Results 51 to 60 of about 53,358 (305)

Fast Matrix Multiplication is Stable [PDF]

, 2007
We perform forward error analysis for a large class of recursive matrix multiplication algorithms in the spirit of [D. Bini and G. Lotti, Stability of fast algorithms for matrix multiplication, Numer. Math. 36 (1980), 63–72].
Holtz, Olga, Dumitriu, Ioana, Ioana Dumitriu, James Demmel, Olga Holtz, Kleinberg, Robert, Robert Kleinberg, Demmel, James   +7 more
core   +1 more source

Efficient Block Approximate Matrix Multiplication [PDF]

, 2023
Randomized matrix algorithms have had significant recent impact on numerical linear algebra. One especially powerful class of methods are algorithms for approximate matrix multiplication based on sampling.
Musco, Christopher, Yang, Chuhan
core   +1 more source

Hybrid optimization technique for matrix chain multiplication using Strassen’s algorithm [version 2; peer review: 3 approved, 1 approved with reservations]

F1000Research
Background Matrix Chain Multiplication (MCM) is a fundamental problem in computational mathematics and computer science, often encountered in scientific computing, graphics, and machine learning.
Srinivasarao Thota, Rakshitha T, Thulasi Bikku   +2 more
doaj   +1 more source

Acceleration of Approximate Matrix Multiplications on GPUs

Entropy, 2023
Matrix multiplication is important in various information-processing applications, including the computation of eigenvalues and eigenvectors, and in combinatorial optimization algorithms.
Takuya Okuyama, André Röhm, Takatomo Mihana, Makoto Naruse   +3 more
doaj   +1 more source

Towards an optimised VLSI design algorithm for the constant matrix multiplication problem [PDF]

, 2006
The efficient design of multiplierless implementations of constant matrix multipliers is challenged by the huge solution search spaces even for small scale problems.
O'Connor, Noel E., N. O'Connor, V. Muresan, O\u27Connor, Noel E., Muresan, Valentin, Kinane, Andrew, A. Kinane   +6 more
core   +1 more source

Establishment of a humanized patient‐derived xenograft mouse model of high‐grade serous ovarian cancer for preclinical evaluation of combination immunotherapy

Molecular Oncology, EarlyView.
We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric, Line Bjørge, Martine Rott Lode, Cecilie Fredvik Torkildsen, Pia Aehnlich, Rammah Elnour, Daniela Elena Costea, Lars Andreas Akslen, Liv Cecilie Vestrheim Thomsen, Emmet McCormack, Katrin Kleinmanns   +10 more
wiley   +1 more source

Hybrid optimization technique for matrix chain multiplication using Strassen’s algorithm [version 1; peer review: 2 approved, 1 approved with reservations]

F1000Research
Background Matrix Chain Multiplication (MCM) is a fundamental problem in computational mathematics and computer science, often encountered in scientific computing, graphics, and machine learning.
Srinivasarao Thota, Rakshitha T, Thulasi Bikku   +2 more
doaj   +1 more source

Matrix Multiplication Reductions

CoRR
In this paper we study a worst case to average case reduction for the problem of matrix multiplication over finite fields. Suppose we have an efficient average case algorithm, that given two random matrices $A,B$ outputs a matrix that has a non-trivial correlation with their product $A \cdot B$.
Gola, Ashish, Shinkar, Igor, Singh, Harsimran   +2 more
openaire   +4 more sources

Interpreting the effects of DNA polymerase variants at the structural level

Molecular Oncology, EarlyView.
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi, Karolina Krzesińska, Ludovica Beltrame, Pablo Sánchez‐Izquierdo Besora, Matteo Tiberti, Mef Nilbert, Anna Rohlin, Elena Papaleo   +7 more
wiley   +1 more source

Coded Matrix Multiplication

, 2022
Matrix multiplication is a fundamental building block in many machine learning models. As the input matrices may be too large to be multiplied on a single server, it is common to split input matrices into multiple sub-matrices and execute the ...
Fan, Xiaodi
core