GClasses
GClasses::GBlockBentIdentity Class Reference

Detailed Description

Applies the Bent identity element-wise to the input.

Equation Plot

\[ f(x) = \frac{\sqrt{x^2+1}-1}{2}+x \]

Activation_bent_identity.png

#include <GBlock.h>

Inheritance diagram for GClasses::GBlockBentIdentity:
GClasses::GBlockActivation GClasses::GBlockWeightless GClasses::GBlock

Public Member Functions

 GBlockBentIdentity (size_t size=0)
 
 GBlockBentIdentity (GDomNode *pNode)
 
virtual double derivative (double x, double f_x) const override
 Evaluates the derivative of the activation function. x is the net input, and f_x is the output activation–the value obtained by calling eval(x). More...
 
virtual double eval (double x) const override
 Evaluates the activation function. More...
 
virtual std::string name () const override
 Returns the name of this block in the form of a string. More...
 
virtual BlockType type () const override
 Returns the type of this block. More...
 
- Public Member Functions inherited from GClasses::GBlockActivation
 GBlockActivation (size_t size=0)
 
 GBlockActivation (GDomNode *pNode)
 
virtual void backProp (GContext &ctx, const GVec &input, const GVec &output, const GVec &outBlame, GVec &inBlame) const override
 Evaluates outBlame, and adds to inBlame. (Note that it "adds to" the inBlame because multiple blocks may fork from a common source.) More...
 
virtual bool elementWise () const override
 Returns true iff this block operates only on individual elements. More...
 
virtual void forwardProp (GContext &ctx, const GVec &input, GVec &output) const override
 Evaluate the input, set the output. More...
 
virtual size_t inputs () const override
 Returns the number of inputs this block consumes. More...
 
virtual size_t outputs () const override
 Returns the number of outputs this block produces. More...
 
virtual void resize (size_t inputs, size_t outputs) override
 Resizes this block. More...
 
virtual GDomNodeserialize (GDom *pDoc) const override
 Marshall this block into a DOM. More...
 
- Public Member Functions inherited from GClasses::GBlockWeightless
 GBlockWeightless ()
 
 GBlockWeightless (GDomNode *pNode)
 
virtual ~GBlockWeightless ()
 
virtual void copyWeights (const GBlock *pSource) override
 Copy the weights from pSource to this block. (Assumes pSource is the same type of block.) More...
 
virtual void diminishWeights (double amount, bool regularizeBiases) override
 Moves all weights in the direction of zero by the specified amount. More...
 
virtual void maxNorm (double min, double max) override
 Scales weights if necessary such that the manitude of the weights (not including the bias) feeding into each unit are >= min and <= max. More...
 
virtual void perturbWeights (GRand &rand, double deviation) override
 Perturbs the weights that feed into the specifed units with Gaussian noise. The default values apply the perturbation to all units. More...
 
virtual void resetWeights (GRand &rand) override
 Initialize the weights, usually with small random values. More...
 
virtual void scaleWeights (double factor, bool scaleBiases) override
 Multiplies all the weights by the specified factor. More...
 
virtual void step (double learningRate, const GVec &gradient) override
 Add the weight and bias gradient to the weights. More...
 
virtual void updateGradient (GContext &ctx, const GVec &input, const GVec &outBlame, GVec &gradient) const override
 Evaluate the input and outBlame, update the gradient for updating the weights by gradient descent. More...
 
virtual size_t vectorToWeights (const double *pVector) override
 Deserialize from a vector to the weights in this block. Return the number of elements consumed. More...
 
virtual size_t weightCount () const override
 Returns the number of double-precision elements necessary to serialize the weights of this block into a vector. More...
 
virtual size_t weightsToVector (double *pOutVector) const override
 Serialize the weights in this block into a vector. Return the number of elements written. More...
 
- Public Member Functions inherited from GClasses::GBlock
 GBlock ()
 
 GBlock (GDomNode *pNode)
 
virtual ~GBlock ()
 
size_t inPos () const
 Returns the offset in the previous layer's output where values are fed as input to this block. More...
 
virtual bool isRecurrent () const
 Returns true iff this block is recurrent. More...
 
void setInPos (size_t n)
 Sets the starting offset in the previous layer's output where values will be fed as input to this block. More...
 
virtual std::string to_str () const
 Returns a string representation of this block. More...
 
virtual bool usesGPU ()
 Returns true iff this block does its computations in parallel on a GPU. More...
 

Additional Inherited Members

- Public Types inherited from GClasses::GBlock
- Static Public Member Functions inherited from GClasses::GBlock
static GBlockdeserialize (GDomNode *pNode)
 Unmarshalls the specified DOM node into a block object. More...
 
- Protected Member Functions inherited from GClasses::GBlock
GDomNodebaseDomNode (GDom *pDoc) const
 
void basicTest ()
 Exercises some basic functionality that all blocks have in common. More...
 
- Protected Attributes inherited from GClasses::GBlockActivation
size_t m_units
 
- Protected Attributes inherited from GClasses::GBlock
size_t m_inPos
 

Constructor & Destructor Documentation

GClasses::GBlockBentIdentity::GBlockBentIdentity ( size_t  size = 0)
inline
GClasses::GBlockBentIdentity::GBlockBentIdentity ( GDomNode pNode)
inline

Member Function Documentation

virtual double GClasses::GBlockBentIdentity::derivative ( double  x,
double  f_x 
) const
inlineoverridevirtual

Evaluates the derivative of the activation function. x is the net input, and f_x is the output activation–the value obtained by calling eval(x).

Implements GClasses::GBlockActivation.

virtual double GClasses::GBlockBentIdentity::eval ( double  x) const
inlineoverridevirtual

Evaluates the activation function.

Implements GClasses::GBlockActivation.

virtual std::string GClasses::GBlockBentIdentity::name ( ) const
inlineoverridevirtual

Returns the name of this block in the form of a string.

Implements GClasses::GBlock.

virtual BlockType GClasses::GBlockBentIdentity::type ( ) const
inlineoverridevirtual

Returns the type of this block.

Implements GClasses::GBlock.