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Matrix multiplication and universal scalability of the time on the Intel Scalable processors
Journal of Physics: Conference Series. 2019. Vol. 1163. No. 012079. P. 1–5.
Russkov A., Shchur L.
Matrix multiplication is one of the core operations in many areas of scientific computing. We present the results of the experiments with the matrix multiplication of the big size comparable with the big size of the onboard memory, which is 1.5 terabyte in our case. We run experiments on the computing board with two sockets and with two Intel Xeon Platinum 8164 processors, each with 26 cores and with multi-threading. The most interesting result of our study is the observation of the perfect scalability law of the matrix multiplication, and of the universality of this law.
Priority areas:
IT and mathematics
Language:
English
Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
Added: October 4, 2026
Gribova N. I., Osmanov S. V., Lyashko S. D. et al., Journal of Magnetism and Magnetic Materials 2025 No. 614 P. 1–8
Here we demonstrate nanometer thick iron garnet films with high specific Faraday rotation suitable for
the magneto-optical applications. Bismuth-substituted iron garnet films of compositions Bi1Y2Fe5O12 and
Bi1Tm2Fe5O12 deposited on gadolinium gallium garnet substrate are fabricated and characterized. Their
thicknesses range from 2 to 10 nm, which corresponds to just a few crystal lattice constants. Spectacularly,
Faraday rotation of the ...
Added: October 4, 2026
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
Added: October 3, 2026
Zykov S. V., Уфимцев Г. А., Моделирование, оптимизация и информационные технологии 2026 Т. 14 № 8 С. 1–13
Информационные системы формируют большие объёмы событийных журналов, которые используются для анализа работы приложений и сервисов. При этом события могут поступать в аналитический контур позже момента их фактического возникновения и не в исходном порядке. Такая рассинхронизация приводит к ошибкам при построении агрегированных временных показателей, а регулярный полный пересчёт многомерного аналитического куба требует значительных вычислительных затрат. Целью ...
Added: October 2, 2026
Polarization of opinions in the group: a modeling algorithm considering the dynamics of social bonds
Chebotarev V., Andreyuk D., Elizarova Anastasiya et al., Procedia Computer Science 2022 Vol. 213 No. C P. 596–601
The dynamics of opinion in a group are of interest for a number of practical purposes. In particular, consensus helps and polarization of opinions hinders cohesive teamwork. Existing approaches for modeling opinion dynamics mostly do not take into account the dynamism of social relations in a group. This paper proposes an algorithm and a program ...
Added: October 2, 2026
Konstantinov A., Elizarova Anastasiya P., Utkin L., Computing, Telecommunications and Control 2026 Vol. 19 No. 1 P. 16–25
Decision trees and their ensemble extensions, such as random forests, are widely used as classification models due to their simplicity and interpretability. However, in many real-world tasks where class labels overlap in the feature space, standard decision trees rely on hard splits that create fragile decision boundaries. In these regions, small perturbations in the input ...
Added: October 2, 2026
Seleznev G., Fominov Yakov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074505
Dirty superconducting films with magnetic impurities can exhibit nontrivial behavior in a magnetic field that
polarizes the impurity spins. As predicted by Kharitonov and Feigelman (KF) [JETP Lett. 82, 421 (2005)],
this polarization reduces the exchange scattering rate. Consequently, a parallel magnetic field can enhance
the critical temperature Tc when magnetic-field pair breaking is weak, as realized for ...
Added: October 2, 2026
Zhukov A., Chen F., Zeng Y. et al., Nanoscale 2026 Vol. 18 No. 36 P. 19223–19253
Colloidal semiconductor nanocrystals have emerged as promising materials for next-generation light-emitting diodes (LEDs) owing to their solution processability, tunable emission wavelengths, narrow emission linewidths, and high photoluminescence quantum yields. Among them, anisotropic nanocrystals, including one-dimensional nanorods (NRs) and two-dimensional nanoplatelets (NPLs), offer additional opportunities for controlling transition dipole moment orientation and light out-coupling efficiency. These ...
Added: October 2, 2026
Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Uglov T., Pakhlov P., Bodrov D. et al., Journal of High Energy Physics 2026 Vol. 04 Article 101
We study the processes chi_bJ omega and chi_bJ (pi+ pi- pi0)non-omega (J = 0, 1, 2) at center-of-mass energies sqrt(s) from 10.73 to 11.02 GeV using a 142.5 fb^-1 data sample collected with the Belle detector at the KEKB asymmetric-energy e+e- collider; and at sqrt(s) ~ 10.75 GeV using a 19.8 fb^-1 sample collected with ...
Added: October 2, 2026
Uglov T., Pakhlov P., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article L051102
We present an analysis of the processes e+ e- -> eta Upsilon(1S), eta Upsilon(2S), and gamma X_b with X_b -> pi+ pi- chi_bJ, chi_bJ -> gamma Upsilon(1S) (J = 1, 2) reconstructed from gamma gamma pi+ pi- l+ l- (l = e, mu) final states in 19.6 fb^-1 of Belle II data collected at four ...
Added: October 2, 2026
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. 136 No. 23 Article 231801
We report the first search for the flavor-changing neutral-current decays B -> Xs nu nubar, where Xs is a hadronic system with strangeness equal to 1, in data collected with the Belle II detector at the SuperKEKB asymmetric-energy e+ e- collider. The data sample corresponds to an integrated luminosity of 365 fb^-1 collected at the ...
Added: October 2, 2026
Pakhlova G., Bodrov D., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 052009
We search for the e+ e- -> gamma chi_bJ (J = 0, 1, 2) processes at center-of-mass energies sqrt(s) = 10.653, 10.701, 10.746, and 10.804 GeV. These data were collected with the Belle II detector at the SuperKEKB collider and correspond to 3.5, 1.6, 9.8, and 4.7 fb^-1 of integrated luminosity, respectively. We set upper ...
Added: October 2, 2026
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 032004
A sample of 365 fb^-1 of e+ e- -> Upsilon(4S) -> B Bbar data collected by the Belle II experiment is used to measure the partial branching fractions of charmless semileptonic B meson decays and determine the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element V_ub. Events containing a signal electron or muon l and a ...
Added: October 2, 2026
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 052006
We measure the time- and phase-space-integrated CP asymmetry ACP in D0 -> pi+ pi- pi0 decays reconstructed in e+ e- -> c cbar events collected by the Belle II experiment from 2019 to 2022. This sample corresponds to an integrated luminosity of 428 fb^-1. We require D0 mesons to be produced in D*+ -> D0 ...
Added: October 2, 2026
Pakhlov P., Pakhlova G., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article 112010
Using a data sample of 427.9 fb^-1 collected by the Belle II detector at or near the Upsilon(4S) and Upsilon(10753) resonances, the cross sections for e+ e- -> h+ h- J/psi (h = pi/K/p) at center-of-mass energies ranging from 3.8 GeV or the production threshold to 5.5/6.0/7.0 GeV have been measured via initial-state radiation. The ...
Added: October 2, 2026
Bodrov D., Pakhlova G., Aushev Т. et al., Journal of High Energy Physics 2026 Vol. 05 Article 175
Using data samples collected by the Belle and Belle II experiments at the Upsilon(4S) resonance with integrated luminosities of 571 fb^-1 and 365 fb^-1, respectively, we measure the pseudoscalar B-meson mass difference to be m(B0) - m(B+) = (0.495 +/- 0.024 +/- 0.005) MeV/c^2. The results are based on a simultaneous fit to the variable ...
Added: October 2, 2026
Bodrov D., Pakhlova G., Abumusabh М., Physical Review Letters 2026 Vol. D No. 113 Article 032017
We report decay-rate CP asymmetries of the singly-Cabibbo-suppressed decays Xi_c+ -> Sigma+ h+ h- and Lambda_c+ -> p h+ h-, with h=K, pi, measured using 428 fb^-1 of e+ e- collisions collected by the Belle II experiment at the SuperKEKB collider. The results, ACP(Xi_c+ -> Sigma+ K+ K-) = (3.7 +/- 6.6 +/- 0.6)%, ACP(Xi_c+ ...
Added: October 2, 2026
Pochinka O., Baranov D., Nozdrinova E., Теоретическая и математическая физика 2026 Т. 229 № 1 С. 3–14
The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...
Added: October 2, 2026
Pakhlov P., Pakhlova G., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article 112012
We report a measurement of the branching fraction for the leptonic decay B+ -> mu+ nu_mu. This work presents the first B+ -> mu+ nu_mu result using Belle II data, an updated Belle measurement that supersedes the previous result, and their combination, which yields the most precise search to date. The analysis is based on ...
Added: October 2, 2026
Teregulov T., Loubenets E. R., / Series Quantum Physics "arXiv". 2026. No. 2609.31472.
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...
Added: September 28, 2026
Shabanov N., Kuricheva O., Kurbatova J. et al., / Series Working Papers SSRN "Department of Economics Ca’ Foscari University of Venice". 2026.
The carbon balance of an ecosystem is the difference between Gross Primary Productivity (GPP) and Ecosystem Respiration (Reco) as expressed by Net Ecosystem Exchange (NEE). While remote sensing retrievals of GPP have reached maturity, Reco estimation remains underexplored and ultimately cast bias on NEE. Here we present an end-to-end multi-scale analysis of the mechanism of ...
Added: August 21, 2026
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026