Spectral Decomposition

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6 papers in the last four weeks, up 100% on the four weeks before. 0.1% of all new papers.

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  1. QuanVI: Score-based Variational Inference via Quantum Maximally Mixed States

    Sep 30, 2026Yuchen Cong, Zerui Tao, Chao Li +2Variational Quantum AlgorithmsVariational Inference

    Juntendo University · RIKEN-AIP

  2. NHO: A Neural Hamiltonian Operator for Anchor-based Region Localization and Dense Correspondence

    Sep 29, 2026Jing Li, Yawei Luo, Xiangze Meng +3Shape CorrespondenceGround-Truth Correspondence

    Jilin University · Zhejiang University · North China University of Technology

  3. Hierarchical Clustering and Signal Denoising on Digraphs

    Sep 28, 2026Yi Wang, Sippanon Kitimoon, Hrushikesh N. Mhaskar +1Graph Signal ProcessingClustering

    Department of Mathematics, City University of Hong Kong, Hong Kong, SAR China · Data Science Research Center, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand · Institute of Mathematical Sciences, Claremont Graduate University, Claremont, CA 91711, USA

  4. SuperPCA: subspace analysis and an efficient algorithm for high-dimensional PCA

    Sep 22, 2026Irina-Beatrice Haas, Maike Meier, Yuji Nakatsukasa +1Principal Component AnalysisSubspace

    Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK · Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, 9700 AB, Groningen, The Netherlands · Institute of Mathematics, EPFL, 1015 Lausanne, Switzerland

  5. Compute-Optimal Pretrain--Fine-tune in Ridge Gradient Descent

    Sep 14, 2026Alex Buna, Fanghui Liu, Patrick RebeschiniPretrainingModel Fine-Tuning

    Department of Statistics, University of Oxford, UK · School of Mathematical Sciences, Institute of Natural Sciences and MOE-LSC, Shanghai Jiao Tong University, China.

  6. EigenLI: Spectral Approximations to Late Interaction

    Sep 7, 2026Archish S, Sabyasachi Basu, Ankit Garg +2SubspaceSpectral Decomposition

    Temple · Microsoft Research India

  7. Restricted Eigenvalues Beyond Gaussian Width: Threshold Occupancy under Heavy Tails

    Sep 3, 2026Shi Fu, Huibo Xu, Qixin Zhang +1Non-GaussianityLong-Tailed Distribution

    Generative AI Lab, College of Computing and Data Science, Nanyang Technological University, Singapore

  8. Data-driven Koopman mode approximation: A neural power iteration algorithm

    Aug 27, 2026Guillaume O. Berger, Raphaël M. JungersKoopman OperatorNonlinear Dynamics

    ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium

  9. Spectral graph clustering with inhomogeneous latent geometry

    Aug 11, 2026Konstantin Avrachenkov, Lucas S. Sibemberg, Alexander Van WerdeGraph Edge SparsificationSpectral Decomposition

    Inria Sophia Antipolis, France · Federal University of Rio Grande do Sul, Brazil · University of Münster, Germany

  10. High-dimensional ridgeless least squares interpolation under spiked covariance structures

    Aug 7, 2026Zhijun Liu, Dandan JiangKernel Ridge RegressionCovariance

    College of Sciences, Northeastern University, China. · School of Mathematics and Statistics, Xi’an Jiao Tong University, China.

  11. Stable Density Ridges: Consistency and Convergence of Subspace Constrained Mean Shift

    Aug 5, 2026Wanli QiaoConvergenceSubspace

  12. Eigenius: A Typed Knowledge-Graph DBMS with Epistemic Stratification and Institution-Mediated Reasoning

    Aug 5, 2026Hans-Martin Will, Allen L. Brown, Matthew FuchsEpistemic State ReplicationKnowledge Graphs

    The Eigenius Project United States · Docimion United States

  13. Tight Worst-Case Bounds for the Smallest Eigenvalue of ReLU NTK Gram Matrices

    Aug 4, 2026Zhao SongRectified Linear UnitSpectral Decomposition

  14. A Riemannian View on Active Subspaces

    Jul 28, 2026Zachary GreyRiemannian ManifoldsGeodesic

  15. Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent

    Jul 24, 2026Peng ZhaoRegularizationQuadratic Slack Penalty

    Department of Applied Economics and Statistics · University of Delaware

  16. Koopman DCM: Unstable Eigenfunctions as Data-driven Representations for Legged Balancing

    Jul 21, 2026Stéphane CaronKoopman OperatorAgile Locomotion

    Institute for Intelligent Systems and Robotics CNRS and Sorbonne University, Paris, France

  17. Organization of computation in reservoir computing

    Jul 20, 2026Mohab Abdalla, Damien RontaniReservoir ComputingNonlinearity

    CentraleSupélec, Université de Lorraine, LMOPS EA-4423 Laboratory, 57070 Metz, France

  18. Spectral Origins of the Self-Correction Blind Spot in Autoregressive Generation

    Jul 9, 2026Ingrid Petrova, Luan VejsiuIterative Self-CorrectionAutoregressive Generation

    European University of Tirana

  19. Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima

    Jul 9, 2026Lachlan Ewen MacDonald, René VidalGradient DescentHessian

    Innovation in Data Engineering and Science (IDEAS) · University of Pennsylvania Pennsylvania, PA 19104

  20. Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces

    Jul 8, 2026Jiaqing Xie, Yuxin WangGraph Edge SparsificationGraph Laplacians

    Fudan University

  21. Fingerprint, Not Blueprint: How Positional Schemes Set the Default Spectral Algebra of Attention

    Jul 7, 2026Li HengyuMulti-Head AttentionSpectral

    Institute for Solid State Physics, The University of Tokyo

  22. PIEFS: Physics-Informed Eigenfunction Features with Learnable Scaling

    Jul 4, 2026Varvara Nazarenko, Timur Lidzhiev, Alexander TarakanovSpectral Representation MethodPhysics-Informed Learning

    Faculty of Computer Science, HSE University, Moscow, Russia · AI VK, Moscow, Russia

  23. Hierarchical Policy Learning via Spectral Decomposition

    Jun 28, 2026Shuxin Cao, Liquan Wang, Walker Byrnes +3TeleoperationHierarchical

    Georgia Institute of Technology, Atlanta, Georgia, USA · Georgia Tech Research Institute, Atlanta, Georgia, USA · Harvard University, Cambridge, Massachusetts, USA

  24. Closed-Form Steepest Descent Direction toward Flat Minima: Reducing Upper Bounds on the Loss Hessian Eigenspectrum in Neural Networks

    Jun 27, 2026Yuto Omae, Kazuki Sakai, Yohei Kakimoto +3HessianGradient Descent

    Nihon University (Japan) · National Institute of Technology, Nagaoka College (Japan) · Tokyo City University (Japan)

  25. Graph Dimensionality Reduction for Contextual Bandits: Structure-Specific Regret Bounds under Approximate Smoothness and Noisy Eigenspaces

    Jun 26, 2026Joyanta Jyoti Mondal, Ibne Farabi Shihab, Anuj SharmaContextual Bandit FrameworkDimensionality Reduction

    Department of Computer and Information Sciences, University of Delaware, USA · Department of Computer Science, Iowa State University, USA · Department of Civil, Construction & Environmental Engineering, Iowa State University, USA

  26. Spectral Perturbation of the Empirical Fisher Information Matrix under Weight Quantization

    Jun 26, 2026Rahid Zahid Alekberli, Hikmat KarimovFisher Information MatrixSpectral Decomposition

    Institute of Defense Technologies and Cybersecurity, Azerbaijan Technical University, Baku, Azerbaijan

  27. Ten Digits on a Train: AI-Assisted Verification of Two Eigenvalue Problems

    Jun 22, 2026Matthew J. ColbrookSpectral DecompositionMath Problems

    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA.

  28. Differential Spectral Damping Gap Adaptive Regularization for Ill-Conditioned Kernel Methods

    Jun 22, 2026Praveg VashishthaKernel MethodSingular Value Decomposition

    Department of Computer Science and Engineering, Indian Institute of Technology Patna, India · Sopra Banking Software India

  29. SOAP-Bubbles: Structured Weight Uncertainty for Neural Networks

    Jun 22, 2026Adrian Robert Minut, Nico Daheim, Marco Miani +3Bayesian Neural NetworksNeural Network Optimization

    Sapienza University of Rome, Rome, Italy · Ubiquitous Knowledge Processing Lab (UKP Lab), Department of Computer Science, Technical University of Darmstadt · Technical University of Denmark, Lyngby, Denmark +3

  30. Physics-Informed Neural Networks for Computing the Morse Index of the Critical Catenoid

    Jun 19, 2026Miraj SamarakkodyParametric Physics-Informed Neural NetworkNonlinear Operators

  31. An implicitization-based solution to the minimal 4s/6r ToA problem using Cayley--Menger determinants

    Jun 18, 2026Evgeniy MartyushevIndoor LocalizationHomography

    South Ural State University 76 Lenin Avenue, Chelyabinsk 454080, Russia

  32. Generalised Eigenvalue Geometry of Semantic Adversarial Attacks

    Jun 17, 2026Martin Anthony, Kaveh Salehzadeh NobariBlack-Box Adversarial AttacksParaphrasing

    Data Science Institute, London School of Economics and Political Science. · Department of Mathematics, London School of Economics and Political Science. · The Inclusion Initiative, London School of Economics and Political Science.

  33. Spectral DPPs via NEPv: A Scalable Continuous Relaxation of Determinantal MAP for Diversity-Aware Data Selection

    Jun 17, 2026Richard Yi Da XuDeterminantal Point ProcessSpectral Decomposition

    Hong Kong Baptist University · TadReamk Limited

  34. Ablation, Statistical Inference, and Validation for KV-Cache Compression

    Jun 14, 2026Paolo D'Alberto, Ashish Siarasao, Elliott Delaye +1Key-Value Cache CompressionResidual Vector Quantization

    Advanced Micro Devices, Inc.

  35. Geometric bias in eigenspace perturbation under random heterogeneous noise

    Jun 9, 2026Fengkai Liu, Ke Wang, Wanjie WangSpectral DecompositionLow-Rank Structure

    Department of Mathematics, Hong Kong University of Science and Technology · Department of Statistics and Data Science, National University of Singapore

  36. Neural Legendre-Fenchel transform with Hessian Preconditioning

    Jun 8, 2026Basile Plus-Gourdon, Frank NielsenSpectral PreconditioningHessian

    ´Ecole Normale Sup´erieure · Paris-Saclay, France · Sony Computer Science Laboratories Inc. +1

  37. Closed-Form Spectral Regularization for Multi-Task Model Merging

    Jun 5, 2026Yongxian Wei, Runxi Cheng, Xingxuan Zhang +4Continual Model MergingMulti--Task Learning

    Shenzhen International Graduate School, Tsinghua University, Shenzhen 518071, China · Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China · Sun Yat-sen University, Shenzhen 510275, China +1

  38. Efficient Mean Curvature Computation on High-Dimensional Data Manifolds

    Jun 4, 2026Alexandre L. M. LevadaData ManifoldLocal Curvature

    Federal University of São Carlos · 13565-905, São Carlos-SP, Brazil

  39. Monte Carlo Steklov Operators for Large-Scale Geometry Processing in the Wild

    Jun 4, 2026Arman Maesumi, Tanish Makadia, Aruna Anderson +3Mesh GenerationGraph Laplacians

    Brown University, USA · Loyola Marymount University, USA · Massachusetts Institute of Technology, USA

  40. Data-Driven Spectral Prediction for Accelerating Large-Scale Electronic Structure Calculations

    May 29, 2026Abhiram Badrinarayanan, Davor Davidovic, Edoardo Di Napoli +4Quantum ChemistryDensity Functional Theory

    Jülich Supercomputing Centre, Forschungszentrum Jülich, Germany · CEA / IRIG / MEM / L_Sim, France

  41. The Terminal Representation in Reinforcement Learning

    May 29, 2026Amir Esterhuysen, Anders JonssonOffline Reinforcement LearningRepresentation Learning

    Dept. Information and Communication Technologies Universitat Pompeu Fabra Barcelona, Spain

  42. Eigenvectors of Experts are Training-free Non-collapsing Routers

    May 29, 2026Giang Do, Hung Le, Truyen TranMixture-Of-Experts ArchitecturesExperts

    Applied Artificial Intelligence Intiative (A2I2), Deakin University, Victoria, Australia.

  43. Spectral Anatomy of Quantum Gaussian Process Kernels

    May 29, 2026Jian Xu, Chao Li, Guang Lin +4Quantum KernelsGaussian Process

    1RIKEN iTHEMS · 2RIKEN AIP · 3South China University of Technology +1

  44. Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data

    May 28, 2026Collin Cranston, Zhichao Wang, Todd Kemp +1Kernel MethodSpectral Decomposition

    Department of Mathematics University of California, San Diego, USA · ICSI and Department of Statistics University of California, Berkeley, USA · ICSI, LBNL and Department of Statistics University of California, Berkeley, USA

  45. EigeNet: Geometry-Informed Multi-Modal Learning for Few-shot Novel View RIR Prediction

    May 27, 2026Chong Jing, Zitong Lan, Junan Zhang +1Impulse ResponseSpatial Audio

    The Chinese University of Hong Kong, Shenzhen · University of Pennsylvania

  46. Quantum principal component analysis without eigenvector recovery

    May 27, 2026Yewei Yuan, Michele Minervini, Mark M. Wilde +1Principal Component AnalysisSpectral Decomposition

    Global College, Shanghai Jiao Tong University, Shanghai 200240, China · School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, United States · Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China +1

  47. Privately Estimating Monotone Statistics in Polynomial Time

    May 27, 2026Gavin Brown, Ephraim Linder, Mahbod Majid +1Optimal Sample ComplexityStatistical Inference

    University of Wisconsin–Madison · Boston University · MIT Mathematics +1

  48. Conditional KRR: Injecting Unpenalized Features into Kernel Methods with Applications to Kernel Thresholding

    May 25, 2026Rustem Takhanov, Zhenisbek AssylbekovKernel Ridge RegressionKernel Method

    Department of Mathematics, Nazarbayev University, Astana, Kazakhstan · Nazarbayev University Research Administration, Astana, Kazakhstan · Purdue University Fort Wayne, Indiana, USA.

  49. Analogies between Transformer Layers and Power Method

    May 25, 2026Chenglong Li, Claudio AltafiniTransformer ArchitecturesFeed-Forward

  50. From DPPs to kk-DPPs: identifiability analysis via spectral decomposition

    May 25, 2026Hideitsu Hino, Keisuke YanoIdentifiabilityDeterminantal Point Process

    The Institute of Statistical Mathematics, 10-3 Midori cho, Tachikawa City, 190-8562, Tokyo, Japan.

  51. Mean-Shift PCA by Knockoff Mean

    May 25, 2026Mengda Li, Zeng Li, Jianfeng YaoPrincipal Component AnalysisSpectral Decomposition

    School of Data Science, The Chinese University of Hong Kong, Shenzhen, China · Department of Statistics and Data Science, Southern University of Science and Technology, Shenzhen, China

  52. Learning Laplacian Eigenspace with Mass-Aware Neural Operators on Point Clouds

    May 23, 2026Zherui Yang, Tao Du, Ligang LiuGraph LaplaciansSpectral Decomposition

    University of Science and Technology of China, China · Tsinghua University, China · Shanghai Qi Zhi Institute, China +1

  53. Riemannian geometry meets fMRI: the advantages of modeling correlation manifolds and eigenvector subspaces

    May 21, 2026Mario Severino, Manuela Moretto, Robert A. McCutcheon +1Full-Rank Correlation MatricesHuman Brain Networks

    Department of Information Engineering, University of Padova, Padova, Italy · Department of Neuroimaging, Institute of Psychiatry, Psychology and Neuroscience (IoPPN), King’s College London, London, United Kingdom · Department of Psychiatry, University of Oxford, Warneford Hospital, Warneford Ln, Headington, Oxford OX3 7JX, United Kingdom +2

  54. Latent Geometry as a Structural Monitor: Eigenspace Alignment for Anomaly Detection in Anonymity Networks

    May 19, 2026Vaibhav ChhabraThreat DetectionAnonymization

    USPTO Patent #64/034,500

  55. Learning Orthonormal Bases for Function Spaces

    May 19, 2026Hamidreza Kamkari, Mohammad Sina Nabizadeh, Justin SolomonBasis FunctionsOrthogonality

    MIT CSAIL Cambridge, MA

  56. Multi-task Linear Regression without Eigenvalue Lower Bounds: Adaptivity, Robustness, and Safety

    May 16, 2026Seok-Jin KimRegularizationSpectral Decomposition

    Columbia IEOR

  57. CHASM: Cross-frequency Harmonized Axis-Separable Mixing for Spectral Token Operators

    May 14, 2026Pengcheng Fang, Hongli Chen, Yuxia Chen +3Frequency-Aware RegularizationSpectral Decomposition

    University of Southampton · University of Queensland · 3Chengdu University of Technology +1

  58. On Kernel Eigen-alignments of KRR: Reconstruction and Generalization

    May 14, 2026Yang Liu, Ernest Fokoue, Richard Lange +1Kernel Ridge RegressionSpectral Decomposition

    Galisano College of Coumputing and Information Science · Rochester Institute of Technology · Rochester, NY +1

  59. Randomized Atomic Feature Models for Physics-Informed Identification of Dynamic Systems

    May 14, 2026Rajiv Singh, Mario Sznaier, Lennart LjungSystem IdentificationAtom-Averaged Features

    ∗The MathWorks Inc., 1 Apple Hill Drive, Natick, MA 01760 USA · ∗∗ECE Dept., Northeastern University, Boston, MA 02115, USA · ∗∗∗Div. of Automatic Control, Linköping University, Sweden

  60. Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology

    May 14, 2026Jesseba Fernando, Grigori GuitchountsTransformer Residual StreamsResidual Stream

    Network Science Institute, Northeastern University · Flagship Pioneering