001 Many-body Tipping Dynamics of ChatGPT-like AIs arXiv Paper F. Huo, Neil F. Johnson 3 days ago 002 A Smooth Phase-Separation Model for Weak-Boundary Segmentation of Homogeneous Structures arXiv Paper Zihan Li, Jiebao Sun et al. 7 days ago 003 From level set evolution to threshold optimization: A grayscale level set framework for image segmentation arXiv Paper Xingkai Li, Jiebao Sun et al. 7 days ago 004 Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics arXiv Paper Snigdha Chandan Khilar Jul 21 005 Efficient Computing for Medical Image Acquisition and Reconstruction arXiv Paper Xiao Wang, Jayasai R. Rajagopal et al. Jul 14 006 A Formalization of the Mean-Field Derivation of the Vlasov Equation arXiv Paper Joseph K. Miller Jul 9 007 Kime-Representation Formulations of Three Open Problems in the Foundations of Classical Mechanics: Uncertainty, Invariant Entropy, and Directional Degrees of Freedom arXiv Paper I. Dinov Jul 8 008 A Physics-Informed Neural Network Framework for Elastodynamic Wave Propagation in Bimaterial Systems arXiv Paper S. Chibire, J. Gau et al. Jul 7 009 QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography arXiv Paper Ruturaj Khamitkar, Durga Pritam Suggisetti et al. Jul 7 010 Reduced-Order Models: The Mother of World Models arXiv Paper Rajat Ghosh Jul 3 011 McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation arXiv Paper Jiwei Jia, Xinliang Liu et al. Jun 29 012 A Coherence Law for Trainability in Noisy Equivariant Quantum Neural Networks arXiv Paper Hassan Ugail, Newton Howard Jun 28 013 Beyond Feedforward Networks: Reentry Neural Systems as the Fundamental Basis of Subjecthood and Intrinsic Safety of Next-Generation AGI arXiv Paper A. Ushakov, Yu. N. Berdinsk Jun 24 014 Neural operator-based digital twins for modeling amyloid-$β$ and tau propagation and treatment optimization in Alzheimer's disease arXiv Paper Xiaofeng Xu, Tingting Dan et al. Jun 23 015 Thermodynamic Measure of Intelligence arXiv Paper I. Chattopadhyay Jun 18 016 On the Entropy Formula for Real, Complex, and Quaternionic Deep Linear Networks arXiv Paper Luis Contreras, Marco Nahas et al. Jun 15 017 RepNN: Tackling spectral bias in deep neural networks via parameter reparameterization arXiv Paper Yong Wang, Tao Zhou et al. Jun 15 018 The Algebra of Units: From Buckingham's Pi-grec Theorem to Latent-Variable Learning arXiv Paper M. Valorani Jun 15 019 Adjusted Cup-Product Neural Layer arXiv Paper Snigdha Chandan Khilar Jun 11 020 Rapid mixing for Gibbs measures in Riemannian manifolds arXiv Paper Ángela Capel et al. Jun 11 021 Data-driven discovery of governing differential equations across physical systems arXiv Paper Siyu Lou, Hao Xu et al. Jun 8 022 Ternary public-key cryptosystem arXiv Paper S. Duplij, Qiang Guo et al. Jun 5 023 Gradient descent at the Edge of Stability: free energy model and kinetic description of the two-layer network arXiv Paper Antonin Chodron de Courcel Jun 3 024 Phase transitions for the noisy transformer model in arbitrary dimension arXiv Paper Kyunghoo Mun et al. Jun 3 025 Quantifying the biophysical properties of stomatocytes in health and disease arXiv Paper Zhaojie Chai, Jianlu Zheng et al. Jun 2 026 Continual Learning as a Multiphase Moving-Boundary Problem arXiv Paper Snigdha Chandan Khilar Jun 1 027 The Score Hamiltonian: Mapping Diffusion Models to Adiabatic Transport arXiv Paper P. Halmos, Boris Hanin May 28 028 An End-to-End PyTorch Interface for Differentiable PDE Solvers: A RANS Model-Correction Study arXiv Paper Luca Saverio, M. Bucci et al. May 19 029 Linear Motility Maps in Nonlinear Viscous Fluids arXiv Paper Yishun Zhou et al. May 19 030 Beyond Continuity: Simulation-free Reconstruction of Discrete Branching Dynamics from Single-cell Snapshots arXiv Paper Junda Ying, Yuxuan Wang et al. May 1 031 Hamiltonian Graph Inference Networks: Joint structure discovery and dynamics prediction for lattice Hamiltonian systems from trajectory data arXiv Paper Ru Geng, Panayotis G. Kevrekidis et al. Apr 26 032 On The Mathematics of the Natural Physics of Optimization arXiv Paper I. M. Ross Apr 19 033 Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models arXiv Paper Kyunghoo Mun et al. Apr 17 034 Generative Path-Finding Method for Wasserstein Gradient Flow arXiv Paper Chengyu Liu, X. Zhou Apr 13 035 Persistence diagrams of random matrices via Morse theory: universality and a new spectral diagnostic arXiv Paper Matthew Loftus Mar 29 036 Data-Driven Weak-form Discovery of Stochastic Systems arXiv Paper Eshwar R A et al. Mar 21 037 Towards sample-optimal learning of bosonic Gaussian quantum states arXiv Paper Senrui Chen, Francesco Anna Mele et al. Mar 18 038 Verifying Good Regulator Conditions for Hypergraph Observers: Natural Gradient Learning from Causal Invariance via Established Theorems arXiv Paper M. Zhuravlev Mar 10 039 Group Entropies and Mirror Duality: A Class of Flexible Mirror Descent Updates for Machine Learning arXiv Paper Andrzej Cichocki, Piergiulio Tempesta Mar 9 040 Score Reversal Is Not Free for Quantum Diffusion Models arXiv Paper Ammar Fayad Mar 6 041 Multiparty Quantum Key Agreement: Architectures, State-of-the-art, and Open Problems arXiv Paper Malik Mouaji et al. Mar 3 042 Dynamic Level Sets arXiv Paper Michael Stephen Fiske Feb 26 043 A new Uncertainty Principle in Machine Learning arXiv Paper V. Dolotin, A. Morozov Feb 24 044 FEKAN: Feature-Enriched Kolmogorov-Arnold Networks arXiv Paper Sidharth S. Menon et al. Feb 18 045 Phase-Based Bit Commitment Protocol arXiv Paper Janis Nötzel et al. Feb 18 046 Domain Knowledge Guided Bayesian Optimization For Autonomous Alignment Of Complex Scientific Instruments arXiv Paper Aashwin Mishra et al. Feb 11 047 Learning Heat-based Equations in Self-similar variables arXiv Paper Shihao Wang et al. Jan 31 048 Parametric Hyperbolic Conservation Laws: A Unified Framework for Conservation, Entropy Stability, and Hyperbolicity arXiv Paper Lizuo Liu et al. Jan 28 049 Single-Nodal Spontaneous Symmetry Breaking in NLP Models arXiv Paper Shalom Rosner et al. Jan 28 050 H-EFT-VA: An Effective-Field-Theory Variational Ansatz with Provable Barren Plateau Avoidance arXiv Paper Eyad I. B Hamid Jan 15 051 A Sharp Universality Dichotomy for the Free Energy of Spherical Spin Glasses arXiv Paper Taegyun Kim Jan 13 052 On Lie Groups Preserving Subspaces of Degenerate Clifford Algebras arXiv Paper E. R. Filimoshina et al. Jan 12 053 WFR-FM: Simulation-Free Dynamic Unbalanced Optimal Transport arXiv Paper Qiangwei Peng et al. Jan 11 054 Density Matrix RNN (DM-RNN): A Quantum Information Theoretic Framework for Modeling Musical Context and Polyphony arXiv Paper Joonwon Seo et al. Jan 8 055 Random-Matrix-Induced Simplicity Bias in Over-parameterized Variational Quantum Circuits arXiv Paper Jun Qi et al. Jan 5 056 Incorporating rank-free coupling and external field via an incoherent modulated spatial photonic Ising machine arXiv Paper Ze Zheng et al. Dec 25, 2025 057 Field-Space Attention for Structure-Preserving Earth System Transformers arXiv Paper Maximilian Witte et al. Dec 23, 2025 058 Convolutional-neural-operator-based transfer learning for solving PDEs arXiv Paper Peng Fan, Guofei Pang Dec 19, 2025 059 MINPO: Memory-Informed Neural Pseudo-Operator to Resolve Nonlocal Spatiotemporal Dynamics arXiv Paper Farinaz Mostajeran et al. Dec 19, 2025 060 Cryptographic transformations over polyadic rings arXiv Paper Steven Duplij et al. Dec 14, 2025