001 Spectral Stability of Pseudoinverse-Based Extreme Learning Machine arXiv Paper Bich Van Nguyen, Ngoc Anh Khong Jul 9 002 Ten Digits on a Train: AI-Assisted Verification of Two Eigenvalue Problems arXiv Paper Matthew J. Colbrook Jun 22 003 Physics-Informed Neural Networks for Computing the Morse Index of the Critical Catenoid arXiv Paper Miraj Samarakkody Jun 19 004 Early Anomaly-Onset Detection based on Wigner--Ville Distribution Slice Spectra: A Transmission-Grid Test Case arXiv Paper Eduardo Piedad, E. Prieto‐Araujo et al. Jun 14 005 Phase Transition in Convex Relaxations for Graph Alignment arXiv Paper Laurent Massouli'e, Sushil Mahavir Varma et al. Jun 14 006 Deep Embedded Multiplicative DMD for Algebra-Preserving Koopman Learning arXiv Paper Kelan Gray, Finlay Brown et al. Jun 3 007 Predictive Maps of Multi-Agent Reasoning: A Successor-Representation Spectrum for LLM Communication Topologies arXiv Paper E. Parks, Dalal Alharthi May 12 008 How Does Attention Help? Insights from Random Matrices on Signal Recovery from Sequence Models arXiv Paper Mohamed El Amine Seddik May 7 009 Spectral Graph Sparsification Preserves Representation Geometry in Graph Neural Networks arXiv Paper Sanjukta Krishnagopal May 1 010 Complex Interpolation of Matrices with an application to Multi-Manifold Learning arXiv Paper Adi Arbel, Stefan Steinerberger et al. Apr 15 011 A Hierarchical Sheaf Spectral Embedding Framework for Single-Cell RNA-seq Analysis arXiv Paper Xiang Wang, Guo-Wei We Mar 27 012 Spectral Superposition: A Theory of Feature Geometry arXiv Paper Georgi Ivanov et al. Feb 2 013 Persistent Sheaf Laplacian Analysis of Protein Stability and Solubility Changes upon Mutation arXiv Paper Yiming Ren et al. Jan 18 014 Diffusion Computation versus Quantum Computation: A Comparative Model for Order Finding and Factoring arXiv Paper Carlos A. Cadavid et al. Jan 5 015 Generative Myopia: Why Diffusion Models Fail at Structure arXiv Paper Milad Siami Nov 23, 2025 016 Rotation-Parameterized Graph Fractional Fourier Transform: Definition, Properties, and Optimal Filtering arXiv Paper Feiyue Zhao et al. Nov 20, 2025 017 SPEAR-MM: Selective Parameter Evaluation and Restoration via Model Merging for Efficient Financial LLM Adaptation arXiv Paper B. Kapusuzoglu, Supriyo Chakraborty et al. Nov 11, 2025 018 SPECTRA: Spectral Domain-Aware Graph Generation for Imbalanced Molecular Property Regression arXiv Paper Brenda Nogueira, G. González‐Montiel et al. Nov 6, 2025 019 Perturbation Bounds for Low-Rank Inverse Approximations under Noise arXiv Paper Phuc Tran, Nisheeth K. Vishnoi Oct 29, 2025 020 Spectral Perturbation Bounds for Low-Rank Approximation with Applications to Privacy arXiv Paper Phuc Tran et al. Oct 29, 2025 021 Grassmanian Interpolation of Low-Pass Graph Filters: Theory and Applications arXiv Paper Anton Savostianov et al. Oct 27, 2025 022 Note on the Construction of Structure Tensor arXiv Paper Josef Bigun et al. Oct 27, 2025 023 An Introductory Guide to Koopman Learning arXiv Paper Matthew J. Colbrook et al. Oct 24, 2025 024 Overparametrization bends the landscape: BBP transitions at initialization in simple Neural Networks arXiv Paper B. Annesi, Dario Bocchi et al. Oct 21, 2025 025 Convergence of graph Dirichlet energies and graph Laplacians on intersecting manifolds of varying dimensions arXiv Paper Leon Bungert et al. Sep 29, 2025 026 Synthetic Image Detection via Spectral Gaps of QC-RBIM Nishimori Bethe-Hessian Operators arXiv Paper V. S. Usatyuk et al. Aug 27, 2025 027 Multi-Community Spectral Clustering for Geometric Graphs arXiv Paper Luiz Emilio Allem et al. Jul 27, 2025 028 Avoiding spectral pollution for transfer operators using residuals arXiv Paper April Herwig et al. Jul 22, 2025 029 Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces arXiv Paper Nicolas Boullé et al. Jun 18, 2025 030 Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs arXiv Paper Salah A. Faroughi et al. Jun 9, 2025 031 Towards an Explainable Comparison and Alignment of Feature Embeddings arXiv Paper Mohammad S. Jalali, Bahar Dibaei Nia et al. Jun 6, 2025 032 CatBOX: A Categorical-Continuous Bayesian Optimization with Spectral Mixture Kernels for Accelerated Catalysis Experiments arXiv Paper Changquan Zhao et al. May 23, 2025 033 Graph Alignment via Birkhoff Relaxation arXiv Paper Sushil Mahavir Varma et al. Mar 7, 2025 034 Statistical Limits in Random Tensors with Multiple Correlated Spikes arXiv Paper Yang Qi et al. Mar 5, 2025 035 Consistency of augmentation graph and network approximability in contrastive learning arXiv Paper Chenghui Li, A. M. Neuman Feb 6, 2025 036 Entrywise application of non-linear functions on orthogonally invariant matrices arXiv Paper Roland Speicher et al. Dec 9, 2024 037 Centrality Graph Shift Operators for Graph Neural Networks arXiv Paper Yassine Abbahaddou, Fragkiskos D. Malliaros et al. Nov 7, 2024 038 The Empirical Watershed Wavelet arXiv Paper Basile Hurat et al. Oct 24, 2024 039 Estimating the Spectral Moments of the Kernel Integral Operator from Finite Sample Matrices arXiv Paper Chanwoo Chun, SueYeon Chung et al. Oct 23, 2024 040 Hallucination Detox: Sensitivity Dropout (SenD) for Large Language Model Training arXiv Paper Shahrad Mohammadzadeh, Juan David Guerra et al. Oct 20, 2024 041 Graph Fourier Neural Kernels (G-FuNK): Learning Solutions of Nonlinear Diffusive Parametric PDEs on Multiple Domains arXiv Paper Shane Loeffler, Zan Ahmad et al. Oct 6, 2024 042 Shuffled Linear Regression via Spectral Matching arXiv Paper Hang Liu, Anna Scaglione Sep 30, 2024 043 A tutorial on the dynamic Laplacian arXiv Paper Gary Froyland Aug 8, 2024 044 A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity arXiv Paper Catherine Drysdale et al. Aug 1, 2024 045 Adversarial dynamical systems characterize when data-driven learning succeeds or fails arXiv Paper Matthew J. Colbrook et al. Jul 8, 2024 046 On the Expressive Power of Spectral Invariant Graph Neural Networks arXiv Paper Bohang Zhang, Lingxiao Zhao et al. Jun 6, 2024 047 Multiplicative Dynamic Mode Decomposition arXiv Paper Nicolas Boullé et al. May 8, 2024 048 Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators arXiv Paper Matthew J. Colbrook et al. May 1, 2024 049 The Positivity of the Neural Tangent Kernel arXiv Paper Luís Carvalho et al. Apr 19, 2024 050 Leveraging advances in machine learning for the robust classification and interpretation of networks arXiv Paper R. Appaw, N. Fountain‐Jones et al. Mar 20, 2024 051 Modal Analysis of Spatiotemporal Data via Multivariate Gaussian Process Regression arXiv Paper Jiwoo Song, Daning Huang Mar 19, 2024 052 Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces arXiv Paper Isao Ishikawa et al. Mar 4, 2024 053 A kernel-based analysis of Laplacian Eigenmaps arXiv Paper Martin Wahl Feb 26, 2024 054 Perturbative adaptive importance sampling for Bayesian LOO cross-validation arXiv Paper Joshua C Chang et al. Feb 13, 2024 055 On the Convergence of Hermitian Dynamic Mode Decomposition arXiv Paper Nicolas Boullé et al. Jan 6, 2024 056 Optimizing ADMM and Over-Relaxed ADMM Parameters for Linear Quadratic Problems arXiv Paper Jintao Song, Wenqi Lu et al. Jan 1, 2024 057 Data-driven discovery with Limited Data Acquisition for fluid flow across cylinder arXiv Paper Himanshu Singh Dec 19, 2023 058 The Multiverse of Dynamic Mode Decomposition Algorithms arXiv Paper Matthew J. Colbrook Nov 30, 2023 059 Distributed Uncertainty Quantification of Kernel Interpolation on Spheres arXiv Paper Shao-Bo Lin et al. Oct 25, 2023 060 A Spectral Approach for Learning Spatiotemporal Neural Differential Equations arXiv Paper Mingtao Xia et al. Sep 28, 2023