svd.sql_in File Reference

Singular Value Decomposition. More...

Functions
void	svd (text source_table, text output_table_prefix, text row_id, integer k, integer n_iterations, text result_summary_table)
void	svd_block (text source_table, text output_table_prefix, integer k, integer n_iterations, text result_summary_table)
void	svd_block (text source_table, text output_table_prefix, integer k, integer n_iterations)
void	svd_block (text source_table, text output_table_prefix, integer k)
void	svd_sparse (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k, integer n_iterations, text result_summary_table)
void	svd_sparse_native (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k, integer n_iterations, text result_summary_table)
void	svd (text source_table, text output_table_prefix, text row_id, integer k)
void	svd_sparse (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k)
void	svd (text source_table, text output_table_prefix, text row_id, integer k, integer n_iterations)
void	svd_sparse (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k, integer n_iterations)
void	svd_sparse_native (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k)
void	svd_sparse_native (text source_table, text output_table_prefix, text row_id, text col_id, text val_id, integer row_dim, integer col_dim, integer k, integer n_iterations)
float8 []	__svd_unit_vector (int dim)
float8 []	__svd_lanczos_sfunc (float8[] state, int row_id, float8[] row_array, float8[] vector, int dimension)
float8 []	__svd_block_lanczos_sfunc (float8[] state, int4 row_id, int4 col_id, float8[] block, float8[] vector, int4 dimension)
float8 []	__svd_sparse_lanczos_sfunc (float8[] state, int4 row_id, int4 col_id, float8 val, float8[] vector, int4 dimension)
float8 []	__svd_lanczos_prefunc (float8[] state1, float8[] state2)
aggregate float8 []	__svd_lanczos_agg (int, float8[], float8[], int)
aggregate float8 []	__svd_block_lanczos_agg (int, int4, float8[], float8[], int)
aggregate float8 []	__svd_sparse_lanczos_agg (int4, int4, float8, float8[], int4)
__svd_lanczos_result	__svd_lanczos_pvec (float8[] vector, float8[] pvec, float8 beta)
float8 []	__svd_lanczos_qvec (float8[] vector, float8[] qvec, float8 alpha)
float8 []	__svd_gram_schmidt_orthogonalize_sfunc (float8[] state, float8[] vec_unorthogonalized, float8[] vec_orthogonalized)
float8 []	__svd_gram_schmidt_orthogonalize_prefunc (float8[] state1, float8[] state2)
__svd_lanczos_result	__svd_gram_schmidt_orthogonalize_ffunc (float8[] state)
aggregate float8 []	__svd_gram_schmidt_orthogonalize_agg (float8[], float8[])
void	__svd_lanczos_bidiagonalize (text source_table, text output_table_prefix, int n_iterations, int k, boolean is_block)
void	__svd_lanczos_bidiagonalize_sparse (text source_table, text row_id, text col_id, text val, text output_table_prefix, int n_iterations, int k)
__svd_bidiagonal_matrix_result	__svd_decompose_bidiag (int[] row_ids, int[] col_ids, float8[] vals)
float8 []	__svd_vec_mult_matrix (float8[] vector, float8[][] matrix, int4 k)
set< __svd_vec_mat_mult_result >	__svd_vec_trans_mult_matrix_internal (float8[] vector, float8[][] matrix, int4 col_id, int4 k)
void	__svd_vec_trans_mult_matrix (text vec_table, text mat_table, int4 k, boolean is_left, text res_table)
text	svd (text input_message)
text	svd ()

Detailed Description

See also

For a brief introduction to singular value decomposition, see the module description Singular Value Decomposition.

Function Documentation

__svd_block_lanczos_agg()

aggregate float8 [] __svd_block_lanczos_agg	(	int	,
		int4	,
		float8	[],
		float8	[],
		int
	)

__svd_block_lanczos_sfunc()

float8 [] __svd_block_lanczos_sfunc	(	float8 []	state,
		int4	row_id,
		int4	col_id,
		float8 []	block,
		float8 []	vector,
		int4	dimension
	)

__svd_decompose_bidiag()

__svd_bidiagonal_matrix_result __svd_decompose_bidiag	(	int []	row_ids,
		int []	col_ids,
		float8 []	vals
	)

__svd_gram_schmidt_orthogonalize_agg()

aggregate float8 [] __svd_gram_schmidt_orthogonalize_agg	(	float8	[],
		float8	[]
	)

__svd_gram_schmidt_orthogonalize_ffunc()

__svd_lanczos_result __svd_gram_schmidt_orthogonalize_ffunc

(

float8 []

state

)

__svd_gram_schmidt_orthogonalize_prefunc()

float8 [] __svd_gram_schmidt_orthogonalize_prefunc	(	float8 []	state1,
		float8 []	state2
	)

__svd_gram_schmidt_orthogonalize_sfunc()

float8 [] __svd_gram_schmidt_orthogonalize_sfunc	(	float8 []	state,
		float8 []	vec_unorthogonalized,
		float8 []	vec_orthogonalized
	)

__svd_lanczos_agg()

aggregate float8 [] __svd_lanczos_agg	(	int	,
		float8	[],
		float8	[],
		int
	)

__svd_lanczos_bidiagonalize()

void __svd_lanczos_bidiagonalize	(	text	source_table,
		text	output_table_prefix,
		int	n_iterations,
		int	k,
		boolean	is_block
	)

__svd_lanczos_bidiagonalize_sparse()

void __svd_lanczos_bidiagonalize_sparse	(	text	source_table,
		text	row_id,
		text	col_id,
		text	val,
		text	output_table_prefix,
		int	n_iterations,
		int	k
	)

__svd_lanczos_prefunc()

float8 [] __svd_lanczos_prefunc	(	float8 []	state1,
		float8 []	state2
	)

__svd_lanczos_pvec()

__svd_lanczos_result __svd_lanczos_pvec	(	float8 []	vector,
		float8 []	pvec,
		float8	beta
	)

__svd_lanczos_qvec()

float8 [] __svd_lanczos_qvec	(	float8 []	vector,
		float8 []	qvec,
		float8	alpha
	)

__svd_lanczos_sfunc()

float8 [] __svd_lanczos_sfunc	(	float8 []	state,
		int	row_id,
		float8 []	row_array,
		float8 []	vector,
		int	dimension
	)

__svd_sparse_lanczos_agg()

aggregate float8 [] __svd_sparse_lanczos_agg	(	int4	,
		int4	,
		float8	,
		float8	[],
		int4
	)

__svd_sparse_lanczos_sfunc()

float8 [] __svd_sparse_lanczos_sfunc	(	float8 []	state,
		int4	row_id,
		int4	col_id,
		float8	val,
		float8 []	vector,
		int4	dimension
	)

__svd_unit_vector()

float8 [] __svd_unit_vector

(

int

dim

)

__svd_vec_mult_matrix()

float8 [] __svd_vec_mult_matrix	(	float8 []	vector,
		float8	matrix[][],
		int4	k
	)

Multiplication of a row vector with an in-memory matrix vector: 1 x l matrix: l x l k: Sub-matrix of the size l x k

__svd_vec_trans_mult_matrix()

void __svd_vec_trans_mult_matrix	(	text	vec_table,
		text	mat_table,
		int4	k,
		boolean	is_left,
		text	res_table
	)

__svd_vec_trans_mult_matrix_internal()

set<__svd_vec_mat_mult_result> __svd_vec_trans_mult_matrix_internal	(	float8 []	vector,
		float8	matrix[][],
		int4	col_id,
		int4	k
	)

svd() [1/5]

void svd	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		integer	k,
		integer	n_iterations,
		text	result_summary_table
	)

svd() [2/5]

void svd	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		integer	k
	)

svd() [3/5]

void svd	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		integer	k,
		integer	n_iterations
	)

svd() [4/5]

text svd

(

text

input_message

)

svd() [5/5]

text svd

(

)

svd_block() [1/3]

void svd_block	(	text	source_table,
		text	output_table_prefix,
		integer	k,
		integer	n_iterations,
		text	result_summary_table
	)

svd_block() [2/3]

void svd_block	(	text	source_table,
		text	output_table_prefix,
		integer	k,
		integer	n_iterations
	)

svd_block() [3/3]

void svd_block	(	text	source_table,
		text	output_table_prefix,
		integer	k
	)

svd_sparse() [1/3]

void svd_sparse	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		text	col_id,
		text	val_id,
		integer	row_dim,
		integer	col_dim,
		integer	k,
		integer	n_iterations,
		text	result_summary_table
	)

svd_sparse() [2/3]

void svd_sparse	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		text	col_id,
		text	val_id,
		integer	row_dim,
		integer	col_dim,
		integer	k
	)

svd_sparse() [3/3]

void svd_sparse	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		text	col_id,
		text	val_id,
		integer	row_dim,
		integer	col_dim,
		integer	k,
		integer	n_iterations
	)

svd_sparse_native() [1/3]

void svd_sparse_native	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		text	col_id,
		text	val_id,
		integer	row_dim,
		integer	col_dim,
		integer	k,
		integer	n_iterations,
		text	result_summary_table
	)

svd_sparse_native() [2/3]

void svd_sparse_native	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		text	col_id,
		text	val_id,
		integer	row_dim,
		integer	col_dim,
		integer	k
	)

svd_sparse_native() [3/3]

void svd_sparse_native	(	text	source_table,
		text	output_table_prefix,
		text	row_id,
		text	col_id,
		text	val_id,
		integer	row_dim,
		integer	col_dim,
		integer	k,
		integer	n_iterations
	)