Mathematics

Authors and titles for June 2022

[51] arXiv:2206.00285 [pdf, html, other]

Title: Stochastic Gradient Methods with Preconditioned Updates

Abdurakhmon Sadiev, Aleksandr Beznosikov, Abdulla Jasem Almansoori, Dmitry Kamzolov, Rachael Tappenden, Martin Takáč

Comments: 40 pages, 2 new algorithms, 20 figures, 4 tables

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG)

[52] arXiv:2206.00287 [pdf, other]

Title: Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes

Qinqin Ji, Dabin Zheng, Hao Chen, Xiaoqiang Wang

Subjects: Information Theory (cs.IT)

[53] arXiv:2206.00290 [pdf, other]

Title: Discrete Gradient Flow Approximations of High Dimensional Evolution Partial Differential Equations via Deep Neural Networks

Emmanuil H. Georgoulis, Michail Loulakis, Asterios Tsiourvas

Subjects: Numerical Analysis (math.NA)

[54] arXiv:2206.00297 [pdf, other]

Title: First-order conditions for the optimal control of learning-informed nonsmooth PDEs

Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros, Kathrin Völkner

Comments: 24 pages, 1 figure

Subjects: Optimization and Control (math.OC)

[55] arXiv:2206.00307 [pdf, other]

Title: Federated Learning in Satellite Constellations

Bho Matthiesen, Nasrin Razmi, Israel Leyva-Mayorga, Armin Dekorsy, Petar Popovski

Comments: Copyright 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works

Journal-ref: IEEE Network (Volume: 38, Issue: 2, March 2024)

Subjects: Information Theory (cs.IT); Machine Learning (cs.LG); Networking and Internet Architecture (cs.NI)

[56] arXiv:2206.00308 [pdf, other]

Title: Content Distribution based on Joint V2I and V2V Scheduling in mmWave Vehicular Networks

Lan Su, Yong Niu, Zhu Han, Bo Ai, Ruisi He, Yibing Wang, Ning Wang, Xiang Su

Comments: 12 pages, 11 figures, IEEE Transactions on Vehicular Technology

Subjects: Information Theory (cs.IT)

[57] arXiv:2206.00312 [pdf, other]

Title: A Spectral Method for Depth-Separated Solution of a Wavenumber Integration Model in Horizontally Stratified Fluid Acoustic Waveguides

Houwang Tu, Yongxian Wang, Wei Liu, Shuqing Ma, Xiaodong Wang

Comments: 22 pages, 9 figures and 3 tables

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[58] arXiv:2206.00315 [pdf, other]

Title: The algebraic and geometric classification of Zinbiel algebras

María Alejandra Alvarez, Renato Fehlberg Júnior, Ivan Kaygorodov

Comments: arXiv admin note: substantial text overlap with arXiv:2205.00444. substantial text overlap with arXiv:2106.00336, arXiv:1912.02691, arXiv:1812.01442, arXiv:2004.03598

Subjects: Rings and Algebras (math.RA)

[59] arXiv:2206.00318 [pdf, other]

Title: The $\mathrm{CMO}$-Dirichlet problem for elliptic systems in the upper half-space

Mingming Cao

Journal-ref: Potential Anal. 60 (2024), 895-915

Subjects: Classical Analysis and ODEs (math.CA)

[60] arXiv:2206.00320 [pdf, other]

Title: Mittag--Leffler Euler integrator and large deviations for stochastic space-time fractional diffusion equations

Xinjie Dai, Jialin Hong, Derui Sheng

Subjects: Numerical Analysis (math.NA)

[61] arXiv:2206.00323 [pdf, other]

Title: Order estimate of functionals related to fractional Brownian motion and asymptotic expansion of the quadratic variation of fractional stochastic differential equation

Hayate Yamagishi, Nakahiro Yoshida

Comments: 78 pages

Subjects: Probability (math.PR); Statistics Theory (math.ST)

[62] arXiv:2206.00324 [pdf, other]

Title: Kostka numbers and Fourier duality

Michael Finkelberg, Alexander Postnikov, Vadim Schechtman

Comments: 30 pages

Subjects: Representation Theory (math.RT)

[63] arXiv:2206.00327 [pdf, other]

Title: Improved Successive Branch Reduction for Stochastic Distribution Network Reconfiguration

Wanjun Huang, Changhong Zhao

Subjects: Optimization and Control (math.OC)

[64] arXiv:2206.00328 [pdf, other]

Title: A crypto-regularity result for the micropolar fluids equations

Diego Chamorro (LaMME), David Llerena (LaMME)

Subjects: Analysis of PDEs (math.AP)

[65] arXiv:2206.00329 [pdf, other]

Title: How environment affects active particle swarms: a case study

Pierre Degond, Angelika Manhart, Sara Merino-Aceituno, Diane Peurichard, Lorenzo Sala

Comments: 39 pages, 14 figures

Subjects: Mathematical Physics (math-ph)

[66] arXiv:2206.00331 [pdf, other]

Title: On slopes of isodual lattices

Renaud Coulangeon (UB, IMB)

Subjects: Number Theory (math.NT)

[67] arXiv:2206.00333 [pdf, html, other]

Title: $\mathcal{S}$-adic characterization of minimal dendric shifts

France Gheeraert, Julien Leroy

Comments: 28 pages

Subjects: Dynamical Systems (math.DS); Discrete Mathematics (cs.DM)

[68] arXiv:2206.00336 [pdf, other]

Title: Formal frames and deformations of affine connections

Taro Asuke

Comments: A remark and a reference added

Subjects: Differential Geometry (math.DG)

[69] arXiv:2206.00339 [pdf, other]

Title: Adaptive time integration of mechanical forces in center-based models for biological cell populations

Per Lötstedt, Sonja Mathias

Subjects: Numerical Analysis (math.NA); Tissues and Organs (q-bio.TO)

[70] arXiv:2206.00340 [pdf, other]

Title: On the latency of multi-level polar coded modulations

Vincent Corlay

Comments: Accepted to the GRETSI

Subjects: Information Theory (cs.IT)

[71] arXiv:2206.00341 [pdf, other]

Title: Ergodic behaviors of composition operators acting on space of bounded holomorphic functions

Hamzeh Keshavarzi, Karim Hedayatian

Comments: 12 pages

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[72] arXiv:2206.00351 [pdf, other]

Title: No universal graphs at uncountable regular cardinals

Mohammad Golshani

Comments: This is the preliminary version of the paper which only sketches the proof. The details will appear in the next version of the paper

Subjects: Logic (math.LO)

[73] arXiv:2206.00353 [pdf, other]

Title: Expansivity and strong structural stability for composition operators on $L^p$ spaces

Martina Maiuriello

Subjects: Dynamical Systems (math.DS)

[74] arXiv:2206.00358 [pdf, other]

Title: Computation of $\lambda$-classes via strata of differentials

Georgios Politopoulos, Adrien Sauvaget

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[75] arXiv:2206.00365 [pdf, other]

Title: ORKA: Object reconstruction using a K-approximation graph

Florian Bossmann, Jianwei Ma

Journal-ref: Inverse Problems 38 125009, 2022

Subjects: Numerical Analysis (math.NA)

[76] arXiv:2206.00374 [pdf, other]

Title: A note on forward iteration of inner functions

Gustavo Rodrigues Ferreira

Comments: 9 pages

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[77] arXiv:2206.00377 [pdf, other]

Title: NOMA for Integrating Sensing and Communications towards 6G: A Multiple Access Perspective

Xidong Mu, Zhaolin Wang, Yuanwei Liu

Comments: 7 pages, 5 figures

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[78] arXiv:2206.00387 [pdf, other]

Title: Hypercritical deformed Hermitian-Yang-Mills equation revisited

Jianchun Chu, Man-Chun Lee

Subjects: Differential Geometry (math.DG)

[79] arXiv:2206.00400 [pdf, other]

Title: Multi-colour competition with reinforcement

Daniel Ahlberg, Carolina Fransson

Comments: 25 pages. An animated overview is available at this https URL

Subjects: Probability (math.PR); Combinatorics (math.CO)

[80] arXiv:2206.00406 [pdf, other]

Title: Some Identities in Quantum Torus Arising from Ringel-Hall Algebras

Jiuzhao Hua

Comments: 9 pages; correcting typos and simplifying notations

Subjects: Representation Theory (math.RT); Combinatorics (math.CO)

[81] arXiv:2206.00411 [pdf, other]

Title: Deformations of modified $r$-matrices and cohomologies of related algebraic structures

Jun Jiang, Yunhe Sheng

Comments: 18 pages, to appear in JNCG

Journal-ref: J. Noncommut. Geom. (2024)

Subjects: Mathematical Physics (math-ph); Rings and Algebras (math.RA)

[82] arXiv:2206.00412 [pdf, other]

Title: Quaternary quadratic forms with prime discriminant

Jeremy Rouse, Katherine Thompson

Comments: 20 pages

Subjects: Number Theory (math.NT)

[83] arXiv:2206.00413 [pdf, other]

Title: On denseness of certain direction and generalized direction sets

Deepa Antony, Rupam Barman, Jaitra Chattopadhyay

Comments: 8 pages, comments are welcome

Subjects: Number Theory (math.NT)

[84] arXiv:2206.00414 [pdf, other]

Title: An analytical and computational study of the incompressible Toner-Tu Equations

John.D.Gibbon, Kolluru Venkata Kiran, Nadia Bihari Padhan, Rahul Pandit

Subjects: Analysis of PDEs (math.AP); Biological Physics (physics.bio-ph); Fluid Dynamics (physics.flu-dyn)

[85] arXiv:2206.00420 [pdf, html, other]

Title: Tropical invariants for binary quintics and reduction types of Picard curves

Paul Alexander Helminck, Yassine El Maazouz, Enis Kaya

Comments: 25 pages

Journal-ref: Glasgow Mathematical Journal , Volume 66 , Issue 1 , January 2024 , pp. 65 - 87

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[86] arXiv:2206.00422 [pdf, other]

Title: Edge Learning for B5G Networks with Distributed Signal Processing: Semantic Communication, Edge Computing, and Wireless Sensing

Wei Xu, Zhaohui Yang, Derrick Wing Kwan Ng, Marco Levorato, Yonina C. Eldar, M'erouane Debbah

Subjects: Information Theory (cs.IT); Distributed, Parallel, and Cluster Computing (cs.DC)

[87] arXiv:2206.00433 [pdf, other]

Title: An explicit mean-value estimate for the PNT in intervals

Michaela Cully-Hugill, Adrian W. Dudek

Comments: Accepted for publication in the Journal of the Australian Mathematical Society

Subjects: Number Theory (math.NT)

[88] arXiv:2206.00434 [pdf, html, other]

Title: Zero-free half-planes of the \zeta -function via spaces of analytic functions

Aditya Ghosh, Kobi Kremnizer, S. Waleed Noor, Charles F. Santos

Comments: Mostly aesthetic changes

Journal-ref: Advances in Math. Vol 455. 2024. 109872

Subjects: Number Theory (math.NT); Functional Analysis (math.FA)

[89] arXiv:2206.00443 [pdf, other]

Title: Boundary points, minimal $L^2$ integrals and concavity property V -- vector bundles

Qi'an Guan, Zhitong Mi, Zheng Yuan

Comments: 74 pages, some typos are corrected, and Lemma 9.3 was added. arXiv admin note: substantial text overlap with arXiv:2203.07723, arXiv:2203.15188

Subjects: Complex Variables (math.CV)

[90] arXiv:2206.00444 [pdf, other]

Title: Affine Pavings of Quiver Flag Varieties

Xiaoxiang Zhou

Comments: 25 pages, 10 figures

Subjects: Representation Theory (math.RT)

[91] arXiv:2206.00445 [pdf, other]

Title: On Provability Logic of HA

Mojtaba Mojtahedi

Subjects: Logic (math.LO)

[92] arXiv:2206.00446 [pdf, other]

Title: Relative Unification in Intuitionistic Logic: Towards provability logic of HA

Mojtaba Mojtahedi

Subjects: Logic (math.LO)

[93] arXiv:2206.00448 [pdf, other]

Title: A fast algorithm for the inversion of Abel's transform

Enrico De Micheli

Comments: 19 pages, 4 figures

Journal-ref: Applied Mathematics and Computation, 301 (2017), 12-24

Subjects: Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA)

[94] arXiv:2206.00452 [pdf, other]

Title: The effect of time discretization on the solution of parabolic PDEs with ANNs

Francesco Calabrò, Salvatore Cuomo, Daniela di Serafino, Giuseppe Izzo, Eleonora Messina

Comments: 21 pages

Subjects: Numerical Analysis (math.NA)

[95] arXiv:2206.00453 [pdf, other]

Title: A New Approach to Solve the Fuzzy Nonlinear Unconstraint Optimization Problem

Paresh Kumar Panigrahi, Sukanta Nayak, Sudipta Priyadarshini

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[96] arXiv:2206.00456 [pdf, other]

Title: Generalizing the Mukai Conjecture to the symplectic category and the Kostant game

Alexander Caviedes Castro, Milena Pabiniak, Silvia Sabatini

Comments: 26 pages

Subjects: Symplectic Geometry (math.SG); Combinatorics (math.CO)

[97] arXiv:2206.00457 [pdf, other]

Title: Automatic differentiation of nonsmooth iterative algorithms

Jérôme Bolte (TSE), Edouard Pauwels (IRIT), Samuel Vaiter (JAD)

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG)

[98] arXiv:2206.00462 [pdf, other]

Title: MDS and AMDS symbol-pair codes constructed from repeated-root codes

Xiuxin Tang, Rong Luo

Comments: 22 pages. arXiv admin note: substantial text overlap with arXiv:2204.02670

Subjects: Information Theory (cs.IT)

[99] arXiv:2206.00465 [pdf, other]

Title: Euler's and the Taxi Cab relations and other numbers that can be written twice as sums of two cubed integers

Vladimir Pletser

Comments: 7 pages, 1 figure

Subjects: Number Theory (math.NT)

[100] arXiv:2206.00469 [pdf, other]

Title: A barycentric trigonometric Hermite interpolant via an iterative approach

Giacomo Elefante

Subjects: Numerical Analysis (math.NA)