Mathematics

Authors and titles for October 2022

[3501] arXiv:2210.01735 (cross-list from quant-ph) [pdf, other]

Title: Entanglement of Bipartite Gaussian States: a Simple Criterion and its Geometric Interpretation

Maurice de Gosson

Comments: Error in the proof. will be replaced with a correct version

Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)

[3502] arXiv:2210.01802 (cross-list from cs.LG) [pdf, other]

Title: Alternating Differentiation for Optimization Layers

Haixiang Sun, Ye Shi, Jingya Wang, Hoang Duong Tuan, H. Vincent Poor, Dacheng Tao

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

[3503] arXiv:2210.01847 (cross-list from hep-th) [pdf, other]

Title: Dualities between fermionic theories and the Potts model

Vladimir Narovlansky

Comments: 19 pages, 6 figures

Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Probability (math.PR)

[3504] arXiv:2210.01849 (cross-list from cs.SI) [pdf, other]

Title: Link Partitioning on Simplicial Complexes Using Higher-Order Laplacians

Xinyi Wu, Arnab Sarker, Ali Jadbabaie

Comments: Accepted to 22nd IEEE International Conference on Data Mining (ICDM 2022). Fixed some typos in v1

Subjects: Social and Information Networks (cs.SI); Data Structures and Algorithms (cs.DS); Algebraic Topology (math.AT)

[3505] arXiv:2210.01919 (cross-list from eess.SY) [pdf, other]

Title: Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets

Shadi Haddad, Abhishek Halder

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

[3506] arXiv:2210.01977 (cross-list from cs.NI) [pdf, other]

Title: Energy and Time Based Topology Control Approach to Enhance the Lifetime of WSN in an economic zone

Tanvir Hossain, Md. Ershadul Haque, Abdullah Al Mamun, Samiul Ul Hoque, Al Amin Fahim

Comments: 14 pages, 10 figures

Subjects: Networking and Internet Architecture (cs.NI); Computer Vision and Pattern Recognition (cs.CV); Information Theory (cs.IT)

[3507] arXiv:2210.02070 (cross-list from cs.LG) [pdf, other]

Title: Non-Convergence and Limit Cycles in the Adam optimizer

Sebastian Bock, Martin Georg Weiß

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[3508] arXiv:2210.02116 (cross-list from q-bio.PE) [pdf, other]

Title: Computing algebraic degrees of phylogenetic varieties

Luis David Garcia Puente, Marina Garrote-López, Elima Shehu

Journal-ref: Alg. Stat. 14 (2023) 215-231

Subjects: Populations and Evolution (q-bio.PE); Algebraic Geometry (math.AG)

[3509] arXiv:2210.02167 (cross-list from cs.DS) [pdf, other]

Title: Faster parameterized algorithms for modification problems to minor-closed classes

Laure Morelle, Ignasi Sau, Giannos Stamoulis, Dimitrios M. Thilikos

Comments: 75 pages. TheoretiCS journal article. Abstract abbreviated to fit arXiv limitation

Journal-ref: TheoretiCS, Volume 3 (August 12, 2024) theoretics:11623

Subjects: Data Structures and Algorithms (cs.DS); Computational Complexity (cs.CC); Combinatorics (math.CO)

[3510] arXiv:2210.02175 (cross-list from q-fin.CP) [pdf, other]

Title: Boundary-safe PINNs extension: Application to non-linear parabolic PDEs in counterparty credit risk

Joel P. Villarino, Álvaro Leitao, José A. García-Rodríguez

Subjects: Computational Finance (q-fin.CP); Numerical Analysis (math.NA)

[3511] arXiv:2210.02192 (cross-list from cs.LG) [pdf, other]

Title: Are All Losses Created Equal: A Neural Collapse Perspective

Jinxin Zhou, Chong You, Xiao Li, Kangning Liu, Sheng Liu, Qing Qu, Zhihui Zhu

Comments: 32 page, 10 figures, NeurIPS 2022

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Information Theory (cs.IT); Optimization and Control (math.OC); Machine Learning (stat.ML)

[3512] arXiv:2210.02195 (cross-list from cs.LG) [pdf, other]

Title: A machine learning based algorithm selection method to solve the minimum cost flow problem

Philipp Herrmann, Anna Meyer, Stefan Ruzika, Luca E. Schäfer, Fabian von der Warth

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

[3513] arXiv:2210.02230 (cross-list from hep-th) [pdf, other]

Title: Integrable crosscaps in classical sigma models

Tamas Gombor

Comments: 26 pages, 4 figures, 6 tables, some references added

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

[3514] arXiv:2210.02235 (cross-list from cs.LG) [pdf, other]

Title: Over-the-Air Federated Learning with Privacy Protection via Correlated Additive Perturbations

Jialing Liao, Zheng Chen, Erik G. Larsson

Comments: 8 pages, 4 figures, Allerton 2022

Subjects: Machine Learning (cs.LG); Cryptography and Security (cs.CR); Information Theory (cs.IT)

[3515] arXiv:2210.02265 (cross-list from nlin.SI) [pdf, other]

Title: Soliton interactions and Yang-Baxter maps for the complex coupled short-pulse equation

Vincent Caudrelier, Aikaterini Gkogkou, Barbara Prinari

Comments: 62 pages (40 + 22 pages of appendices), 5 figures. Authors' accepted version in SAPM

Journal-ref: Stud. Appl. Math. 151 (2023), 285-351

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

[3516] arXiv:2210.02268 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Chemical diffusion master equation: formulations of reaction--diffusion processes on the molecular level

Mauricio J. del Razo, Stefanie Winkelmann, Rupert Klein, Felix Höfling

Journal-ref: J. Math. Phys. 64, 013304 (2023)

Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Probability (math.PR); Chemical Physics (physics.chem-ph)

[3517] arXiv:2210.02345 (cross-list from cs.RO) [pdf, other]

Title: SCTOMP: Spatially Constrained Time-Optimal Motion Planning

Jon Arrizabalaga, Markus Ryll

Comments: This paper has been accepted for publication at the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Detroit, USA, October 2023. Copyright @ IEEE

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

[3518] arXiv:2210.02366 (cross-list from q-bio.QM) [pdf, other]

Title: Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes

Rayanne A. Luke, Anthony J. Kearsley, Paul N. Patrone

Comments: 28 pages, 8 figures, 4 tables, 4 supplemental figures

Subjects: Quantitative Methods (q-bio.QM); Optimization and Control (math.OC); Probability (math.PR); Biological Physics (physics.bio-ph); Methodology (stat.ME)

[3519] arXiv:2210.02370 (cross-list from quant-ph) [pdf, html, other]

Title: Spectral Properties of the Symmetry Generators of Conformal Quantum Mechanics: A Path-Integral Approach

H. E. Camblong, A. Chakraborty, P. Lopez-Duque, C. R. Ordóñez

Comments: Updated with published version

Journal-ref: J. Math. Phys. 64 (9): 092302; 1 September 2023

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

[3520] arXiv:2210.02373 (cross-list from cs.LG) [pdf, other]

Title: Dynamical systems' based neural networks

Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry

Subjects: Machine Learning (cs.LG); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[3521] arXiv:2210.02393 (cross-list from nlin.SI) [pdf, other]

Title: Integrable and superintegrable systems of cylindrical type in magnetic fields

Ondřej Kubů

Comments: Master's thesis, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, September 2020. 103 pages, 4 figures

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

[3522] arXiv:2210.02444 (cross-list from cond-mat.str-el) [pdf, other]

Title: Anomaly of $(2+1)$-Dimensional Symmetry-Enriched Topological Order from $(3+1)$-Dimensional Topological Quantum Field Theory

Weicheng Ye, Liujun Zou

Comments: Recipe of calculating the partition function involving continuous symmetries added, together with extra examples

Journal-ref: SciPost Phys. 15, 004 (2023)

Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[3523] arXiv:2210.02482 (cross-list from stat.ML) [pdf, other]

Title: Fisher information lower bounds for sampling

Sinho Chewi, Patrik Gerber, Holden Lee, Chen Lu

Comments: 35 pages

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

[3524] arXiv:2210.02483 (cross-list from quant-ph) [pdf, other]

Title: No invariant perfect qubit codes

Refik Mansuroglu, Hanno Sahlmann

Comments: 17 pages, v2: small changes in the text, version essentially identical to the one published in JHEP

Journal-ref: JHEP 02 (2023) 62

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

[3525] arXiv:2210.02499 (cross-list from eess.SP) [pdf, other]

Title: A Dynamic Grouping Strategy for Beyond Diagonal Reconfigurable Intelligent Surfaces with Hybrid Transmitting and Reflecting Mode

Hongyu Li, Shanpu Shen, Bruno Clerckx

Comments: 6 pages, 6 figures, accepted by IEEE Trans. Veh. Technol

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

[3526] arXiv:2210.02530 (cross-list from cond-mat.str-el) [pdf, other]

Title: Fractional Statistics

Martin Greiter, Frank Wilczek

Comments: 40 pages, 7 figures. arXiv admin note: text overlap with arXiv:1109.6104

Subjects: Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[3527] arXiv:2210.02548 (cross-list from stat.ME) [pdf, other]

Title: Regression discontinuity design with right-censored survival data

Emil Aas Stoltenberg

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

[3528] arXiv:2210.02550 (cross-list from gr-qc) [pdf, other]

Title: Conservative Evolution of Black Hole Perturbations with Time-Symmetric Numerical Methods

Michael F. O'Boyle, Charalampos Markakis, Lidia J. Gomes Da Silva, Rodrigo Panosso Macedo, Juan A. Valiente Kroon

Comments: 43 pages, 8 figures

Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); Numerical Analysis (math.NA)

[3529] arXiv:2210.02590 (cross-list from cs.LG) [pdf, other]

Title: Star-Graph Multimodal Matching Component Analysis for Data Fusion and Transfer Learning

Nick Lorenzo

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[3530] arXiv:2210.02594 (cross-list from cs.LG) [pdf, other]

Title: Reward-Mixing MDPs with a Few Latent Contexts are Learnable

Jeongyeol Kwon, Yonathan Efroni, Constantine Caramanis, Shie Mannor

Subjects: Machine Learning (cs.LG); Information Theory (cs.IT); Machine Learning (stat.ML)

[3531] arXiv:2210.02599 (cross-list from econ.EM) [pdf, html, other]

Title: The Local to Unity Dynamic Tobit Model

Anna Bykhovskaya, James A. Duffy

Comments: 42 pages, 7 figures; author accepted manuscript

Journal-ref: Journal of Econometrics (2024), 241(2), 105764

Subjects: Econometrics (econ.EM); Statistics Theory (math.ST)

[3532] arXiv:2210.02612 (cross-list from eess.SY) [pdf, other]

Title: Lyapunov Function Consistent Adaptive Network Signal Control with Back Pressure and Reinforcement Learning

Chaolun Ma, Bruce Wang, Zihao Li, Ahmadreza Mahmoudzadeh, Yunlong Zhang

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

[3533] arXiv:2210.02614 (cross-list from cs.LG) [pdf, other]

Title: Federated Learning with Server Learning: Enhancing Performance for Non-IID Data

Van Sy Mai, Richard J. La, Tao Zhang

Comments: 22 pages, 11 figures, 3 tables

Subjects: Machine Learning (cs.LG); Distributed, Parallel, and Cluster Computing (cs.DC); Optimization and Control (math.OC)

[3534] arXiv:2210.02628 (cross-list from cs.RO) [pdf, other]

Title: Cooperative Coverage with a Leader and a Wingmate in Communication-Constrained Environments

Sai Krishna Kanth Hari, Sivakumar Rathinam, Swaroop Darbha, David W. Casbeer

Subjects: Robotics (cs.RO); Data Structures and Algorithms (cs.DS); Optimization and Control (math.OC)

[3535] arXiv:2210.02648 (cross-list from eess.SY) [pdf, other]

Title: Self-triggered Consensus of Multi-agent Systems with Quantized Relative State Measurements

Masashi Wakaiki

Comments: 29 pages, 3 figures. To appear in IET Control Theory & Applications

Subjects: Systems and Control (eess.SY); Optimization and Control (math.OC)

[3536] arXiv:2210.02672 (cross-list from cs.DS) [pdf, html, other]

Title: A Novel Maximum-Entropy-Driven Technique for Low-Rank Orthogonal Nonnegative Matrix Factorization with $\ell_0$-Norm sparsity Constraint

Salar Basiri, Srinivasa Salapaka

Subjects: Data Structures and Algorithms (cs.DS); Information Theory (cs.IT); Machine Learning (cs.LG); Probability (math.PR)

[3537] arXiv:2210.02698 (cross-list from physics.comp-ph) [pdf, other]

Title: A Fast Butterfly-compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources

Yang Liu, Jian Song, Robert Burridge, Jianliang Qian

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

[3538] arXiv:2210.02716 (cross-list from cs.SC) [pdf, other]

Title: Computing groups of Hecke characters

Pascal Molin, Aurel Page

Journal-ref: ANTS XV, Aug 2022, Bristol, United Kingdom

Subjects: Symbolic Computation (cs.SC); Number Theory (math.NT)

[3539] arXiv:2210.02726 (cross-list from physics.med-ph) [pdf, other]

Title: Parameter estimation tools for cardiovascular flow modeling of fetal circulation

Gabriella Bretti, Roberto Natalini, Annalisa Pascarella, Giancarlo Pennati, Daniele Peri, Giuseppe Pontrelli

Comments: 33 pages, 6 figures

Subjects: Medical Physics (physics.med-ph); Dynamical Systems (math.DS); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[3540] arXiv:2210.02778 (cross-list from quant-ph) [pdf, other]

Title: A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking

Masao Hirokawa

Comments: 28 pages, 8 figures. I explain what works for the spontaneous symmetry breaking and the mass enhancement instead of the Higgs potential. I add a supplementary explanation for the issue on Goldstino. I correct some typos

Subjects: Quantum Physics (quant-ph); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Functional Analysis (math.FA)

[3541] arXiv:2210.02797 (cross-list from q-bio.PE) [pdf, other]

Title: Stochastic Resonance in Climate Reddening Increases the Risk of Cyclic Ecosystem Extinction via Phase-tipping

Hassan Alkhayuon, Jessa Marley, Sebastian Wieczorek, Rebecca C. Tyson

Journal-ref: Global Change Biology 2023

Subjects: Populations and Evolution (q-bio.PE); Dynamical Systems (math.DS)

[3542] arXiv:2210.02842 (cross-list from hep-th) [pdf, other]

Title: Quintic vertices of spin 3, vector and scalar fields

P.M. Lavrov, V.I. Mudruk

Comments: 7 pages, v2: typos corrected; accepted in Phys. Lett. B, v3: published version

Journal-ref: Phys. Lett. B 837 (2023) 137630

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

[3543] arXiv:2210.02876 (cross-list from quant-ph) [pdf, html, other]

Title: Kirkwood-Dirac classical pure states

Jianwei Xu

Comments: 11 pages, 5 figures. Comments are welcome!

Journal-ref: Physics Letters A 510 (2024) 129529

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

[3544] arXiv:2210.02882 (cross-list from stat.ML) [pdf, other]

Title: Scaling up Stochastic Gradient Descent for Non-convex Optimisation

Saad Mohamad, Hamad Alamri, Abdelhamid Bouchachia

Subjects: Machine Learning (stat.ML); Distributed, Parallel, and Cluster Computing (cs.DC); Machine Learning (cs.LG); Optimization and Control (math.OC)

[3545] arXiv:2210.02905 (cross-list from cs.LG) [pdf, other]

Title: Joint Entropy Search for Multi-objective Bayesian Optimization

Ben Tu, Axel Gandy, Nikolas Kantas, Behrang Shafei

Comments: NeurIPS 2022. 49 pages. Code available at this https URL

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

[3546] arXiv:2210.02939 (cross-list from quant-ph) [pdf, html, other]

Title: Fault-tolerant Coding for Entanglement-Assisted Communication

Paula Belzig, Matthias Christandl, Alexander Müller-Hermes

Journal-ref: IEEE Transactions on Information Theory, vol. 70, no. 4, pp. 2655-2673, April 2024

Subjects: Quantum Physics (quant-ph); Information Theory (cs.IT); Mathematical Physics (math-ph)

[3547] arXiv:2210.02997 (cross-list from cs.LG) [pdf, other]

Title: Expander Graph Propagation

Andreea Deac, Marc Lackenby, Petar Veličković

Comments: Presented at LoG 2022. Best Paper Award at the NeurIPS 2022 Workshop on New Frontiers in Graph Learning (GLFrontiers). 18 pages, 1 figure

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Combinatorics (math.CO); Machine Learning (stat.ML)

[3548] arXiv:2210.03006 (cross-list from cs.DM) [pdf, other]

Title: Random Max-CSPs Inherit Algorithmic Hardness from Spin Glasses

Chris Jones, Kunal Marwaha, Juspreet Singh Sandhu, Jonathan Shi

Comments: 41 pages, 1 table

Journal-ref: 14th Innovations in Theoretical Computer Science Conference (ITCS 2023); Article No. 77

Subjects: Discrete Mathematics (cs.DM); Mathematical Physics (math-ph); Probability (math.PR)

[3549] arXiv:2210.03030 (cross-list from quant-ph) [pdf, other]

Title: Learning many-body Hamiltonians with Heisenberg-limited scaling

Hsin-Yuan Huang, Yu Tong, Di Fang, Yuan Su

Comments: 11 pages, 1 figure + 27-page appendix

Subjects: Quantum Physics (quant-ph); Information Theory (cs.IT); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[3550] arXiv:2210.03038 (cross-list from quant-ph) [pdf, other]

Title: Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models

Zhao Zhang, Israel Klich

Journal-ref: SciPost Phys. 15, 044 (2023)

Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Lattice (hep-lat); Mathematical Physics (math-ph)