Asymptotics

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Period ending 2026-09-21

1 new paper

A weekly snapshot of new work published in Asymptotics.

Period ending 2026-09-07

1 new paper

A weekly snapshot of new work published in Asymptotics.

34 papers

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  1. Asymptotically Optimal Multi-Robot Task and Motion Planning

    Sep 16, 2026Thi Thuy Ngan Duong, Cheuk Tung Shadow Yiu, Rahul Shome +1Multi-Robot Motion PlanningMulti-Robot Systems

  2. Correlated initialization of deep residual networks

    Sep 3, 2026Felix Benning, Ivan Nourdin, Giovanni PeccatiResidual ConnectionsInfinite-Width Gaussian Limit

  3. Exponential random graph models with soft clique constraints

    Aug 31, 2026Yasmin Tousinejad, Vera KoponenExponential Random Graph ModelsMaximum Independent Set

  4. Explanatory Engagement Under Rare Anomalous Failure: Asymptotic Rarity in Model Behavior (or: The Asymptotic AI)

    Aug 13, 2026Sam MaoFailure MechanismArtificial Intelligence Systems

  5. Correlation flow governs learning at criticality

    Aug 8, 2026Andrea Combette, Nelly Pustelnik, Antoine VenailleInfinite-Width Gaussian LimitDeep Learning

  6. A Direct Route to Markov Chain Convergence via Asymptotic Equivalence with the Target

    Aug 4, 2026Patrick ForréProbability MeasuresConvergence

  7. Beyond Modern Asymptotics for Log-Likelihood Ratios in Logistic Regression

    Aug 3, 2026Hugo Chardon, Reese Pathak, Nikita ZhivotovskiyFinite-SampleAsymptotics

  8. Wasserstein mixing time of the unadjusted Langevin algorithm

    Aug 3, 2026Francesco Pedrotti, Peter A. WhalleyLangevin DynamicsWasserstein Distance

  9. A user's guide to PINNs in geometric analysis: lessons from the asymptotic Plateau problem

    Jul 30, 2026Tancredi Schettini GherardiniConventional Physics-Informed Neural NetworksBoundary Value Problems

  10. Learning Asymptotics with Convergence-Rate Guarantees using Linear Least Squares

    Jul 25, 2026Christos N. EfremAsymptoticsConvergence Analysis

  11. Data eccentricity, asymptotics of Gaussian RBF reproducing kernel Hilbert space, and kernel PCA

    Jul 23, 2026Sergio A. AlvarezKernel Hilbert SpacesPrincipal Component Analysis

  12. Dropout and Random Gradient Masking Are Asymptotically Equivalent in Large ResNets

    Jul 18, 2026Javier Maass, Lénaïc ChizatResidual ConnectionsDropout

  13. Asymptotical Analysis of the (1+(λ,λ))(1+(λ,λ)) GA Escape Time from Local Optima on Jump Functions

    Jul 15, 2026Anton V. Eremeev, Valentin A. TopchiiGenetic AlgorithmsEscape

  14. Influence Diagnostics in High-dimensional M-estimation: Precise Asymptotics

    Jul 10, 2026Hugo CuiEfficient Influence FunctionEstimators

  15. Boundary-layer asymptotics for Gaussian-smoothed singular measures

    Jul 5, 2026Nicolas Brosse, Arnak S. DalalyanRegularityRegularization Techniques

  16. Optimizer Memory Makes Shuffle Order a First-Order Source of Fine-Tuning Noise

    Jun 28, 2026John SweeneySingle-Message Shuffle ModelFinetuning

  17. Anti-Collapse Dynamics and the Emergence of Multi-Time-Scale Learning in Recurrent Neural Networks

    Jun 28, 2026Lorenzo LiviRecurrent Neural NetworksLearning Rates

  18. AO-ARC: Almost-Surely Asymptotically Optimal Multi-Robot Motion Planning with ARC

    Jun 25, 2026James D. Motes, Marco Morales, Nancy M. AmatoMulti-Robot Motion PlanningPlanning Methods

  19. Generalized nonparametric regression in reproducing kernel Hilbert spaces: Consistency and rates of convergence

    Jun 22, 2026Ioannis KalogridisKernel Hilbert SpacesEstimators

  20. Random coloured digraphs defined by a Markov logic network

    Jun 16, 2026Yasmin Tousinejad, Vera KoponenMarkovAsymptotics

  21. Shortcomings and capacities of real-constrained neural networks in complex spaces

    Jun 3, 2026Andrew GracykNeural-Network ApproximationNeural Network

  22. An Asymptotic Theory of Chain-of-Thought in In-Context Learning

    Jun 2, 2026Kaito Takanami, Cengiz PehlevanIn-Context LearningChain-of-Thought Reasoning

  23. Reachability and asymptotics of Gaussian Transformer dynamics

    May 29, 2026Albert Alcalde, Zhengping Ji, Enrique ZuazuaTransformer ArchitecturesProbability Measures

  24. A Boundary-Layer Mechanism for One-Third Scaling in Online Softmax Classification

    May 21, 2026Marcel Kühn, Yoon Thelge, Bernd RosenowLearning RatesScaling Laws

  25. Asymptotically Optimal Ergodic Coverage on Generalized Motion Fields

    May 13, 2026Christian Hughes, Yilang Liu, Yanis Lahrach +6Finite-Sample Coverage GuaranteesAutonomous Underwater Vehicles

  26. Factual recall in linear associative memories: sharp asymptotics and mechanistic insights

    May 11, 2026Alessio Giorlandino, Sebastian Goldt, Antoine MaillardDense Associative MemoryFactual Recall

  27. Autonomous Synchronization of Discrete-Time Heterogeneous Multiagent Systems

    May 6, 2026Wei Hu, Quanyi LiangMulti-Agent SystemsTime-Varying Systems

  28. A Partition-Based Generating Function for Row-Convex Polyominoes

    May 4, 2026Vincenzo M. ScarricaPolytopesExact

  29. Learning Curves and Benign Overfitting of Spectral Algorithms in Large Dimensions

    Apr 25, 2026Weihao Lu, Qian Lin, Yingcun Xia +1Kernel Ridge RegressionOverfitting

  30. Phase Transitions in the Fluctuations of Functionals of Random Neural Networks

    Apr 21, 2026Simmaco Di Lillo, Leonardo Maini, Domenico MarinucciCentral Limit TheoremAsymptotics

  31. On the Asymptotics of Self-Supervised Pre-training: Two-Stage M-Estimation and Representation Symmetry

    Mar 29, 2026Mohammad Tinati, Stephen TuSelf-SupervisedModel Pretraining

  32. Asymptotic Behavior of Multi--Task Learning: Implicit Regularization and Double Descent Effects

    Mar 5, 2026Ayed M. Alrashdi, Oussama Dhifallah, Houssem SifaouMulti--Task LearningAsymptotics

  33. PCA of probability measures: Sparse and Dense sampling regimes

    Feb 2, 2026Gachon Erell, Jérémie Bigot, Elsa CazellesPrincipal Component AnalysisProbability Measures

  34. No Free Lunch: Non-Asymptotic Analysis of Prediction-Powered Inference

    May 26, 2025Pranav Mani, Peng Xu, Zachary C. Lipton +1Finite-SampleNoisy Labels