Spectral Methods

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17 papers in the last four weeks, up 42% on the four weeks before. 0.2% of all new papers.

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  1. Invariant Shape Analysis of Surfaces with Spherical Topology

    Sep 30, 2026T. Shaska, M. -R. SiadatSpherical HarmonicsSpectral Methods

  2. Bounded Channel-Adaptive Spectral Learning for Forward-Consistent Inverse Flapping-Wing Aerodynamics

    Sep 30, 2026Haichuan LiRecurrent Neural NetworksSpectral Methods

    University of Turku

  3. Flattening the Connectome Spectrum: A Spectral Filter for FC Induces a Pretraining Target for fMRI Encoders

    Sep 29, 2026Giovanni Marraffini, Victoria Shevchenko, Carlo Alberto Barbano +1Kernel Ridge RegressionMedical Imaging Foundation Models

    UNITO · MIND

  4. Learning Conditional Expectation Operators via Functional Newton Updates

    Sep 28, 2026Thiago Ramos, Alek Fröhlich, Daniel Perazzo +1Density Ratio EstimationLow-Rank Approximation

    Federal University of São Carlos · CSML, Istituto Italiano di Tecnologia and University of Genoa · CSML, Istituto Italiano di Tecnologia and University College London

  5. Hierarchical Clustering and Signal Denoising on Digraphs

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

    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

  6. TNF based Spectral Embedding for Effective Application of Supervised Machine Learning Techniques in Automobile Insurance Fraud Detection

    Sep 27, 2026Rohan Yashraj Gupta, Lalith Srikanth Chintalapati, Satya Sai Mudigonda +2Financial Fraud DetectionSpectral Methods

    Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Vidyagiri, Puttaparthi, Andhra Pradesh, India.

  7. Disentangling Heterogeneous Traffic Dynamics for Multi-Step Traffic Forecasting via Adaptive Spectral Decomposition

    Sep 22, 2026Zijun Huang, Chenrui Fu, Wenhao Wang +3Time Series DecompositionSpatiotemporal Forecasting

    Beijing Normal-Hong Kong Baptist University · Dalian Maritime University · National Chung Hsing University

  8. Topological Signal Processing With Unoriented Operators

    Sep 21, 2026Andrea Cavallo, Varun Sarathchandran, Geert Leus +1Graph Signal ProcessingSpectral Methods

    Delft University of Technology, Delft, Netherlands

  9. Training-Free Spectral Transductive Refinement for Cross-Domain Few-Shot Classification

    Sep 20, 2026Fahim Rahman, S. M. Tanjeeb Meheran Rohan, Md. Taimum Ibne Sayed +2Few-Shot LearningSpectral Methods

    Department of Computer Science and Engineering Islamic University of Technology Gazipur, Bangladesh

  10. Provable Guarantees for Spectral Structured Prediction

    Sep 16, 2026Violet Zheng, Jean HonorioSpectral MethodsNode Classification

    CIS, The University of Melbourne

  11. Geometry vs Structure: Graph-Based Diagnostics for LiDAR Point-Cloud Simulation Fidelity

    Sep 14, 2026Ghazal Farhani, Taufiq RahmanDigital TwinsSpectral Methods

    Automotive and Surface Transportation Research Centre, National Research Council Canada, London, Ontario, Canada.

  12. Principal-timestep Restricted Init via Sparse Matrix-decomposition in Flow-matching

    Sep 14, 2026Jiayang Gu, Zheng Fang, Lichaun Xiang +3Flow MatchingDiffusion Model Fine-Tuning

    University of Warwick · Bytedance

  13. Robust small-molecule identification from incomplete, degraded, and inconsistent spectra using multimodal mixed-condition training

    Sep 13, 2026Bowen Gao, Lei Zhu, Yiying Wang +1Missing-Modality LearningMultimodal Robustness

    State Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 865 Changning Road, Shanghai 200050, China

  14. When does a spectral prior help graph learning? Connectivity-loss estimation under road-network disruptions

    Sep 11, 2026Van-Truong LeGraph Neural NetworksSpectral Methods

    Faculty of Information Technology, University of Science, Viet Nam National University Ho Chi Minh City, Viet Nam

  15. Learning structural balance of graphs from quantum spectral features

    Sep 11, 2026Stefano Scali, Oleksandr KyriienkoQuantum Machine LearningSpectral Methods

    Department of Physics and Astronomy, University of Exeter, Exeter EX4 4QL, UK · School of Mathematical and Physical Sciences, University of Sheffield, Sheffield S10 2TN, UK

  16. Predicting Privacy Leakage from Weight Spectral Density

    Sep 10, 2026Richard J. Preen, Jim SmithPrivacy AuditingMembership Inference Attacks

    Department of Computer Science and Creative Technologies University of the West of England Bristol, UK BS16 1QY

  17. MiNCE: Nonparametric, Strongly Consistent Confidence Envelopes for Band-Limited Functions and their Smoothed Spectra

    Sep 8, 2026Balázs Csanád Csáji, Bálint HorváthConfidence Region EstimationNonparametric Regression

    HUN-REN SZTAKI: Institute for Computer Science and Control, Budapest, Hungary · Institute of Mathematics, Eötvös Loránd University (ELTE), Budapest, Hungary

  18. Geometry-Aware Graph Construction via Adaptive Spectral Bandwidth Control

    Sep 3, 2026Ecem Bozkurt, Antonio OrtegaGraph Structure LearningGraph-Based Semi-Supervised Learning

    Department of Electrical and Computer Engineering University of Southern California, Los Angeles, CA, USA

  19. What is Smoothness?

    Sep 3, 2026Zachary P BradshawSpectral Methods

    QodeX Quantum

  20. A Computational Comparison of Fourier Spectral Differentiation and Spatial Automatic Differentiation in Periodic Physics-Informed Neural Networks

    Sep 2, 2026Xilai Liang, Zhao ZhangPhysics-Informed MLAutomatic Differentiation

    Guangdong Technion–Israel Institute of Technology, Shantou, Guangdong, China · Research Centre for Mathematics and Interdisciplinary Sciences, Shandong University, Qingdao, Shandong Province, 266237, China

  21. Selective Knowledge Edit Reversal via Gated Singular Vector Shrinkage

    Sep 2, 2026Weifeng Jiang, Ruirui Chen, Qianren Mao +3Knowledge EditingLLM Safety

    College of Computing and Data Science, Nanyang Technological University, Singapore. · Digital Trust Centre, Nanyang Technological University, Singapore. · Institute of Advanced Intelligence and Computing, Agency for Science, Technology and Research, Singapore. +2

  22. Joint Spatiotemporal Spectral Neural Operators for Learning PDEs on Irregular Domains

    Aug 30, 2026Abdolmehdi Behroozi, Chaopeng ShenPDE Surrogate ModelingPDE Operator Learning

    Department of Civil and Environmental Engineering, Penn State University, University Park, PA 16802, USA

  23. Cone Rayleigh Levels: Finite Perturbations and Certified Control

    Aug 27, 2026Yavdat Sh. Il'yasov, Nur F. ValeevRobust OptimizationSpectral Methods

    Institute of Mathematics with Computing Centre, Ufa Federal Research Centre of the Russian Academy of Sciences, 112 Chernyshevsky St., Ufa 450008, Russia.

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

    Aug 27, 2026Guillaume O. Berger, Raphaël M. JungersKoopman Operator LearningSpectral Methods

    ICTEAM, UCLouvain, Louvain-la-Neuve, Belgium

  25. Decision Tree and K-Means Analysis of Raman Spectra for Edible Oils: A Physics-Informed AI Approach

    Aug 20, 2026Amrita Shaw, Chandrasekar S. N., Sai Muthukumar V. +2Physics-Informed MLRaman Spectroscopy

    Department of Food and Nutritional Sciences, Sri Sathya Sai Institute of Higher Learning, Vidyagiri, Prasanthi Nilayam, Sri Sathya Sai District, Andhra Pradesh, India – 515134. · Aix-Marseille University, Marseille, 13007, France. · Department of Physics, Sri Sathya Sai Institute of Higher Learning, Vidyagiri, Prasanthi Nilayam, Sri Sathya Sai District, Andhra Pradesh, India – 515134. +1

  26. Attributing Preprocessing Invariance in Spectral Foundation Models

    Aug 14, 2026Dongjun Wei, Hongyi WuTransfer LearningRaman Spectroscopy

    ESCP Business School, Paris · OpluxCare Tech Group Ltd. · The University of Hong Kong, Hong Kong

  27. Spectral graph clustering with inhomogeneous latent geometry

    Aug 11, 2026Konstantin Avrachenkov, Lucas S. Sibemberg, Alexander Van WerdeSpectral ClusteringGraph Clustering

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

  28. When Your State Estimator Has Lost The Plot: Detecting Estimator Failures Via Spectral Analysis

    Aug 11, 2026Christian Lanegger, Helen Oleynikova, Roland Siegwart +1Spectral MethodsRobot State Estimation

    Autonomous Systems Lab, ETH Zurich, Switzerland · Exclaim Robotics, Zurich, Switzerland

  29. DualSpectralCF: Training-Free Sign-Aware Spectral Collaborative Filtering

    Aug 10, 2026Guanqun Yang, Tong Qi, Xiaoxue HanRecommender SystemsSpectral Methods

    Stevens Institute of Technology Hoboken, NJ, USA · University of Maryland, College Park College Park, MD, USA

  30. Multi-kernel spectral clustering: Entrywise eigenvector perturbation bounds and exact recovery

    Aug 9, 2026Zeqin Lin, Guangming Pan, Zhixiang Zhang +1ClusteringUnsupervised Clustering

    1Nanyang Technological University · University of Macau · 3Dalian University of Technology

  31. From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning

    Aug 7, 2026Zhentao Tan, Ruijie Quan, Yi YangPDE Surrogate ModelingPDE Operator Learning

    Collaborative Innovation Center of Artificial Intelligence (CCAI), Zhejiang University, China

  32. Explicit and Stable Pseudospectral Time-Domain Method for the Föppl-von Kármán Equations

    Aug 6, 2026Victor Zheleznov, Stefan BilbaoPDE SolvingStructural Mechanics

    Acoustics and Audio Group, University of Edinburgh, Edinburgh, UK · STMS (UMR9912), IRCAM, CNRS, Sorbonne Universit´e, Paris, France

  33. Spectral Distillation: From Nonlinear Dynamics to Linear State-Space Models

    Aug 5, 2026Liane Galanti, Devan Shah, Shlomo Fortgang +1Dynamical SystemsNonlinear System Identification

    Princeton University

  34. Physics-Based Molecular Fingerprints from Spectral Graph Theory Provide Efficient Geometry-Aware Measures of Chemical Similarity

    Aug 5, 2026Jacob W. Toney, Ayleen Y. Farnood, Samir Darouich +13D Representation LearningSpectral Methods

    Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA · Center for Computational Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA · Institute for Theoretical Chemistry, University of Stuttgart, 70569 Stuttgart, Germany +2

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

    Aug 4, 2026Zhao SongReLU Neural NetworksSpectral Methods

  36. Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon

    Aug 4, 2026Gongyue Zhang, Honghai LiuNeural Network OptimizationMuon Optimizer

    State Key Laboratory of Robotics and Systems, Harbin Institute of Technology, Shenzhen, Shenzhen, 518055, China.

  37. RamanPFN: learning from Raman spectral structure with a tabular foundation model

    Aug 3, 2026Xingyu Pan, Huan Wang, Jinjia Guo +3Tabular Foundation ModelsRepresentation Learning

    Beihang University · Cleer Science

  38. Sheaf-theoretic Signal Processing on Graphs: Spectral Theory, Filtering, and Sampling

    Aug 2, 2026Gabriele D'Acunto, Leonardo Di Nino, Paolo Di Lorenzo +1Graph Signal ProcessingSheaf Theory

    Department of Information Engineering, Electronics, and Telecommunications, Sapienza University of Rome, 00184 Rome, Italy · National Inter-University Consortium for Telecommunications (CNIT), Parma, Italy

  39. Rethinking Total Absorption Gamma Spectroscopy Deconvolution: Supervised Machine Learning vs Response-Matrix Methods

    Jul 30, 2026J. Balibrea-Correa, E. N{á}cher, C. Fonseca-Vargas +1Spectral MethodsInverse Problems

    Instituto de Física Corpuscular, CSIC - Universidad de Valencia, Spain, 46980, Valencia, Spain

  40. Dynamic Spectral Filtering for Temporal Graph Learning: Learning Evolving Propagation Operators

    Jul 30, 2026Yan KongTemporal GNNsTemporal Link Prediction

    Nanjing University of Information Science and Technology, China

  41. Breaking the Periodicity Assumption: Robust Tensorial Multi-View Clustering via Graph-Spectral Low-Rank Learning

    Jul 28, 2026Jintian Ji, Xingsu Li, Songhe FengRepresentation LearningMulti-View Learning

    Computer Science and Engineering The Hong Kong University of Science and Technology Hong Kong, China · School of Computer and Information Technology Beijing Jiaotong University, Beijing, China

  42. Spectral Truncation in Synthetic Control

    Jul 27, 2026Mojtaba EslamiSpectral RegularizationCausal Effect Estimation

    University of Calgary

  43. Perturbative-NeuSA: A Structured Spectral Framework for Time-Dependent PDEs

    Jul 27, 2026Xianli Zhu, Jia YinNeural Surrogate ModelingNeural PDE Solvers

    School of Mathematical Sciences, Fudan University Shanghai, China

  44. Quantum Spectral Model: Data Reuploading with Input-Conditioned Frequency Support

    Jul 24, 2026Peiyong Wang, Udaya Parampalli, Casey R. MyersQuantum Machine LearningSpectral Methods

    CSIRO Technology · Research Way, Clayton VIC 3168, Australia · School of Computing and Information Systems +6

  45. Spectral Dynamics of Semantic Drift in Clinical Multi-Agent Language Model Networks

    Jul 23, 2026Amritesh BanerjeeLanguage ModelingSpectral Methods

    University of Massachusetts Amherst, USA

  46. Filter Learning for Subgraphs: Algebras and Performance Risk Bounds

    Jul 23, 2026Purui Zhang, Feng Ji, Yanan Zhao +2Graph Signal ProcessingSpectral Methods

  47. Regularized Optimization on Grassmann Manifold: Theory, Algorithm and Applications

    Jul 23, 2026Zhuan Liang, Zheng ZhaiSpectral RegularizationRiemannian Optimization

    Department of Statistics, Faculty of Arts and Sciences at Beijing Normal University, Zhuhai

  48. Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs

    Jul 15, 2026Manuel Fernandez, Yizhe ZhuGraph ClusteringSpectral Methods

    Department of Mathematics, University of Southern California

  49. Spectral-Informed Neural Networks Outperform Spectral Methods in High-dimensional PDEs

    Jul 15, 2026Tianchi Yu, Ivan OseledetsPDE SolvingPhysics-Informed ML

    1AXXX · 2Applied AI Institute · 3INM

  50. The Spectral Structure of Latent Treatment Effects

    Jul 12, 2026Hamza Virk, Bijan Mazaheri, Yihren WuCausal Effect EstimationLatent Variable Models

    1Dartmouth College · 2Broad Institute of MIT and Harvard · 3Hofstra University

  51. Complexity-Guided Component-wise Initialization for Language Model Pretraining

    Jul 10, 2026Konstantin Garbers, Nicholas OhLanguage Model PretrainingNeural Network Initialization

    Peking University Beijing, China

  52. Group Invariant Spectral Embedding

    Jul 9, 2026Yeari Vigder, Paulina Hoyos, David Thong +3Manifold LearningDimensionality Reduction

    Department of Statistics and Operations Research, Tel Aviv University, Tel Aviv, Israel · Department of Mathematics, University of Texas at Austin, Austin, TX, USA · Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden

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

    Jul 8, 2026Jiaqing Xie, Yuxin WangPositional EncodingSpectral Methods

    Fudan University

  54. Quantum Spectral Anomaly Detection

    Jul 6, 2026Yewei Yuan, Michele Minervini, Mark M. Wilde +1Spectral MethodsAnomaly Detection

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

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

    Jul 4, 2026Varvara Nazarenko, Timur Lidzhiev, Alexander TarakanovSpectral RegularizationRepresentation Learning

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

  56. Spectral Signatures of Large Language Models

    Jul 3, 2026Zhuoying Zhang, Ishan V. Prasad, Yuanzhe Hu +4LLM EvaluationLanguage Model Fingerprinting

    Dartmouth College Hanover, NH, USA · University of California, Berkeley Berkeley, CA, USA · Lawrence Berkeley National Laboratory Berkeley, CA, USA

  57. Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians

    Jul 3, 2026Dominic Lowe, M. S. Kim, Roberto Bondesan +1Spectral MethodsPersistent Homology

    Blackett Laboratory, Imperial College London, SW7 2AZ, United Kingdom · Department of Computing, Imperial College London, SW7 2AZ, United Kingdom · Yukawa Institute for Theoretical Physics & The Hakubi Center, Kyoto University, Japan

  58. Recovering Candidate Circadian Regulators of Arrhythmic Pituitary Hormone Genes Using Reliability-Weighted Magnetic Laplacian with rwMagLap

    Jul 3, 2026Shabnam Sodagari, Nick JaspersonGraph Signal ProcessingGraph-Based Retrieval

  59. Repair the Amplifier, Not the Symptom: Stable World-Model Correction for Agent Rollouts

    Jul 2, 2026Xinyuan Song, Zekun CaiSpectral MethodsLong-Horizon LLM Agents

    Emory University, Atlanta, GA, USA · The University of Tokyo, Tokyo, Japan · LocationMind, Tokyo, Japan

  60. Characterizing Optimizer-Dependent Training Dynamics Through Hessian Eigenvector Displacement and Localization

    Jun 29, 2026Marcelina Marjankowska, Valerio Modugno, Paolo BaruccaSpectral MethodsAdaptive Gradient Methods

    Financial Computing and Analytics Group, University College London · Robot Perception and Learning Lab, University College London