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gnn_prototype : Prototypes.
[Atomic Nodes.]

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Detailed Description

The gnn_prototype : Prototypes. datatype implements a set of prototypes in , which are compared against the input vectors. The function computed by this node is:

where is the -th prototype. In other words, the outputs measure the euclidian distance to each one of the prototypes.

The function's gradients are:

and

The prototypes are very effective in cojunction with a kernel function, like gnn_gaussian : Gaussian Kernel Activation Function., thus forming a Kernel Model.

Typedefs
typedef _gnn_prototype	gnn_prototype
	The structure for a gnn_prototype : Prototypes. node.
Functions
int	gnn_prototype_f (gnn_node *node, const gsl_vector *x, const gsl_vector *w, gsl_vector *y)
	Computes the output.
int	gnn_prototype_dx (gnn_node *node, const gsl_vector *x, const gsl_vector *w, const gsl_vector *dy, gsl_vector *dx)
	Computes .
int	gnn_prototype_dw (gnn_node *node, const gsl_vector *x, const gsl_vector *w, const gsl_vector *dy, gsl_vector *dw)
	Computes .
void	gnn_prototype_destroy (gnn_node *node)
	The gnn_prototype : Prototypes. destroy function.
gnn_node *	gnn_prototype_new (size_t input_size, size_t output_size, double min, double max)
	Creates a Prototype node.
gnn_node *	gnn_prototype_standard_new (size_t input_size, size_t output_size)
	Creates a standard Prototype node.
int	gnn_prototype_vector_freeze (gnn_node *node, size_t j)
	Freeze a prototype.
int	gnn_prototype_vector_unfreeze (gnn_node *node, size_t j)
	Unfreeze a prototype.
int	gnn_prototype_vector_set (gnn_node *node, size_t j, const gsl_vector *v)
	Sets a prototype.
int	gnn_prototype_vector_get (gnn_node *node, size_t j, gsl_vector *v)
	Gets a prototype.

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Typedef Documentation

typedef struct _gnn_prototype gnn_prototype

This datatype holds the information for a gnn_prototype : Prototypes. node. Basically, it extends the gnn_node with special pointers to get fast accesses to the prototype matrix. Definition at line 49 of file gnn_prototype.h.

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Function Documentation

void gnn_prototype_destroy (  gnn_node *    node )  [static]

This functions is the gnn_prototype : Prototypes. destroy function. Parameters: node  A node to an gnn_prototype : Prototypes.. Definition at line 278 of file gnn_prototype.c.

int gnn_prototype_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 of the distance to the prototypes with respect to the prototypes' position. That is, Parameters: node  A pointer to a gnn_prototype : Prototypes. node. x  The input vector . w  The parameter vector . dy  The vector . dw  The output buffer vector . Returns: Returns 0 on success. Definition at line 227 of file gnn_prototype.c.

int gnn_prototype_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 of the distance to the prototypes with respect to the inputs. That is, Parameters: node  A pointer to a gnn_prototype : Prototypes. 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 166 of file gnn_prototype.c.

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

This functions evaluates the distance to the prototypes. Parameters: node  A pointer to a gnn_prototype : Prototypes. node. x  The input vector . w  The parameter vector . y  The output buffer vector . Returns: Returns 0 on success. Definition at line 108 of file gnn_prototype.c.

gnn_node* gnn_prototype_new (  size_t    input_size, size_t    output_size, double    min, double    max )

This function creates a node of the gnn_prototype : Prototypes. type. Each one of its vectors is drawn from a uniform distribution between [min; max). Parameters: input_size  The input size . output_size  The output size , and the number of prototypes. min  The minimum value of a component. max  The maximum value of a component. Returns: A pointer to a new gnn_prototype : Prototypes. node. Definition at line 317 of file gnn_prototype.c.

gnn_node* gnn_prototype_standard_new (  size_t    input_size, size_t    output_size )

This function creates a node of the gnn_prototype : Prototypes. type. Each one of its vectors is drawn from a uniform distribution between [-1; 1). Parameters: input_size  The input size . output_size  The output size , and the number of prototypes. Returns: A pointer to a new gnn_prototype : Prototypes. node. Definition at line 437 of file gnn_prototype.c.

int gnn_prototype_vector_freeze (  gnn_node *    node, size_t    j )

This function freezes the j-th prototype. Parameters: node  A pointer to a gnn_prototype : Prototypes. node. j  The index of the prototype to be frozen. Returns: Returns 0 if succeeded. Definition at line 453 of file gnn_prototype.c.

int gnn_prototype_vector_get (  gnn_node *    node, size_t    j, gsl_vector *    v )

This function gets the values of the j-th prototype and stores them into the given vector. Parameters: node  A pointer to a gnn_prototype : Prototypes. node. j  The index of the prototype to be frozen. v  A vector of the correct size, where the prototype's values should be copied in. Returns: Returns 0 if succeeded. Definition at line 589 of file gnn_prototype.c.

int gnn_prototype_vector_set (  gnn_node *    node, size_t    j, const gsl_vector *    v )

This function sets a new value for the j-th prototype. Parameters: node  A pointer to a gnn_prototype : Prototypes. node. j  The index of the prototype to be frozen. v  A new with the new values for the prototype. Returns: Returns 0 if succeeded. Definition at line 538 of file gnn_prototype.c.

int gnn_prototype_vector_unfreeze (  gnn_node *    node, size_t    j )

This function unfreezes the j-th prototype. Parameters: node  A pointer to a gnn_prototype : Prototypes. node. j  The index of the prototype to be unfrozen. Returns: Returns 0 if succeeded. Definition at line 495 of file gnn_prototype.c.

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