Graph Laplacians

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6 papers in the last four weeks, up 20% on the four weeks before. 0.1% of all new papers.

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  1. Learning Commute-Time-Preserving World Models for Planning

    Oct 1, 2026Michael Hauri, Peter Buttaroni, Fabian A. Mikulasch +1Latent World ModelsWorld Models

    Friedrich Miescher Institute for Biomedical Research, Basel, Switzerland · Faculty of Science, University of Basel, Switzerland

  2. Clifford Sheaf Neural Networks

    Oct 1, 2026Kotaro Kamiya, Joel NichollsSheaf Neural NetworksSheaf

    SyntheticGestalt KK

  3. Fractional Laplace Neural Operators: Exact Architectures, an Expressivity Frontier at Criticality, and Certified Stability for Memory-Driven Network Dynamics

    Sep 30, 2026Mauricio Herrera-MarínFourier Neural OperatorsNeural Operators

    Facultad de Ingenier´ıa, Universidad del Desarrollo, Santiago, Chile

  4. GRFBrain: Graph-Structured Rectified Flows for EEG Dynamic Modeling

    Sep 29, 2026Haohui Jia, Zheng Chen, Jathurshan Pradeepkumar +4Functional ConnectivityElectroencephalography

    Faculty of Information Science and Technology, Hokkaido University, Japan · SANKEN, The University of Osaka, Japan · Department of Computer Science, University of Illinois Urbana-Champaign, USA +1

  5. Graph Learning with Spectral Connectivity Priors for Scarce Data

    Sep 23, 2026Mingxiao Liu, Bahar Oveisgharan, Bingyan Zou +3Graph Edge SparsificationGraph Laplacians

    Tsinghua University, China · York University, Canada

  6. Fast Graph Laplacian Estimation using Effective Resistance

    Sep 20, 2026Christoffer Kjellson, Claudio Altafini, Emma TeglingGraph LaplaciansGraph Signal Processing

    Department of Automatic Control, Lund University · ELLIIT Strategic Research Area · Division of Automatic Control, Department of Electrical Engineering, Linköping University

  7. Laplacian Frequency Hierarchies for Efficient 3D Gaussian Splatting Training

    Sep 3, 2026Yixiong Yang, Sisheng Zhang, Qingsong Yan +23D GaussianLarge-Scale 3D Editing Dataset

    Harbin Institute of Technology, Shenzhen, China · XGRIDS, China

  8. Converse and Collision-Based Achievability for Node Localization with Hybrid Distance-Spectral Graph Positional Encodings

    Aug 31, 2026Zimo Yan, Yifan Li, Hao Li +4Positional EncodingGraph Laplacians

    National University of Defense Technology, Changsha, China · Wuhan University, Wuhan, China

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

    Aug 30, 2026Abdolmehdi Behroozi, Chaopeng ShenNeural OperatorsPartial Differential Equations

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

  10. Difference-of-Convex Regularization for Graph Learning by Differentiable Programming

    Aug 13, 2026Liping Tao, Chee Wei TanGraph LaplaciansGraph Representation Learning

    College of Computing and Data Science, Nanyang Technological University, Singapore 639798

  11. Spectral Embeddings of Degree-αα Laplacians in Random Dot Product Graphs

    Aug 11, 2026John Park, Ning HaoGraph Edge SparsificationGraph Laplacians

    University of Hong Kong · University of Arizona

  12. Standalone DINOv3 for Training-Free Open-Vocabulary Semantic Segmentation in Remote Sensing

    Aug 4, 2026Changhao Zhao, Haoxiang Li, Yuke Li +2Open-Vocabulary SegmentationSemantic Segmentation

    College of Resources and Environment, Huazhong Agricultural University, Wuhan 430070, China

  13. Fermat Active Laplace Learning for Semi-Supervised Hyperspectral Image Classification

    Aug 3, 2026Vutichart Buranasiri, James M. MurphyHyperspectral ImageLabel Propagation

    Department of Mathematics Tufts University Medford, MA 02155, USA

  14. Nonlinear Laplacians Improve Signed-Directed Graph Learning

    Aug 1, 2026Ali Parviz, Yuichi YoshidaGraph LaplaciansGraph Neural Networks

    Mila - Quebec AI Institute · New Jersey Institute of Technology · National Institute of Informatics (NII) +1

  15. Data-Driven Diffusion Processes on Differential Forms via the Projected Ambient Connection Laplacian

    Jul 25, 2026Alvaro Almeida Gomez, Jorge Duque FrancoGraph LaplaciansDiscretization

    Centro de Modelamiento Matemático (CNRS IRL 2807), Universidad de Chile, Beaucheff 851, Santiago, Chile · Dirección de Investigación, Vicerrectoría Académica, Instituto de Matemáticas, Universidad de Talca, Casilla 721, Talca, Chile

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

    Jul 23, 2026Purui Zhang, Feng Ji, Yanan Zhao +2Spectral FilteringSubgraphs

  17. Laplacian Spectral Shaping for Non-Uniform Scaling Formation Control of Open Multi-Agent Systems

    Jul 18, 2026Tao He, Gangshan JingOptimistic Follow-The-Regularized-LeaderGraph Laplacians

    School of Automation, Chongqing University, Chongqing, 400044, PRC

  18. From Self-Attention to Connection Laplacian: A Unified Operator View of Transformers

    Jul 12, 2026Binbin Lin, Wei Chen, Yalun Li +3Transformer AttentionLinear Attention

    School of Software Technology, Zhejiang University, China · College of Computer Science and Technology, Zhejiang University, China · Alibaba Cloud, China

  19. Mathematics of Data Science

    Jul 11, 2026Afonso S. Bandeira, Amit Singer, Thomas StrohmerDimensionality ReductionMathematics

    ETH Zürich · Princeton University · UC Davis

  20. Group Invariant Spectral Embedding

    Jul 9, 2026Yeari Vigder, Paulina Hoyos, David Thong +3Graph Edge SparsificationSymmetry

    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

  21. LDFE: Laplacian Decoupled Feature Enhancement Block for Dual-Stream CNN-based RGB-IR Object Detection

    Jul 9, 2026Wenhao Dong, Xiaoyan Luo, Linlin Yang +4Rgb-Thermal Object DetectionObject Detection

    Beihang University, Beijing, 102206, China · State Key Laboratory of High-Efficiency Reusable Aerospace Transportation Technology, The School of Astronautics, Beihang University, Beijing, 102206, China · The National Key Laboratory of Integrated Air-Ground Navigation Technologies, The School of Astronautics, Beihang University, Beijing, 102206, China +7

  22. 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

  23. On the convergence of graph Laplacians with a symmetric divergence

    Jul 7, 2026Liane XuGraph LaplaciansRiemannian Manifolds

    Program in Applied and Computational Mathematics, Princeton University

  24. A Near-Linear-Time Solver for Graph pp-Laplacian Semi-Supervised Learning via Continuation in pp

    Jul 3, 2026Oren E. LivneGraph LaplaciansSolver Iterations

    Pine Birch Analytics, Churchville, PA

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

    Jul 3, 2026Shabnam Sodagari, Nick JaspersonPeriodicRegulatory Networks

  26. fTNN: a tensor neural network for fractional PDEs

    Jun 25, 2026Qingkui Ma, Hehu Xie, Xiaobo YinFourier Neural OperatorsPartial Differential Equations

    School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China · SKLMS, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No.55, Zhongguancun Donglu, Beijing 100190, China · School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China +1

  27. Coarse-to-Fine: A Hybrid Self-Supervised Method for Non-rigid 3D Shape Matching

    Jun 25, 2026Feifan Luo, Ting Li, Zhao Li +1Shape CorrespondenceCoarse-To-Fine

    Zhejiang University, China · Zhejiang Lab, China · Wenzhou University of Technology, China

  28. Can Aggregate Invariants Accelerate Continuous Subgraph Matching? Limits, Laws, and a Dynamic Spectral Index

    Jun 23, 2026Minghao Chen, Jiale ZhengSubgraphsGraph Laplacians

    Tencent Technology Shenzhen, China · HUAWEI Noah’s Ark Lab Shenzhen, China

  29. Collapsed Effective Operators for Higher-order Structures

    Jun 22, 2026Maximilian Krahn, Lennart Bastian, Vikas Garg +2Higher-Order StructuresGraph Laplacians

    Department of Computing, Imperial College London, London, UK · Chair of Health Informatics, Technical University of Munich, Germany · Munich Center for Machine Learning, Germany +2

  30. Hierarchical Pooling for Sheaf Neural Networks

    Jun 18, 2026Dionisia Naddeo, Carlo Abate, Pietro Liò +2Sheaf Neural NetworksSheaf

    UiT The Arctic University of Norway · UiT The Arctic University of Norway NORCE Norwegian Research Centre AS

  31. Thermodynamic Signatures of Reasoning: Free-Energy and Spectral-Form-Factor Diagnostics for Hallucination Detection in Large Language Models

    Jun 17, 2026Salim KhazemHallucination DetectionSpectral

    Talan Research & Innovation Center

  32. Geometrical fairness in graph neural networks

    Jun 16, 2026Arturo Pérez-Peralta, Sandra Benítez-Peña, Blas Kolic +1Algorithmic FairnessPhysics-Guided Diffusion

    Department of Statistics, University Carlos III of Madrid, Spain · uc3m-Santander Big Data Institute

  33. Finsler Geometry, Graph Neural Networks, and You

    Jun 15, 2026T. Mitchell Roddenberry, Richard G. BaraniukGraph LaplaciansGraph Neural Networks

    Rice University, Houston, TX, USA

  34. Analytic Torsion and Spectral Gap Capture Persistent-Laplacian Performance

    Jun 15, 2026Jernej Grlj, Aaron D. LaudaPersistent HomologyGraph Laplacians

    Department of Mathematics University of Southern California Los Angeles, CA 90089 · Department of Mathematics Department of Physics University of Southern California Los Angeles, CA 90089

  35. Understanding Truncated Positional Encodings for Graph Neural Networks

    Jun 11, 2026James Flora, Mitchell Black, Weng-Keen Wong +1Graph Neural NetworksPositional Encoding

    School of Electrical Engineering and Computer Science, Oregon State University, Corvallis, Oregon, USA · Halıcıoğlu Data Science Institute, University of California San Diego, San Diego, California, USA.

  36. LEGS: Laplacian-Enhanced Gaussian Splatting with a Nonlinear Weighted Loss

    Jun 6, 2026Yongfei Guo, Qizhou Huo, Xuan Sun +1Gaussian SplattingGraph Laplacians

    Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, China · University of Chinese Academy of Sciences, Beijing, China

  37. 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

  38. Distributed Non-Uniform Scaling Control of Multi-Agent Formation with Dynamic Agent Joining

    May 28, 2026Tao He, Gangshan JingAdvanced Jet TrainerGraph Laplacians

    School of Automation, Chongqing University, Chongqing, China

  39. Anomaly as Non-Conformity via Training-Free Graph Laplacian Energy Minimization

    May 27, 2026Jungwook Seo, Minjeong Kim, Younkwan Lee +2Graph LaplaciansNonconformity Scores

    Dept. of Artificial Intelligence, Hanyang University · Global Technology Research, Samsung Electronics · Dept. of Data Science, Hanyang University

  40. Learning manifold diffusion semigroups from graph transition matrices

    May 25, 2026Xiuyuan Cheng, Nan WuGraph LaplaciansPhysics-Guided Diffusion

    Department of Mathematics, Duke University · Department of Mathematical Sciences, The University of Texas at Dallas

  41. 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

  42. Neural Acceleration for Graph Partitioning

    May 18, 2026Joshua Dennis Booth, Vishvam PatelGraph Edge SparsificationPartitioning

    Department of Computer Science University of Alabama in Huntsville Huntsville AL, USA

  43. Prism: Structural Symmetry Scanning via Duality-Constrained Laplacian Projection

    May 18, 2026Jiatong XieGraph LaplaciansPrism

    Independent researcher.

  44. Learning Higher-Order Structure from Incomplete Spatiotemporal Data: Multi-Scale Hypergraph Laplacians with Neural Refinement

    May 17, 2026Keshu Wu, Sixu Li, Zihao Li +3HypergraphsGraph Laplacians

    Texas A&M University · University of Wisconsin-Madison

  45. Topology-Preserving Neural Operator Learning via Hodge Decomposition

    May 13, 2026Dongzhe Zheng, Tao Zhong, Christine Allen-BlanchetteNeural OperatorsGraph Laplacians

    Princeton University

  46. Multi-Agent System Identification with Nonlinear Sheaf Diffusion

    May 11, 2026Nivar Anwer, Hans Riess, Matthew HaleSheaf Neural NetworksMulti-Agent Communication

    Department of Computer Science, Georgia Tech · Department of Electrical & Computer Engineering, Georgia Tech

  47. Oversmoothing as Representation Degeneracy in Neural Sheaf Diffusion

    May 11, 2026Arif Dönmez, Axel Mosig, Ellen Fritsche +1Sheaf Neural NetworksSheaf

    IUF – Leibniz Research Institute for Environmental Medicine, Düsseldorf, Germany · DNTOX GmbH, Düsseldorf, Germany · Bioinformatics Group, Ruhr University Bochum, Bochum, Germany +1

  48. Optimality of Sub-network Laplace Approximations: New Results and Methods

    May 9, 2026Swarnali Raha, Kshitij Khare, Rohit K PatraNeural ApproximationsBayesian Neural Networks

    Department of Statistics University of Florida Gainesville, FL · Linkedin Inc. New York, NY

  49. Towards Scalable Persistence-Based Topological Optimization

    May 9, 2026Abderrahim Bendahi, Alexandre Duplessis, Arnaud FickingerTopology OptimizationPersistent Homology

    ENS Ulm, PSL Paris, France · UC Berkeley Berkeley, CA, USA

  50. High-Fidelity Surface Splatting-Based 3D Reconstruction from Multi-View Images

    May 8, 2026Nandhana Sunil, Abhirami R Iyer, Avirup MandalSurface Reconstruction3D Reconstruction

    IIT Palakkad, India

  51. Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves

    May 7, 2026Kartik Tandon, Julian Gould, Tanishq Bhatia +3Geometric Deep LearningGeometric Machine Learning

    University of Pennsylvania · Sakana AI · Northeastern University +1

  52. Gaussian mixture models in Hilbert spaces via kernel methods

    May 7, 2026Daniel López-Montero, Antonio Álvarez-López, Marcos MatabuenaKernel Hilbert SpacesGaussian Mixture Models

    Friedrich-Alexander-Universität Erlangen-Nürnberg · Universidad Autónoma de Madrid · Mohamed bin Zayed University of Artificial Intelligence

  53. Sparse Graph Learning from Sparse Data via Fiedler Number Maximization

    Apr 28, 2026Bahar Oveisgharan, Gene Cheung, Andrew EckfordGraph Edge SparsificationGraph Laplacians

    York University, Canada

  54. Shared-kernel Wavelet Neural Networks for Poisson Image Reconstruction

    Apr 27, 2026Yuanhao Gong, Tan Tang, Qianyan LiuImage ReconstructionGraph Laplacians

  55. LaplacianFormer:Rethinking Linear Attention with Laplacian Kernel

    Apr 22, 2026Zhe Feng, Sen Lian, Changwei Wang +5Linear AttentionTransformer Architectures

    1MAIS,Institute of Automation, Chinese Academy of Sciences · usr 3China Electronics Data Corporation · 5The Key Laboratory of Computing Power Network and Information Security, Ministry of Education, Shandong Computer Science Center, Qilu University of Technology +4

  56. Improved large-scale graph learning through ridge spectral sparsification

    Apr 22, 2026Daniele Calandriello, Ioannis Koutis, Alessandro Lazaric +1Graph Edge SparsificationGraph Laplacians

    SequeL team, INRIA Lille - Nord Europe, France · LCSL, IIT, Italy · New Jersey Institute of Technology, USA +1

  57. S2MAM: Semi-supervised Meta Additive Model for Robust Estimation and Variable Selection

    Apr 21, 2026Xuelin Zhang, Hong Chen, Yingjie Wang +2Semi-Supervised LearningRegularization

    Huazhong Agricultural University · China University of Petroleum (East China) · Xi’an Jiaotong University +1

  58. Beyond the Laplacian: Doubly Stochastic Matrices for Graph Neural Networks

    Apr 16, 2026Zhaobo Hu, Vincent Gauthier, Mehdi NaimaGraph Neural NetworksGraph Laplacians

    SAMOVAR, Télécom SudParis · Institut Polytechnique de Paris · CNRS – LIP6 +1

  59. Fast Preemptive Robustification: High-Frequency Response Anti-Aligns Shared Vulnerability

    Mar 26, 2026Jiaming Liang, Chi-Man PunHigh-Frequency ReconstructionConvolutional

    University of Macau, Macau, China

  60. Grounded Laplacians of Directed Signed Matrix-Weighted Networks: Spectral Properties and Applications to Non-Trivial Consensus

    Feb 12, 2026Tianmu Niu, Bing Mao, Hao Liao +2Graph LaplaciansLyapunov Function