diff --git a/Linear Discriminant Analysis.ipynb b/Linear Discriminant Analysis.ipynb index 5eae124..621ec0d 100644 --- a/Linear Discriminant Analysis.ipynb +++ b/Linear Discriminant Analysis.ipynb @@ -172,18 +172,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The height of the surface at any particular point represents the probability that both X1 and X2 fall in a small region around that point.\n", + "The height of the surface at any particular point represents the probability that both $X_1$ and $X_2$ fall in a small region around that point.\n", "\n", - " With this, we can define a joint loglikelihood function: \n", + "With a model for $P(x^i \\mid y^i)$, we can define a joint loglikelihood function: \n", " \n", - " $$l(\\phi,\\mu_o,\\mu_1,\\Sigma) = \\sum_{i=1}^m log (P(x \\mid y)) p(y)$$" + " $$l(\\phi,\\mu_o,\\mu_1,\\Sigma) = \\sum_{i=1}^m log (P(x^i \\mid y^i)) p(y^i)$$" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - }, { "cell_type": "heading", "level": 4, @@ -196,11 +191,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In CS229, we solved this analytically.\n", - "\n", - "We took the derivative of the likelihood function with respect to each and set equal to zero.\n", - "\n", - "This allowed us to derive formulas for the maximum likelihood estimates of each parameter." + "In CS229, we solved this analytically by taking the derivative of the likelihood function with respect to each, setting it equal to zero, and solving for the each parameter." ] }, { @@ -228,10 +219,76 @@ { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "from sklearn.datasets import make_blobs \n", + "X, y = make_blobs(n_samples=10000,n_features=2,centers=2) # Generate isotropic Gaussian blobs for clustering.\n", + "sns.jointplot(X[:,0], X[:,1], kind=\"hex\")" + ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 85, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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AuHx7DddePo1y0Qzta63Zw6nlDgSAaqmDHXNVlApG4DzhWG/28fzJBhgXMHWK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\n602CUSmuwR5Y8Zomp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+ "text": [ + "" + ] + } + ], + "prompt_number": 85 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.lda import LDA\n", + "clf = LDA()\n", + "\n", + "# Raw data\n", + "from matplotlib.colors import ListedColormap\n", + "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n", + "plt.scatter(X[:, 0],X[:, 1],c=y,cmap=cm_bright)\n", + "\n", + "# Train\n", + "clf.fit(X,y)\n", + "\n", + "# Meshgrid on which test classification\n", + "xx1, xx2 = np.meshgrid(np.linspace(X[:, 0].min(),X[:, 0].max(), 100), np.linspace(X[:, 1].min(),X[:, 1].max(), 100))\n", + "X_pred = np.c_[xx1.ravel(), xx2.ravel()] # convert 2d grid into seq of points\n", + "pred = clf.predict(X_pred)\n", + "Z = pred.reshape((100, 100)) # reshape seq to grid\n", + "plt.contourf(xx1,xx2,Z,cmap=plt.cm.RdBu,alpha=0.4)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 93, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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NjS0SO0DhwgLn+vs+mNxvAmwzM4v/NwHJXu8Hn/wlRYLcl8C12fuSgyFCoTDX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\n7LMSqlhT4+C3v3UwNb2TiPAO9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