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gnn_gaussian : Gaussian Kernel Activation Function.
[Atomic Nodes.]

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Detailed Description

This node type implements a Gaussian Kernel activation function given by:

where the index runs over all inputs / outputs, and

This function is a member of the more general class of kernel functions. They are intended to work in combination with a prototype node (gnn_prototype : Prototypes.).

The function's gradients are:

with respect to its inputs, and

with respect to its parameters.

Typedefs
typedef _gnn_gaussian	gnn_gaussian
	The structure for a gnn_gaussian : Gaussian Kernel Activation Function. node.
Functions
int	gnn_gaussian_f (gnn_node *node, const gsl_vector *x, const gsl_vector *w, gsl_vector *y)
	Computes the output.
int	gnn_gaussian_dx (gnn_node *node, const gsl_vector *x, const gsl_vector *w, const gsl_vector *dy, gsl_vector *dx)
	Computes .
int	gnn_gaussian_dw (gnn_node *node, const gsl_vector *x, const gsl_vector *w, const gsl_vector *dy, gsl_vector *dw)
	Computes .
void	gnn_gaussian_destroy (gnn_node *node)
	Computes the output.
gnn_node *	gnn_gaussian_new (int input_size, double a, double v)
	Creates a Gaussian Kernel Activation Function node.
gnn_node *	gnn_gaussian_standard_new (int input_size)
	Creates a standard Gaussian Kernel Activation Function node.

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Typedef Documentation

typedef struct _gnn_gaussian gnn_gaussian

This datatype holds the information for a gnn_gaussian : Gaussian Kernel Activation Function. node. Basically, it extends the gnn_node with special pointers to get fast accesses to the amplitudes and variances. Definition at line 48 of file gnn_gaussian.h.

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Function Documentation

void gnn_gaussian_destroy (  gnn_node *    node )  [static]

This is the destructor for a gnn_gaussian : Gaussian Kernel Activation Function. node. Parameters: node  A pointer to the gnn_gaussian : Gaussian Kernel Activation Function. node. Definition at line 263 of file gnn_gaussian.c.

int gnn_gaussian_dw (  gnn_node *    node, const gsl_vector *    x, const gsl_vector *    w, const gsl_vector *    dy, gsl_vector *    dw )  [static]

This functions computes the gradient with respect to the parameters of the Gaussian Kernel function. That is, it computes and . Parameters: node  A pointer to the gnn_gaussian : Gaussian Kernel Activation Function. node. x  The input vector . w  The parameter vector . dy  The vector . dx  The output buffer vector . Returns: Returns 0 on success. Definition at line 209 of file gnn_gaussian.c.

int gnn_gaussian_dx (  gnn_node *    node, const gsl_vector *    x, const gsl_vector *    w, const gsl_vector *    dy, gsl_vector *    dx )  [static]

This functions computes the gradient with respect to the inputs of the Gaussian Kernel function. Parameters: node  A pointer to the gnn_gaussian : Gaussian Kernel Activation Function. node. x  The input vector . w  The parameter vector . dy  The vector . dx  The output buffer vector . Returns: Returns 0 on success. Definition at line 153 of file gnn_gaussian.c.

int gnn_gaussian_f (  gnn_node *    node, const gsl_vector *    x, const gsl_vector *    w, gsl_vector *    y )  [static]

This functions evaluates the Gaussian Kernel activation function. Parameters: node  A pointer to the gnn_gaussian : Gaussian Kernel Activation Function. node. x  The input vector . w  The parameter vector . y  The output buffer vector . Returns: Returns 0 on success. Definition at line 103 of file gnn_gaussian.c.

gnn_node* gnn_gaussian_new (  int    input_size, double    a, double    v )

This function creates a node of the gnn_gaussian type. All kernels are initialized with the same amplitude and variance. Parameters: input_size  The input size . a  The (amplitude) factor. v  The variance . Returns: A pointer to a new gnn_divergence : Input Divergence. node. Definition at line 292 of file gnn_gaussian.c.

gnn_node* gnn_gaussian_standard_new (  int    input_size )

This function creates a node of the gnn_gaussian type. All kernels are initialized with amplitude and variance . Parameters: input_size  The input size . Returns: A pointer to a new gnn_tanh node. Definition at line 404 of file gnn_gaussian.c.

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