Lipschitz Continuity

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9 papers in the last four weeks, up 80% on the four weeks before. 0.1% of all new papers.

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  1. Lipschitz Thinking: Ten Years of Certifiable-by-Design Robust Neural Networks

    Oct 5, 2026Fabio Brau, Giorgio Piras, Maura Pintor +1Lipschitz ContinuityLyapunov Function

    Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy

  2. Muon meets Tamed Langevin: Momentum Preconditioning beyond Convex and gradient-Lipschitz Potentials

    Oct 1, 2026Nikolaos Makras, Sotirios SabanisLangevin DynamicsLipschitz Continuity

    School of Mathematics, University of Edinburgh, UK · National Technical University of Athens, Greece · Athena/Archimedes Research Centre, Greece

  3. Smoother Flow Matching via Contrastive Trajectory Repulsion

    Oct 1, 2026Ziqi Jiang, Zhenqi He, Long ChenConditional Flow MatchingImagenet

    Department of CSE, The Hong Kong University of Science and Technology

  4. Near-Linear Accuracy Bounds for Moreau--Yosida Unadjusted Langevin Sampling

    Sep 30, 2026Yuchen Xin, Zhihua ZhangLangevin DynamicsLipschitz Continuity

    School of Mathematical Sciences, Peking University

  5. Beyond Low-Rank Parameterization: Narrowing the Gap Between LoRA and Full Fine-Tuning via Gradient Decomposition

    Sep 29, 2026Yihao Ouyang, Shiwei Li, Haozhao Wang +5Low-Rank StructureModel Fine-Tuning

    Huazhong University of Science and Technology, Wuhan, China · Hebei University of Technology, Tianjin, China

  6. The Exponential Price of Determinism in Nonsmooth Nonconvex Optimization

    Sep 20, 2026Guy KornowskiStochastic Convex OptimizationFirst Order Oracle Complexity

  7. Stable Movement for Nondual Lipschitz Convex Optimization: Efficiency and Nearly Optimal Oracle Rates

    Sep 17, 2026David Martínez-Rubio, Cristóbal GuzmánConvex OptimizationLipschitz Continuity

    IMDEA Software Institute, Madrid, Spain · Institute for Mathematical and Computational Engineering, Faculty of Mathematics and School of Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile

  8. The First-Order Oracle Complexity of Lipschitz Convex Optimization in Nondual Settings

    Sep 17, 2026David Martínez-Rubio, Brian Bullins, Cristóbal Guzmán +1Convex OptimizationLipschitz Continuity

    IMDEA Software Institute, Madrid, Spain · Purdue University, West Lafayette, IN, USA · Institute for Mathematical and Computational Engineering, Faculty of Mathematics and School of Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile +1

  9. Convergence of Stochastic Gradient Methods under Heavy-Tailed Noise and H"{o}lder Smoothness

    Sep 14, 2026Misbah Uz Zaman, Anirbit MukherjeeStochastic Gradient DescentLipschitz Continuity

    Department of Mathematics and Statistics Indian Institute of Science Education and Research Kolkata · Department of Computer Science The University of Manchester

  10. Poisson-Corrector Complexity Bounds for Moreau--Yosida Unadjusted Langevin Sampling

    Sep 14, 2026Yuchen Xin, Zhihua ZhangLangevin DynamicsLipschitz Continuity

    School of Mathematical Sciences, Peking University

  11. A Closed-Form Formula for Consistent Lipschitz Regression on Metric Spaces with Sparse Neural Network Realizations

    Sep 2, 2026Ruiyang Hong, Hrad Ghoukasian, Anastasis KratsiosLipschitz ContinuityMetric Spaces

  12. Every Layer Counts: An Exponential L2L_2 Depth Hierarchy for ReLU Networks

    Aug 24, 2026Itay SafranRectified Linear Unit NetworksRectified Linear Unit

    Stein Faculty of Computer and Information Science, Ben-Gurion University of the Negev

  13. Active-Trace Complexity Bounds for Moreau--Yosida Unadjusted Langevin Sampling

    Aug 13, 2026Yuchen Xin, Zhihua ZhangLangevin DynamicsLipschitz Continuity

    School of Mathematical Sciences, Peking University

  14. Convergence Guarantees of Gradient Descent for Neural Networks via Generalized Lipschitz Smoothness

    Aug 11, 2026Siqiao Mu, Diego KlabjanGradient DescentLipschitz Continuity

  15. Coordinating the Unknown Lipschitz Constant in Multiplayer Bandits

    Aug 11, 2026Ricardo Parada, Chenzhang Zhao, William ChangStochastic Multi-Armed BanditsLipschitz Continuity

    University of California, Riverside Riverside, CA, USA · University of California, Los Angeles Los Angeles, CA, USA

  16. On Same-Sample and Independent-Sample Stochastic Extragradient for Monotone Variational Inequalities

    Aug 6, 2026TaeHo Yoon, Nicolas LoizouMonotone Variational InequalitiesConvergence

    Department of Applied Mathematics and Statistics & Mathematical Institute for Data Science, Johns Hopkins University.

  17. A proximal subgradient method for nonconvex stochastic optimization under the Kurdyka-Łojasiewicz condition

    Aug 5, 2026Felipe Atenas, Alejandro Jofré, Pedro Pérez-Aros +1Stochastic Convex OptimizationStochastic Optimization

    Centro de Modelamiento Matem´atico (CNRS IRL2807), Universidad de Chile, Santiago, Chile · Departamento de Ingenier´ıa Matem´atica and Centro de Modelamiento Matem´atico (CNRS IRL2807), Universidad de Chile, Santiago, Chile · Department of Mathematics, University of Alicante, Alicante, Spain

  18. Sharp Root Anti-Concentration via Projective Incidence and Ordered Root Laws

    Aug 3, 2026Zijun Wang, Yuchen Miao, Yifan Hu +1Concentration Bounds\Widetilde{\Mathcal{O}}(\Sqrt{T})$ Regret

    Northeastern University, China · Beijing Jiaotong University, China · Xiangtan University, China

  19. Using Non-Lipschitz Signum-based Functions for Distributed Optimization and Machine Learning: Trade-off Between Con-vergence Rate and Optimality Gap

    Aug 2, 2026Mohammadreza Doostmohammadian, Amir Ahmad Ghods, Alireza Aghasi +2Lipschitz ContinuityConvergence

    Faculty of Mechanical Engineering, Semnan University, Semnan, Iran · Department of Electrical Engineering and Computer Science, Oregon State University, Oregon, USA · Institute of Computational Mathematics and Information Technologies, Kazan Federal University, Russia +1

  20. Trainable Nonexpansive Denoisers for Contractive Image Reconstruction

    Jul 25, 2026Arghya Sinha, Aditya Banerjee, Trishit Mukherjee +1Iterative Denoising MethodsImage Reconstruction

    Indian Institute of Science, Bengaluru, India.

  21. Lipschitzian SLLNs for random functions

    Jul 22, 2026Lai Tian, Johannes O. RoysetLipschitz ContinuityLarge Deviation Principle

    Daniel J. Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, CA.

  22. Breaking the T3/4T^{3/4} Barrier for Regret Minimization With Bi-Dimensional CDFs

    Jul 22, 2026Matteo Castiglioni, Anna Lunghi, Alberto Marchesi\Widetilde{\Mathcal{O}}(\Sqrt{T})$ RegretRegret

    Politecnico di Milano

  23. 1-Lipschitz Neural Networks on Hadamard Manifolds

    Jul 21, 2026Davide Murari, Marta Ghirardelli, Ben Adcock +3Lipschitz ContinuityAnisotropic Loss Landscapes

    Department of Applied Mathematics and Theoretical Physics, University of Cambridge · Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU) · Department of Mathematics, Simon Fraser University

  24. Optimizing the Preconditioner: A Black-box Online-to-Nonconvex Conversion with Static Regret Minimization Oracles

    Jul 20, 2026Haichen Hu, David Simchi-LeviStochastic Convex OptimizationInterval Regret

    Center for Computational Science and Engineering, MIT · Department of Civil and Environmental Engineering, MIT · Institute for Data, Systems, and Society, MIT

  25. Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity

    Jul 9, 2026Linglingzhi Zhu, Jiajin LiConvex OptimizationPrimal-Dual Methods

    H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA. · Sauder School of Business, University of British Columbia, Vancouver, BC, Canada.

  26. Expressivity and Statistical Trade-offs in Diffusion Policy Learning

    Jul 8, 2026Viet Vu, Renyuan Xu, Jiacheng Zhang +1Diffusion PoliciesLipschitz Continuity

    Stanford University · Chinese University of Hong Kong · Imperial College London

  27. A law of robustness for two-layer neural networks with arbitrary weights

    Jul 8, 2026Yitzchak ShmaloTwo-Layer Neural NetworksLipschitz Continuity

  28. LiST: Lipschitz Scaling Training for Robust and Calibrated Neural Networks

    Jul 8, 2026Arthur Chiron, Franck Mamalet, Thomas Massena +2Lipschitz ContinuityAdversarial Training

    IRIT, EPE UT · IRIT · IRIT, DTIPG - SNCF, UT3 +6

  29. Non-Convex Sparse Reinforcement Learning via Non-Monotone Inclusions

    Jul 6, 2026Kyohei Suzuki, Konstantinos SlavakisEntropy Regularized Reinforcement LearningLipschitz Continuity

    Department of Information and Communications Engineering, Institute of Science Tokyo, Yokohama, 226-8501, Japan

  30. LipSSD: Lipschitz-Constrained Single-Shot Detection for Adversarially Robust Object Detection

    Jul 6, 2026Vincent Lébé, Yannick Prudent, Corentin Friedrich +3Object DetectionLipschitz Continuity

    IRIT, DTIPG - SNCF, UT3 · IRT Saint-Exup´ery · Alstom +2

  31. MABLE: Masked Autoencoding with Bi-Lipschitz Decoding for Embeddings and Graph Metric Learning

    Jul 3, 2026Yaniv Shulman, Shaghayegh Akbarpour, Jack B. MuirGraph Representation LearningBehavioral Embeddings

    Fleet Space Technologies, Adelaide, Australia · Research School of Earth Sciences, Australian National University, Acton, Australia

  32. Second-Order KKT Guarantees for Bregman ADMM in Nonconvex and Non-Lipschitz Optimization

    Jun 26, 2026Shuang Li, Zhihui Zhu, Qiuwei LiPrimal-Dual MethodsNonconvex

    Department of Electrical and Computer Engineering, Iowa State University, Ames, Iowa 50014, USA · Department of Computer Science and Engineering, Ohio State University, Columbus, Ohio 43210, USA · DAMO Academy, Alibaba Group US, Bellevue, Washington 98004, USA

  33. Finding Stationary Points by Comparisons

    Jun 25, 2026Helin Wang, Chenyi Zhang, Xiwen Tao +2Stationary PointFirst Order Oracle Complexity

    School of Electronics Engineering and Computer Science, Peking University · Center on Frontiers of Computing Studies, Peking University · Computer Science Department, Stanford University +1

  34. New Bounds for the Last Iterate of the Stochastic subGradient Method

    Jun 23, 2026Guglielmo Beretta, Tommaso Cesari, Roberto Colomboni +1Step AccuracyLipschitz Continuity

    Department of Computer Science, Aarhus University, Aarhus, Denmark · School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, Canada · School of Mathematics, University of Bristol, Bristol, United Kingdom

  35. ELADO: Elliptic PDE Assessment Datasets for Operator Learning

    Jun 18, 2026Frank Ehebrecht, Toni Scharle, Martin AtzmuellerLipschitz ContinuityLong-Tailed Distribution

    Osnabrück University, Semantic Information Systems Group, Osnabrück, Germany · ROSEN Technology and Research Center GmbH, Lingen, Germany · German Research Center for Artificial Intelligence (DFKI), Osnabrück, Germany

  36. Convex training of Lipschitz-regularized shallow neural networks

    Jun 17, 2026Chao Yin, Antoine Lesage-LandryLipschitz ContinuityRectified Linear Unit Networks

    Polytechnique Montr´eal, GERAD & Mila, Montr´eal, QC, Canada, H3T 1J4.

  37. Redesigning Regularization for Effective Policy Smoothing

    Jun 11, 2026Taisuke Kobayashi, Naoto YamanakaSmoothingPolicy Gradient

    National Institute of Informatics (NII) and with The Graduate University for Advanced Studies (SOKENDAI), 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo, 101-8430, Japan

  38. Stability beyond Bounded Differences: Sharp Generalization Bounds under Finite LpL_p Moments

    Jun 5, 2026Qianqian Lei, Soham Bonnerjee, Yuefeng Han +1Generalization BoundsLipschitz Continuity

    Department of Statistics, The University of Chicago, Chicago, IL 60637, USA. · Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556, USA.

  39. Fitting scattered data with optional monotonicity constraints on GPU: LipFit package

    Jun 3, 2026Gleb BeliakovLipschitz ContinuityInterpolation

    School of Information Technology, Deakin University, Burwood 3125, Australia

  40. Analytical Evaluation of DCA Convergence Properties for Minimizing Prediction Functions of Gaussian RBF Support Vector Regression

    Jun 2, 2026Yohei Kakimoto, Yuto Omae, Hirotaka TakahashiNonconvexConvex Optimization

    Nihon University · Tokyo City University

  41. From Non-Convex to Strongly Convex: Curvature-Adaptive FTPL for Online Optimization

    Jun 1, 2026Moses Charikar, Chirag Pabbaraju, Ambuj TewariConvex LossCurvature-Aware Spectral Framework

    Stanford University. · University of Michigan, Ann Arbor.

  42. Beyond Lipschitz: Data-Driven Robustness via Discrete Modulus of Continuity

    May 27, 2026Jürgen Dölz, Michael Multerer, Michele PalmaLipschitz ContinuityContinuum

    Institute for Numerical Simulation University of Bonn Germany · Dalle Molle Institute for Artificial Intelligence USI Lugano Switzerland

  43. Zeroth-Order Nonconvex Nonsmooth Optimization with Heavy-Tailed Noise

    May 23, 2026Zhuanghua Liu, Luo LuoStochastic Convex OptimizationConvex Optimization

  44. The Normalized Maximum Likelihood for Regular Non-Smooth Models: Measure-Theoretic Foundations and Geometric Sampling

    May 23, 2026Trenton Lau, Gary P. T. ChoiMaximum LikelihoodMarkovian Sampling

    Department of Mathematics, The Chinese University of Hong Kong, Hong Kong

  45. Optimal Dimension-Free Sampling for Regularized Classification

    May 22, 2026Meysam Alishahi, Alexander Munteanu, Simon Omlor +1Optimal Sample ComplexityLipschitz Continuity

    University of Utah, USA · TU Dortmund, Germany

  46. Lipschitz Optimization for Formal Verification of Homographies

    May 22, 2026Jean-Guillaume Durand, Panagiotis Kouvaros, Maxime Gariel +1HomographyLipschitz Continuity

    Joby Aviation · Safe Intelligence

  47. A Unified Framework for Uncertainty-Aware Explainable Artificial Intelligence: A Case Study in Power Quality Disturbance Classification

    May 20, 2026Yinsong Chen, Samson S. Yu, Zhong Li +1Uncertainty-Aware ClassificationBayesian Neural Networks

    School of Engineering, Deakin University, Melbourne, 3216, VIC, Australia · Faculty of Mathematics and Computer Science, FernUniversität in Hagen, 58084, Germany · Department of Computing Technologies, Swinburne University of Technology, Hawthorn, 3122, VIC, Australia

  48. Tail Annealing for Heavy-Tailed Flow Matching

    May 19, 2026Jean PachebatLong-Tailed DistributionConditional Flow Matching

    1CMAP, Ecole Polytechnique, Institut Polytechnique de Paris, France.

  49. Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothing

    May 15, 2026Zeji Yi, Chaoyi Pan, Guanya Shi +1Stochastic Convex OptimizationConvergence

    Carnegie Mellon University

  50. The Privacy Price of Tail-Risk Learning: Effective Tail Sample Size in Differentially Private CVaR Optimization

    May 15, 2026El Mustapha MansouriConditional-Value-At-RiskLong-Tailed Distribution

    School of Engineering, Institute of Science Tokyo, Yokohama, Kanagawa 226-8501, Japan

  51. Pessimistic Risk-Aware Policy Learning in Contextual Bandits

    May 15, 2026Yilong Wan, Yuqiang Li, Xianyi WuContextual Bandit FrameworkLipschitz Continuity

  52. Stochastic Non-Smooth Convex Optimization with Unbounded Gradients

    May 15, 2026Dmitry KovalevStochastic Convex OptimizationLipschitz Continuity

    Yandex Research

  53. Muon Does Not Converge on Convex Lipschitz Functions

    May 9, 2026Tetiana Parshakova, Ahmed Khaled, Michael Crawshaw +2Lipschitz ContinuityMuon

    Center for Computational Mathematics, Flatiron Institute, Simons Foundation · Princeton University, Google DeepMind · George Mason University +1

  54. Structure-Preserving Reconstruction of Convex Lipschitz Functionals on Hilbert Spaces from Finite Samples

    May 8, 2026Anastasis KratsiosLipschitz ContinuityKernel Hilbert Spaces

  55. A Note on Non-Negative L1L_1-Approximating Polynomials

    May 8, 2026Jane H. Lee, Anay Mehrotra, Manolis ZampetakisPolynomialsLipschitz Continuity

    Yale University · Stanford University

  56. Improved Model-based Reinforcement Learning with Smooth Kernels

    May 8, 2026Kun Long, Yuqiang Li, Xianyi WuModel-Based Reinforcement LearningOffline Reinforcement Learning

    School of Statistics, KLATASDS-MOE, East China Normal University, North Zhongshan Road, Shanghai, 200062, PR China.

  57. Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective

    May 7, 2026Meira Iske, Carola-Bibiane SchönliebNormalizing FlowsLipschitz Continuity

    Center for Industrial Mathematics, University of Bremen, Bremen, Germany · Department of Theoretical Physics and Applied Mathematics, University of Cambridge, Cambridge, U.K.

  58. Architecture-agnostic Lipschitz-constant Bayesian header and its application to resolve semantically proximal classification errors with vision transformers

    May 7, 2026Frederik Schäfer, Luis Mandl, Lars Kälber +1Noisy LabelsSelf-Supervised Vision Transformers

    Institute of Structural Mechanics and Dynamics in Aerospace Engineering, University of Stuttgart · Rockwell Collins Deutschland GmbH · Department of Hepatobiliary Surgery and Visceral Transplantation, University of Leipzig Medical Center

  59. Ratio-based Loss Functions

    May 7, 2026Lena Helgerth, Andreas ChristmannLoss FunctionLipschitz Continuity

    Department of Mathematics, University of Bayreuth, Chair of Stochastics and Machine Learning, 95440 Bayreuth, Germany

  60. Optimal Contextual Pricing under Agnostic Non-Lipschitz Demand

    May 7, 2026Jianyu Xu, Yu-Xiang WangDynamic PricingInterval Regret

    Carnegie Mellon University Pittsburgh, PA 15213