Mathematics

Authors and titles for April 2022

[3101] arXiv:2204.05732 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Invariant subspaces and explicit Bethe vectors in the integrable open spin $1/2$ $\XYZ$ chain

Xin Zhang, Andreas Klümper, Vladislav Popkov

Comments: 18 pages, 4 figures

Journal-ref: Phys. Rev. B 106, 075406 (2022)

Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[3102] arXiv:2204.05765 (cross-list from cs.LG) [pdf, other]

Title: Membership-Mappings for Practical Secure Distributed Deep Learning

Mohit Kumar, Weiping Zhang, Lukas Fischer, Bernhard Freudenthaler

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Functional Analysis (math.FA)

[3103] arXiv:2204.05827 (cross-list from stat.ME) [pdf, other]

Title: Correction of overfitting bias in regression models

Emanuele Massa, Marianne Jonker, Kit Roes, Anthony Coolen

Comments: 6 figures, 38 pages including appendices

Subjects: Methodology (stat.ME); Statistics Theory (math.ST); Data Analysis, Statistics and Probability (physics.data-an)

[3104] arXiv:2204.05940 (cross-list from quant-ph) [pdf, other]

Title: Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states

Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio, Norbert Schuch, J. Ignacio Cirac, David Pérez-García

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

[3105] arXiv:2204.05952 (cross-list from econ.EM) [pdf, other]

Title: Retrieval from Mixed Sampling Frequency: Generic Identifiability in the Unit Root VAR

Philipp Gersing, Leopold Soegner, Manfred Deistler

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

[3106] arXiv:2204.05955 (cross-list from quant-ph) [pdf, other]

Title: Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices

Yulong Dong, Lin Lin, Yu Tong

Journal-ref: PRX Quantum 3, 040305 (2022)

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

[3107] arXiv:2204.05973 (cross-list from hep-th) [pdf, other]

Title: Complete nonlinear action for supersymmetric multiple D$0$-brane system

Igor Bandos, Unai D.M. Sarraga

Comments: 5 pages, revtex4. V2: Appendices added, 11 pages

Journal-ref: Phys.Rev. D106 (2022) N6, 066004-(1-11)

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

[3108] arXiv:2204.05977 (cross-list from hep-th) [pdf, other]

Title: Evolution properties of the knot's defect

A.Morozov, N. Tselousov

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Geometric Topology (math.GT)

[3109] arXiv:2204.05997 (cross-list from gr-qc) [pdf, other]

Title: Geometric post-Newtonian description of spin-half particles in curved spacetime

Ashkan Alibabaei

Comments: Master's thesis, 8+77 pages, 3 figures. v2: corrected typos, updated discussion in chapter 5, removed double references. v3: corrected further typos

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

[3110] arXiv:2204.06072 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Analytic continuation over complex landscapes

Jaron Kent-Dobias, Jorge Kurchan

Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn); Mathematical Physics (math-ph)

[3111] arXiv:2204.06073 (cross-list from hep-th) [pdf, other]

Title: Edge observables of the Maxwell-Chern-Simons theory

J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, Eduardo J.S. Villaseñor

Comments: 23 pages

Journal-ref: Physical Review D, 106 (2022) 025011

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

[3112] arXiv:2204.06087 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Clusters determine local fluctuations of random walks on graphs

M. Bruderer

Comments: 7 pages, 3 figures

Subjects: Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR); Data Analysis, Statistics and Probability (physics.data-an)

[3113] arXiv:2204.06104 (cross-list from eess.SY) [pdf, other]

Title: A Tutorial on Solution Properties of State Space Models of Dynamical Systems

Bassam Bamieh

Subjects: Systems and Control (eess.SY); Dynamical Systems (math.DS); Functional Analysis (math.FA); Optimization and Control (math.OC)

[3114] arXiv:2204.06137 (cross-list from nlin.SI) [pdf, other]

Title: Lax equations for relativistic ${\rm GL}(NM,{\mathbb C})$ Gaudin models on elliptic curve

E. Trunina, A. Zotov

Comments: 31 pages

Journal-ref: 2022 J. Phys. A: Math. Theor. 55 395202

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[3115] arXiv:2204.06233 (cross-list from cs.LG) [pdf, other]

Title: Approximation of Lipschitz Functions using Deep Spline Neural Networks

Sebastian Neumayer, Alexis Goujon, Pakshal Bohra, Michael Unser

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

[3116] arXiv:2204.06236 (cross-list from physics.flu-dyn) [pdf, other]

Title: An improved numerical method for hyperbolic Lagrangian Coherent Structures using Differential Algebra

Jack Tyler, Alexander Wittig

Comments: Updates preprint to incorporate reviewer feedback. Main argument and results unchanged. Submitted to Journal of Computational Sciences. LaTeX, 45 pages

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)

[3117] arXiv:2204.06255 (cross-list from cs.LG) [pdf, other]

Title: Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs

Peiyan Hu, Qi Meng, Bingguang Chen, Shiqi Gong, Yue Wang, Wei Chen, Rongchan Zhu, Zhi-Ming Ma, Tie-Yan Liu

Subjects: Machine Learning (cs.LG); Analysis of PDEs (math.AP); Computational Physics (physics.comp-ph)

[3118] arXiv:2204.06265 (cross-list from eess.SY) [pdf, other]

Title: Optimal Intermittent Particle Filter

Antoine Aspeel, Amaury Gouverneur, Raphaël M. Jungers, Benoit Macq

Comments: 13 pages, 7 figures, 3 Tables

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

[3119] arXiv:2204.06274 (cross-list from stat.ML) [pdf, other]

Title: Overparameterized Linear Regression under Adversarial Attacks

Antônio H. Ribeiro, Thomas B. Schön

Subjects: Machine Learning (stat.ML); Cryptography and Security (cs.CR); Machine Learning (cs.LG); Signal Processing (eess.SP); Statistics Theory (math.ST)

[3120] arXiv:2204.06278 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model

Eldad Bettelheim, Naftali R. Smith, Baruch Meerson

Comments: 23 pages, 6 figures

Journal-ref: J. Stat. Mech. (2022) 093103

Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Probability (math.PR); Exactly Solvable and Integrable Systems (nlin.SI)

[3121] arXiv:2204.06295 (cross-list from quant-ph) [pdf, other]

Title: Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States

Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár, David Pérez-García

Journal-ref: Lett Math Phys 114, 43 (2024)

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

[3122] arXiv:2204.06335 (cross-list from cs.NE) [pdf, other]

Title: Swarm Modelling with Dynamic Mode Decomposition

Emma Hansen, Steven L. Brunton, Zhuoyuan Song

Comments: 15 pages, 18 figures

Subjects: Neural and Evolutionary Computing (cs.NE); Robotics (cs.RO); Dynamical Systems (math.DS); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph)

[3123] arXiv:2204.06344 (cross-list from eess.SY) [pdf, other]

Title: CoDGraD: A Code-based Distributed Gradient Descent Scheme for Decentralized Convex Optimization

Elie Atallah, Nazanin Rahnavard, Qiyu Sun

Comments: 15 pages, 4 figures

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

[3124] arXiv:2204.06349 (cross-list from eess.SY) [pdf, other]

Title: Secure Formation Control via Edge Computing Enabled by Fully Homomorphic Encryption and Mixed Uniform-Logarithmic Quantization

Matteo Marcantoni, Bayu Jayawardhana, Mariano Perez Chaher, Kerstin Bunte

Journal-ref: IEEE Control Systems Letters, vol. 7, 2023, pp. 395-400

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

[3125] arXiv:2204.06357 (cross-list from cs.DS) [pdf, other]

Title: Linear Programs with Polynomial Coefficients and Applications to 1D Cellular Automata

Guy Bresler, Chenghao Guo, Yury Polyanskiy

Subjects: Data Structures and Algorithms (cs.DS); Computational Complexity (cs.CC); Formal Languages and Automata Theory (cs.FL); Information Theory (cs.IT)

[3126] arXiv:2204.06391 (cross-list from hep-th) [pdf, other]

Title: Chaotic instability in the BFSS matrix model

Osamu Fukushima, Kentaroh Yoshida

Comments: 17 pages, 11 figures, figures added, minor improvements

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD)

[3127] arXiv:2204.06424 (cross-list from hep-th) [pdf, other]

Title: Kazakov-Migdal model on the Graph and Ihara Zeta Function

So Matsuura, Kazutoshi Ohta

Comments: 33 pages, 6 figures, references added, a figure added, a comment on physical model added, typos corrected

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

[3128] arXiv:2204.06430 (cross-list from physics.comp-ph) [pdf, other]

Title: Dynamic grain models via fast heuristics for diagram representations

Andreas Alpers, Maximilian Fiedler, Peter Gritzmann, Fabian Klemm

Comments: 21 pages, 4 tables, 6 figures

Subjects: Computational Physics (physics.comp-ph); Optimization and Control (math.OC)

[3129] arXiv:2204.06448 (cross-list from hep-th) [pdf, other]

Title: $L_\infty$-algebra of braided electrodynamics

Marija Dimitrijević Ćirić, Nikola Konjik, Voja Radovanović, Richard J. Szabo, Miša Toman

Comments: 16 pages; Contribution to the Proceedings of the Workshop on "New Developments in Quantum Gravity and String Theory", Corfu Summer Institute on Elementary Particle Physics and Gravity, 29 August-9 October 2021, Corfu, Greece

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

[3130] arXiv:2204.06466 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Grand canonical ensembles of sparse networks and Bayesian inference

Ginestra Bianconi

Comments: (30 pages, 4 figures)

Journal-ref: Entropy 24, 633 (2022)

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Social and Information Networks (cs.SI); Statistics Theory (math.ST); Physics and Society (physics.soc-ph)

[3131] arXiv:2204.06471 (cross-list from cs.LG) [pdf, other]

Title: Hybrid Neural Network Augmented Physics-based Models for Nonlinear Filtering

Tales Imbiriba, Ahmet Demirkaya, Jindřich Duník, Ondřej Straka, Deniz Erdoğmuş, Pau Closas

Subjects: Machine Learning (cs.LG); Signal Processing (eess.SP); Dynamical Systems (math.DS)

[3132] arXiv:2204.06477 (cross-list from cs.LG) [pdf, other]

Title: Data-heterogeneity-aware Mixing for Decentralized Learning

Yatin Dandi, Anastasia Koloskova, Martin Jaggi, Sebastian U. Stich

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

[3133] arXiv:2204.06547 (cross-list from hep-th) [pdf, other]

Title: Snowmass White Paper: the Double Copy and its Applications

Tim Adamo, John Joseph M. Carrasco, Mariana Carrillo-González, Marco Chiodaroli, Henriette Elvang, Henrik Johansson, Donal O'Connell, Radu Roiban, Oliver Schlotterer

Comments: 53 pages + refs, 4 figures, contribution to Snowmass 2021; feedback welcome, contact: JJ Carrasco

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

[3134] arXiv:2204.06549 (cross-list from cs.GT) [pdf, other]

Title: Optimally Designing Cybersecurity Insurance Contracts to Encourage the Sharing of Medical Data

Yoon Lee, Anil Aswani

Subjects: Computer Science and Game Theory (cs.GT); Optimization and Control (math.OC)

[3135] arXiv:2204.06553 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States

Cai Dieball, Aljaž Godec

Comments: Version accepted for publication in Physical Review Research

Journal-ref: Phys. Rev. Research 4, 033243 (2022)

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

[3136] arXiv:2204.06554 (cross-list from hep-th) [pdf, other]

Title: Integrable sigma models at RG fixed points: quantisation as affine Gaudin models

Gleb A. Kotousov, Sylvain Lacroix, Jörg Teschner

Comments: References added, typos corrected, minor improvements made to the text, notably, in the presentation of section 7.1

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

[3137] arXiv:2204.06564 (cross-list from hep-th) [pdf, other]

Title: Non-Invertible Higher-Categorical Symmetries

Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki, Apoorv Tiwari

Comments: 104 pages. v2: Removed the distinction between local and global fusion to improve clarity. Added more details on the computation of fusion rules. v3: Minor improvements

Journal-ref: SciPost Phys. 14, 007 (2023)

Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Category Theory (math.CT)

[3138] arXiv:2204.06648 (cross-list from quant-ph) [pdf, other]

Title: Simplicial quantum contextuality

Cihan Okay, Aziz Kharoof, Selman Ipek

Comments: 48 pages, 15 figures

Journal-ref: Quantum 7, 1009 (2023)

Subjects: Quantum Physics (quant-ph); Algebraic Topology (math.AT)

[3139] arXiv:2204.06660 (cross-list from cs.LG) [pdf, other]

Title: Second Order Regret Bounds Against Generalized Expert Sequences under Partial Bandit Feedback

Kaan Gokcesu, Hakan Gokcesu

Comments: arXiv admin note: substantial text overlap with arXiv:2109.09212, arXiv:2009.04372

Subjects: Machine Learning (cs.LG); Information Theory (cs.IT); Signal Processing (eess.SP); Optimization and Control (math.OC); Machine Learning (stat.ML)

[3140] arXiv:2204.06761 (cross-list from cs.DS) [pdf, other]

Title: A Fixed-Parameter Algorithm for the Kneser Problem

Ishay Haviv

Comments: 24 pages

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

[3141] arXiv:2204.06856 (cross-list from hep-th) [pdf, other]

Title: A consistent approach to the path integral formalism of quantum mechanics based on the maximum length uncertainty

Souvik Pramanik

Comments: 9 pages, no figure

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

[3142] arXiv:2204.06895 (cross-list from cs.LG) [pdf, other]

Title: Gradient boosting for convex cone predict and optimize problems

Andrew Butler, Roy H. Kwon

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

[3143] arXiv:2204.06896 (cross-list from hep-th) [pdf, html, other]

Title: Tropical Mirror

Andrey Losev, Vyacheslav Lysov

Journal-ref: SIGMA 20 (2024), 072, 48 pages

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

[3144] arXiv:2204.06935 (cross-list from stat.ML) [pdf, other]

Title: Concentration of Random Feature Matrices in High-Dimensions

Zhijun Chen, Hayden Schaeffer, Rachel Ward

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Numerical Analysis (math.NA); Probability (math.PR)

[3145] arXiv:2204.06944 (cross-list from cs.DS) [pdf, other]

Title: Better-Than-$\frac{4}{3}$-Approximations for Leaf-to-Leaf Tree and Connectivity Augmentation

Federica Cecchetto, Vera Traub, Rico Zenklusen

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

[3146] arXiv:2204.06959 (cross-list from astro-ph.EP) [pdf, other]

Title: Analytic Solution for Perturbed Keplerian Motion Under Small Acceleration Using Averaging Theory

Giacomo Curzi, Dario Modenini

Comments: Article submitted for publication in Advances in Space Research

Subjects: Earth and Planetary Astrophysics (astro-ph.EP); Dynamical Systems (math.DS)

[3147] arXiv:2204.06968 (cross-list from cs.SC) [pdf, other]

Title: Shift Equivalence Testing of Polynomials and Symbolic Summation of Multivariate Rational Functions

Shaoshi Chen, Lixin Du, Hanqian Fang

Comments: 54 pages

Subjects: Symbolic Computation (cs.SC); Computational Complexity (cs.CC); Rings and Algebras (math.RA)

[3148] arXiv:2204.07003 (cross-list from cs.LO) [pdf, other]

Title: Probability monads with submonads of deterministic states - Extended version

Sean Moss, Paolo Perrone

Comments: 16 pages. Extended version of paper accepted for LICS 2022 conference

Subjects: Logic in Computer Science (cs.LO); Category Theory (math.CT); Probability (math.PR)

[3149] arXiv:2204.07031 (cross-list from gr-qc) [pdf, other]

Title: Maxwell's equations in homogeneous spaces for admissible electromagnetic fields

V.V. Obukhov

Comments: 15 p.p

Journal-ref: Universe 2022, 8, 245

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

[3150] arXiv:2204.07041 (cross-list from eess.SY) [pdf, other]

Title: Distributed Optimal Control with Recovered Robustness for Uncertain Network Systems: A Complementary Design Approach

Zhongkui Li, Junjie Jiao, Xiang Chen

Comments: 8 pages

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