Nonlinear kinetic Fokker-Planck equations as gradient flows of the free energy

Any-Dimensional Invariant Universality

Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation

Instance-Optimal Estimation with Multiple LLM Judges on a Budget

Coupling-Robust Accuracy in Multiphysics Physics Informed Neural Networks via Kronecker-Preconditioned Optimization

Weisfeiler-Leman Is Incomplete on Simple Spectrum Graphs, so Canonicalize Them

Non-normal spectral signatures of instability in neural network training dynamics

Is Dimensionality a Barrier for Retrieval Models?

Optimization of randomized neural networks for transfer operator approximation

Entrywise Error Bounds for Spectral Ranking with Semi-Random Adversaries

Training-Free Looped Transformers

Resilience Characterization of AI-Native Wireless Receivers via Persistent Homology

Diffusion-based Denoising Beats Vanilla Score Matching in Parameter Estimation: A Theoretical Explanation

Operationalizing Individual Fairness via Gradient Descent and Bradley-Terry Models

Entropy Equivalence Testing

Selective Ambulance Dispatch Under Contextual Travel-Time Uncertainty

Sparse In-Network Learning via Shortest-Path Backpropagation and Finite-Rate Gating

Asymmetric Scaling Laws from Sparse Features

Move on Muon : A Hamiltonian probability gradient flow perspective of Muon optimizer

On the Stability of Spherical Hellinger-Kantorovich Flows and Their Implications for Differential Privacy

Efficient Gradient Estimation for Parameterized Quantum Systems with Lie Algebraic Symmetries

LLAMA LIMA: A Living Meta-Analysis on the Effects of Generative AI on Learning Mathematics

Linear Regression with Unknown Truncation Beyond Gaussian Features

Training-Free Rate-Distortion-Perception Traversal With Diffusion

Learning Decision-Sufficient Representations for Linear Optimization

Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes

Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses

Every Minimal Counterexample to the Erdős-Gyárfás Conjecture is Predominantly Cubic

Prabhakar function and unified fractional kinetic equation in bicomplex space

Every signed planar graph is $5$-choosable: A short proof and refinements

A Comprehensive Study of Clique Graphs and Clique Regular Graphs

Mathematical Foundations for Peer-to-Peer Lattice Computation

Computing Gamma(p/q) with Beta function values

Flows on Graded Manifolds

Optimal embedding dimension in the Nash--Tognoli theorem

Generalized Stochastic Approximation of the Log-Likelihood Ratio for Robust Sequential Change-Point Detection

An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit

Sharp Bohr-Type inequalities for certain classes of close-to-convex functions

An Axiomatic Theory of Tie-Breaking: Impossibility, Characterization, and Decomposition

Invariants of real affine varieties based on their complexifications

The Geometry of Cooperative Game Solutions: Stratified Egalitarian Shapley Values

Topological symmetric and braid homologies

Reconstructibility of Pitch Class Graphs and the Z-relation

Finite groups with high commuting probability for Sylow subgroups

On Reed-Muller subcodes, Grassmannian partitions and sum-free functions

Concise and elegant proofs of three formulas for complete Bell polynomials

Performance Bounds for Rollout Policies in Stochastic Shortest Path Problems

Real 2-blocks in quasi-simple groups

Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$

Cohomogeneity-One Ruled Hypersurfaces in $\mathbb{CP}^2$ and $\mathbb{C}H^2$

Global analysis of the Kuramoto flow

Cartier algebras through the lens of $p$-families

Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks

Symplectic lattice counting and zeta functions of higher Heisenberg groups

A Complete Spectral Analysis of the CEV Operator with Applications to Arbitrage

A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps

Detecting and Correcting Sample-by-Sample Scale Distortion in RNA Sequencing Data

Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees

The Poisson Tail Conjecture for Primes in Short Intervals

Polylogarithmic Full-Chord Buffon Discrepancy

Extremum seeking with exponential convergence via high-order Lie bracket approximations

Sets of large values of polynomial multi-correlation functions

Reflections and Sheafifications in Algebraic and Topological Categories

On the final-state problem for the 1D cubic NLS

Mode-Shape Expansion Using Physics-Constrained Gaussian Process Regression

Isotropic Meta Kazhdan-Lusztig Combinatorics II: Isomorphism to the generalised Khovanov arc algebra

Improved Torn Paper Coding via Local Alignment

Discrete Pauli pairs

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations

LLMs as Noisy Channels: A Shannon Perspective on Model Capacity and Scaling Laws

RA-DCA: A Randomized Active-Set DCA for Directional Stationarity in Max-Structured DC Programs

Commutator-Induced Uncertainty in VAEs

Anytime Training with Schedule-Free Spectral Optimization

The General Theory of Localization Methods

PilotWiMAE: Pilot-Native Representation Learning for Wireless Channels

Proximal basin hopping: global optimization with guarantees

On Stability and Decomposition of Sample Quantiles under Heavy-Tailed Distributions

Democratizing Large-Scale Re-Optimization with LLM-Guided Model Patches

Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients

PyCSP3-Scheduling: A Scheduling Extension for PyCSP3

Strategic PAC Learnability via Geometric Definability

Proximal-Based Generative Modeling for Bayesian Inverse Problems

SPHERICAL KV: Angle-Domain Attention and Rate-Distortion Retention for Efficient Long-Context Inference

NOVA: Fundamental Limits of Knowledge Discovery Through AI

TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection

Omni-scale Learning-based Sequential Decision Framework for Order Fulfillment of Tote-handling Robotic Systems

Normalizing Flows on Quotient Manifolds via Boundary Quotients

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes

Towards an Inferentialist Account of Information Through Proof-theoretic Semantics

Beyond Continuity: Simulation-free Reconstruction of Discrete Branching Dynamics from Single-cell Snapshots

A Unified Fractional Regularization Framework for Sparse Recovery

Inference of Online Newton Methods with Nesterov's Accelerated Sketching

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics

Information bottleneck for learning the phase space of dynamics from high-dimensional experimental data

QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems

Adaptive Learning via Off-Model Training and Importance Sampling for Fully Non-Markovian Optimal Stochastic Control. Complete version

ArcMark: Distortion-Free Multi-Byte LLM Watermark via Optimal Transport

Feature Learning Dynamics in Infinite-Depth Neural Networks

TelecomTS: A Multi-Modal Observability Dataset for Time Series and Language Analysis

Program Evaluation with Remotely Sensed Outcomes

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