From c7d04abfd27b9d6da820d2df708a8bf7f075d7bc Mon Sep 17 00:00:00 2001 From: He Sichao <1310722434@qq.com> Date: Sun, 12 May 2024 15:57:12 +0800 Subject: [PATCH] Revert "Fix" This reverts commit 211e974553207c7c49cd0ceea00960cf47d39165. --- brainpy/_src/analysis/highdim/slow_points.py | 2 +- brainpy/_src/dependency_check.py | 10 +- brainpy/_src/train/back_propagation.py | 2 +- docs/quickstart/analysis.ipynb | 296 +++++++++-- .../advanced_lowdim_analysis.ipynb | 144 +++++- .../integrate_bp_convlstm_into_flax.ipynb | 48 +- .../integrate_bp_lif_into_flax.ipynb | 52 +- .../integrate_flax_into_brainpy.ipynb | 76 ++- docs/tutorial_advanced/interoperation.ipynb | 145 +++++- docs/tutorial_analysis/highdim_analysis.ipynb | 174 +++++-- docs/tutorial_analysis/lowdim_analysis.ipynb | 283 +++++++++-- .../build_conductance_neurons_v2.ipynb | 187 +++++-- .../customize_dynamical_systems.ipynb | 289 +++++++++-- .../customize_neuron_models.ipynb | 97 +++- .../ode_numerical_solvers.ipynb | 480 +++++++++++++++--- requirements-dev.txt | 2 +- 16 files changed, 1880 insertions(+), 407 deletions(-) diff --git a/brainpy/_src/analysis/highdim/slow_points.py b/brainpy/_src/analysis/highdim/slow_points.py index 9f31946f2..ee91b55a5 100644 --- a/brainpy/_src/analysis/highdim/slow_points.py +++ b/brainpy/_src/analysis/highdim/slow_points.py @@ -329,7 +329,7 @@ def find_fps_with_gd_method( """ # optimization settings if optimizer is None: - optimizer = optim.Adam(lr=optim.ExponentialDecayLR(0.2, 1, 0.9999), + optimizer = optim.Adam(lr=optim.ExponentialDecay(0.2, 1, 0.9999), beta1=0.9, beta2=0.999, eps=1e-8) else: if not isinstance(optimizer, optim.Optimizer): diff --git a/brainpy/_src/dependency_check.py b/brainpy/_src/dependency_check.py index 75c2051f9..1e1060625 100644 --- a/brainpy/_src/dependency_check.py +++ b/brainpy/_src/dependency_check.py @@ -57,13 +57,9 @@ def import_taichi(error_if_not_found=True): if taichi is None: return None - taichi_version = taichi.__version__[0] * 10000 + taichi.__version__[1] * 100 + taichi.__version__[2] - minimal_taichi_version = _minimal_taichi_version[0] * 10000 + _minimal_taichi_version[1] * 100 + \ - _minimal_taichi_version[2] - if taichi_version >= minimal_taichi_version: - return taichi - else: - raise ModuleNotFoundError(taichi_install_info) + if taichi.__version__ != _minimal_taichi_version: + raise RuntimeError(taichi_install_info) + return taichi def raise_taichi_not_found(*args, **kwargs): diff --git a/brainpy/_src/train/back_propagation.py b/brainpy/_src/train/back_propagation.py index 9de271719..6809d7125 100644 --- a/brainpy/_src/train/back_propagation.py +++ b/brainpy/_src/train/back_propagation.py @@ -111,7 +111,7 @@ def __init__( # optimizer if optimizer is None: - lr = optim.ExponentialDecayLR(lr=0.025, decay_steps=1, decay_rate=0.99975) + lr = optim.ExponentialDecay(lr=0.025, decay_steps=1, decay_rate=0.99975) optimizer = optim.Adam(lr=lr) self.optimizer: optim.Optimizer = optimizer if len(self.optimizer.vars_to_train) == 0: diff --git a/docs/quickstart/analysis.ipynb b/docs/quickstart/analysis.ipynb index 06b4c8e35..d8b62de11 100644 --- a/docs/quickstart/analysis.ipynb +++ b/docs/quickstart/analysis.ipynb @@ -44,6 +44,7 @@ "start_time": "2023-07-21T08:53:37.076294Z" } }, + "outputs": [], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", @@ -51,8 +52,7 @@ "bm.set_platform('cpu')\n", "\n", "bm.enable_x64() # it's better to use x64 computation" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -64,11 +64,21 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.4.3'" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bp.__version__" - ], - "id": "5c4857f63cd31134", - "outputs": [] + ] }, { "cell_type": "markdown", @@ -98,8 +108,7 @@ "\\tau {\\dot {V}}= - (V - V_\\mathrm{rest}) + \\Delta_T \\exp(\\frac{V - V_T}{\\Delta_T}) + RI \\\\\n", "\\mathrm{if}\\, \\, V > \\theta, \\quad V \\gets V_\\mathrm{reset}\n", "$$" - ], - "id": "d271ee8f295541c5" + ] }, { "cell_type": "markdown", @@ -119,10 +128,10 @@ "start_time": "2023-07-21T08:53:38.205190900Z" } }, + "outputs": [], "source": [ "expif = bp.dyn.ExpIF(1, delta_T=1.)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -142,10 +151,21 @@ "start_time": "2023-07-21T08:53:38.240397100Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-65.0, -59.9, 1.0, 10.0)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "expif.V_rest, expif.V_T, expif.R, expif.tau" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -165,6 +185,25 @@ "start_time": "2023-07-21T08:53:38.271666300Z" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am making bifurcation analysis ...\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "bif = bp.analysis.Bifurcation1D(\n", " model=expif,\n", @@ -173,8 +212,7 @@ " resolutions={'I': 0.01}\n", ")\n", "bif.plot_bifurcation(show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -233,10 +271,10 @@ "start_time": "2023-07-21T08:53:39.765423700Z" } }, + "outputs": [], "source": [ "fhn = bp.neurons.FHN(1)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -256,6 +294,38 @@ "start_time": "2023-07-21T08:53:39.781978200Z" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am computing fx-nullcline ...\n", + "I am evaluating fx-nullcline by optimization ...\n", + "I am computing fy-nullcline ...\n", + "I am evaluating fy-nullcline by optimization ...\n", + "I am creating the vector field ...\n", + "I am searching fixed points ...\n", + "I am trying to find fixed points by optimization ...\n", + "\tThere are 866 candidates\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 1 fixed points.\n", + "C:\\Users\\adadu\\miniconda3\\envs\\brainpy\\lib\\site-packages\\jax\\_src\\numpy\\array_methods.py:329: FutureWarning: The arr.split() method is deprecated. Use jax.numpy.split instead.\n", + " warnings.warn(\n", + "\t#1 V=-0.27292232484532325, w=0.5338542697682648 is a unstable node.\n", + "I am plotting the trajectory ...\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "analyzer = bp.analysis.PhasePlane2D(\n", " model=fhn,\n", @@ -268,8 +338,7 @@ "analyzer.plot_fixed_point()\n", "analyzer.plot_trajectory({'V': [-2.8], 'w': [-1.8]}, duration=100.)\n", "analyzer.show_figure()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -286,8 +355,7 @@ }, "source": [ "## Slow point analysis of a high-dimensional system" - ], - "id": "fb22f9a62e1d6bf2" + ] }, { "cell_type": "markdown", @@ -298,8 +366,7 @@ "BrainPy is also capable of performing fixed/slow point analysis of high-dimensional systems. Moreover, it can perform automatic linearization analysis around the fixed point.\n", "\n", "In the following, we use a gap junction coupled FitzHugh–Nagumo (FHN) network as an example to demonstrate how to find fixed/slow points of a high-dimensional system." - ], - "id": "348782d3da2a47b2" + ] }, { "cell_type": "markdown", @@ -308,8 +375,7 @@ }, "source": [ "We first define the gap junction coupled FHN network as the normal ``DynamicalSystem`` class." - ], - "id": "27c05e9457bf149d" + ] }, { "cell_type": "code", @@ -321,6 +387,7 @@ }, "collapsed": false }, + "outputs": [], "source": [ "class GJCoupledFHN(bp.DynamicalSystem):\n", " def __init__(self, num=4, method='exp_auto'):\n", @@ -357,9 +424,7 @@ " self.V.value = self.int_V(self.V, t, self.w, self.Iext, dt)\n", " self.w.value = self.int_w(self.w, t, self.V, dt)\n", " self.Iext[:] = 0." - ], - "id": "1ec3c8f18e1bdefd", - "outputs": [] + ] }, { "cell_type": "markdown", @@ -368,8 +433,7 @@ }, "source": [ "Through simulation, we can easily find that this system has a limit cycle attractor, implying that an unstable fixed point exists." - ], - "id": "887242ab2b8385d8" + ] }, { "cell_type": "code", @@ -381,6 +445,32 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "38aec49e9d2d45feae2b86e578bc99d4", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/3000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# initialize a network\n", "model = GJCoupledFHN(4)\n", @@ -395,9 +485,7 @@ "bp.visualize.line_plot(runner.mon.ts, runner.mon.V, legend='V',\n", " plot_ids=list(range(model.num)),\n", " show=True)" - ], - "id": "39e839214870972d", - "outputs": [] + ] }, { "cell_type": "markdown", @@ -406,8 +494,7 @@ }, "source": [ "Let's try to optimize the fixed points for this system. Note that we only take care of the variables ``V`` and ``w``. Different from the low-dimensional analyzer, we should provide the candidate fixed points or initial fixed points when using the high-dimensional analyzer." - ], - "id": "b4b9edaef7063de9" + ] }, { "cell_type": "code", @@ -419,6 +506,62 @@ }, "collapsed": false }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimizing with Adam(lr=ExponentialDecay(0.05, decay_steps=1, decay_rate=0.9999), last_call=-1), beta1=0.9, beta2=0.999, eps=1e-08) to find fixed points:\n", + " Batches 1-200 in 0.26 sec, Training loss 0.0002995994\n", + " Batches 201-400 in 0.18 sec, Training loss 0.0002198732\n", + " Batches 401-600 in 0.18 sec, Training loss 0.0001709361\n", + " Batches 601-800 in 0.16 sec, Training loss 0.0001350801\n", + " Batches 801-1000 in 0.19 sec, Training loss 0.0001080660\n", + " Batches 1001-1200 in 0.19 sec, Training loss 0.0000874280\n", + " Batches 1201-1400 in 0.18 sec, Training loss 0.0000714055\n", + " Batches 1401-1600 in 0.18 sec, Training loss 0.0000588120\n", + " Batches 1601-1800 in 0.17 sec, Training loss 0.0000487955\n", + " Batches 1801-2000 in 0.20 sec, Training loss 0.0000407884\n", + " Batches 2001-2200 in 0.19 sec, Training loss 0.0000343176\n", + " Batches 2201-2400 in 0.19 sec, Training loss 0.0000290274\n", + " Batches 2401-2600 in 0.16 sec, Training loss 0.0000247239\n", + " Batches 2601-2800 in 0.18 sec, Training loss 0.0000212095\n", + " Batches 2801-3000 in 0.16 sec, Training loss 0.0000183299\n", + " Batches 3001-3200 in 0.18 sec, Training loss 0.0000159301\n", + " Batches 3201-3400 in 0.16 sec, Training loss 0.0000139291\n", + " Batches 3401-3600 in 0.17 sec, Training loss 0.0000122411\n", + " Batches 3601-3800 in 0.18 sec, Training loss 0.0000107966\n", + " Batches 3801-4000 in 0.17 sec, Training loss 0.0000095656\n", + " Batches 4001-4200 in 0.17 sec, Training loss 0.0000085253\n", + " Batches 4201-4400 in 0.17 sec, Training loss 0.0000076526\n", + " Batches 4401-4600 in 0.16 sec, Training loss 0.0000068996\n", + " Batches 4601-4800 in 0.17 sec, Training loss 0.0000062372\n", + " Batches 4801-5000 in 0.18 sec, Training loss 0.0000056478\n", + " Batches 5001-5200 in 0.17 sec, Training loss 0.0000051159\n", + " Batches 5201-5400 in 0.16 sec, Training loss 0.0000046380\n", + " Batches 5401-5600 in 0.17 sec, Training loss 0.0000042123\n", + " Batches 5601-5800 in 0.18 sec, Training loss 0.0000038316\n", + " Batches 5801-6000 in 0.18 sec, Training loss 0.0000034851\n", + " Batches 6001-6200 in 0.17 sec, Training loss 0.0000031683\n", + " Batches 6201-6400 in 0.18 sec, Training loss 0.0000028794\n", + " Batches 6401-6600 in 0.19 sec, Training loss 0.0000026123\n", + " Batches 6601-6800 in 0.18 sec, Training loss 0.0000023623\n", + " Batches 6801-7000 in 0.17 sec, Training loss 0.0000021275\n", + " Batches 7001-7200 in 0.16 sec, Training loss 0.0000019085\n", + " Batches 7201-7400 in 0.19 sec, Training loss 0.0000017086\n", + " Batches 7401-7600 in 0.17 sec, Training loss 0.0000015289\n", + " Batches 7601-7800 in 0.20 sec, Training loss 0.0000013654\n", + " Batches 7801-8000 in 0.18 sec, Training loss 0.0000012114\n", + " Batches 8001-8200 in 0.18 sec, Training loss 0.0000010644\n", + " Batches 8201-8400 in 0.17 sec, Training loss 0.0000009270\n", + " Stop optimization as mean training loss 0.0000009270 is below tolerance 0.0000010000.\n", + "Excluding fixed points with squared speed above tolerance 1e-08:\n", + " Kept 833/1000 fixed points with tolerance under 1e-08.\n", + "Excluding non-unique fixed points:\n", + " Kept 1/833 unique fixed points with uniqueness tolerance 0.025.\n" + ] + } + ], "source": [ "# init a slow point finder\n", "finder = bp.analysis.SlowPointFinder(f_cell=model,\n", @@ -439,9 +582,7 @@ "\n", "# remove the duplicate fixed points\n", "finder.keep_unique()" - ], - "id": "93a39934b76ab99b", - "outputs": [] + ] }, { "cell_type": "code", @@ -453,12 +594,30 @@ }, "collapsed": false }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fixed points:\n" + ] + }, + { + "data": { + "text/plain": [ + "{'V': array([[-1.17757852, -1.17757852, -1.17757852, -0.81465053]]),\n", + " 'w': array([[-0.59697314, -0.59697314, -0.59697314, -0.14331316]])}" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "print('fixed points:', )\n", "finder.fixed_points" - ], - "id": "798d9b058a36a771", - "outputs": [] + ] }, { "cell_type": "code", @@ -470,12 +629,29 @@ }, "collapsed": false }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fixed point losses:\n" + ] + }, + { + "data": { + "text/plain": [ + "array([4.28142148e-25])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "print('fixed point losses:', )\n", "finder.losses" - ], - "id": "beba0060cad9d075", - "outputs": [] + ] }, { "cell_type": "markdown", @@ -484,8 +660,7 @@ }, "source": [ "Let's perform the linearization analysis of the found fixed points, and visualize its decomposition results." - ], - "id": "825cd200b076c605" + ] }, { "cell_type": "code", @@ -497,11 +672,29 @@ }, "collapsed": false }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\adadu\\miniconda3\\envs\\brainpy\\lib\\site-packages\\jax\\_src\\numpy\\array_methods.py:329: FutureWarning: The arr.split() method is deprecated. Use jax.numpy.split instead.\n", + " warnings.warn(\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "_ = finder.compute_jacobians(finder.fixed_points, plot=True)" - ], - "id": "67b1a510194df3b4", - "outputs": [] + ] }, { "cell_type": "markdown", @@ -510,8 +703,7 @@ }, "source": [ "This is an unstable fixed point, because one of its eigenvalues has the real part bigger than 1." - ], - "id": "81de904ef0bf4107" + ] }, { "cell_type": "markdown", @@ -520,8 +712,7 @@ }, "source": [ "## Further reading" - ], - "id": "f394ba4c942b6fb8" + ] }, { "cell_type": "markdown", @@ -532,8 +723,7 @@ "- For more details about how to perform bifurcation analysis and phase plane analysis, please see the tutorial of [Low-dimensional Analyzers](../tutorial_analysis/lowdim_analysis.ipynb).\n", "- A good example of phase plane analysis and bifurcation analysis is the decision-making model, please see the tutorial in [Analysis of a Decision-making Model](../tutorial_analysis/decision_making_model.ipynb)\n", "- If you want to how to analyze the slow points (or fixed points) of your high-dimensional dynamical models, please see the tutorial of [High-dimensional Analyzers](../tutorial_analysis/highdim_analysis.ipynb)" - ], - "id": "2e4827a83523e94b" + ] } ], "metadata": { diff --git a/docs/tutorial_advanced/advanced_lowdim_analysis.ipynb b/docs/tutorial_advanced/advanced_lowdim_analysis.ipynb index bdd1a50a4..036224ce9 100644 --- a/docs/tutorial_advanced/advanced_lowdim_analysis.ipynb +++ b/docs/tutorial_advanced/advanced_lowdim_analysis.ipynb @@ -54,14 +54,14 @@ "name": "#%%\n" } }, + "outputs": [], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", "\n", "# bp.math.set_platform('cpu')\n", "bp.math.enable_x64() # It's better to enable x64 when performing analysis" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -71,11 +71,11 @@ "name": "#%%\n" } }, + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -118,6 +118,7 @@ "name": "#%%\n" } }, + "outputs": [], "source": [ "class FitzHughNagumoModel(bp.dyn.DynamicalSystem):\n", " def __init__(self, method='exp_auto'):\n", @@ -145,8 +146,7 @@ " self.V.value = self.int_V(self.V, tdi.t, self.w, self.Iext, tdi.dt)\n", " self.w.value = self.int_w(self.w, tdi.t, self.V, self.a, self.b, tdi.dt)\n", " self.Iext[:] = 0." - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -156,10 +156,10 @@ "name": "#%%\n" } }, + "outputs": [], "source": [ "model = FitzHughNagumoModel()" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -169,14 +169,14 @@ "name": "#%%\n" } }, + "outputs": [], "source": [ "analyzer = bp.analysis.PhasePlane2D(\n", " [model.int_V, model.int_w],\n", " target_vars={'V': [-3, 3], 'w': [-3., 3.]},\n", " resolutions={'V': 0.01, 'w': 0.01},\n", ")" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -208,10 +208,21 @@ "name": "#%%\n" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "('V', 'w')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "analyzer.x_var, analyzer.y_var" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -246,10 +257,24 @@ "name": "#%%\n" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "(JITTransform(target=f2, \n", + " num_of_vars=0),\n", + " JITTransform(target=f2, \n", + " num_of_vars=0))" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "analyzer.F_fx, analyzer.F_fy" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -270,10 +295,22 @@ "name": "#%%\n" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "(functools.partial(.inner..call at 0x00000268A2599E50>),\n", + " functools.partial(.inner..call at 0x00000268A2599EE0>))" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "analyzer.F_int_x, analyzer.F_int_y" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -350,10 +387,21 @@ "name": "#%%\n" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "Array([-10. , -9.999, -9.998, ..., 9.997, 9.998, 9.999], dtype=float64)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bp.math.arange(-10, 10, 0.001)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -385,6 +433,7 @@ "name": "#%%\n" } }, + "outputs": [], "source": [ "def plot_interval(x0, x1, f):\n", " xs = np.linspace(x0, x1, 100)\n", @@ -392,8 +441,7 @@ " plt.scatter([x0, x1], f(np.asarray([x0, x1])), edgecolors='r')\n", " plt.axhline(0)\n", " plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -403,10 +451,23 @@ "name": "#%%\n" } }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plot_interval(-0.001, 0.001, lambda x: np.sin(x))" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -520,6 +581,42 @@ "name": "#%%\n" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am making bifurcation analysis ...\n", + "I am trying to find fixed points by brentq optimization ...\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 5000 fixed points.\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "analyzer = bp.analysis.Bifurcation2D(\n", " model,\n", @@ -530,8 +627,7 @@ ")\n", "analyzer.plot_bifurcation()\n", "analyzer.show_figure()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", diff --git a/docs/tutorial_advanced/integrate_bp_convlstm_into_flax.ipynb b/docs/tutorial_advanced/integrate_bp_convlstm_into_flax.ipynb index 08ea346b2..e8d353e3e 100644 --- a/docs/tutorial_advanced/integrate_bp_convlstm_into_flax.ipynb +++ b/docs/tutorial_advanced/integrate_bp_convlstm_into_flax.ipynb @@ -21,6 +21,7 @@ "cell_type": "code", "execution_count": 1, "metadata": {}, + "outputs": [], "source": [ "import jax\n", "import jax.numpy as jnp\n", @@ -34,33 +35,33 @@ "\n", "import brainpy as bp\n", "import brainpy.math as bm" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, + "outputs": [], "source": [ "bm.set(mode=bm.training_mode, dt=1.)\n", "\n", "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, + "outputs": [], "source": [ "num_time = 10" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, + "outputs": [], "source": [ "# the recurrent cell with trainable parameters\n", "cell1 = bp.dnn.ToFlaxRNNCell(bp.dyn.Conv2dLSTMCell((28, 28),\n", @@ -71,13 +72,13 @@ " in_channels=32,\n", " out_channels=64,\n", " kernel_size=(3, 3)))" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, + "outputs": [], "source": [ "class CNN(nn.Module):\n", " \"\"\"A simple CNN model.\"\"\"\n", @@ -93,13 +94,13 @@ " x = nn.relu(x)\n", " x = nn.Dense(features=10)(x)\n", " return x" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, + "outputs": [], "source": [ "@jax.jit\n", "def apply_model(state, images, labels):\n", @@ -118,24 +119,24 @@ " (loss, logits), grads = grad_fn(state.params)\n", " accuracy = jnp.mean(jnp.argmax(logits, -1) == labels)\n", " return grads, loss, accuracy" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, + "outputs": [], "source": [ "@jax.jit\n", "def update_model(state, grads):\n", " return state.apply_gradients(grads=grads)" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, + "outputs": [], "source": [ "def train_epoch(state, train_ds, batch_size, rng):\n", " \"\"\"Train for a single epoch.\"\"\"\n", @@ -159,13 +160,13 @@ " train_loss = np.mean(epoch_loss)\n", " train_accuracy = np.mean(epoch_accuracy)\n", " return state, train_loss, train_accuracy" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, + "outputs": [], "source": [ "def get_datasets():\n", " \"\"\"Load MNIST train and test datasets into memory.\"\"\"\n", @@ -176,13 +177,13 @@ " train_ds['image'] = jnp.asarray(train_ds['image']) / 255.\n", " test_ds['image'] = jnp.asarray(test_ds['image']) / 255.\n", " return train_ds, test_ds" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, + "outputs": [], "source": [ "def create_train_state(rng, config):\n", " \"\"\"Creates initial `TrainState`.\"\"\"\n", @@ -190,13 +191,13 @@ " params = cnn.init(rng, jnp.ones([1, num_time, 28, 28, 1]))['params']\n", " tx = optax.sgd(config.learning_rate, config.momentum)\n", " return train_state.TrainState.create(apply_fn=cnn.apply, params=params, tx=tx)" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, + "outputs": [], "source": [ "def train_and_evaluate(config: ml_collections.ConfigDict,\n", " workdir: str) -> train_state.TrainState:\n", @@ -246,13 +247,13 @@ "\n", " summary_writer.flush()\n", " return state" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, + "outputs": [], "source": [ "config = ml_collections.ConfigDict()\n", "\n", @@ -262,8 +263,7 @@ "config.num_epochs = 10\n", "\n", "train_and_evaluate(config, './ckpt')" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_advanced/integrate_bp_lif_into_flax.ipynb b/docs/tutorial_advanced/integrate_bp_lif_into_flax.ipynb index 3de2b6595..61e7f432d 100644 --- a/docs/tutorial_advanced/integrate_bp_lif_into_flax.ipynb +++ b/docs/tutorial_advanced/integrate_bp_lif_into_flax.ipynb @@ -23,6 +23,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "import jax\n", "import jax.numpy as jnp\n", @@ -36,8 +37,7 @@ "\n", "import brainpy as bp\n", "import brainpy.math as bm" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -45,12 +45,12 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "bm.set(mode=bm.training_mode, dt=1.)\n", "\n", "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -58,10 +58,10 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "num_time = 10" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -69,10 +69,10 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "pars = dict(tau=10, V_reset=0, V_rest=0, V_th=0.1, keep_size=True, input_var=False)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -80,13 +80,13 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "# LIF neurons can be viewed as a recurrent cell without trainable parameters\n", "cell1 = bp.dnn.ToFlaxRNNCell(bp.neurons.LIF((28, 28, 32), **pars))\n", "cell2 = bp.dnn.ToFlaxRNNCell(bp.neurons.LIF((14, 14, 64), **pars))\n", "cell3 = bp.dnn.ToFlaxRNNCell(bp.neurons.LIF(256, **pars))" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -94,6 +94,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "class CNN(nn.Module):\n", " @nn.compact\n", @@ -109,8 +110,7 @@ " x = nn.RNN(cell3, cell3.model.varshape)(x) # Use RNN to unfold the recurrent LIF\n", " x = nn.Dense(features=10)(x)\n", " return x" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -118,6 +118,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "@jax.jit\n", "def apply_model(state, images, labels):\n", @@ -136,8 +137,7 @@ " (loss, logits), grads = grad_fn(state.params)\n", " accuracy = jnp.mean(jnp.argmax(logits, -1) == labels)\n", " return grads, loss, accuracy" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -145,12 +145,12 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "@jax.jit\n", "def update_model(state, grads):\n", " return state.apply_gradients(grads=grads)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -158,6 +158,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "def train_epoch(state, train_ds, batch_size, rng):\n", " \"\"\"Train for a single epoch.\"\"\"\n", @@ -181,8 +182,7 @@ " train_loss = np.mean(epoch_loss)\n", " train_accuracy = np.mean(epoch_accuracy)\n", " return state, train_loss, train_accuracy" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -190,6 +190,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "def get_datasets():\n", " \"\"\"Load MNIST train and test datasets into memory.\"\"\"\n", @@ -200,8 +201,7 @@ " train_ds['image'] = jnp.asarray(train_ds['image']) / 255.\n", " test_ds['image'] = jnp.asarray(test_ds['image']) / 255.\n", " return train_ds, test_ds" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -209,6 +209,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "def create_train_state(rng, config):\n", " \"\"\"Creates initial `TrainState`.\"\"\"\n", @@ -216,8 +217,7 @@ " params = cnn.init(rng, jnp.ones([1, num_time, 28, 28, 1]))['params']\n", " tx = optax.sgd(config.learning_rate, config.momentum)\n", " return train_state.TrainState.create(apply_fn=cnn.apply, params=params, tx=tx)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -225,6 +225,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "def train_and_evaluate(config: ml_collections.ConfigDict,\n", " workdir: str) -> train_state.TrainState:\n", @@ -274,8 +275,7 @@ "\n", " summary_writer.flush()\n", " return state" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -283,6 +283,7 @@ "metadata": { "is_executing": true }, + "outputs": [], "source": [ "config = ml_collections.ConfigDict()\n", "\n", @@ -292,8 +293,7 @@ "config.num_epochs = 10\n", "\n", "train_and_evaluate(config, './ckpt')" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_advanced/integrate_flax_into_brainpy.ipynb b/docs/tutorial_advanced/integrate_flax_into_brainpy.ipynb index 1fe98cade..7cd5bf580 100644 --- a/docs/tutorial_advanced/integrate_flax_into_brainpy.ipynb +++ b/docs/tutorial_advanced/integrate_flax_into_brainpy.ipynb @@ -25,12 +25,12 @@ "is_executing": true } }, + "outputs": [], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", "import brainpy_datasets as bd" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -42,11 +42,11 @@ }, "collapsed": false }, + "outputs": [], "source": [ "from functools import partial\n", "from flax import linen as nn" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -58,10 +58,10 @@ }, "collapsed": false }, + "outputs": [], "source": [ "bm.set(mode=bm.training_mode, dt=1.)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -73,10 +73,21 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.4.1'" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -106,6 +117,7 @@ }, "collapsed": false }, + "outputs": [], "source": [ "class CNN(nn.Module):\n", " \"\"\"A CNN model implemented by using Flax.\"\"\"\n", @@ -122,8 +134,7 @@ " x = nn.Dense(features=256)(x)\n", " x = nn.relu(x)\n", " return x" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -144,6 +155,7 @@ }, "collapsed": false }, + "outputs": [], "source": [ "class Network(bp.DynamicalSystemNS):\n", " def __init__(self):\n", @@ -160,8 +172,7 @@ " x = self.rnn(x)\n", " x = self.linear(x)\n", " return x" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -182,11 +193,19 @@ }, "collapsed": false }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" + ] + } + ], "source": [ "net = Network()\n", "opt = bp.optim.Momentum(0.1)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -207,6 +226,7 @@ }, "collapsed": false }, + "outputs": [], "source": [ "data = bd.vision.MNIST(r'D:\\data', download=True)\n", "data.data = data.data.reshape(-1, 7, 4, 28, 1) / 255\n", @@ -219,8 +239,7 @@ "\n", " for i in range(0, len(data), batch_size):\n", " yield data.data[i: i + batch_size], data.targets[i: i + batch_size]" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -232,14 +251,14 @@ }, "collapsed": false }, + "outputs": [], "source": [ "def loss_func(predictions, targets):\n", " logits = bm.max(predictions, axis=1)\n", " loss = bp.losses.cross_entropy_loss(logits, targets)\n", " accuracy = bm.mean(bm.argmax(logits, -1) == targets)\n", " return loss, {'accuracy': accuracy}" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -260,11 +279,28 @@ }, "collapsed": false }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train 0 epoch, use 104.2070 s, loss 1.0793957710266113, accuracy 0.616583526134491\n", + "Train 1 epoch, use 85.4961 s, loss 0.4177210330963135, accuracy 0.8495622277259827\n", + "Train 2 epoch, use 85.1781 s, loss 0.27014848589897156, accuracy 0.9093307256698608\n", + "Train 3 epoch, use 85.4031 s, loss 0.23874548077583313, accuracy 0.9184618592262268\n", + "Train 4 epoch, use 86.0905 s, loss 0.21281874179840088, accuracy 0.925542950630188\n", + "Train 5 epoch, use 85.5581 s, loss 0.19409772753715515, accuracy 0.9322085380554199\n", + "Train 6 epoch, use 85.9805 s, loss 0.18303607404232025, accuracy 0.9356383085250854\n", + "Train 7 epoch, use 85.0740 s, loss 0.16687186062335968, accuracy 0.9404421448707581\n", + "Train 8 epoch, use 85.7086 s, loss 0.1607382893562317, accuracy 0.9421210289001465\n", + "Train 9 epoch, use 87.4538 s, loss 0.15550467371940613, accuracy 0.9443760514259338\n" + ] + } + ], "source": [ "trainer = bp.BPTT(net, loss_fun=loss_func, optimizer=opt, loss_has_aux=True)\n", "trainer.fit(partial(get_data, batch_size=256), num_epoch=10)" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_advanced/interoperation.ipynb b/docs/tutorial_advanced/interoperation.ipynb index 6c4e9061b..5e96d53d1 100644 --- a/docs/tutorial_advanced/interoperation.ipynb +++ b/docs/tutorial_advanced/interoperation.ipynb @@ -25,22 +25,22 @@ "is_executing": true } }, + "outputs": [], "source": [ "import brainpy as bp\n", "import brainpy_datasets as bd" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, + "outputs": [], "source": [ "import brainpy.math as bm\n", "import jax.numpy as jnp\n", "import numpy as np" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -61,20 +61,39 @@ "cell_type": "code", "execution_count": 3, "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" + ] + } + ], "source": [ "b = bm.random.randint(10, size=5)" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DeviceArray([9, 9, 0, 4, 7], dtype=int32)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Array.value is a JAX's DeviceArray\n", "b.value" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -87,11 +106,22 @@ "cell_type": "code", "execution_count": 5, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([9, 9, 0, 4, 7])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Array can be easily converted to a numpy ndarray\n", "np.asarray(b)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -104,10 +134,21 @@ "cell_type": "code", "execution_count": 6, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Array([0, 1, 2, 3, 4], dtype=int32)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bm.asarray(np.arange(5))" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -120,19 +161,41 @@ "cell_type": "code", "execution_count": 7, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Array([0, 1, 2, 3, 4], dtype=int32)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bm.asarray(jnp.arange(5))" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Array([0, 1, 2, 3, 4], dtype=int32)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bm.Array(jnp.arange(5))" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -159,6 +222,7 @@ "cell_type": "code", "execution_count": 14, "metadata": {}, + "outputs": [], "source": [ "from flax import linen as nn\n", "\n", @@ -177,8 +241,7 @@ " x = nn.Dense(features=256)(x)\n", " x = nn.relu(x)\n", " return x" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -191,6 +254,7 @@ "cell_type": "code", "execution_count": 15, "metadata": {}, + "outputs": [], "source": [ "class Network(bp.DynamicalSystemNS):\n", " \"\"\"A network model implemented by BrainPy\"\"\"\n", @@ -206,8 +270,7 @@ " x = self.rnn(x)\n", " x = self.linear(x)\n", " return x" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -220,6 +283,7 @@ "cell_type": "code", "execution_count": 16, "metadata": {}, + "outputs": [], "source": [ "net = Network()\n", "opt = bp.optim.Momentum(0.1)\n", @@ -231,8 +295,7 @@ " return loss, {'accuracy': accuracy}\n", "\n", "trainer = bp.BPTT(net, loss_fun=loss_func, optimizer=opt, loss_has_aux=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -245,12 +308,12 @@ "cell_type": "code", "execution_count": 17, "metadata": {}, + "outputs": [], "source": [ "train_dataset = bd.vision.MNIST(r'D:\\data', download=True)\n", "X = train_dataset.data.reshape((-1, 7, 4, 28, 1)) / 255\n", "Y = train_dataset.targets" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -263,10 +326,40 @@ "cell_type": "code", "execution_count": 18, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train 100 steps, use 32.5824 s, train loss 0.96465, accuracy 0.66015625\n", + "Train 200 steps, use 30.9035 s, train loss 0.38974, accuracy 0.89453125\n", + "Train 300 steps, use 33.1075 s, train loss 0.31525, accuracy 0.890625\n", + "Train 400 steps, use 31.4062 s, train loss 0.23846, accuracy 0.91015625\n", + "Train 500 steps, use 32.3371 s, train loss 0.21995, accuracy 0.9296875\n", + "Train 600 steps, use 32.5692 s, train loss 0.20885, accuracy 0.92578125\n", + "Train 700 steps, use 33.0139 s, train loss 0.24748, accuracy 0.90625\n", + "Train 800 steps, use 31.9635 s, train loss 0.14563, accuracy 0.953125\n", + "Train 900 steps, use 31.8845 s, train loss 0.17017, accuracy 0.94140625\n", + "Train 1000 steps, use 32.0537 s, train loss 0.09413, accuracy 0.95703125\n", + "Train 1100 steps, use 32.3714 s, train loss 0.06015, accuracy 0.984375\n", + "Train 1200 steps, use 31.6957 s, train loss 0.12061, accuracy 0.94921875\n", + "Train 1300 steps, use 31.8346 s, train loss 0.13908, accuracy 0.953125\n", + "Train 1400 steps, use 31.5252 s, train loss 0.10718, accuracy 0.953125\n", + "Train 1500 steps, use 31.7274 s, train loss 0.07869, accuracy 0.96875\n", + "Train 1600 steps, use 32.3928 s, train loss 0.08295, accuracy 0.96875\n", + "Train 1700 steps, use 31.7718 s, train loss 0.07569, accuracy 0.96484375\n", + "Train 1800 steps, use 31.9243 s, train loss 0.08607, accuracy 0.9609375\n", + "Train 1900 steps, use 32.2454 s, train loss 0.04332, accuracy 0.984375\n", + "Train 2000 steps, use 31.6231 s, train loss 0.02369, accuracy 0.9921875\n", + "Train 2100 steps, use 31.7800 s, train loss 0.03862, accuracy 0.9765625\n", + "Train 2200 steps, use 31.5431 s, train loss 0.01871, accuracy 0.9921875\n", + "Train 2300 steps, use 32.1064 s, train loss 0.03255, accuracy 0.9921875\n" + ] + } + ], "source": [ "trainer.fit([X, Y], batch_size=256, num_epoch=10)" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_analysis/highdim_analysis.ipynb b/docs/tutorial_analysis/highdim_analysis.ipynb index 7f4cb1f90..db0e161e6 100644 --- a/docs/tutorial_analysis/highdim_analysis.ipynb +++ b/docs/tutorial_analysis/highdim_analysis.ipynb @@ -45,6 +45,18 @@ "start_time": "2023-04-15T20:17:39.720311Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.4.0'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", @@ -52,8 +64,7 @@ "bm.set_platform('cpu')\n", "\n", "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -150,8 +161,7 @@ "- exclude any non-unique fixed points according to a tolerance: ``keep_unique()``\n", "- exclude any far-away \"outlier\" fixed points: ``exclude_outliers()``\n", "- computing the jacobian matrix for the given fixed/slow points: ``compute_jacobians()``" - ], - "id": "83b393e8e480b89e" + ] }, { "cell_type": "markdown", @@ -179,6 +189,7 @@ "start_time": "2023-04-15T20:17:40.931362Z" } }, + "outputs": [], "source": [ "# parameters\n", "\n", @@ -196,8 +207,7 @@ "coh = 0.5 # Stimulus coherence [%]\n", "Ib1 = 0.3297\n", "Ib2 = 0.3297" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -209,6 +219,7 @@ "start_time": "2023-04-15T20:17:40.953635Z" } }, + "outputs": [], "source": [ "@bp.odeint\n", "def int_s1(s1, t, s2, coh=0.5, mu=20.):\n", @@ -226,8 +237,7 @@ " ds1 = int_s1.f(s[0], 0., s[1])\n", " ds2 = int_s2.f(s[1], 0., s[0])\n", " return bm.asarray([ds1, ds2])" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -247,6 +257,23 @@ "start_time": "2023-04-15T20:17:40.963707Z" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am searching fixed points ...\n", + "I am filtering out fixed point candidates with auxiliary function ...\n", + "I am trying to find fixed points by optimization ...\n", + "\tThere are 100 candidates\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 3 fixed points.\n", + "\t#1 s1=0.2827633321285248, s2=0.40635180473327637 is a saddle node.\n", + "\t#2 s1=0.013946513645350933, s2=0.6573889851570129 is a stable node.\n", + "\t#3 s1=0.7004518508911133, s2=0.004864312242716551 is a stable node.\n" + ] + } + ], "source": [ "analyzer = bp.analysis.PhasePlane2D(\n", " model=[int_s1, int_s2],\n", @@ -254,8 +281,7 @@ " resolutions=0.001,\n", ")\n", "analyzer.plot_fixed_point(select_candidates='aux_rank', with_plot=False)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -275,6 +301,26 @@ "start_time": "2023-04-15T20:17:45.198909Z" } }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimizing with Adam(lr=ExponentialDecay(0.01, decay_steps=1, decay_rate=0.9999), last_call=-1), beta1=0.9, beta2=0.999, eps=1e-08) to find fixed points:\n", + " Batches 1-200 in 0.33 sec, Training loss 0.0564389601\n", + " Batches 201-400 in 0.26 sec, Training loss 0.0043550408\n", + " Batches 401-600 in 0.27 sec, Training loss 0.0005843132\n", + " Batches 601-800 in 0.24 sec, Training loss 0.0001128447\n", + " Batches 801-1000 in 0.25 sec, Training loss 0.0000241747\n", + " Batches 1001-1200 in 0.25 sec, Training loss 0.0000052570\n", + " Stop optimization as mean training loss 0.0000052570 is below tolerance 0.0000100000.\n", + "Excluding fixed points with squared speed above tolerance 1e-05:\n", + " Kept 954/1000 fixed points with tolerance under 1e-05.\n", + "Excluding non-unique fixed points:\n", + " Kept 3/954 unique fixed points with uniqueness tolerance 0.025.\n" + ] + } + ], "source": [ "finder = bp.analysis.SlowPointFinder(f_cell=step, f_type=\"continuous\")\n", "finder.find_fps_with_gd_method(\n", @@ -285,8 +331,7 @@ ")\n", "finder.filter_loss(1e-5)\n", "finder.keep_unique()" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -298,10 +343,23 @@ "start_time": "2023-04-15T20:17:48.008505Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.01394652, 0.657389 ],\n", + " [0.28276348, 0.4063521 ],\n", + " [0.700452 , 0.00486421]], dtype=float32)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "finder.fixed_points" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -337,6 +395,7 @@ "start_time": "2023-04-15T20:17:48.027197Z" } }, + "outputs": [], "source": [ "class CANN1D(bp.NeuGroup):\n", " def __init__(self, num, tau=1., k=8.1, a=0.5, A=10., J0=4., z_min=-bm.pi, z_max=bm.pi):\n", @@ -397,8 +456,7 @@ "\n", " def cell(self, u):\n", " return self.derivative(u, 0., 0.)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -410,11 +468,10 @@ }, "collapsed": false }, + "outputs": [], "source": [ "cann = CANN1D(num=512, k=0.1, A=30)" - ], - "id": "f2a7bb8cc97723f5", - "outputs": [] + ] }, { "cell_type": "markdown", @@ -423,8 +480,7 @@ }, "source": [ "The following code demonstrates how to use ``SlowPointFinder`` to find fixed points of a continuous attractor neural network." - ], - "id": "e4ae5809fb20b7e6" + ] }, { "cell_type": "code", @@ -437,6 +493,20 @@ }, "scrolled": false }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimizing with BFGS to find fixed points:\n", + " Found 629 fixed points from 629 initial points.\n", + "Excluding fixed points with squared speed above tolerance 1e-06:\n", + " Kept 357/629 fixed points with tolerance under 1e-06.\n", + "Excluding non-unique fixed points:\n", + " Kept 357/357 unique fixed points with uniqueness tolerance 0.025.\n" + ] + } + ], "source": [ "# initialize an instance of slow point finder\n", "finder = bp.analysis.SlowPointFinder(\n", @@ -453,8 +523,7 @@ "finder.find_fps_with_opt_solver({'u': candidates})\n", "finder.filter_loss(1e-6)\n", "finder.keep_unique()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -463,8 +532,7 @@ }, "source": [ "The found fixed points are a series of attractor. We can visualize this line of attractors on a 2D space." - ], - "id": "fa3d2f78b8a56714" + ] }, { "cell_type": "code", @@ -476,6 +544,18 @@ "start_time": "2023-04-15T20:18:40.614446Z" } }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from sklearn.decomposition import PCA\n", "import matplotlib.pyplot as plt\n", @@ -488,8 +568,7 @@ "plt.title('Fixed points PCA')\n", "plt.legend()\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -498,8 +577,7 @@ }, "source": [ "These fixed points can also be plotted on the feature space. In the following, we plot the selected points." - ], - "id": "a0acf2c5e8705825" + ] }, { "cell_type": "code", @@ -511,6 +589,7 @@ }, "collapsed": false }, + "outputs": [], "source": [ "def visualize_fixed_points(fps, plot_ids=(0,), xs=None):\n", " for i in plot_ids:\n", @@ -522,9 +601,7 @@ " plt.xlabel('Feature')\n", " plt.ylabel('Bump activity')\n", " plt.show()" - ], - "id": "7d786f07de12d471", - "outputs": [] + ] }, { "cell_type": "code", @@ -536,12 +613,23 @@ "start_time": "2023-04-15T20:18:41.048298Z" } }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "visualize_fixed_points(finder.fixed_points['u'],\n", " plot_ids=(10, 20, 30, 40, 50, 60, 70, 80),\n", " xs=cann.x)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -550,8 +638,7 @@ }, "source": [ "Let's find the linear part or the Jacobian matrix around the fixed points. We decompose Jacobian matrix and then visualize its stability." - ], - "id": "43d354c99b07fc61" + ] }, { "cell_type": "code", @@ -563,6 +650,18 @@ "start_time": "2023-04-15T20:18:41.152904Z" } }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from jax import tree_map\n", "\n", @@ -571,8 +670,7 @@ "\n", "# compute jacobian and visualize the decomposed jacobian matrix\n", "J = finder.compute_jacobians(fps, plot=True, num_col=2)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", diff --git a/docs/tutorial_analysis/lowdim_analysis.ipynb b/docs/tutorial_analysis/lowdim_analysis.ipynb index ffa14f508..7d5167802 100644 --- a/docs/tutorial_analysis/lowdim_analysis.ipynb +++ b/docs/tutorial_analysis/lowdim_analysis.ipynb @@ -46,6 +46,18 @@ "start_time": "2023-04-15T20:17:58.385217Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.4.0'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", @@ -54,8 +66,7 @@ "bm.set_platform('cpu')\n", "\n", "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -66,11 +77,11 @@ "start_time": "2023-04-15T20:18:02.503506Z" } }, + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -108,6 +119,18 @@ "start_time": "2023-04-15T20:18:03.873066Z" } }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "xs = np.arange(-10, 10, 0.01)\n", "\n", @@ -116,8 +139,7 @@ "plt.scatter([-2*np.pi, 0, 2*np.pi], np.zeros(3), s=80, facecolors='none', edgecolors='r')\n", "plt.axhline(0)\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -144,12 +166,12 @@ "start_time": "2023-04-15T20:18:04.564267Z" } }, + "outputs": [], "source": [ "@bp.odeint\n", "def int_x(x, t, Iext):\n", " return bp.math.sin(x) + Iext" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -174,6 +196,33 @@ "start_time": "2023-04-15T20:18:04.580281Z" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am creating the vector field ...\n", + "I am searching fixed points ...\n", + "Fixed point #1 at x=-9.424777960769386 is a stable point.\n", + "Fixed point #2 at x=-6.283185307179586 is a unstable point.\n", + "Fixed point #3 at x=-3.1415926535897984 is a stable point.\n", + "Fixed point #4 at x=3.552755127361717e-18 is a unstable point.\n", + "Fixed point #5 at x=3.1415926535897984 is a stable point.\n", + "Fixed point #6 at x=6.283185307179586 is a unstable point.\n", + "Fixed point #7 at x=9.424777960769386 is a stable point.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pp = bp.analysis.PhasePlane1D(\n", " model=int_x,\n", @@ -183,8 +232,7 @@ ")\n", "pp.plot_vector_field()\n", "pp.plot_fixed_point(show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -219,6 +267,25 @@ }, "scrolled": false }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am making bifurcation analysis ...\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "bif = bp.analysis.Bifurcation1D(\n", " model=int_x,\n", @@ -227,8 +294,7 @@ " resolutions={'Iext': 0.005, 'x': 0.05}\n", ")\n", "bif.plot_bifurcation(show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -308,6 +374,7 @@ "start_time": "2023-04-15T20:18:21.015687Z" } }, + "outputs": [], "source": [ "class FitzHughNagumoModel(bp.DynamicalSystem):\n", " def __init__(self, method='exp_auto'):\n", @@ -335,8 +402,7 @@ " self.V.value = self.int_V(self.V, tdi.t, self.w, self.Iext, tdi.dt)\n", " self.w.value = self.int_w(self.w, tdi.t, self.V, self.a, self.b, tdi.dt)\n", " self.Iext[:] = 0." - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -347,10 +413,10 @@ "start_time": "2023-04-15T20:18:21.031314Z" } }, + "outputs": [], "source": [ "model = FitzHughNagumoModel()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -368,6 +434,7 @@ "start_time": "2023-04-15T20:18:21.046940Z" } }, + "outputs": [], "source": [ "pp = bp.analysis.PhasePlane2D(\n", " model,\n", @@ -375,8 +442,7 @@ " pars_update={'Iext': 0.8}, \n", " resolutions={'V': 0.01, 'w': 0.01},\n", ")" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -388,6 +454,36 @@ }, "scrolled": false }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am computing fx-nullcline ...\n", + "I am evaluating fx-nullcline by optimization ...\n", + "I am computing fy-nullcline ...\n", + "I am evaluating fy-nullcline by optimization ...\n", + "I am creating the vector field ...\n", + "I am searching fixed points ...\n", + "I am trying to find fixed points by optimization ...\n", + "\tThere are 866 candidates\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 1 fixed points.\n", + "\t#1 V=-0.2729223248464073, w=0.5338542697673022 is a unstable node.\n", + "I am plotting the trajectory ...\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# By defaut, nullclines will be plotted as points, \n", "# while we can set the plot style as the line\n", @@ -410,8 +506,7 @@ "\n", "# show the phase plane figure\n", "pp.show_figure()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -432,14 +527,39 @@ }, "scrolled": false }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f2462d3fd8624ceb81720d8905190650", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "runner = bp.DSRunner(model, monitors=['V', 'w'], inputs=['Iext', 0.8])\n", "runner.run(100.)\n", "\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.V, legend='V')\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.w, legend='w', show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -495,13 +615,13 @@ "start_time": "2023-04-15T20:18:43.879544Z" } }, + "outputs": [], "source": [ "r1 = bm.arange(0.00, 0.95, 0.01)\n", "r2 = bm.arange(0.95, 1.01, 0.001)\n", "r3 = bm.arange(1.05, 1.50, 0.01)\n", "resolution = bm.concatenate([r1, r2, r3])" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -576,6 +696,40 @@ }, "scrolled": false }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am making bifurcation analysis ...\n", + "I am filtering out fixed point candidates with auxiliary function ...\n", + "I am trying to find fixed points by optimization ...\n", + "\tThere are 5000 candidates\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 500 fixed points.\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "analyzer = bp.analysis.Bifurcation2D(\n", " model,\n", @@ -590,8 +744,7 @@ "\n", "# show figure\n", "analyzer.show_figure()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -616,6 +769,40 @@ "start_time": "2023-04-15T20:18:50.834603Z" } }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am making bifurcation analysis ...\n", + "I am filtering out fixed point candidates with auxiliary function ...\n", + "I am trying to find fixed points by optimization ...\n", + "\tThere are 50000 candidates\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 4997 fixed points.\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "analyzer = bp.analysis.Bifurcation2D(\n", " model,\n", @@ -625,8 +812,7 @@ ")\n", "analyzer.plot_bifurcation(num_rank=10, tol_aux=1e-9)\n", "analyzer.show_figure()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -669,6 +855,7 @@ "start_time": "2023-04-15T20:19:40.359493Z" } }, + "outputs": [], "source": [ "a = 1.\n", "b = 3.\n", @@ -691,8 +878,7 @@ "@bp.odeint\n", "def int_z(z, t, x):\n", " return r * (s * (x - x_r) - z)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -711,6 +897,40 @@ }, "scrolled": false }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "I am making bifurcation analysis ...\n", + "I am filtering out fixed point candidates with auxiliary function ...\n", + "I am trying to find fixed points by optimization ...\n", + "\tThere are 20000 candidates\n", + "I am trying to filter out duplicate fixed points ...\n", + "\tFound 1156 fixed points.\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "analyzer = bp.analysis.FastSlow2D(\n", " [int_x, int_y, int_z],\n", @@ -721,8 +941,7 @@ ")\n", "analyzer.plot_bifurcation(num_rank=20)\n", "analyzer.show_figure()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", diff --git a/docs/tutorial_building/build_conductance_neurons_v2.ipynb b/docs/tutorial_building/build_conductance_neurons_v2.ipynb index bb85c2f2c..8b350dc88 100644 --- a/docs/tutorial_building/build_conductance_neurons_v2.ipynb +++ b/docs/tutorial_building/build_conductance_neurons_v2.ipynb @@ -46,13 +46,13 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "import numpy as np\n", "\n", "import brainpy as bp\n", "import brainpy.math as bm" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -144,6 +144,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class IK(bp.dyn.IonChannel):\n", " master_type = bp.dyn.CondNeuGroup\n", @@ -153,8 +154,7 @@ "\n", " def reset_state(self, V, *args, **kwargs):\n", " pass" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -194,6 +194,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class ICa(bp.dyn.IonChannel):\n", " master_type = bp.dyn.Calcium\n", @@ -203,8 +204,7 @@ "\n", " def reset_state(self, V, C, E, *args, **kwargs):\n", " pass" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -244,6 +244,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class ICaNa(bp.dyn.IonChannel):\n", " master_type = bp.mixin.JointType[bp.dyn.Calcium, bp.dyn.Sodium]\n", @@ -253,8 +254,7 @@ "\n", " def reset_state(self, V, Ca_info, Na_info, *args, **kwargs):\n", " pass" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -314,10 +314,21 @@ "tags": [], "trusted": true }, + "outputs": [ + { + "data": { + "text/plain": [ + "brainpy._src.dyn.ions.sodium.Sodium" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bp.dyn.INa_Ba2002v2.master_type" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -337,10 +348,21 @@ "tags": [], "trusted": true }, + "outputs": [ + { + "data": { + "text/plain": [ + "brainpy._src.dyn.neurons.hh.HHTypedNeuron" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bp.dyn.INa_Ba2002.master_type" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -405,6 +427,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class HH(bp.dyn.CondNeuGroupLTC):\n", " def __init__(self, size):\n", @@ -413,8 +436,7 @@ " self.INa = bp.dyn.INa_HH1952(size)\n", " self.IK = bp.dyn.IK_HH1952(size)\n", " self.IL = bp.dyn.IL(size, E=-54.387, g_max=0.03)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -447,6 +469,22 @@ "tags": [], "trusted": true }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "76680cde1c2a4c97ad61834039a3fad9", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "bp.visualize.line_plot(runner.mon.ts, runner.mon['na-p'], legend='Na-p')\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon['na-q'], legend='Na-q')\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon['k-p'], legend='K-p', show=True)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -500,10 +548,21 @@ "tags": [], "trusted": true }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "bp.visualize.line_plot(runner.mon.ts, runner.mon['v'], show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -625,6 +684,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class IK(bp.dyn.IonChannel):\n", " master_type = bp.dyn.HHTypedNeuron\n", @@ -652,8 +712,7 @@ "\n", " def current(self, V):\n", " return self.g_max * self.n ** 4 * (self.E - V)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -718,6 +777,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class INa(bp.dyn.IonChannel):\n", " master_type = bp.dyn.HHTypedNeuron\n", @@ -750,8 +810,7 @@ "\n", " def current(self, V):\n", " return self.g_max * self.m ** 3 * self.h * (self.E - V)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -791,6 +850,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class IL(bp.dyn.IonChannel):\n", " master_type = bp.dyn.HHTypedNeuron\n", @@ -808,8 +868,7 @@ "\n", " def current(self, V):\n", " return self.g_max * (self.E - V)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -838,6 +897,7 @@ "tags": [], "trusted": true }, + "outputs": [], "source": [ "class HH(bp.dyn.CondNeuGroup):\n", " def __init__(self, size):\n", @@ -845,8 +905,7 @@ " self.IK = IK(size, E=-77., g_max=36.)\n", " self.INa = INa(size, E=50., g_max=120.)\n", " self.IL = IL(size, E=-54.39, g_max=0.03)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -866,6 +925,42 @@ "tags": [], "trusted": true }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9d4e8653c46b4c2d8fc30d40bcd8950d", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/2000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "neu = HH(1)\n", "neu.reset()\n", @@ -889,8 +984,7 @@ "plt.legend()\n", "\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -955,6 +1049,7 @@ }, "collapsed": false }, + "outputs": [], "source": [ "class HTC(bp.dyn.CondNeuGroupLTC):\n", " def __init__(self, size, gKL=0.01, V_initializer=bp.init.OneInit(-65.)):\n", @@ -975,8 +1070,7 @@ "\n", " self.KCa = bp.dyn.MixIons(self.K, self.Ca)\n", " self.KCa.add_elem(bp.dyn.IAHP_De1994v2(size))" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -988,6 +1082,32 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "ae355b0019ca4a4dadb943e276598822", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/20000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "htc = HTC(1)\n", "runner = bp.DSRunner(htc, monitors={'v': htc.V})\n", @@ -995,8 +1115,7 @@ "inputs = np.ones(20000) * I\n", "runner.run(inputs=inputs)\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon['v'], legend='v', show=True)" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_building/customize_dynamical_systems.ipynb b/docs/tutorial_building/customize_dynamical_systems.ipynb index 5420decca..ec19c06a7 100644 --- a/docs/tutorial_building/customize_dynamical_systems.ipynb +++ b/docs/tutorial_building/customize_dynamical_systems.ipynb @@ -35,6 +35,18 @@ "start_time": "2021-03-25T03:02:47.073698Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.3.0'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", @@ -42,8 +54,7 @@ "bm.set_platform('cpu')\n", "\n", "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -98,6 +109,7 @@ "cell_type": "code", "execution_count": 2, "metadata": {}, + "outputs": [], "source": [ "class FitzHughNagumoModel(bp.DynamicalSystem):\n", " def __init__(self, a=0.8, b=0.7, tau=12.5, **kwargs):\n", @@ -122,8 +134,7 @@ " self.w += (self.v + self.a - self.b * self.w) / self.tau * dt\n", " self.v += (self.v - self.v ** 3 / 3 - self.w + self.I) * dt\n", " self.I[:] = 0." - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -180,19 +191,30 @@ "metadata": { "collapsed": false }, + "outputs": [], "source": [ "fhn = FitzHughNagumoModel()" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'FitzHughNagumoModel0'" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "fhn.name # name for \"fhn\" instance" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -205,11 +227,21 @@ "cell_type": "code", "execution_count": 5, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "FitzHughNagumoModel1\n", + "FitzHughNagumoModel2\n", + "FitzHughNagumoModel3\n" + ] + } + ], "source": [ "for _ in range(3):\n", " print(FitzHughNagumoModel().name)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -222,17 +254,42 @@ "cell_type": "code", "execution_count": 6, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'X'" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "fhn2 = FitzHughNagumoModel(name='X')\n", "\n", "fhn2.name" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "In BrainPy, each object should have a unique name. However, we detect that FitzHughNagumoModel(name=None, mode=NormalMode) has a used name \"X\". \n", + "If you try to run multiple trials, you may need \n", + "\n", + ">>> brainpy.base.clear_name_cache() \n", + "\n", + "to clear all cached names. \n" + ] + } + ], "source": [ "# same name will cause error\n", "\n", @@ -240,8 +297,7 @@ " FitzHughNagumoModel(name='X')\n", "except bp.errors.UniqueNameError as e:\n", " print(e)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -254,13 +310,26 @@ "cell_type": "code", "execution_count": 8, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'X.I': Variable([0.], dtype=float32),\n", + " 'X.v': Variable([0.], dtype=float32),\n", + " 'X.w': Variable([0.], dtype=float32)}" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# All variables can be acessed by \n", "# 1). the absolute path\n", "\n", "fhn2.vars()" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -268,12 +337,25 @@ "metadata": { "scrolled": true }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'I': Variable([0.], dtype=float32),\n", + " 'v': Variable([0.], dtype=float32),\n", + " 'w': Variable([0.], dtype=float32)}" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# 2). or, the relative path\n", "\n", "fhn2.vars(method='relative')" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -287,14 +369,41 @@ "cell_type": "code", "execution_count": 10, "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "98fcf6daf77f41bc953e6cf6b1dbb6b6", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "runner = bp.dyn.DSRunner(fhn2, monitors=['v', 'w'], inputs=('I', 1.5))\n", "runner(duration=100)\n", "\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.v, legend='v', show=False)\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.w, legend='w', show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -318,14 +427,41 @@ "metadata": { "scrolled": true }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "a213eca4fd0f4622928d13088c8ab48b", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "runner = bp.dyn.DSRunner(fhn2, monitors=['v', 'w'], inputs=('I', 1.5), jit=True)\n", "runner(duration=100)\n", "\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.v, legend='v', show=False)\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.w, legend='w', show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -346,43 +482,88 @@ "cell_type": "code", "execution_count": 12, "metadata": {}, + "outputs": [], "source": [ "fhn_net = bp.dyn.Network(f1=fhn, f2=fhn2)" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'FitzHughNagumoModel0.I': Variable([0.], dtype=float32),\n", + " 'FitzHughNagumoModel0.v': Variable([0.], dtype=float32),\n", + " 'FitzHughNagumoModel0.w': Variable([0.], dtype=float32),\n", + " 'X.I': Variable([0.], dtype=float32),\n", + " 'X.v': Variable([1.492591], dtype=float32),\n", + " 'X.w': Variable([1.9365357], dtype=float32)}" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# absolute access of variables\n", "\n", "fhn_net.vars()" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'f1.I': Variable([0.], dtype=float32),\n", + " 'f1.v': Variable([0.], dtype=float32),\n", + " 'f1.w': Variable([0.], dtype=float32),\n", + " 'f2.I': Variable([0.], dtype=float32),\n", + " 'f2.v': Variable([1.492591], dtype=float32),\n", + " 'f2.w': Variable([1.9365357], dtype=float32)}" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# relative access of variables\n", "\n", "fhn_net.vars(method='relative')" - ], - "outputs": [] + ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'Network0': Network(f1=FitzHughNagumoModel(name=FitzHughNagumoModel0, mode=NormalMode), f2=FitzHughNagumoModel(name=X, mode=NormalMode)),\n", + " 'FitzHughNagumoModel0': FitzHughNagumoModel(name=FitzHughNagumoModel0, mode=NormalMode),\n", + " 'X': FitzHughNagumoModel(name=X, mode=NormalMode)}" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# absolute access of nodes\n", "\n", "fhn_net.nodes()" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -390,12 +571,25 @@ "metadata": { "scrolled": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'': Network(f1=FitzHughNagumoModel(name=FitzHughNagumoModel0, mode=NormalMode), f2=FitzHughNagumoModel(name=X, mode=NormalMode)),\n", + " 'f1': FitzHughNagumoModel(name=FitzHughNagumoModel0, mode=NormalMode),\n", + " 'f2': FitzHughNagumoModel(name=X, mode=NormalMode)}" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# relative access of nodes\n", "\n", "fhn_net.nodes(method='relative')" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -403,6 +597,34 @@ "metadata": { "scrolled": true }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "6f347e43fa11400793a54a26de1fbd87", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "runner = bp.dyn.DSRunner(fhn_net,\n", " monitors=['f1.v', 'X.v'], \n", @@ -412,8 +634,7 @@ "\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon['f1.v'], legend='fhn1.v', show=False)\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon['X.v'], legend='fhn2.v', show=True)" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_building/customize_neuron_models.ipynb b/docs/tutorial_building/customize_neuron_models.ipynb index 1216129a5..0e8ff9784 100644 --- a/docs/tutorial_building/customize_neuron_models.ipynb +++ b/docs/tutorial_building/customize_neuron_models.ipynb @@ -37,6 +37,7 @@ "start_time": "2023-09-16T14:58:34.188798300Z" } }, + "outputs": [], "source": [ "import numpy as np\n", "\n", @@ -44,8 +45,7 @@ "import brainpy.math as bm\n", "\n", "bm.set_platform('cpu')" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -58,10 +58,21 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.4.4.post4'" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -163,6 +174,7 @@ "start_time": "2023-09-16T14:58:34.208778200Z" } }, + "outputs": [], "source": [ "class HH(bp.dyn.NeuDyn):\n", " def __init__(self, size, ENa=50., gNa=120., EK=-77., gK=36., EL=-54.387, gL=0.03,\n", @@ -236,8 +248,7 @@ "\n", " # update V\n", " self.V.value = V" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -326,6 +337,7 @@ "start_time": "2023-09-16T14:58:34.212306500Z" } }, + "outputs": [], "source": [ "class LIF(bp.dyn.NeuDyn):\n", " def __init__(self, size, V_rest=0., V_reset=-5., V_th=20., R=1., tau=10., t_ref=5., **kwargs):\n", @@ -378,8 +390,7 @@ " \n", " # update the refractory state\n", " self.refractory.value = bm.logical_or(refractory, spike)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -415,10 +426,10 @@ "start_time": "2023-09-16T14:58:34.216394900Z" } }, + "outputs": [], "source": [ "neu = HH(10)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -446,10 +457,10 @@ "start_time": "2023-09-16T14:58:34.224884500Z" } }, + "outputs": [], "source": [ "runner = bp.DSRunner(neu, monitors=['V'])" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -472,10 +483,10 @@ }, "collapsed": false }, + "outputs": [], "source": [ "inputs = np.ones(int(200. / bm.get_dt())) * 6. # 200 ms" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -495,12 +506,37 @@ "start_time": "2023-09-16T14:58:34.236782300Z" } }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "60e0a2eecff045c8ad78a51ceb80e39f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/2000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "runner.run(inputs=inputs) # the running time is 200 ms\n", "\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.V, show=True)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -520,6 +556,32 @@ "start_time": "2023-09-16T14:58:34.536322600Z" } }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0a9931a8203a47329d1d019e3ff0702d", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/2000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "group = LIF(10)\n", "\n", @@ -529,8 +591,7 @@ "runner.run(inputs=inputs)\n", "\n", "bp.visualize.line_plot(runner.mon.ts, runner.mon.V, show=True)" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/docs/tutorial_toolbox/ode_numerical_solvers.ipynb b/docs/tutorial_toolbox/ode_numerical_solvers.ipynb index e0caa50d7..879344f98 100644 --- a/docs/tutorial_toolbox/ode_numerical_solvers.ipynb +++ b/docs/tutorial_toolbox/ode_numerical_solvers.ipynb @@ -40,6 +40,18 @@ "start_time": "2023-08-25T13:19:09.655691600Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2.4.3.post4'" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import brainpy as bp\n", "import brainpy.math as bm\n", @@ -48,8 +60,7 @@ "bm.set_platform('cpu')\n", "\n", "bp.__version__" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -84,13 +95,13 @@ "start_time": "2023-08-25T13:19:09.698214500Z" } }, + "outputs": [], "source": [ "def diff(x, y, t, p1, p2):\n", " dx = f1(x, t, y, p1)\n", " dy = g1(y, t, x, p2)\n", " return dx, dy" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -112,14 +123,14 @@ "start_time": "2023-08-25T13:19:09.726503200Z" } }, + "outputs": [], "source": [ "def diff(xy, t, p1, p2):\n", " x, y = xy\n", " dx = f1(x, t, y, p1)\n", " dy = g1(y, t, x, p2)\n", " return bm.array([dx, dy])" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -147,14 +158,14 @@ "start_time": "2023-08-25T13:19:09.755789200Z" } }, + "outputs": [], "source": [ "@bp.odeint\n", "def diff(x, y, t, p1, p2):\n", " dx = f1(x, t, y, p1)\n", " dy = g1(y, t, x, p2)\n", " return dx, dy" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -174,10 +185,21 @@ "start_time": "2023-08-25T13:19:09.777583900Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "isinstance(diff, bp.ode.ODEIntegrator)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -204,10 +226,21 @@ "start_time": "2023-08-25T13:19:09.809324900Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "diff" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -227,10 +260,21 @@ "start_time": "2023-08-25T13:19:09.840654Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.1" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "diff.dt" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -250,6 +294,31 @@ "start_time": "2023-08-25T13:19:09.860150700Z" } }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "def brainpy_itg_of_ode8_diff(x, y, t, p1, p2, dt=0.01):\n", + " dx_k1, dy_k1 = f(x, y, t, p1, p2)\n", + " x_new = x + dx_k1 * dt * 1\n", + " y_new = y + dy_k1 * dt * 1\n", + " return x_new, y_new\n", + "\n", + "{'f': }\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "@bp.odeint(method='euler', show_code=True, dt=0.01)\n", "def diff(x, y, t, p1, p2):\n", @@ -258,8 +327,7 @@ " return dx, dy\n", "\n", "diff" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -271,6 +339,43 @@ "start_time": "2023-08-25T13:19:09.873917100Z" } }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "def brainpy_itg_of_ode9_diff(x, y, t, p1, p2, dt=0.1):\n", + " dx_k1, dy_k1 = f(x, y, t, p1, p2)\n", + " k2_x_arg = x + dt * dx_k1 * 0.5\n", + " k2_y_arg = y + dt * dy_k1 * 0.5\n", + " k2_t_arg = t + dt * 0.5\n", + " dx_k2, dy_k2 = f(k2_x_arg, k2_y_arg, k2_t_arg, p1, p2)\n", + " k3_x_arg = x + dt * dx_k2 * 0.5\n", + " k3_y_arg = y + dt * dy_k2 * 0.5\n", + " k3_t_arg = t + dt * 0.5\n", + " dx_k3, dy_k3 = f(k3_x_arg, k3_y_arg, k3_t_arg, p1, p2)\n", + " k4_x_arg = x + dt * dx_k3\n", + " k4_y_arg = y + dt * dy_k3\n", + " k4_t_arg = t + dt\n", + " dx_k4, dy_k4 = f(k4_x_arg, k4_y_arg, k4_t_arg, p1, p2)\n", + " x_new = x + dx_k1 * dt * 1/6 + dx_k2 * dt * 1/3 + dx_k3 * dt * 1/3 + dx_k4 * dt * 1/6\n", + " y_new = y + dy_k1 * dt * 1/6 + dy_k2 * dt * 1/3 + dy_k3 * dt * 1/3 + dy_k4 * dt * 1/6\n", + " return x_new, y_new\n", + "\n", + "{'f': }\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "@bp.odeint(method='rk4', show_code=True, dt=0.1)\n", "def diff(x, y, t, p1, p2):\n", @@ -279,8 +384,7 @@ " return dx, dy\n", "\n", "diff" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -325,14 +429,14 @@ "start_time": "2023-08-25T13:19:09.888593200Z" } }, + "outputs": [], "source": [ "@bp.odeint(dt=0.01)\n", "def integral(V, w, t, Iext, a, b, tau):\n", " dw = (V + a - b * w) / tau\n", " dV = V - V * V * V / 3 - w + Iext\n", " return dV, dw" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -352,10 +456,10 @@ "start_time": "2023-08-25T13:19:09.923484100Z" } }, + "outputs": [], "source": [ "a = 0.7; b = 0.8; tau = 12.5; Iext = 1." - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -375,6 +479,18 @@ "start_time": "2023-08-25T13:19:09.966098900Z" } }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "jit_integral = bm.jit(integral)\n", "\n", @@ -387,8 +503,7 @@ "\n", "plt.plot(hist_times, hist_V)\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -411,6 +526,32 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "a722255d3d6e47c8a3a88f91beaaae3b", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/10000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "runner = bp.IntegratorRunner(\n", " integral,\n", @@ -422,8 +563,7 @@ "\n", "plt.plot(runner.mon.ts, runner.mon.V)\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -462,6 +602,7 @@ "start_time": "2023-08-25T13:19:13.397747Z" } }, + "outputs": [], "source": [ "@bp.odeint(method='rk4', dt=0.01)\n", "def integral(V, m, h, n, t, Iext, gNa, ENa, gK, EK, gL, EL, C):\n", @@ -483,8 +624,7 @@ " dVdt = (- I_Na - I_K - I_leak + Iext) / C\n", "\n", " return dVdt, dmdt, dhdt, dndt" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -504,11 +644,11 @@ "start_time": "2023-08-25T13:19:13.404333900Z" } }, + "outputs": [], "source": [ "Iext = 10.; ENa = 50.; EK = -77.; EL = -54.387\n", "C = 1.0; gNa = 120.; gK = 36.; gL = 0.03" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -521,6 +661,32 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "2a4d103ee8a74c6193716f3158927188", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/10000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "runner = bp.IntegratorRunner(\n", " integral,\n", @@ -539,8 +705,7 @@ "plt.plot(runner.mon.ts, runner.mon.n, label='n')\n", "plt.legend()\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -613,6 +778,18 @@ "start_time": "2023-08-25T13:19:14.335793300Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "@bp.odeint(method='rk4')\n", "def int_v(v, t, p):\n", @@ -620,8 +797,7 @@ " return v\n", "\n", "int_v" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -641,6 +817,18 @@ "start_time": "2023-08-25T13:19:14.351618600Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "@bp.ode.RK4\n", "def int_v(v, t, p):\n", @@ -648,8 +836,7 @@ " return v\n", "\n", "int_v" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -661,6 +848,18 @@ "start_time": "2023-08-25T13:19:14.379189200Z" } }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "def derivative(v, t, p):\n", " # do something\n", @@ -668,8 +867,7 @@ "\n", "int_v = bp.ode.RK4(derivative, dt=0.01)\n", "int_v" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -720,6 +918,7 @@ "start_time": "2023-08-25T13:19:14.399312700Z" } }, + "outputs": [], "source": [ "# adaptively adjust step-size\n", "\n", @@ -732,8 +931,7 @@ " dy = x * (rho - z) - y\n", " dz = x * y - beta * z\n", " return dx, dy, dz" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -745,6 +943,7 @@ "start_time": "2023-08-25T13:19:14.418808500Z" } }, + "outputs": [], "source": [ "times = bm.arange(0, 100, 0.01)\n", "hist_x, hist_y, hist_z, hist_dt = [], [], [], []\n", @@ -760,8 +959,7 @@ "hist_y = bm.array(hist_y).flatten()\n", "hist_z = bm.array(hist_z).flatten()\n", "hist_dt = bm.array(hist_dt)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -774,6 +972,28 @@ }, "scrolled": false }, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = plt.subplot(projection='3d')\n", @@ -787,8 +1007,7 @@ "plt.xlabel('Step No.')\n", "plt.ylabel('Adaptive dt')\n", "plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -871,11 +1090,11 @@ "start_time": "2023-08-25T13:19:25.594604800Z" } }, + "outputs": [], "source": [ "Iext=10.; ENa=50.; EK=-77.; EL=-54.387\n", "C=1.0; gNa=120.; gK=36.; gL=0.03" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -888,14 +1107,14 @@ }, "collapsed": false }, + "outputs": [], "source": [ "def dm(m, t, V):\n", " alpha = 0.1 * (V + 40) / (1 - bm.exp(-(V + 40) / 10))\n", " beta = 4.0 * bm.exp(-(V + 65) / 18)\n", " dmdt = alpha * (1 - m) - beta * m\n", " return dmdt" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -908,14 +1127,14 @@ }, "collapsed": false }, + "outputs": [], "source": [ "def dh(h, t, V):\n", " alpha = 0.07 * bm.exp(-(V + 65) / 20.)\n", " beta = 1 / (1 + bm.exp(-(V + 35) / 10))\n", " dhdt = alpha * (1 - h) - beta * h\n", " return dhdt" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -928,14 +1147,14 @@ }, "collapsed": false }, + "outputs": [], "source": [ "def dn(n, t, V):\n", " alpha = 0.01 * (V + 55) / (1 - bm.exp(-(V + 55) / 10))\n", " beta = 0.125 * bm.exp(-(V + 65) / 80)\n", " dndt = alpha * (1 - n) - beta * n\n", " return dndt" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -947,6 +1166,7 @@ "start_time": "2023-08-25T13:19:25.672929300Z" } }, + "outputs": [], "source": [ "def dV(V, t, m, h, n, Iext):\n", " I_Na = (gNa * m ** 3.0 * h) * (V - ENa)\n", @@ -954,8 +1174,7 @@ " I_leak = gL * (V - EL)\n", " dVdt = (- I_Na - I_K - I_leak + Iext) / C\n", " return dVdt" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -978,10 +1197,10 @@ }, "collapsed": false }, + "outputs": [], "source": [ "hh_derivative = bp.JointEq([dV, dm, dh, dn])" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -993,6 +1212,7 @@ "start_time": "2023-08-25T13:19:25.704195300Z" } }, + "outputs": [], "source": [ "def run(method, Iext=10., dt=0.1):\n", " integral = bp.odeint(hh_derivative, method=method)\n", @@ -1015,8 +1235,7 @@ " plt.plot(runner.mon.ts, runner.mon.n, label='n')\n", " plt.legend()\n", " plt.show()" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -1036,10 +1255,35 @@ "start_time": "2023-08-25T13:19:25.719824100Z" } }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1a01a7ff89784d63ac8ad7e191354ef1", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/5000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "run('euler', Iext=10, dt=0.02)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -1051,10 +1295,35 @@ "start_time": "2023-08-25T13:19:26.203677900Z" } }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "d1fb3401c2614ebca4495675efbb222f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "run('euler', Iext=10, dt=0.1)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -1074,10 +1343,35 @@ "start_time": "2023-08-25T13:19:26.610149400Z" } }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1ae6c326778746c38c142face6bed171", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/1000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "run('rk4', Iext=10, dt=0.1)" - ], - "outputs": [] + ] }, { "cell_type": "code", @@ -1089,10 +1383,35 @@ "start_time": "2023-08-25T13:19:27.362781400Z" } }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "936143f7f7404014b6152df26586c56e", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/500 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "run('rk4', Iext=10, dt=0.2)" - ], - "outputs": [] + ] }, { "cell_type": "markdown", @@ -1113,10 +1432,35 @@ }, "collapsed": false }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0eba0244f6454931946a778da72a2431", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/500 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "run('exp_euler', Iext=10, dt=0.2)" - ], - "outputs": [] + ] } ], "metadata": { diff --git a/requirements-dev.txt b/requirements-dev.txt index e647209cb..98398ae2d 100644 --- a/requirements-dev.txt +++ b/requirements-dev.txt @@ -6,7 +6,7 @@ matplotlib msgpack tqdm pathos -taichi==1.7.0 +taichi numba