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Optimal sequence for chain matrix multiplication using evolutionary algorithm [PDF]

open access: yesPeerJ Computer Science, 2021
The Chain Matrix Multiplication Problem (CMMP) is an optimization problem that helps to find the optimal way of parenthesization for Chain Matrix Multiplication (CMM).
Umer Iqbal   +7 more
doaj   +3 more sources

Locally Encoded Secure Distributed Batch Matrix Multiplication [PDF]

open access: yesEntropy
We study the problem of locally encoded secure distributed batch matrix multiplication (LESDBMM), where M pairs of sources each encode their respective batches of massive matrices and distribute the generated shares to a subset of N worker nodes.
Haobo Jia, Zhuqing Jia
doaj   +2 more sources

Hypergraph Partitioning for Sparse Matrix-Matrix Multiplication [PDF]

open access: yesACM Transactions on Parallel Computing, 2016
We propose a fine-grained hypergraph model for sparse matrix-matrix multiplication (SpGEMM), a key computational kernel in scientific computing and data analysis whose performance is often communication bound. This model correctly describes both the interprocessor communication volume along a critical path in a parallel computation and also the volume ...
Grey Ballard
exaly   +3 more sources

Faster quantum subroutine for matrix chain multiplication via Chebyshev approximation [PDF]

open access: yesScientific Reports
Matrix operations are crucial to various computational tasks in various fields, and quantum computing offers a promising avenue to accelerate these operations. We present a quantum matrix multiplication (QMM) algorithm that employs amplitude encoding and
Xinying Li   +5 more
doaj   +2 more sources

Matrix multiplication via matrix groups

open access: yesCoRR, 2022
15 ...
Jonah Blasiak   +4 more
openaire   +4 more sources

Neon NTT: Faster Dilithium, Kyber, and Saber on Cortex-A72 and Apple M1

open access: yesTransactions on Cryptographic Hardware and Embedded Systems, 2021
We present new speed records on the Armv8-A architecture for the latticebased schemes Dilithium, Kyber, and Saber. The core novelty in this paper is the combination of Montgomery multiplication and Barrett reduction resulting in “Barrett multiplication ...
Hanno Becker   +4 more
doaj   +1 more source

Implementation of the Spark technique in a matrix distributed computing algorithm

open access: yesJournal of Intelligent Systems, 2022
Two analyzes of Spark engine performance strategies to implement the Spark technique in a matrix distributed computational algorithm, the multiplication of a sparse multiplication operational test model.
Wang Ying, Cengiz Korhan
doaj   +1 more source

On sunflowers and matrix multiplication [PDF]

open access: yescomputational complexity, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Noga Alon   +2 more
openaire   +5 more sources

Vertices of Suborbital Graph $F_{u,N}$ under Lorentz Matrix Multiplication

open access: yesJournal of New Theory, 2022
In this study, suborbital graphs, $G_{u,N}$ and $F_{u,N}$ are examined. Modular group $\Gamma$ and its act on $\widehat{\mathbb{Q}}$ are studied. Lorentz matrix that gives the vertices obtained under the classical matrix multiplication in the suborbital
Ali Hikmet Değer, İbrahim Gökcan
doaj   +1 more source

Matrix Multiplication Vector Code Generation Based on Polyhedron Model [PDF]

open access: yesJisuanji kexue, 2022
Matrix multiplication is the core of many scientific calculations,and vectorized programming is one of the main means to improve its performance.In view of the existing vectorization optimization problems that often require manual tuning and need to be ...
WANG Bo-yang, PANG Jian-min, XU Jin-long, ZHAO Jie, TAO Xiao-han, ZHU Yu
doaj   +1 more source

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