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US20150006597 
Optimized Trotterization via MultiResolution Analysis
Operators such as unitary operators common in quantum mechanical applications may be approximated by a Trotterlike approximation. An operator may be decomposed and terms of the operator may be... 

US20120011186 
METHOD FOR QUANTIFYING AND ANALYZING INTRINSIC PARALLELISM OF AN ALGORITHM
A method for quantifying and analyzing intrinsic parallelism of an algorithm is adapted to be implemented by a computer, and includes the steps of: configuring the computer to represent the... 

US20110270835 
COMPUTER INFORMATION RETRIEVAL USING LATENT SEMANTIC STRUCTURE VIA SKETCHES
A method, system and program product for computer information retrieval is disclosed. A matrix A is received. Random sign matrices S and R are generated. Matrix products of ŜT*A, A*R, and ŜT*A*R... 

US20140280426 
INFORMATION RETRIEVAL USING SPARSE MATRIX SKETCHING
Embodiments of the invention include method of approximating a matrix of data using sparse matrices which includes receiving a first matrix and generating a second matrix based on the first matrix... 

US20150088953 
METHODS, SYSTEMS AND COMPUTERREADABLE MEDIA FOR DISTRIBUTED PROBABILISTIC MATRIX FACTORIZATION
The present invention provides a method and system for distributed probabilistic matrix factorization. In accordance with a disclosed embodiment, the method may include partitioning a sparse... 

US20150106418 
METHOD AND SYSTEM FOR EFFICIENT DECOMPOSITION OF SINGLEQUBIT QUANTUM GATES INTO FIBONACCI ANYON BRAID CIRCUITS
Methods for compiling singlequbit quantum gates into braid representations for nonAbelian quasiparticles described by the Fibonacci anyon model are based on a probabilistically polynomial... 

US20150113032 
METHOD AND SYSTEM FOR QUANTIFYING BINARY WORDS SYMMETRY
The present invention provides an innovative method and system for quantifying the binary words symmetry. Information of all kinds is necessarily interpreted by binary words. Quantifying the... 

US20140289301 
MATRIX CALCULATION APPARATUS, MATRIX CALCULATION METHOD, AND COMPUTER READABLE MEDIUM HAVING MATRIX CALCULATION PROCESS PROGRAM STORED THEREON
There is provided a matrix calculation apparatus. The apparatus includes: a matrix calculation formula display controller configured to display a matrix calculation formula on a display unit,... 

US20110258190 
Spectral Neighborhood Blocking for Entity Resolution
A processing device of an information processing system is operative to obtain a plurality of records, documents, web pages or other data objects, and to construct a binary tree using a... 

US20140095569 
ORTHOGONAL CODE MATRIX GENERATION METHOD AND RELATED CIRCUIT THEREOF
An orthogonal code matrix generation method includes: establishing an N×N orthogonal code matrix, wherein an inner product of every two rows of the orthogonal code matrix is 0, and each column of... 

US20150199301 
METHOD AND DEVICE FOR OBTAINING THREEPHASE POWER FLOW OF POWER DISTRIBUTION NETWORK WITH UNGROUNDED TRANSFORMERS
A method for obtaining a threephase power flow of a power distribution network and a device for obtaining a threephase power flow of a power distribution network are provided. The method... 

US20130159373 
MATRIX STORAGE FOR SYSTEM IDENTIFICATION
A sparse matrix used in the leastsquares method is divided into small matrices in accordance with the number of elements of observation. An observation ID is assigned to each element of... 

US20090279694 
PRIVACYPRESERVING SCALAR PRODUCT CALCULATION SYSTEM, PRIVACYPRESERVING SCALAR PRODUCT CALCULATION METHOD AND CRYPTOGRAPHIC KEY SHARING SYSTEM
A privacypreserving scalar product calculation system is provided. A first unit linearly transforms an ndimensional vector Va into an ndimensional vector based on a scalar value based on a... 

US20090235049 
METHOD AND APPARATUS FOR QRFACTORIZING MATRIX ON A MULTIPROCESSOR SYSTEM
The present invention provides a method and apparatus for QRfactorizing matrix on a multiprocessor system, wherein the multiprocessor system comprises at least one core processor and a plurality... 

US20090006511 
POLYNOMIALBASIS TO NORMALBASIS TRANSFORMATION FOR BINARY GALOISFIELDS GF(2m)
Basis conversion from polynomialbasis form to normalbasis form is provided for both generic polynomials and special irreducible polynomials in the form of “all ones”, referred to as... 

US20130159372 
MATRIXBASED DYNAMIC PROGRAMMING
Embodiments relate to dynamic programming. An aspect includes representing a dynamic programming problem as a matrix of cells, each cell representing an intermediate score to be calculated.... 

US20140372495 
SINGULAR VALUE DECOMPOSITION OF COMPLEX MATRIX
Computerized singular value decomposition of an input complex matrix. A realvalue matrix representation of the input complex matrix is provided to a singular value decomposition module, which... 

US20150067012 
METHOD AND DATA PROCESSING DEVICE FOR RECONSTRUCTING A VECTOR
A method for reconstructing a first vector from a second vector includes: storing code for the row vectors according to a first code and a second code; correcting the row vectors of the second... 

US20120041905 
Supervised Nonnegative Matrix Factorization
Supervised nonnegative matrix factorization (SNMF) generates a descriptive partbased representation of data, based on the concept of nonnegative matrix factorization (NMF) aided by the... 

US20080071849 
Polynomial method for detecting a Hamiltonian circuit
An NPcomplete problem can be transformed in polynomial time into any known NP problem. The Hamiltonian circuit problem may be transformed into any other known NP problem (such as the Traveling... 

US20100306299 
Circuits and Methods for Performing Exponentiation and Inversion of Finite Field Elements
An exponentiation circuit for computing an exponential power of a finite field element includes combinatory logic circuits that map input digits of a multidigit field element P to output digits... 

US20090245505 
MULTIPLICATION CIRCUIT AND DE/ENCRYPTION CIRCUIT UTILIZING THE SAME
A multiplication circuit generates a product of a matrix and a first scalar when in matrix mode and a product of a second scalar and a third scalar when in scalar mode. The multiplication circuit... 

US20140149480 
SYSTEM, METHOD, AND COMPUTER PROGRAM PRODUCT FOR TRANSPOSING A MATRIX
A system, method, and computer program product are provided for transposing a matrix. In use, a matrix is identified. Additionally, the matrix is transposed utilizing rowwise operations and... 

US20090063607 
METHOD AND STRUCTURE FOR FAST INPLACE TRANSFORMATION OF STANDARD FULL AND PACKED MATRIX DATA FORMATS
A method and structure for an inplace transformation of matrix data. For a matrix A stored in one of a standard full format or a packed format and a transformation T having a compact... 

US20090006290 
TRAINING RANDOM WALKS OVER ABSORBING GRAPHS
A random walk is performed over a graph, such as an augmented bipartite graph, relating to ownership data with respect to a plurality of users and items owned; the graph can provide social links... 

US20090092246 
Calculation apparatus and encrypt and decrypt processing apparatus
A calculation apparatus capable of executing any of a first calculating process operation including a first matrix calculation, and a second calculating process operation including a second matrix... 

US20090157787 
ROWVECTOR NORM COMPARISON METHOD AND ROWVECTOR NORM COMPARISON APPARATUS FOR INVERSE MATRIX
Disclosed are a rowvector norm comparison method and a rowvector norm comparison apparatus for an inverse matrix. A rowvector norm comparison apparatus includes: an input matrix processing... 

US20100011045 
Device and method for applying signal weights to signals
Signal weights corresponding to an initial system of equations with a block coefficient matrix T0 can be obtained from the solution to a system of equations with a block coefficient matrix T. The... 

US20100318758 
EFFICIENT TRANSFER OF MATRICES FOR MATRIX BASED OPERATIONS
Techniques for transferring a matrix for performing one or more operations are provided. The techniques include applying a permutation on at least one of one or more columns and one or more rows... 

US20100082724 
Method For Solving Reservoir Simulation Matrix Equation Using Parallel MultiLevel Incomplete Factorizations
A parallelcomputing iterative solver is provided that employs a preconditioner that is processed using parallelcomputing for solving linear systems of equations. Thus, a preconditioning... 

US20090077153 
Reconfigurable arithmetic unit
A reconfigurable arithmetic circuit including a plurality of logical AND gates arranged in logical columns and rows, a plurality of conductors each connected to furnish input to the AND gates of a... 

US20140258352 
SPACE DILATING TWOWAY VARIABLE SELECTION
A method of identifying a set of parameters representative of a data set is provided. An eigen decomposition of a covariance matrix is calculated to form a decomposed matrix and an eigenvalue... 

US20080126467 
Technique for transposing nonsymmetric sparse matrices
A technique includes receiving a compressed representation of a sparse matrix. The compressed representation is processed in parallel with multiple processors to generate a compressed... 

US20130138712 
MINIMUM MEAN SQUARE ERROR PROCESSING
A first systolic array receives an input set of time division multiplexed matrices from a plurality of channel matrices. In a first mode, the first systolic array performs triangularization on the... 

US20080077644 
SYSTEMS AND METHODS FOR WAVEFRONT ANALYSIS OVER CIRCULAR AND NONCIRCULAR PUPILS
Systems, methods, and software for determining a set of analytical or numerical polynomials that is orthonormal over circular or noncircular pupils are described. Closedform orthonormal... 

US20090063608 
Full Vector Width Cross Product Using Recirculation for Area Optimization
Embodiments of the invention are generally related to the field of image processing, and more specifically to vector units for supporting image processing. A vector unit may comprise a plurality... 

US20090059210 
Simple matrix method for straylight correction in imaging instruments
A simple matrix method and computer program product for straylight correction in imaging instruments is provided. The straylight correction method includes receiving raw signals from an imaging... 

US20100306300 
Sparse Matrix Padding
Zero elements are added to respective lines (e.g., rows/columns) of a sparse matrix. The added zero elements increase the number of elements in the respective lines to be a multiple of a... 

US20100076723 
TENSOR LINEAR LAPLACIAN DISCRIMINATION FOR FEATURE EXTRACTION
Tensor linear Laplacian discrimination for feature extraction is disclosed. One embodiment comprises generating a contextual distance based sample weight and class weight, calculating a... 

US20090204655 
SYSTEM AND METHOD FOR DETERMINING A GROUPING OF SEGMENTS WITHIN A MARKET
A method for determining a grouping of segments within a market. The method includes forming a bias mitigated square matrix from a square matrix populated with second choice data, and forming a... 

US20080086520 
Transforming lists to matrices and optimizing results in data analyses
The disclosed invention provides a method for transforming lists to corresponding matrices and optimizing results of data analyses. Lists of enumerable signs (e.g., numbers, points, vertices,... 

US20090292755 
METHODS AND APPARATUS FOR SIGNATURE PREDICTION AND FEATURE LEVEL FUSION
A system for signature prediction and featurelevel fusion of a target according to various aspects of the present invention includes a first sensing modality for providing a measured data set.... 

US20120078988 
MODIFIED GRAMSCHMIDT CORE IMPLEMENTED IN A SINGLE FIELD PROGRAMMABLE GATE ARRAY ARCHITECTURE
A modified GramSchmidt QR decomposition core implemented in a single field programmable gate array (FPGA) comprises a converter configured to convert a complex fixed point input to a complex... 

US20090006518 
Simple MIMO precoding codebook design for a MIMO wireless communications system
The present invention relates to methods and apparatus for establishing a precoding codebook for a Multiple Input Multiple Output (MIMO) wireless communication system. The precoding codebook... 

US20090276403 
PROJECTION MINING FOR ADVANCED RECOMMENDATION SYSTEMS AND DATA MINING
A method for projection mining comprises performing a first projection on a first data object of a first type comprising a plurality of data entries and a second data object of a second type... 

US20090271395 
MEDIA FILE SEARCHING SYSTEM AND METHOD FOR A MOBILE PHONE
A media file searching system for a mobile phone is disclosed. The system comprises: a capturing module configured for capturing a section of rhythm sung by a user; a character calculating module... 

US20080243982 
Hardware matrix computation for wireless receivers
In one embodiment, a receiver including one or more signalprocessing blocks and a hardwarebased matrix coprocessor. The one or more signalprocessing blocks are adapted to generate a processed... 

US20090010431 
METHOD FOR THE RAPID SYNCHRONISATION OF A DEVICE FOR RECEIVING SCRAMBLED DATA, USING AN OPTIMISED CALCULATION OF A SYNCHRONISATION VALUE
The disclosure relates to a method of synchronising a device for receiving scrambled data, using at least one periodic scrambling sequence which is divided into K time intervals, each interval... 

US20100042806 
DETERMINING INDEX VALUES FOR BITS OF A BINARY VECTOR
In one embodiment, the present invention determines index values corresponding to bits of a binary vector that have a value of 1. During each clock cycle, a masking technique is applied to M... 

US20150113031 
SPARSITYDRIVEN MATRIX REPRESENTATION TO OPTIMIZE OPERATIONAL AND STORAGE EFFICIENCY
Embodiments of the invention relate to sparsitydriven matrix representation. In one embodiment, a sparsity of a matrix is determined and the sparsity is compared to a threshold. Computer memory... 