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Node
Nodes are the key to neural networks. They provide the non-linearity in the output. A node can be created as follows:
var node = new Node();
Node properties:
Property | contains |
---|---|
bias | the bias when calculating state |
squash | activation function |
type | 'input', 'hidden' or 'output', should not be used manually |
activation | activation value |
connections | dictionary of in and out connections |
old | stores the previous activation |
state | stores the state (before being squashed) |
Actives the node. Calculates the state from all the input connections, adds the bias, and 'squashes' it.
var node = new Node();
node.activate(); // 0.4923128591923
After an activation, you can teach the node what should have been the correct output (a.k.a. train). This is done by backpropagating the error. To use the propagate method you have to provide a learning rate, and a target value (float between 0 and 1).
For example, this is how you can train node B to activate 0 when node A activates 1:
var A = new Node();
var B = new Node();
A.connect(B);
var learningRate = .3;
for(var i = 0; i < 20000; i++)
{
// when A activates 1
A.activate(1);
// train B to activate 0
B.activate();
B.propagate(learningRate, 0);
}
// test it
A.activate(1);
B.activate(); // 0.006540565760853365
A node can project a connection to another node or group (i.e. connect node A with node B). Here is how it's done:
var A = new Node();
var B = new Node();
A.connect(B); // A now projects a connection to B
// But you can also connect nodes to groups
var C = new Group(4);
B.connect(C); // B now projects a connection to all nodes in C
A neuron can also connect to itself, creating a selfconnection:
var A = new Node();
A.connect(A); // A now connects to itself
Removes the projected connection from this node to the given node.
var A = new Node();
var B = new Node();
A.connect(B); // A now projects a connection to B
A.disconnect(B); // no connection between A and B anymore
If the nodes project a connection to each other, you can also disconnect both connections at once:
var A = new Node();
var B = new Node();
A.connect(B); // A now projects a connection to B
B.connect(A); // B now projects a connection to A
// A.disconnect(B) only disconnects A to B, so use
A.disconnect(B, true); // or B.disconnect(A, true)
Neurons can gate connections. This means that the activation value of a neuron has influence on the value transported through a connection. You can either give an array of connections or just a connection as an argument.
var A = new Node();
var B = new Node();
var C = new Node();
var connections = A.connect(B);
// Now gate the connection(s)
C.gate(connections);
Now the weight of the connection from A to B will always be multiplied by the activation of node C.
You can also remove a gate from a connection.
var A = new Node();
var B = new Node();
var C = new Node();
var connections = A.connect(B);
// Now gate the connection(s)
C.gate(connections);
// Now ungate those connections
C.ungate(connections);
Checks if the node is projecting a connection to another neuron.
var A = new Node();
var B = new Node();
var C = new Node();
A.connect(B);
B.connect(C);
A.isProjectingTo(B); // true
A.isProjectingTo(C); // false
Checks if the node is projected by another node.
var A = new Node();
var B = new Node();
var C = new Node();
A.connect(B);
B.connect(C);
A.isProjectedBy(C); // false
B.isProjectedBy(A); // true
Nodes can be stored as JSON's and then restored back:
var exported = myNode.toJSON();
var imported = Network.fromJSON(exported);
imported will be a new instance of Node that is an exact clone of myNode.