Mathematics

Authors and titles for September 2022

[3701] arXiv:2209.11722 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Path integrals for fractional Brownian motion and fractional Gaussian noise

Baruch Meerson, Olivier Bénichou, Gleb Oshanin

Comments: 8 pages, 1 figure

Subjects: Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR)

[3702] arXiv:2209.11745 (cross-list from cs.LG) [pdf, html, other]

Title: Unified Algorithms for RL with Decision-Estimation Coefficients: PAC, Reward-Free, Preference-Based Learning, and Beyond

Fan Chen, Song Mei, Yu Bai

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Statistics Theory (math.ST); Machine Learning (stat.ML)

[3703] arXiv:2209.11754 (cross-list from quant-ph) [pdf, html, other]

Title: Estimating the entanglement of random multipartite quantum states

Khurshed Fitter, Cecilia Lancien, Ion Nechita

Subjects: Quantum Physics (quant-ph); Probability (math.PR)

[3704] arXiv:2209.11793 (cross-list from quant-ph) [pdf, other]

Title: Clique Homology is QMA1-hard

Marcos Crichigno, Tamara Kohler

Comments: 50 pages, 20 figures

Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph)

[3705] arXiv:2209.11852 (cross-list from q-bio.PE) [pdf, other]

Title: Dynamics of advantageous mutant spread in spatial death-birth and birth-death Moran models

Jasmine Foo, Einar Bjarki Gunnarsson, Kevin Leder, David Sivakoff

Comments: 27 pages, 7 figures

Subjects: Populations and Evolution (q-bio.PE); Probability (math.PR)

[3706] arXiv:2209.11869 (cross-list from cs.RO) [pdf, other]

Title: The Role of Symmetry in Constructing Geometric Flat Outputs for Free-Flying Robotic Systems

Jake Welde, Matthew D. Kvalheim, Vijay Kumar

Comments: Preprint, to appear in the proceedings of the 2023 IEEE International Conference on Robotics and Automation (ICRA). Companion video available at this https URL. This version updated with minor expository improvements

Subjects: Robotics (cs.RO); Differential Geometry (math.DG); Optimization and Control (math.OC)

[3707] arXiv:2209.11875 (cross-list from stat.ML) [pdf, other]

Title: Tighter Variational Bounds are Not Necessarily Better. A Research Report on Implementation, Ablation Study, and Extensions

Amine M'Charrak, Vít Růžička, Sangyun Shin, Madhu Vankadari

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Statistics Theory (math.ST)

[3708] arXiv:2209.11899 (cross-list from cs.LG) [pdf, html, other]

Title: Two Bicomplex and One Multicomplex Least Mean Square algorithms

Daniel Alpay, Kamal Diki, Mihaela Vajiac

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

[3709] arXiv:2209.11965 (cross-list from stat.ME) [pdf, other]

Title: Robustness against outliers in ordinal response model via divergence approach

Tomotaka Momozaki, Tomoyuki Nakagawa

Comments: 30 pages

Subjects: Methodology (stat.ME); Statistics Theory (math.ST)

[3710] arXiv:2209.11973 (cross-list from gr-qc) [pdf, other]

Title: Conformal symmetries of the energy-momentum tensor of spherically symmetric static spacetimes

Ugur Camci, Khalid Saifullah

Comments: 17 pages, no figures

Journal-ref: Symmetry 2022, 14(4), 647

Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[3711] arXiv:2209.12023 (cross-list from cs.DS) [pdf, other]

Title: Twin-width V: linear minors, modular counting, and matrix multiplication

Édouard Bonnet, Ugo Giocanti, Patrice Ossona de Mendez, Stéphan Thomassé

Comments: 45 pages, 9 figures

Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Logic in Computer Science (cs.LO); Combinatorics (math.CO)

[3712] arXiv:2209.12097 (cross-list from eess.SP) [pdf, other]

Title: A Unified Approach for Beam-Split Mitigation in Terahertz Wideband Hybrid Beamforming

Ahmet M. Elbir

Comments: Accepted Paper in IEEE Transactions on Vehicular Technology

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

[3713] arXiv:2209.12159 (cross-list from eess.SP) [pdf, other]

Title: Grant-Free NOMA-OTFS Paradigm: Enabling Efficient Ubiquitous Access for LEO Satellite Internet-of-Things

Zhen Gao, Xingyu Zhou, Jingjing Zhao, Juan Li, Chunli Zhu, Chun Hu, Pei Xiao, Symeon Chatzinotas, Derrick Wing Kwan Ng, Bjorn Ottersten

Comments: Accepted by IEEE Network

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

[3714] arXiv:2209.12178 (cross-list from cs.MA) [pdf, other]

Title: Hierarchical Cyclic Pursuit: Algebraic Curves Containing the Laplacian Spectra

Sergei E. Parsegov, Pavel Yu. Chebotarev, Pavel S. Shcherbakov, Federico M. Ibáñez

Comments: 12 pages, 20 figures. Submitted to the IEEE for possible publication

Subjects: Multiagent Systems (cs.MA); Combinatorics (math.CO); Optimization and Control (math.OC)

[3715] arXiv:2209.12231 (cross-list from eess.SY) [pdf, other]

Title: Asymptotic Theory for Regularized System Identification Part I: Empirical Bayes Hyper-parameter Estimator

Yue Ju, Biqiang Mu, Lennart Ljung, Tianshi Chen

Subjects: Systems and Control (eess.SY); Statistics Theory (math.ST)

[3716] arXiv:2209.12256 (cross-list from cs.DM) [pdf, other]

Title: On the Cryptomorphism between Davis' Subset Lattices, Atomic Lattices, and Closure Systems under T1 Separation Axiom

Dmitry I. Ignatov

Subjects: Discrete Mathematics (cs.DM); Distributed, Parallel, and Cluster Computing (cs.DC); Data Structures and Algorithms (cs.DS); Combinatorics (math.CO); Rings and Algebras (math.RA)

[3717] arXiv:2209.12284 (cross-list from hep-th) [pdf, other]

Title: $Z_N$-balls: Solitons from $Z_N$-symmetric scalar field theory

F. Buisseret, Y. Brihaye

Journal-ref: Phys Rev D 106, 105204 (2022)

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[3718] arXiv:2209.12288 (cross-list from cs.LG) [pdf, other]

Title: On Representing Linear Programs by Graph Neural Networks

Ziang Chen, Jialin Liu, Xinshang Wang, Jianfeng Lu, Wotao Yin

Comments: ICLR 2023 spotlight

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

[3719] arXiv:2209.12306 (cross-list from cond-mat.mtrl-sci) [pdf, html, other]

Title: Topological Spectral Bands with Frieze Groups

Fabian R. Lux, Tom Stoiber, Shaoyun Wang, Guoliang Huang, Emil Prodan

Journal-ref: J. Math. Phys. 65, 063502 (2024)

Subjects: Materials Science (cond-mat.mtrl-sci); Mathematical Physics (math-ph); K-Theory and Homology (math.KT)

[3720] arXiv:2209.12307 (cross-list from cs.LG) [pdf, other]

Title: On the Stability Analysis of Open Federated Learning Systems

Youbang Sun, Heshan Fernando, Tianyi Chen, Shahin Shahrampour

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

[3721] arXiv:2209.12312 (cross-list from physics.flu-dyn) [pdf, other]

Title: Statistical Equilibrium of Circulating Fluids

Alexander Migdal

Comments: 246 pages, 96 figures, and six appendixes. Submitted to Physics Reports. This version matches the final printed version of Phys. Rep. paper

Subjects: Fluid Dynamics (physics.flu-dyn); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS)

[3722] arXiv:2209.12313 (cross-list from cs.DS) [pdf, other]

Title: Random graph matching at Otter's threshold via counting chandeliers

Cheng Mao, Yihong Wu, Jiaming Xu, Sophie H. Yu

Subjects: Data Structures and Algorithms (cs.DS); Statistics Theory (math.ST); Machine Learning (stat.ML)

[3723] arXiv:2209.12368 (cross-list from eess.SP) [pdf, other]

Title: Deep CLSTM for Predictive Beamforming in Integrated Sensing and Communication-enabled Vehicular Networks

Chang Liu, Xuemeng Liu, Shuangyang Li, Weijie Yuan, Derrick Wing Kwan Ng

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

[3724] arXiv:2209.12376 (cross-list from nlin.SI) [pdf, other]

Title: Consistency around a cube property of Hirota's discrete KdV equation and the lattice sine-Gordon equation

Nobutaka Nakazono

Comments: 19 pages, 7 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[3725] arXiv:2209.12381 (cross-list from cs.LG) [pdf, other]

Title: Convergence of score-based generative modeling for general data distributions

Holden Lee, Jianfeng Lu, Yixin Tan

Subjects: Machine Learning (cs.LG); Probability (math.PR); Statistics Theory (math.ST); Machine Learning (stat.ML)

[3726] arXiv:2209.12385 (cross-list from stat.ME) [pdf, other]

Title: Rerandomization and covariate adjustment in split-plot designs

Wenqi Shi, Anqi Zhao, Hanzhong Liu

Subjects: Methodology (stat.ME); Statistics Theory (math.ST)

[3727] arXiv:2209.12429 (cross-list from eess.SY) [pdf, other]

Title: Online Submodular Coordination with Bounded Tracking Regret: Theory, Algorithm, and Applications to Multi-Robot Coordination

Zirui Xu, Hongyu Zhou, Vasileios Tzoumas

Subjects: Systems and Control (eess.SY); Artificial Intelligence (cs.AI); Multiagent Systems (cs.MA); Robotics (cs.RO); Optimization and Control (math.OC)

[3728] arXiv:2209.12499 (cross-list from cs.CV) [pdf, other]

Title: Improving Multi-fidelity Optimization with a Recurring Learning Rate for Hyperparameter Tuning

HyunJae Lee, Gihyeon Lee, Junhwan Kim, Sungjun Cho, Dohyun Kim, Donggeun Yoo

Subjects: Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG); Optimization and Control (math.OC)

[3729] arXiv:2209.12539 (cross-list from cond-mat.mes-hall) [pdf, other]

Title: A New Class of Solvable Two-dimensional Scalar Potentials for Graphene

M.V.Ioffe, D.N.Nishnianidze

Comments: 30 p.p

Journal-ref: The European Physical Journal Plus 137 (2022) 1195

Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[3730] arXiv:2209.12541 (cross-list from hep-th) [pdf, other]

Title: Supergravity: Application in Particle Physics

Florian Domingo, Michel Rausch de Traubenberg

Comments: Invited chapter for Handbook of Quantum Gravity (Eds. C. Bambi, this http URL and I.L. Shapiro, Springer Singapore, expected in 2023)

Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph)

[3731] arXiv:2209.12637 (cross-list from stat.ME) [pdf, other]

Title: Anytime Valid Tests of Conditional Independence Under Model-X

Peter Grünwald, Alexander Henzi, Tyron Lardy

Subjects: Methodology (stat.ME); Statistics Theory (math.ST)

[3732] arXiv:2209.12638 (cross-list from cs.LG) [pdf, other]

Title: Bounded Simplex-Structured Matrix Factorization: Algorithms, Identifiability and Applications

Olivier Vu Thanh, Nicolas Gillis, Fabian Lecron

Comments: 14 pages, new title, new numerical experiments on synthetic data, clarifications of several parts of the paper, run times added

Subjects: Machine Learning (cs.LG); Information Retrieval (cs.IR); Signal Processing (eess.SP); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[3733] arXiv:2209.12644 (cross-list from cs.RO) [pdf, html, other]

Title: FORESEE: Prediction with Expansion-Compression Unscented Transform for Online Policy Optimization

Hardik Parwana, Dimitra Panagou

Subjects: Robotics (cs.RO); Machine Learning (cs.LG); Systems and Control (eess.SY); Optimization and Control (math.OC)

[3734] arXiv:2209.12651 (cross-list from stat.ML) [pdf, other]

Title: Learning Variational Models with Unrolling and Bilevel Optimization

Christoph Brauer, Niklas Breustedt, Timo de Wolff, Dirk A. Lorenz

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Statistics Theory (math.ST)

[3735] arXiv:2209.12667 (cross-list from stat.ML) [pdf, other]

Title: Shape And Structure Preserving Differential Privacy

Carlos Soto, Karthik Bharath, Matthew Reimherr, Aleksandra Slavkovic

Comments: 15 pages (including supplementary material and references), 3 figures (including supplementary material), to be published in NeurIPS 2022

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Differential Geometry (math.DG); Statistics Theory (math.ST)

[3736] arXiv:2209.12777 (cross-list from cs.LO) [pdf, other]

Title: Truth and Preferences -- A Game Approach for Qualitative Choice Logic

Robert Freiman, Michael Bernreiter

Comments: 8 pages, 2 figures, M-pref 2022

Subjects: Logic in Computer Science (cs.LO); Artificial Intelligence (cs.AI); Logic (math.LO)

[3737] arXiv:2209.12819 (cross-list from cs.DM) [pdf, other]

Title: Maker-Breaker is solved in polynomial time on hypergraphs of rank 3

Florian Galliot, Sylvain Gravier, Isabelle Sivignon

Comments: The present updated version of this deposit provides a counterexample to a similar result which was incorrectly claimed recently (arXiv:2209.11202)

Subjects: Discrete Mathematics (cs.DM); Combinatorics (math.CO)

[3738] arXiv:2209.12823 (cross-list from cs.NE) [pdf, other]

Title: Introductory Review of Swarm Intelligence Techniques

Thounaojam Chinglemba, Soujanyo Biswas, Debashish Malakar, Vivek Meena, Debojyoti Sarkar, Anupam Biswas

Comments: Submitted to Springer

Subjects: Neural and Evolutionary Computing (cs.NE); Optimization and Control (math.OC)

[3739] arXiv:2209.12835 (cross-list from stat.ML) [pdf, other]

Title: Targeted Separation and Convergence with Kernel Discrepancies

Alessandro Barp, Carl-Johann Simon-Gabriel, Mark Girolami, Lester Mackey

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Statistics Theory (math.ST)

[3740] arXiv:2209.12888 (cross-list from eess.SY) [pdf, other]

Title: Weighted Age of Information based Scheduling for Large Population Games on Networks

Shubham Aggarwal, Muhammad Aneeq uz Zaman, Melih Bastopcu, Tamer Başar

Comments: This work has been submitted to IEEE for possible publication

Subjects: Systems and Control (eess.SY); Information Theory (cs.IT); Networking and Internet Architecture (cs.NI); Optimization and Control (math.OC)

[3741] arXiv:2209.12897 (cross-list from quant-ph) [pdf, other]

Title: Quantum Speedups of Optimizing Approximately Convex Functions with Applications to Logarithmic Regret Stochastic Convex Bandits

Tongyang Li, Ruizhe Zhang

Comments: NeurIPS 2022

Subjects: Quantum Physics (quant-ph); Machine Learning (cs.LG); Optimization and Control (math.OC)

[3742] arXiv:2209.12950 (cross-list from gr-qc) [pdf, other]

Title: Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism

Valentin Boyanov, Kyriakos Destounis, Rodrigo Panosso Macedo, Vitor Cardoso, José Luis Jaramillo

Comments: 19 pages, 5 figures; v2: minor changes and references added

Journal-ref: Phys. Rev. D 107, 064012 (2023)

Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[3743] arXiv:2209.12967 (cross-list from cs.GT) [pdf, html, other]

Title: Best-Response dynamics in two-person random games with correlated payoffs

Hlafo Alfie Mimun, Matteo Quattropani, Marco Scarsini

Comments: 32 pages, 3 figures

Subjects: Computer Science and Game Theory (cs.GT); Theoretical Economics (econ.TH); Probability (math.PR)

[3744] arXiv:2209.13044 (cross-list from hep-th) [pdf, other]

Title: Poisson gauge models and Seiberg-Witten map

V. G. Kupriyanov, M. A. Kurkov, P. Vitale

Comments: 20 pages

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[3745] arXiv:2209.13063 (cross-list from cs.CC) [pdf, other]

Title: Quantum-Inspired Perfect Matching under Vertex-Color Constraints

Moshe Y. Vardi, Zhiwei Zhang

Comments: 13 pages excluding appendix and reference. 4 figures

Subjects: Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS); Mathematical Physics (math-ph); Combinatorics (math.CO); Quantum Physics (quant-ph)

[3746] arXiv:2209.13082 (cross-list from cs.LO) [pdf, other]

Title: Static Knowledge vs. Dynamic Argumentation: A Dual Theory Based on Kripke Semantics

Xinyu Wang, Momoka Fujieda

Subjects: Logic in Computer Science (cs.LO); Artificial Intelligence (cs.AI); Logic (math.LO)

[3747] arXiv:2209.13094 (cross-list from eess.IV) [pdf, html, other]

Title: Efficient Image Denoising by Low-Rank Singular Vector Approximations of Geodesics' Gramian Matrix

Kelum Gajamannage, Yonggi Park, S.M. Mallikarjunaiah, Sunil Mathur

Comments: 19 pages, 3 figures, submitted to ACM Transactions on Architecture and Code Optimization

Subjects: Image and Video Processing (eess.IV); Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[3748] arXiv:2209.13098 (cross-list from stat.ML) [pdf, other]

Title: Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning

Yang Li, Shenglan Yuan, Shengyuan Xu

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Dynamical Systems (math.DS)

[3749] arXiv:2209.13119 (cross-list from eess.SY) [pdf, other]

Title: A (Strongly) Connected Weighted Graph is Uniformly Detectable based on any Output Node

Uduak Inyang-Udoh, Michael Shanks, Neera Jain

Subjects: Systems and Control (eess.SY); Dynamical Systems (math.DS)

[3750] arXiv:2209.13157 (cross-list from stat.ME) [pdf, other]

Title: Decisions, decisions, decisions in an uncertain environment

Noel Cressie

Comments: 15 pages

Subjects: Methodology (stat.ME); Probability (math.PR)