Mean-Field Limit

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7 papers in the last four weeks, against 1 the four weeks before. 0.1% of all new papers.

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  1. Learning to Price Electricity for Optimal Demand Response

    Sep 30, 2026Jing Shang, Mohammad Mehrabi, Xinyang Zhou +3Electricity MarketsDemand Response

    Stanford University · National Laboratory of the Rockies · Prime Coalition +1

  2. Universality and Generalization of Causal Transformers Across Context Lengths

    Sep 28, 2026Takashi Furuya, Maarten V. de Hoop, Gabriel PeyréTransformer ArchitecturesRegularity

    Doshisha University, RIKEN AIP · Rice University · CNRS, ENS, PSL Université

  3. Learning-Induced Dynamical Transition in Recurrent Neural Networks

    Sep 16, 2026Varun VaidyaLearning DynamicsRecurrent Neural Networks

    Department of Physics, University of South Dakota, Vermillion 57069, USA

  4. Attention Mean Fields Predict Average Representation Dynamics and Reveal Context-Specific Computation

    Sep 14, 2026Micah Adler, John W. Byers, Mark CrovellaLanguage ModelingMean-Field Limit

    Department of Computer Science, Boston University · Faculty of Computing & Data Sciences, Boston University

  5. Logit Refiner: Improving Visual Autoregressive Models via Intra-Scale Dependency Modeling

    Sep 12, 2026Meimingwei Li, Stefan Andreas Baumann, Felix Krause +1Visual Autoregressive ModelsLogit Lens

    Munich Center for Machine Learning (MCML)

  6. Critical initialization destabilizes higher input derivatives in wide scalar-input networks

    Sep 10, 2026Prashant Singh, Pranav SinghTwo-Layer Neural NetworksMean-Field Limit

    Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, Punjab, 140001, India

  7. Graph neural networks and the energetic cavity method for combinatorial optimization

    Sep 7, 2026Joe Bacchus George, George T. CantwellGraph Neural NetworksCombinatorial Optimization

    Department of Engineering, University of Cambridge, CB2 1PZ, United Kingdom

  8. Estimating Population-Risk Curves Along Nonconvex Gradient Flows from the Training Sample

    Aug 31, 2026Mingzhi SongWasserstein Gradient FlowsGradient

    Department of Mathematics, The University of Hong Kong

  9. A Mean-Field Framework for Inference-Time Distributional Control of Diffusion Models

    Aug 9, 2026Samuel Howard, Nikolas NüskenDiffusion SamplingInference-Time Steering

    Department of Statistics, University of Oxford · Department of Mathematics, King’s College London

  10. Particle-based Generalised Stochastic Optimisation

    Aug 3, 2026Jiechen Jackie Zhang, O. Deniz AkyildizStochastic OptimizationLangevin Dynamics

    Department of Mathematics, Imperial College London

  11. Multi-Agent Privacy Game in Federated Learning: A Unified Mean-Field View

    Jul 25, 2026Kun Zhao, Xu ChenFederated LearningPrivacy

  12. A Formalization of the Mean-Field Derivation of the Vlasov Equation: AI-Assisted Lean Formalization as a Strategy Game

    Jul 9, 2026Joseph K. MillerFormalizationDerivations

    Stanford University · Massachusetts Institute of Technology

  13. Constrained Decoding for Diffusion Language Models via Efficient Inference over Finite Automata

    Jul 8, 2026Meihua Dang, Stefano ErmonConstrained DecodingDiffusion Language Models

    Stanford University

  14. Width-Robust Learnability in Mean-Field Bayesian Neural Networks

    Jul 7, 2026Dmitry Vaintrob, Kaarel HänniBayesian Neural NetworksLearnability

    Principles of Intelligence

  15. Broken Ergodicity and the Violation of the Fluctuation-Dissipation Theorem Lead to Generalization Beyond Overfitting in Machine Learning

    Jul 5, 2026Chan Li, Nigel GoldenfeldFluctuation-Dissipation TheoremMean-Field Limit

    Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, USA. · Halıcıoğlu Data Science Institute, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, USA

  16. Implicit Bias of SGD in Multivariate ReLU Networks: Effective Width Collapse

    Jul 3, 2026Shuang Liang, Tom Jacobs, Guido MontúfarRectified Linear Unit NetworksStochastic Gradient Descent

    Department of Statistics & Data Science University of California, Los Angeles Los Angeles, CA 90095, USA · CISPA Helmholtz Center for Information Security · Departments of Mathematics and Statistics & Data Science University of California, Los Angeles; and Max Planck Institute for Mathematics in the Sciences

  17. Mean Field Reinforcement Learning

    Jul 1, 2026René Carmona, Mathieu LaurièreStochastic Optimal ControlMulti-Agent Reinforcement Learning

    Department of Operations Research and Financial Engineering & Program in Applied and Computational Mathematics, Princeton NJ 08544, USA · Shanghai Frontiers Science Center of Artificial Intelligence and Deep Learning; NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai; NYU Shanghai, 567 West Yangsi Road, Shanghai, 200126, People’s Republic of China

  18. Predictable GRPO: A Closed-Form Model of Training Dynamics

    Jun 29, 2026Rajat Ghosh, Datta Nimmaturi, Aryan Singhal +4Repair-Based Group-Relative Policy OptimizationMean-Field Limit

    Nutanix San Jose, USA · Unsloth Hyderabad, India · Nutanix2026 San Jose, USA +1

  19. Exit-and-Join Dynamics and Equilibrium in Continuum Cooperative Games

    Jun 27, 2026Quanyan ZhuCoalition FormationEquilibrium

    Department of Electrical and Computer Engineering · New York University Tandon School of Engineering · Brooklyn, NY, USA

  20. Mean-Field PhiBE: Continuous-Time Mean-Field Reinforcement Learning from Discrete-Time Data

    Jun 25, 2026Erhan Bayraktar, Martin Hernandez, Qinxin Yan +1Stochastic Optimal ControlModel-Free

    Department of Mathematics, University of Michigan, Ann Arbor, MI, USA. · Department of Statistics and Data Science, University of California, Los Angeles, CA, USA. · Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA.

  21. Neural Parameter Calibration for Finite-State Mean Field Games

    Jun 22, 2026Anna C. M. Thöni, Grégoire Lambrecht, Gökçe Dayanıklı +3Mean Field GamesMean-Field Limit

    Radboud University, Nijmegen, the Netherlands · New York University, New York, NY · University of Illinois Urbana-Champaign, Champaign, IL +2

  22. Stationary Robust Mean-Field Games under Model Mismatches

    Jun 21, 2026Yue WangMean Field GamesMulti-Agent Reinforcement Learning

    Department of Electrical and Computer Engineering University of Central Florida Orlando, Florida, USA

  23. Optimal Coarse Correlated Equilibria in Mean Field Games: Linear Programming and No-Regret Learning

    Jun 18, 2026Luciano Campi, Federico Cannerozzi, Ioannis TzouanasMean Field GamesEquilibrium

    DEPARTMENT OF MATHEMATICS “FEDERIGO ENRIQUES”, UNIVERSITY OF MILAN, VIA SALDINI 50, 20133, MILAN, ITALY. · CENTER FOR MATHEMATICAL ECONOMICS (IMW), BIELEFELD UNIVERSITY, BIELEFELD, GERMANY.

  24. Attention as Frustrated Synchronization

    Jun 17, 2026Joshua NunleyTransformer AttentionAttention Layers

    Cognitive Science Program Luddy School of Informatics, Computing, and Engineering Indiana University Bloomington

  25. Operator Calculus for Population-Based Optimization: A Mean-Field Convergence Theory

    Jun 12, 2026Pekka Malo, Lauri Viitasaari, Patrik Nummi +3Decentralized OptimizationMean-Field Limit

    1Aalto University, Department of Information and Service Management, Finland. · 2Aalto University, Department of Information and Communications Engineering, Finland. · 3Indian Institute of Management Ahmedabad, Operations and Decision Sciences, India. +1

  26. Convergence of Monte Carlo Optimistic Policy Iteration: Beyond Uniform State-Action Updates

    Jun 9, 2026Octave Oliviers, Glenn VinnicombeBoltzmann PoliciesMonte Carlo

    Department of Engineering University of Cambridge Cambridge, UK

  27. Discovering and decoding latent mean-field structure with variational autoencoders

    Jun 7, 2026Marco Biroli, Max Welling, Vincenzo VitelliConditional Variational AutoencoderMean-Field Limit

    Department of Physics and the James Franck Institute, University of Chicago, Chicago, IL, USA · CuspAI, Cambridge, England · AMLab, University of Amsterdam, Amsterdam, Netherlands +1

  28. Beyond Linear and Overcomplete Regimes: A Mean-Field Analysis of Bottleneck Autoencoders

    Jun 5, 2026Santanu Das, Ramyak Bilas, Pascal Esser +1Autoencoder ArchitecturesMean-Field Limit

    STCS department Tata Institute Of Fundamental Research Mumbai, India-400005 · Department of Mathematics Indiana University Bloomington Indiana, USA-47405 · Department of Mathematics Ludwig-Maximilians-Universität München Germany, München-80799 +1

  29. Quantifying Uncertainty In Wide Two-Layer Neural Networks: On The Law Of The Limiting Fluctuation Process

    Jun 4, 2026Arnaud Descours, Arnaud Guillin, Geoffrey Lacour +3Two-Layer Neural NetworksFluctuation-Dissipation Theorem

    LSAF · LMBP · MaIAGE +1

  30. Derivative Informed Learning of Exchange-Correlation Functionals

    Jun 2, 2026Eike S. Eberhard, Luca A. Thiede, Abdul Aldossary +5Mean-Field Limit

    Technical University of Munich, Munich, Germany · Munich Data Science Institute, Munich, Germany · Munich Center for Machine Learning, Munich, Germany +4

  31. Nonlocal Mean Field Schrödinger Bridge with Learned Interactions

    Jun 2, 2026Daisuke Inoue, Dante Kalise, Mathieu LaurièreSchrödinger BridgesMean-Field Limit

    Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom. · Shanghai Frontiers Science Center of Artificial Intelligence and Deep Learning, NYU-ECNU Institute of Mathematical Sciences, NYU Shanghai, Shanghai 200126, People’s Republic of China.

  32. The Crowded Embedding Space: A Mean-Field Mechanism for Emergent Marginalization in Retrieval-Augmented Agents

    Jun 1, 2026Shwan Ashrafi, Dan RothRelevanceMinority

    Oracle AI

  33. Recognize Your Orchestrator: An Entropy Dynamics Perspective for LLM Multi-Agent Systems

    May 31, 2026Junze Zhu, Weihao Chen, Xuanwang Zhang +2Model-Based Multi-Agent SystemsOrchestration

    National Key Laboratory for Novel Software Technology, Nanjing University, China

  34. Learning effective models from network dynamics data with multiple initial conditions using weak form SINDy

    May 28, 2026Moyi Tian, Daniel A. Messenger, Vanja Dukic +2System IdentificationNetwork Science

    Department of Applied Mathematics, University of Colorado, Boulder, CO 80309 United States · Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545 United States

  35. Mean-Field Diffuser: Scaling Offline MARL to Thousands of Agents

    May 28, 2026Wenhao Li, Xiangfeng Wang, Bo JinMulti-Agent Reinforcement LearningModel-Based Reinforcement Learning

    Tongji University · East China Normal University

  36. Composing Non-Conjugate Factor Graphs with Closed-Form Variational Inference

    May 28, 2026Mykola Lukashchuk, Kyrylo Yemets, Wouter M. Kouw +4Variational InferenceFactor Graphs

    Eindhoven University of Technology, the Netherlands · Lviv Polytechnic National University, Lviv, Ukraine · Lazy Dynamics, Utrecht, the Netherlands +1

  37. Kernel-based potential mean-field games with unbiased random Fourier UU-statistics

    May 28, 2026Yumiharu NakanoMean Field GamesMaximum Mean Discrepancy

    Department of Mathematical and Computing Science, Institute of Science Tokyo

  38. A Minimal Bifurcation Model of Load Imbalance in a Softmax Mixture-of-Experts Router

    May 27, 2026O. M. KiselevLoad BalancingMixture-Of-Experts

    Innopolis University, Innopolis, Russia

  39. The incremental voter model: mean-field analysis and convergence to equilibrium

    May 27, 2026Fei Cao, Xiaoqian GongMean-Field LimitMajority Voting

    Amherst College - Department of Mathematics, Amherst, MA 01002, USA

  40. Thinned Mean Field Langevin Dynamics

    May 27, 2026Zonghao Chen, Heishiro Kanagawa, François-Xavier Briol +2Mean-Field LimitLangevin Dynamics

    University College London · 2Newcastle University · 3The Alan Turing Institute +1

  41. Feature Learning in Wide Neural Networks under μμP: Identifiability and Sparse-Dictionary Decomposition of the Mean-Field Limit

    May 23, 2026Akmal XodarevTwo-Layer Neural NetworksFeature Learning

    Independent Researcher · Tashkent, Uzbekistan

  42. Convergence of Consensus-Based Particle Methods for Nonconvex Bi-Level Optimization

    May 19, 2026Yutong Chao, Xudong Sun, Konstantin Riedl +2Bilevel OptimizationConvex Optimization

    Department of Computer Science Technical University of Munich · Munich Institute of Robotics and Machine Intelligence Technical University of Munich · Mathematical Institute University of Oxford

  43. From Mean-Field Limits to Semiclassical Concentration: Global Convergence of the Canonical Evolutionary Strategy

    May 19, 2026Matías Neto, Nicolás Garay, Luis Martí +1Evolutionary OptimizationConvergence

    Inria Chile Research Center, Av Apoquindo 2827, Las Condes, RM, Chile · Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile

  44. Training Infinitely Deep and Wide Transformers

    May 17, 2026Raphaël Barboni, Maarten V. de Hoop, Takashi Furuya +1Transformer ArchitecturesMean-Field Limit

    Bocconi University · Rice University · Doshisha University, RIKEN AIP +1

  45. Sharp Spectral Thresholds for Logit Fixed Points

    May 15, 2026Tongxi WangEntropy Regularized Reinforcement LearningMean-Field Limit

    Southeast University Nanjing, China

  46. Saturating Scaling Laws for Equational Discovery: A Phenomenology of Growth Dynamics in Three Toy Substrates with Two Real-World Replications

    May 14, 2026Fabio RovaiScaling LawsGrowth

    Tesseract Academy

  47. Kinetic theory for Transformers and the lost-in-the-middle phenomenon

    May 9, 2026Mitia Duerinckx, Borjan Geshkovski, Stefano RossiMean-Field LimitCausal Attention

  48. Spherical Boltzmann machines: a solvable theory of learning and generation in energy-based models

    May 9, 2026Thomas Tulinski, Simona Cocco, Rémi Monasson +1Statistical PhysicsMean-Field Limit

    Laboratoire de Physique de l’École Normale Supérieure, PSL, CNRS UMR8023, Sorbonne Université, 24 rue Lhomond, 75005 Paris, France · Institut de Physique Théorique, Université Paris-Saclay,2026 CNRS UMR3681, CEA, Gif-sur-Yvette, France

  49. Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer

    May 8, 2026Clarissa Lauditi, Cengiz Pehlevan, Blake BordelonDeep NetworkNeural Network

    John A. Paulson School of Engineering and Applied Sciences, Harvard University · Kempner Institute for the Study of Natural and Artificial Intelligence, Harvard University · Center for Mathematical Sciences and Applications, Harvard University +1

  50. Training-Induced Escape from Token Clustering in a Mean-Field Formulation of Transformers

    May 8, 2026Noboru Isobe, Daisuke Inoue, Masaaki ImaizumiTransformer AttentionTransformer Architectures

    1RIKEN Center for Advanced Intelligence Project · 2Imperial College London · 3The University of Tokyo +1

  51. MEMOA: Massive Mixtures of Online Agents via Mean-Field Decentralized Nash Equilibria

    May 6, 2026Xuwei Yang, David B. Emerson, Fatemeh Tavakoli +1Multi-Agent Reinforcement LearningMean-Field Limit

    Department of Mathematics and Statistics McMaster University Ontario, Canada · Vector Institute Ontario, Canada

  52. Population-Aware Imitation Learning in Mean-field Games with Common Noise

    May 5, 2026Grégoire Lambrecht, Mathieu LaurièreMean Field GamesImitation Learning

    Center for Data Science, New York University and NYU Shanghai, New York, United States of America · Shanghai Center for Data Science; NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai; NYU Shanghai, Shanghai, People’s Republic of China.

  53. Continuous-time q-learning for mean-field control with common noise, part-I: Theoretical foundations

    Apr 30, 2026Zhenjie Ren, Xiaoli Wei, Xiang Yu +1Stochastic Optimal ControlQ-Learning

    LaMME, Universit´e ´Evry Paris-Saclay, ´Evry, France · Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong · Department of Industrial Engineering and Operations Research, Columbia University, New York, USA

  54. Local exponential stability of mean-field Langevin descent-ascent and associated particle system

    Feb 2, 2026Geuntaek Seo, Minseop Shin, Pierre Monmarché +1Mean-Field LimitNash Equilibrium

  55. Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization

    Nov 26, 2025William De Deyn, Michael Herty, Giovanni SamaeyNeural Network OptimizationTwo-Layer Neural Networks

    Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Germany · Department of Computer Science, KU Leuven, Belgium · Extraordinary Professor, Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa

  56. Consensus-based optimization for closed-box adversarial attacks and a connection to evolution strategies

    Jun 30, 2025Tim Roith, Leon Bungert, Philipp WackerBlack-Box OptimizationBlack-Box Adversarial Attacks

    TUM School of Computation, Information and Technology and Munich Center for Machine Learning (MCML), Boltzmannstr. 3, 85748 Garching bei München, Germany · Institute of Mathematics, Center for Artificial Intelligence and Data Science (CAIDAS), University of Würzburg, Emil-Fischer-Str. 40, 97074 Würzburg, Germany · School of Mathematics and Statistics, University of Canterbury

  57. A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks

    Oct 28, 2022Zhengdao Chen, Eric Vanden-Eijnden, Joan BrunaTwo-Layer Neural NetworksMean-Field Limit

    Google Research Mountain View, CA 94043 · Courant Institute, New York University New York, NY 10003

  58. On Universality of Non-Separable Approximate Message Passing Algorithms

    Date pendingMax Lovig, Tianhao Wang, Zhou FanApproximationMessage Passing Neural Networks

    Department of Statistics and Data Science, Yale University · Halicioglu Data Science Institute, University of California, San Diego