Mathematics

Authors and titles for May 2022

[3601] arXiv:2205.11353 (cross-list from cs.CG) [pdf, other]

Title: Gaussian Persistence Curves

Yu-Min Chung, Michael Hull, Austin Lawson, Neil Pritchard

Comments: 19 pages

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

[3602] arXiv:2205.11359 (cross-list from cs.LG) [pdf, html, other]

Title: Towards Size-Independent Generalization Bounds for Deep Operator Nets

Pulkit Gopalani, Sayar Karmakar, Dibyakanti Kumar, Anirbit Mukherjee

Comments: 33 pages, 7 figures; Published in TMLR, December 2024

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

[3603] arXiv:2205.11361 (cross-list from stat.ML) [pdf, other]

Title: Chaotic Regularization and Heavy-Tailed Limits for Deterministic Gradient Descent

Soon Hoe Lim, Yijun Wan, Umut Şimşekli

Comments: 24 pages, accepted at NeurIPS 2022

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

[3604] arXiv:2205.11375 (cross-list from cs.LG) [pdf, other]

Title: Exploring the limits of multifunctionality across different reservoir computers

Andrew Flynn, Oliver Heilmann, Daniel Köglmayr, Vassilios A. Tsachouridis, Christoph Räth, Andreas Amann

Comments: Accepted for publication in the proceedings of the 2022 International Joint Conference on Neural Networks (IJCNN 2022)

Subjects: Machine Learning (cs.LG); Neural and Evolutionary Computing (cs.NE); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD)

[3605] arXiv:2205.11391 (cross-list from gr-qc) [pdf, other]

Title: The codimension 2 null cut locus with applications to spacetime topology

Gregory J. Galloway, Eric Ling

Comments: 24 pages, 1 figure. v2 accepted to JMP

Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[3606] arXiv:2205.11393 (cross-list from cs.LG) [pdf, other]

Title: Generic bounds on the approximation error for physics-informed (and) operator learning

Tim De Ryck, Siddhartha Mishra

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

[3607] arXiv:2205.11396 (cross-list from physics.comp-ph) [pdf, other]

Title: Cross-mode Stabilized Stochastic Shallow Water Systems Using Stochastic Finite Element Methods

Chen Chen, Clint Dawson, Eirik Valseth

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

[3608] arXiv:2205.11404 (cross-list from cs.LG) [pdf, other]

Title: Variable-Input Deep Operator Networks

Michael Prasthofer, Tim De Ryck, Siddhartha Mishra

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

[3609] arXiv:2205.11470 (cross-list from cs.LG) [pdf, other]

Title: Exploiting the Curvature of Feasible Sets for Faster Projection-Free Online Learning

Zakaria Mhammedi

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

[3610] arXiv:2205.11483 (cross-list from cs.LG) [pdf, other]

Title: Learning differential equations from data

K. D. Olumoyin

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

[3611] arXiv:2205.11507 (cross-list from cs.LG) [pdf, other]

Title: Computationally Efficient Horizon-Free Reinforcement Learning for Linear Mixture MDPs

Dongruo Zhou, Quanquan Gu

Comments: 33 pages, 1 table

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

[3612] arXiv:2205.11508 (cross-list from cs.LG) [pdf, other]

Title: Contrastive and Non-Contrastive Self-Supervised Learning Recover Global and Local Spectral Embedding Methods

Randall Balestriero, Yann LeCun

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Computer Vision and Pattern Recognition (cs.CV); Spectral Theory (math.SP); Machine Learning (stat.ML)

[3613] arXiv:2205.11510 (cross-list from quant-ph) [pdf, other]

Title: Conditional probability framework for entanglement and its decoupling from tensor product structure

Irina Basieva, Andrei Khrennikov

Journal-ref: Journal of Physics A: Mathematical and Theoretical, 55 395302, 2022

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

[3614] arXiv:2205.11520 (cross-list from hep-lat) [pdf, other]

Title: Counting-Based Effective Dimension and Discrete Regularizations

Ivan Horváth, Peter Markoš, Robert Mendris

Comments: 5 pages, 1 figure; v2: published version

Journal-ref: Entropy 25(3), 2023, 482

Subjects: High Energy Physics - Lattice (hep-lat); Disordered Systems and Neural Networks (cond-mat.dis-nn); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[3615] arXiv:2205.11543 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: On Bayesian Mechanics: A Physics of and by Beliefs

Maxwell J. D. Ramstead, Dalton A. R. Sakthivadivel, Conor Heins, Magnus Koudahl, Beren Millidge, Lancelot Da Costa, Brennan Klein, Karl J. Friston

Comments: 50+7 pages, six figures. Invited contribution to "Making and Breaking Symmetries in Mind and Life," a special issue of the journal Royal Society Interface. First two authors have contributed equally

Journal-ref: Interface Focus, 13(3), 2023

Subjects: Statistical Mechanics (cond-mat.stat-mech); Dynamical Systems (math.DS); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph)

[3616] arXiv:2205.11550 (cross-list from hep-th) [pdf, other]

Title: Principal and complementary series representations at the late-time boundary of de Sitter

Gizem Sengor, Constantinos Skordis

Comments: Prepared as part of the proceedings of the 14th International Workshop on Lie Theory and Its Applications in Physics

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

[3617] arXiv:2205.11585 (cross-list from eess.SY) [pdf, other]

Title: An intelligent controller for underactuated mechanical systems

Josiane Maria de Macedo Fernande, Marcelo Costa Tanaka, Wallace Moreira Bessa, Edwin Kreuzer

Comments: References added. This is a slightly expanded version of the work originally presented at DINAME 2017 - 17th International Symposium on Dynamic Problems of Mechanics, 2017, São Sebastião, Brazil

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

[3618] arXiv:2205.11594 (cross-list from eess.SY) [pdf, other]

Title: A framework for the development of intelligent mechanical systems

Wallace M. Bessa

Comments: References added

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

[3619] arXiv:2205.11609 (cross-list from eess.SY) [pdf, other]

Title: A fuzzy feedback linearization scheme applied to vibration control of a smart structure

Roberta Varela de Albuquerque Herôncio, João Deodato Batista dos Santos, Wallace Moreira Bessa, Aline Souza de Paula, Marcelo Amorim Savi

Comments: References added. This is a slightly updated version of the work presented at CONEM 2014 - VIII Congresso Nacional de Engenharia Mecânica, 2014, Uberlândia

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

[3620] arXiv:2205.11638 (cross-list from cs.LG) [pdf, other]

Title: DOGE-Train: Discrete Optimization on GPU with End-to-end Training

Ahmed Abbas, Paul Swoboda

Comments: AAAI 2024. Alert before printing: pg. 16-20 only contain per instance results, can possibly be skipped

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

[3621] arXiv:2205.11639 (cross-list from gr-qc) [pdf, other]

Title: Generic Naked Singularities in Vaidya Spacetimes

James Wheeler

Comments: 10 pages, 1 figure

Journal-ref: Class. Quantum Grav. 39 197001 (2022)

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

[3622] arXiv:2205.11641 (cross-list from eess.SY) [pdf, other]

Title: Machine Learning for Electricity Market Clearing

Laurent Pagnier, Robert Ferrando, Yury Dvorkin, Michael Chertkov

Comments: Accepted for presentation in 11th Bulk Power Systems Dynamics Sympsium (IREP 2022), July 25-30, 2022, Banff, Canada

Journal-ref: Proceedings of the 11th Bulk Power Systems Dynamics and Control Symposium (IREP 2022), July 25-30, 2022, Banff, Canada

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

[3623] arXiv:2205.11649 (cross-list from eess.SP) [pdf, other]

Title: A Variational Bayesian Perspective on Massive MIMO Detection

Duy H. N. Nguyen, Italo Atzeni, Antti Tölli, A. Lee Swindlehurst

Comments: 14 pages, submitted for publication

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

[3624] arXiv:2205.11671 (cross-list from gr-qc) [pdf, other]

Title: On the initial value problem for semiclassical gravity without and with quantum state collapses

Benito A. Juárez-Aubry, Bernard S. Kay, Tonatiuh Miramontes, Daniel Sudarsky

Comments: 47 pages. Corrections implemented, notably Def 11 (preliminary surface Hadamard condition) and certain equations on p. 33. Explanations improved and typos fixed. This version corresponds largely to the published version in JCAP

Journal-ref: JCAP 01 (2023), 040

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

[3625] arXiv:2205.11677 (cross-list from stat.ML) [pdf, html, other]

Title: Semi-Supervised Clustering of Sparse Graphs: Crossing the Information-Theoretic Threshold

Junda Sheng, Thomas Strohmer

Comments: 44 pages, 8 figures

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

[3626] arXiv:2205.11715 (cross-list from gr-qc) [pdf, other]

Title: Twisted Self-Similarity and the Einstein Vacuum Equations

Yakov Shlapentokh-Rothman

Comments: 45 pages, 5 figures, final version

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

[3627] arXiv:2205.11716 (cross-list from cs.LG) [pdf, other]

Title: Randomly Initialized One-Layer Neural Networks Make Data Linearly Separable

Promit Ghosal, Srinath Mahankali, Yihang Sun

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

[3628] arXiv:2205.11786 (cross-list from cs.LG) [pdf, other]

Title: Transition to Linearity of General Neural Networks with Directed Acyclic Graph Architecture

Libin Zhu, Chaoyue Liu, Mikhail Belkin

Comments: NeurIPS 2022

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

[3629] arXiv:2205.11787 (cross-list from cs.LG) [pdf, html, other]

Title: Quadratic models for understanding catapult dynamics of neural networks

Libin Zhu, Chaoyue Liu, Adityanarayanan Radhakrishnan, Mikhail Belkin

Comments: accepted in ICLR 2024; changed the title

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

[3630] arXiv:2205.11814 (cross-list from cs.LG) [pdf, other]

Title: Penalized Proximal Policy Optimization for Safe Reinforcement Learning

Linrui Zhang, Li Shen, Long Yang, Shixiang Chen, Bo Yuan, Xueqian Wang, Dacheng Tao

Comments: IJCAI2022

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

[3631] arXiv:2205.11834 (cross-list from q-fin.PR) [pdf, other]

Title: Handling model risk with XVAs

Cyril Bénézet (LaMME, ENSIIE), Stéphane Crépey (LPSM (UMR\_8001), UPCité)

Subjects: Pricing of Securities (q-fin.PR); Probability (math.PR); Computational Finance (q-fin.CP)

[3632] arXiv:2205.11835 (cross-list from stat.ME) [pdf, other]

Title: Robust and Sparse Multinomial Regression in High Dimensions

Fatma Sevinç Kurnaz, Peter Filzmoser

Comments: 26 pages, 11 figures, 3 tables

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

[3633] arXiv:2205.11859 (cross-list from eess.SY) [pdf, other]

Title: Stability in data-driven MPC: an inherent robustness perspective

Julian Berberich, Johannes Köhler, Matthias A. Müller, Frank Allgöwer

Comments: Final version, accepted for presentation at the 61st IEEE Conference on Decision and Control 2022. This version contains the full proof of Theorem IV.1

Journal-ref: in Proc. Conference on Decision and Control, 2022, pp. 1105-1110

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

[3634] arXiv:2205.11863 (cross-list from cs.CL) [pdf, other]

Title: Overview of STEM Science as Process, Method, Material, and Data Named Entities

Jennifer D'Souza

Comments: 9 pages, 17 figures, In Review submission at Queer in AI @ NAACL 2022 Research Symposia (this https URL)

Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI); Information Theory (cs.IT)

[3635] arXiv:2205.11890 (cross-list from stat.ML) [pdf, other]

Title: A Quadrature Rule combining Control Variates and Adaptive Importance Sampling

Rémi Leluc, François Portier, Johan Segers, Aigerim Zhuman

Journal-ref: Advances in Neural Information Processing Systems (NeurIPS), 2022

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

[3636] arXiv:2205.11921 (cross-list from cs.LG) [pdf, other]

Title: Compression-aware Training of Neural Networks using Frank-Wolfe

Max Zimmer, Christoph Spiegel, Sebastian Pokutta

Comments: 8 pages, 5 pages references, 14 pages appendix, 8 figures, and 11 tables

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

[3637] arXiv:2205.11929 (cross-list from astro-ph.CO) [pdf, other]

Title: After the Dark Ages

Jürg Fröhlich

Comments: 17 pages (including bibliography), no figures

Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); Mathematical Physics (math-ph)

[3638] arXiv:2205.11953 (cross-list from econ.EM) [pdf, other]

Title: Subgeometrically ergodic autoregressions with autoregressive conditional heteroskedasticity

Mika Meitz, Pentti Saikkonen

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

[3639] arXiv:2205.11984 (cross-list from quant-ph) [pdf, other]

Title: The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras

Arturas Acus, Adolfas Dargys

Comments: 9 pages

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

[3640] arXiv:2205.11991 (cross-list from cs.LG) [pdf, other]

Title: Learning Stabilizing Policies in Stochastic Control Systems

Đorđe Žikelić, Mathias Lechner, Krishnendu Chatterjee, Thomas A. Henzinger

Comments: ICLR 2022 Workshop on Socially Responsible Machine Learning (SRML)

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

[3641] arXiv:2205.12021 (cross-list from cs.LG) [pdf, other]

Title: PatchNR: Learning from Very Few Images by Patch Normalizing Flow Regularization

Fabian Altekrüger, Alexander Denker, Paul Hagemann, Johannes Hertrich, Peter Maass, Gabriele Steidl

Journal-ref: Inverse Problems, Volume 39, Number 6, 2023

Subjects: Machine Learning (cs.LG); Image and Video Processing (eess.IV); Probability (math.PR)

[3642] arXiv:2205.12027 (cross-list from cs.GT) [pdf, other]

Title: Generalized Multi-cluster Game under Partial-decision Information with Applications to Management of Energy Internet

Yue Chen, Peng Yi

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

[3643] arXiv:2205.12073 (cross-list from eess.SP) [pdf, other]

Title: Edge Semantic Cognitive Intelligence for 6G Networks: Novel Theoretical Models, Enabling Framework, and Typical Applications

Peihao Dong, Qihui Wu, Xiaofei Zhang, Guoru Ding

Comments: 9 pages, 7 figures, accepted by China Communications as an invited paper

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

[3644] arXiv:2205.12125 (cross-list from cs.SI) [pdf, other]

Title: Inference of a Rumor's Source in the Independent Cascade Model

Petra Berenbrink, Max Hahn-Klimroth, Dominik Kaaser, Lena Krieg, Malin Rau

Subjects: Social and Information Networks (cs.SI); Information Theory (cs.IT); Machine Learning (cs.LG)

[3645] arXiv:2205.12158 (cross-list from eess.IV) [pdf, other]

Title: D$^\text{2}$UF: Deep Coded Aperture Design and Unrolling Algorithm for Compressive Spectral Image Fusion

Roman Jacome, Jorge Bacca, Henry Arguello

Comments: 12 pages, 11 figures

Subjects: Image and Video Processing (eess.IV); Machine Learning (cs.LG); Optimization and Control (math.OC)

[3646] arXiv:2205.12165 (cross-list from quant-ph) [pdf, other]

Title: Solving Larger Maximum Clique Problems Using Parallel Quantum Annealing

Elijah Pelofske, Georg Hahn, Hristo N. Djidjev

Subjects: Quantum Physics (quant-ph); Emerging Technologies (cs.ET); Combinatorics (math.CO)

[3647] arXiv:2205.12184 (cross-list from cs.LG) [pdf, other]

Title: Distributional Hamilton-Jacobi-Bellman Equations for Continuous-Time Reinforcement Learning

Harley Wiltzer, David Meger, Marc G. Bellemare

Comments: Proceedings of the 39th International Conference on Machine Learning, Baltimore, Maryland, USA, PMLR 162, 2022

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

[3648] arXiv:2205.12207 (cross-list from eess.SP) [pdf, other]

Title: Rate-Splitting Multiple Access and its Interplay with Intelligent Reflecting Surfaces

Arthur S. de Sena, Pedro H. J. Nardelli, Daniel B. da Costa, Petar Popovski, Constantinos B. Papadias

Comments: IEEE Communications Magazine, May 2022

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

[3649] arXiv:2205.12238 (cross-list from hep-th) [pdf, other]

Title: Differential Expansion for antiparallel triple pretzels: the way the factorization is deformed

A. Morozov, N. Tselousov

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

[3650] arXiv:2205.12239 (cross-list from cs.LG) [pdf, other]

Title: Gacs-Korner Common Information Variational Autoencoder

Michael Kleinman, Alessandro Achille, Stefano Soatto, Jonathan Kao

Comments: Accepted to NeurIPS 2023

Subjects: Machine Learning (cs.LG); Computer Vision and Pattern Recognition (cs.CV); Information Theory (cs.IT)