Mathematics

Authors and titles for April 2022

[3251] arXiv:2204.09858 (cross-list from hep-th) [pdf, other]

Title: Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories

Leslaw Rachwal

Comments: 30 pages, contribution to the the Special Issue: Alternative Gravities and Fundamental Cosmology

Journal-ref: Universe 8 , no. 4, 229 (2022)

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

[3252] arXiv:2204.09891 (cross-list from gr-qc) [pdf, other]

Title: Naked Singularities for the Einstein Vacuum Equations: The Interior Solution

Yakov Shlapentokh-Rothman

Comments: 166 pages, 5 figures

Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[3253] arXiv:2204.09938 (cross-list from stat.ML) [pdf, html, other]

Title: Ultra-marginal Feature Importance: Learning from Data with Causal Guarantees

Joseph Janssen, Vincent Guan, Elina Robeva

Journal-ref: In International conference on artificial intelligence and statistics (pp. 10782-10814). PMLR 2023

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

[3254] arXiv:2204.09943 (cross-list from gr-qc) [pdf, other]

Title: A novel formulation for the evolution of relativistic rotating stars

Hirotada Okawa, Kotaro Fujisawa, Nobutoshi Yasutake, Misa Ogata, Yu Yamamoto, Shoichi Yamada

Comments: 19 pages, 13 figures

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

[3255] arXiv:2204.09963 (cross-list from quant-ph) [pdf, other]

Title: A Fisher information-based incompatibility criterion for quantum channels

Qing-Hua Zhang, Ion Nechita

Comments: 16 pages, 2 figures

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

[3256] arXiv:2204.10066 (cross-list from nlin.CD) [pdf, other]

Title: Sensitivity analysis of chaotic systems using a frequency-domain shadowing approach

Kyriakos D. Kantarakias, George Papadakis

Subjects: Chaotic Dynamics (nlin.CD); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[3257] arXiv:2204.10103 (cross-list from q-fin.MF) [pdf, other]

Title: Short-time asymptotics for non self-similar stochastic volatility models

Giacomo Giorgio, Barbara Pacchiarotti, Paolo Pigato

Comments: 25 pages, 4 figures

Subjects: Mathematical Finance (q-fin.MF); Probability (math.PR)

[3258] arXiv:2204.10179 (cross-list from cs.NI) [pdf, other]

Title: Distributed Learning for Vehicular Dynamic Spectrum Access in Autonomous Driving

Pawe\{l} Sroka, Adrian Kliks

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

[3259] arXiv:2204.10241 (cross-list from cs.GT) [pdf, other]

Title: On Nash-Solvability of Finite Two-Person Tight Vector Game Forms

Vladimir Gurvich, Mariya Naumova

Comments: arXiv admin note: text overlap with arXiv:2108.05469

Subjects: Computer Science and Game Theory (cs.GT); Combinatorics (math.CO)

[3260] arXiv:2204.10248 (cross-list from quant-ph) [pdf, other]

Title: Hearing the shape of a quantum boundary condition

Giuliano Angelone, Paolo Facchi, Giuseppe Marmo

Comments: 15 pages, 3 figures

Journal-ref: Modern Physics Letters A 37, 2250114 (2022)

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

[3261] arXiv:2204.10291 (cross-list from stat.ME) [pdf, html, other]

Title: Structural Nested Mean Models Under Parallel Trends Assumptions

Zach Shahn, Oliver Dukes, Meghana Shamsunder, David Richardson, Eric Tchetgen Tchetgen, James Robins

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

[3262] arXiv:2204.10306 (cross-list from quant-ph) [pdf, other]

Title: Performance and limitations of the QAOA at constant levels on large sparse hypergraphs and spin glass models

Joao Basso, David Gamarnik, Song Mei, Leo Zhou

Comments: 13+47 pages, updated introduction

Journal-ref: Proceedings of FOCS 2022, pp. 335-343

Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS); Mathematical Physics (math-ph)

[3263] arXiv:2204.10334 (cross-list from hep-th) [pdf, other]

Title: Machine Learning Algebraic Geometry for Physics

Jiakang Bao, Yang-Hui He, Elli Heyes, Edward Hirst

Comments: 32 pages, 25 figures. Contribution to Machine learning and Algebraic Geometry, edited by A. Kasprzyk et al

Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Machine Learning (stat.ML)

[3264] arXiv:2204.10345 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Metastates and Replica Symmetry Breaking

C.M. Newman, N. Read, D.L. Stein

Comments: 25 pages

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

[3265] arXiv:2204.10353 (cross-list from physics.ao-ph) [pdf, other]

Title: Invariants and chaos in the Volterra gyrostat without energy conservation

Ashwin K Seshadri, S Lakshmivarahan

Subjects: Atmospheric and Oceanic Physics (physics.ao-ph); Dynamical Systems (math.DS)

[3266] arXiv:2204.10366 (cross-list from hep-th) [pdf, other]

Title: Flops of any length, Gopakumar-Vafa invariants, and 5d Higgs Branches

Andrés Collinucci, Mario De Marco, Andrea Sangiovanni, Roberto Valandro

Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)

[3267] arXiv:2204.10385 (cross-list from cs.CG) [pdf, other]

Title: Lattice and Non-lattice Piercing of Axis-Parallel Rectangles: Exact Algorithms and a Separation Result

Adrian Dumitrescu, Josef Tkadlec

Comments: 26 pages, 13 figures

Subjects: Computational Geometry (cs.CG); Combinatorics (math.CO)

[3268] arXiv:2204.10406 (cross-list from eess.SP) [pdf, other]

Title: Performance Analysis of Automotive SAR With Radar Based Motion Estimation

Oded Bialer, Tom Tirer

Subjects: Signal Processing (eess.SP); Numerical Analysis (math.NA)

[3269] arXiv:2204.10413 (cross-list from cs.LG) [pdf, other]

Title: Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds

Juan M. Bello-Rivas, Anastasia Georgiou, John Guckenheimer, Ioannis G. Kevrekidis

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

[3270] arXiv:2204.10433 (cross-list from nlin.PS) [pdf, other]

Title: Solitons in media with mixed, high-order dispersion and cubic nonlinearity

Y. Long Qiang, Tristram J. Alexander, C. Martijn de Sterke

Comments: 23 pages, 8 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph)

[3271] arXiv:2204.10450 (cross-list from quant-ph) [pdf, other]

Title: Quadratic pseudospectrum for identifying localized states

Alexander Cerjan, Terry A. Loring, Fredy Vides

Comments: 20 pages, 9 figures

Journal-ref: Journal of Mathematical Physics 64, 023501 (2023)

Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); Functional Analysis (math.FA); Optics (physics.optics)

[3272] arXiv:2204.10494 (cross-list from cs.DM) [pdf, other]

Title: Lengths of Cycles in Generalized Pancake Graphs

Saúl A. Blanco, Charles Buehrle

Comments: Corrected typos. Final version to appear in Discrete Mathematics

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

[3273] arXiv:2204.10495 (cross-list from econ.EM) [pdf, other]

Title: Adversarial Estimators

Jonas Metzger

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

[3274] arXiv:2204.10508 (cross-list from stat.ME) [pdf, html, other]

Title: Identification enhanced generalised linear model estimation with nonignorable missing outcomes

Kenji Beppu, Jinung Choi, Kosuke Morikawa, Jongho Im

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

[3275] arXiv:2204.10526 (cross-list from cs.CC) [pdf, other]

Title: A survey on the parameterized complexity of the independent set and (connected) dominating set reconfiguration problems

Nicolas Bousquet, Amer E. Mouawad, Naomi Nishimura, Sebastian Siebertz

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

[3276] arXiv:2204.10545 (cross-list from physics.flu-dyn) [pdf, other]

Title: A consistent co-rotational formulation for aerodynamic nonlinear analysis of flexible frame structures

Mauricio C. Vanzulli, Jorge M. Pérez Zerpa

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

[3277] arXiv:2204.10579 (cross-list from cs.LG) [pdf, other]

Title: Lossy compression of matrices by black-box optimisation of mixed integer nonlinear programming

Tadashi Kadowaki, Mitsuru Ambai

Comments: 11 pages, 7 figures

Journal-ref: Sci Rep 12, 15482 (2022)

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

[3278] arXiv:2204.10588 (cross-list from cs.CV) [pdf, other]

Title: A Note on the Regularity of Images Generated by Convolutional Neural Networks

Andreas Habring, Martin Holler

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

[3279] arXiv:2204.10601 (cross-list from hep-th) [pdf, other]

Title: Generalized Rogers Ramanujan Expressions for Some Non--Singlet Twisted Affine Algebras

Doron Gepner

Comments: 7 pages, no figures

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

[3280] arXiv:2204.10626 (cross-list from quant-ph) [pdf, other]

Title: Log-Sobolev inequality and proof of Hypothesis of the Gaussian Maximizers for the capacity of quantum noisy homodyning

A. S. Holevo

Comments: 22 pages, one figure, section with alternative proof is added

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

[3281] arXiv:2204.10627 (cross-list from gr-qc) [pdf, other]

Title: Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field

Tolga Birkandan

Comments: 14 pages, 8 figures. Matches the published version

Journal-ref: Gen Relativ Gravit 55, 88 (2023)

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

[3282] arXiv:2204.10632 (cross-list from nlin.SI) [pdf, other]

Title: St\"{a}ckel representations of stationary KdV systems

Maciej Błaszak, Błażej M. Szablikowski, Krzysztof Marciniak

Comments: 18 pagages

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

[3283] arXiv:2204.10692 (cross-list from q-fin.MF) [pdf, other]

Title: Constructing Trinomial Models Based on Cubature Method on Wiener Space: Applications to Pricing Financial Derivatives

Hossein Nohrouzian, Anatoliy Malyarenko, Ying Ni

Comments: 20 pages, 7 figures, 6 tables

Subjects: Mathematical Finance (q-fin.MF); Probability (math.PR)

[3284] arXiv:2204.10694 (cross-list from quant-ph) [pdf, other]

Title: A Multigraph Approach for Performing the Quantum Schur Transform

Edward Pearce-Crump

Comments: 20 pages

Subjects: Quantum Physics (quant-ph); Discrete Mathematics (cs.DM); Combinatorics (math.CO); Representation Theory (math.RT)

[3285] arXiv:2204.10735 (cross-list from nlin.AO) [pdf, other]

Title: The folding of art: avoiding one's past in finite space

Anders Levermann

Comments: 4 pages, 4 figures, 2 figures and 1 animation in supplementary material

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Dynamical Systems (math.DS); Physics and Society (physics.soc-ph)

[3286] arXiv:2204.10782 (cross-list from cs.LG) [pdf, other]

Title: On Feature Learning in Neural Networks with Global Convergence Guarantees

Zhengdao Chen, Eric Vanden-Eijnden, Joan Bruna

Comments: Accepted by the 10th International Conference on Learning Representations (ICLR 2022)

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

[3287] arXiv:2204.10793 (cross-list from stat.CO) [pdf, other]

Title: Optimal Scaling for the Proximal Langevin Algorithm in High Dimensions

Natesh S. Pillai

Comments: 23 pages. arXiv admin note: substantial text overlap with arXiv:1103.0542

Subjects: Computation (stat.CO); Probability (math.PR); Methodology (stat.ME); Machine Learning (stat.ML)

[3288] arXiv:2204.10818 (cross-list from cs.LG) [pdf, other]

Title: Convergence of the Riemannian Langevin Algorithm

Khashayar Gatmiry, Santosh S. Vempala

Subjects: Machine Learning (cs.LG); Differential Geometry (math.DG); Probability (math.PR)

[3289] arXiv:2204.10831 (cross-list from cs.CG) [pdf, other]

Title: A note on graph drawings with star-shaped boundaries in the plane

Yanwen Luo

Comments: 12 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1910.03070

Subjects: Computational Geometry (cs.CG); General Topology (math.GN)

[3290] arXiv:2204.10852 (cross-list from stat.ME) [pdf, other]

Title: A Generalization of Ripley's K Function for the Detection of Spatial Clustering in Areal Data

Stella Self, Anna Overby, Anja Zgodic, David White, Alexander McLain, Caitlin Dyckman

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

[3291] arXiv:2204.10945 (cross-list from cs.RO) [pdf, other]

Title: Noncooperative Herding With Control Barrier Functions: Theory and Experiments

Jaskaran Grover, Nishant Mohanty, Wenhao Luo, Changliu Liu, Katia Sycara

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

[3292] arXiv:2204.10964 (cross-list from stat.AP) [pdf, other]

Title: Statistical inference of travelers' route choice preferences with system-level data

Pablo Guarda, Sean Qian

Comments: 69 pages, 22 figures

Subjects: Applications (stat.AP); Machine Learning (cs.LG); Optimization and Control (math.OC); Physics and Society (physics.soc-ph)

[3293] arXiv:2204.10975 (cross-list from stat.ML) [pdf, other]

Title: Spherical Rotation Dimension Reduction with Geometric Loss Functions

Hengrui Luo, Jeremy E. Purvis, Didong Li

Comments: 60 pages

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

[3294] arXiv:2204.11060 (cross-list from cs.LG) [pdf, other]

Title: Dimension Reduction for time series with Variational AutoEncoders

William Todo, Beatrice Laurent, Jean-Michel Loubes, Merwann Selmani

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

[3295] arXiv:2204.11069 (cross-list from q-fin.TR) [pdf, other]

Title: Kyle's Model with Stochastic Liquidity

Ibrahim Ekren, Brad Mostowski, Gordan Žitković

Subjects: Trading and Market Microstructure (q-fin.TR); Probability (math.PR); Pricing of Securities (q-fin.PR)

[3296] arXiv:2204.11071 (cross-list from eess.SP) [pdf, other]

Title: Intelligent Reflecting Surface Enabled Sensing: Cram\'er-Rao Lower Bound Optimization

Xianxin Song, Jie Xu, Fan Liu, Tony Xiao Han, Yonina C. Eldar

Comments: To be appear in 2022 IEEE Globecom Workshop; 6 pages, 3 figures

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

[3297] arXiv:2204.11080 (cross-list from cs.CG) [pdf, other]

Title: Fast Computation of Zigzag Persistence

Tamal K. Dey, Tao Hou

Comments: arXiv admin note: substantial text overlap with arXiv:2110.06315

Subjects: Computational Geometry (cs.CG); Algebraic Topology (math.AT)

[3298] arXiv:2204.11139 (cross-list from cs.SD) [pdf, other]

Title: Musical Stylistic Analysis: A Study of Intervallic Transition Graphs via Persistent Homology

Martín Mijangos, Alessandro Bravetti, Pablo Padilla

Subjects: Sound (cs.SD); Audio and Speech Processing (eess.AS); Algebraic Topology (math.AT)

[3299] arXiv:2204.11144 (cross-list from cs.LG) [pdf, other]

Title: Competitive Physics Informed Networks

Qi Zeng, Yash Kothari, Spencer H. Bryngelson, Florian Schäfer

Journal-ref: ICLR (2023); https://openreview.net/forum?id=z9SIj-IM7tn

Subjects: Machine Learning (cs.LG); Multiagent Systems (cs.MA); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[3300] arXiv:2204.11153 (cross-list from quant-ph) [pdf, other]

Title: Chain rules for quantum channels

Mario Berta, Marco Tomamichel

Comments: v2: 6 pages, technical note, will appear at IEEE International Symposium on Information Theory 2022, final version with updated references

Journal-ref: IEEE International Symposium on Information Theory 2022

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