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BipolarSigmoidFunction Class

Bipolar sigmoid activation function.
Inheritance Hierarchy
SystemObject
  Accord.NeuroBipolarSigmoidFunction

Namespace:  Accord.Neuro
Assembly:  Accord.Neuro (in Accord.Neuro.dll) Version: 3.8.0
Syntax
[SerializableAttribute]
public class BipolarSigmoidFunction : IActivationFunction, 
	ICloneable
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The BipolarSigmoidFunction type exposes the following members.

Constructors
  NameDescription
Public methodBipolarSigmoidFunction
Initializes a new instance of the SigmoidFunction class.
Public methodBipolarSigmoidFunction(Double)
Initializes a new instance of the BipolarSigmoidFunction class.
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Properties
  NameDescription
Public propertyAlpha
Sigmoid's alpha value.
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Methods
  NameDescription
Public methodClone
Creates a new object that is a copy of the current instance.
Public methodDerivative
Calculates function derivative.
Public methodDerivative2
Calculates function derivative.
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Protected methodFinalize
Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object.)
Public methodFunction
Calculates function value.
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Protected methodMemberwiseClone
Creates a shallow copy of the current Object.
(Inherited from Object.)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
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Extension Methods
  NameDescription
Public Extension MethodHasMethod
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)
Public Extension MethodIsEqual
Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.
(Defined by Matrix.)
Public Extension MethodTo(Type)Overloaded.
Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)
Public Extension MethodToTOverloaded.
Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)
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Remarks

The class represents bipolar sigmoid activation function with the next expression:

               2
f(x) = ------------------ - 1
       1 + exp(-alpha * x)

          2 * alpha * exp(-alpha * x )
f'(x) = -------------------------------- = alpha * (1 - f(x)^2) / 2
          (1 + exp(-alpha * x))^2

Output range of the function: [-1, 1].

Functions graph:

See Also