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LinearFunction Class

Linear activation function.
Inheritance Hierarchy
SystemObject
  Accord.NeuroLinearFunction

Namespace:  Accord.Neuro
Assembly:  Accord.Neuro (in Accord.Neuro.dll) Version: 3.5.0
Syntax
[SerializableAttribute]
public class LinearFunction : IActivationFunction
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The LinearFunction type exposes the following members.

Constructors
  NameDescription
Public methodLinearFunction
Initializes a new instance of the LinearFunction class.
Public methodLinearFunction(Double)
Initializes a new instance of the LinearFunction class.
Public methodLinearFunction(DoubleRange)
Initializes a new instance of the LinearFunction class.
Public methodLinearFunction(Double, DoubleRange)
Initializes a new instance of the LinearFunction class.
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Properties
  NameDescription
Public propertyAlpha
Linear slope value.
Public propertyRange
Function output range.
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Methods
  NameDescription
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 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.)
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 Matrix.)
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Remarks

This class implements a linear activation function bounded in the interval (a,b), as given by the piecewise formula:

f(x) = alpha*x, if a > x*alpha > b
f(x) = a,       if a > x*alpha;
f(x) = b,       if     x*alpha > b;

In which, by default, a = -1 and b = +1.

This function is continuous only in the interval (a/alpha, b/alpha). This is similar to the threshold function but with a linear growth component. If alpha is set to a very high value (such as infinity), the function behaves as a threshold function.

The output range of the function can be set to an arbitrary value. The default output range is [-1, +1].

See Also