Riemannian Manifolds

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18 papers in the last four weeks, with none the four weeks before. 0.2% of all new papers.

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  1. Robot Learning on Discrete Surfaces: Theory and Applications

    Oct 1, 2026Matteo Dalle Vedove, Fares J. Abu-Dakka, Luigi Palopoli +2Scalable Robot LearningSurface Representation

    Department of Industrial Engineering, Universit`a di Trento, Trento, Italy. · DRIM, Ph.D. of national interest in Robotics and Intelligent Machines. · Mechanical Engineering Program, Division of Engineering, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates. +1

  2. Beyond Unimodal Bases: Pullback Geometry for Multimodal Data

    Sep 30, 2026Honglei Brinkmann, Lucas Ng, Georgios Batzolis +3Riemannian ManifoldsUnimodal Metrics

    University of Cambridge Cambridge, UK · University of California Los Angeles, USA

  3. Riemannian Splat Regression Models for Learning Time Fields on Arbitrary Riemannian Manifolds

    Sep 29, 2026Anastasios Manganaris, Rohit Banerjee, Gokul Prabhakaran +1Data ManifoldRiemannian Manifolds

    Department of Computer Science, Purdue University, West Lafayette, IN, USA, 47907

  4. Intrinsic Associative Memory on Riemannian Manifolds: Curvature, Capacity, and Emergent Modes

    Sep 28, 2026Krishnakumar Balasubramanian, Zhaoyang ShiDense Associative MemoryRiemannian Manifolds

    Department of Statistics, University of California, Davis. · Center for Applied Mathematics, Fudan University.

  5. Building Transformation Layers for Riemannian Neural Networks

    Sep 28, 2026Ziheng ChenRiemannian ManifoldsNeural Network Representations

    University of Trento · MPI for Intelligent Systems, Tübingen

  6. Normative Loss Landscape Navigation: A Trajectory-Based Approach to Mitigating Forgetting in Incremental Learning

    Sep 28, 2026Isabelle Aguilar, Zayn Andre Zainal, Luis Fernando Herbozo Contreras +2Class-Incremental LearningContinual Learning

  7. Probabilistic Geodesic Flow Matching on Location-Scale Families

    Sep 28, 2026Zeyuan Yu, Zhi Chang, Shiwei LanRiemannian Flow MatchingDiscriminative Congruence Transform

    School of Mathematical & Statistical Sciences Arizona State University Tempe, AZ 85287 USA

  8. Recovering Lower-Dimensional Semialgebraic Support of a Measure from its Moments

    Sep 27, 2026Ruben Karapetyan, Shenyuan Ma, Ales Wodecki +1Probability MeasuresRiemannian Manifolds

    Czech Technical University in Prague

  9. Task-Induced Riemannian Metrics for Vision Transformer Feature Spaces

    Sep 23, 2026Andrew Bond, Ege Erdem Özlü, Tuna Çimen +4Vision TransformerRiemannian Manifolds

    Imperial College London London, UK · Hacettepe University Ankara, Türkiye

  10. Riemannian Structure and Optimization for a Class of Low-Parametric Orthogonal Matrices

    Sep 23, 2026Ali Aliev, Maxim RakhubaRiemannian OptimizationOrthogonality

    HSE University

  11. Induced Riemannian Metrics for Motion Planning with Constraints

    Sep 22, 2026Phone Thiha Kyaw, Thomas Cohn, Miguel Angel Rogel Garcia +1Motion PlanningRiemannian Manifolds

    Space & Terrestrial Autonomous Robotic Systems (STARS) Laboratory at the University of Toronto Institute for Aerospace Studies (UTIAS), Toronto, Ontario, Canada, M3H 5T6

  12. When Riemann flows with Wasserstein: Generative Modeling of Probability Distributions on Manifolds

    Sep 22, 2026Doron Haviv, Edward De Brouwer, Rishabh Anand +4Riemannian Flow MatchingData Manifold

    Genentech Inc., South San Francisco, CA. · Yale University, New Haven, CT.

  13. RGSQ: Riemannian Geometry-Sensitive Quantization for Large Vision-Language Models

    Sep 21, 2026Zhiping Wu, Dongdong Ren, Yangchengyu Zhou +4Large Language Model QuantizationPost-Training Quantization

    State Key Laboratory for Novel Software Technology and the School of Intelligence Science and Technology, Nanjing University, Suzhou Campus, Suzhou 215163, China

  14. Riemannian--Lorentz Fusion of Vision Transformers and State-Space Models

    Sep 16, 2026Badri N. Patro, Vijay S. AgneeswaranSelf-Supervised Vision TransformersVision Transformer

    Microsoft

  15. Optimization over covariance matrices with a parameterized metric

    Sep 15, 2026Yibang Li, Bamdev Mishra, Pratik Jawanpuria +1Riemannian OptimizationHessian

    Nanyang Technological University, Singapore · Microsoft India · Indian Institute of Technology Bombay, India

  16. SL(n)\mathbb{SL}(n) Representation Learning: An Intrinsic Mixed-Curvature Space with Higher Curvature Capacities and Deeper Order-Aware Composition

    Sep 14, 2026Xingrun Li, Yusuke Mukuta, Xin Yang +2Representation SpaceHyperbolic Learning

    The University of Tokyo · Stanford University

  17. Space as an Interventional Invariant: Cross-Modal Predictive Geometry for Stratified Cities and Em-Spaced Intelligence

    Sep 14, 2026Tao Yang, Xuhui Lin, Kunyao Li +1Stable Spatial UnderstandingUrban Environments

    School of Architecture, Tsinghua University, Beijing, China · Department of Geography, University College London, London, United Kingdom · School of Engineering, Cardiff University, Cardiff, United Kingdom

  18. Heat Kernel Textures: the Geodesic Gaussians That Do Not Splat

    Sep 7, 2026Simone Foti, Caner Korkmaz, Stefanos Zafeiriou +1TextureNovel View Synthesis

    Imperial College London

  19. MGMCL: Multi-Granularity Manifold Contrastive Learning With Neural ODEs for Cross-Subject EEG Emotion Recognition

    Aug 9, 2026Xiang XieEmotion RecognitionValence-Arousal Estimation

  20. High-Capacity Generalized Hopfield Networks

    Aug 8, 2026Victor GalitskiHopfield NetworksNeural Circuits

    Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, USA

  21. Mixture of Geodesic Factor Analyzers on Riemannian Homogeneous Spaces

    Aug 7, 2026Hengchao Chen, Yuanyao Tan, Chao Huang +2Gaussian Mixture ModelsRiemannian Manifolds

    University of Toronto · Florida State University · Eli Lilly and Company +3

  22. Learning Smooth SE(3) Trajectories under Left-Invariant Riemannian Metrics

    Aug 3, 2026Yuwei Wu, Vijay KumarRobust TrajectoryRigid-Body Dynamics

    GRASP Laboratory, University of Pennsylvania, Philadelphia, PA, 19104 USA

  23. Riemannian Attention Mechanisms for Transformers: A Theoretical Framework and Architecture Design

    Aug 2, 2026Sen SongTransformer AttentionTransformer Architectures

    Independent Researcher, Guangzhou, China

  24. Landmark shape spaces with induced metrics

    Jul 30, 2026Sarang Joshi, Peter W. Michor, Stefan SommerRiemannian Manifolds

  25. A Riemannian View on Active Subspaces

    Jul 28, 2026Zachary GreyRiemannian ManifoldsGeodesic

  26. RODR: Riemannian Orthogonally Decoupled Regularization for Disentangled Manifold Representation

    Jul 27, 2026Jiayu Zhu, Wenlai ZhaoPoint CloudsRiemannian Manifolds

    Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, China

  27. Energy Manifold Natural Gradient Descent: Riemannian Optimization for Neural PDE Solvers

    Jul 24, 2026Zhangyong Liang, Huanhuan GaoNeural Partial Differential Equation SolversRiemannian Optimization

    National Center for Applied Mathematics Tianjin University Tianjin, 300072, China · School of Mechanical and Aerospace Engineering Jilin University Changchun, 130025, China

  28. Anti-Periodic Positional Encoding: Möbius Boundary Conditions Make In-Context Retrieval Reliable

    Jul 23, 2026Ji Ho BaeRotary Position EmbeddingPositional Encoding

    JRTI, Seoul, 05855, Republic of Korea

  29. Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates

    Jul 8, 2026Jianing Liu, Dong H. ZhangNewtonGeodesic

    State Key Laboratory of Chemical Reaction Dynamics and Department of Chemical Physics, University of Science and Technology of China, Hefei, 230026, China · State Key Laboratory of Chemical Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian, 116023, China. · University of Chinese Academy of Sciences, Beijing, 100049, China +1

  30. Riemannian Geometry for Pre-trained Language Model Embeddings

    Jul 8, 2026Szczepan Konior, Alexandre Quemy, Przemysław Klocek +2Token EmbeddingsText Embeddings

    IBM Automation and AI, Krakow, Poland · Hother, Krakow, Poland · University of Warsaw +1

  31. Optimization Geometrodynamics: Variational Reduction and Interaction Curvature

    Jul 7, 2026Zavier LiShape OptimizationRiemannian Manifolds

    Xidian University Xi’an, China

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

    Jul 7, 2026Liane XuGraph LaplaciansRiemannian Manifolds

    Program in Applied and Computational Mathematics, Princeton University

  33. Beyond Independent Labels: Schwartz-Geometry Decoding for Human Value Detection

    Jul 6, 2026Víctor Yeste, Paolo RossoMulti-Label ClassificationIntermediate Decoder Layers

    1PRHLT Research Center, Universitat Politècnica de València, Spain · School of Science, Engineering and Design, Universidad Europea de Valencia, Spain · 3Valencian Graduate School and Research Network of Artificial Intelligence (ValgrAI)

  34. I\textsuperscript{2}RiMA: Spectral Riemannian Representation with Temporal Attention for Mental Stress Detection based on EEG Signals

    Jul 1, 2026Cheng He, Kunyu Peng, Shangen Han +3ElectroencephalographyTemporal Attention

    Laboratory of Neural Computing and Intelligent Perception, College of Information Engineering, Capital Normal University, Beijing, China · Karlsruhe Institute of Technology, Germany · School of Psychology, Capital Normal University, Beijing, China

  35. BrainRiem: Riemannian Prototype Learning for Source-Free Cross-Site Brain Network Diagnosis

    Jun 28, 2026Kunyu Zhang, Tianxiang XuHuman Brain NetworksDomain Adaptation

    Zhengzhou University, Zhengzhou 450000, China · Peking University, Beijing 102600, China

  36. Towards Robust EEG Decoding Based on Riemannian Self-Attention

    Jun 24, 2026Shaocheng Jin, Tao Zhou, Rui Wang +4Small-Sample Electroencephalogram DatasetsElectroencephalography

    School of Artificial Intelligence and Computer Science Jiangnan University Wuxi, China · Department of Information Engineering and Computer Science University of Trento Trento, Italy · Centre for Vision, Speech and Signal Processing (CVSSP) University of Surrey Guildford, UK

  37. Decentralized Pose Graph Riemannian Optimization for Object-based Multi-Robot SLAM

    Jun 23, 2026Yixian Zhao, Yan Huang, Yang Xu +2Multi-Robot SystemsSimultaneous Localization And Mapping

    College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, China · Division of Decision and Control Systems, School of EECS, KTH Royal Institute of Technology, Stockholm, SE-100 44, Sweden · Shanghai Research Institute for Intelligent Autonomous Systems, Tongji University, Shanghai, 201210, China

  38. Improving Robotic Imitation Learning via Trajectory Standardization

    Jun 22, 2026Licheng Yang, Lingfeng Qian, Fei Zheng +4Imitation LearningTrajectory Generation

    State Key Laboratory of Multimodal Artificial Intelligence Systems (MAIS), Institute of Automation, Chinese Academy of Sciences · D-Robotics

  39. Stable Transformer-Actor-Critic Model Predictive Control: A Contraction Analysis Approach

    Jun 18, 2026Antonio Marino, Valerio Modugno, Marco CognettiModel Predictive ControlLyapunov Function

    CAM · University of Cambridge · UCL +3

  40. Space Is Intelligence: Neural Semigroup Superposition for Riemannian Metric Generation

    Jun 17, 2026Chenghao XuRiemannian ManifoldsObstacle Avoidance

    School of Artificial Intelligence and Robotics and National Engineering Research Center of Robot Visual Perception and Control Technology, Hunan University, Changsha, Hunan, China

  41. Sum-of-Squares Degree Barriers for the Reweighted-Hinge Method in Robust Halfspace Learning: A Christoffel-Function Characterization

    Jun 15, 2026Xiaoyu LiFinite-Sample CertificatesOutliers

    University of New South Wales

  42. Finsler Geometry, Graph Neural Networks, and You

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

    Rice University, Houston, TX, USA

  43. Riemannian Metric Matching for Scalable Geometric Modeling of Distributions

    Jun 12, 2026Jacob Bamberger, Adam Gosztolai, Pierre Vandergheynst +2Riemannian ManifoldsRiemannian Flow Matching

    Department of Computer Science, University of Oxford, Oxford, UK · Institute of Artificial Intelligence, Medical University of Vienna, Vienna, Austria · EPFL, Lausanne, Switzerland +1

  44. Approximating Gaussian Whittle-Matern Fields over Well-Centered Triangulations of Riemannian Manifolds

    Jun 11, 2026Srinivas NambirajanRiemannian ManifoldsSpatiotemporal Fields

  45. A Riemannian Approach to Low-Rank Optimal Transport

    Jun 10, 2026Pratik Jawanpuria, Bamdev MishraLow-Rank StructureRiemannian Optimization

    Centre for Machine Intelligence and Data Science, IIT Bombay · Microsoft India

  46. Scalable anomaly detection via a univariate Christoffel function

    Jun 10, 2026Florian Grivet, Didier Henrion, Jean-Bernard Lasserre +1Graph Anomaly DetectionIntrinsic Dimensionality

    CNES, LAAS-DISCO, Comue de Toulouse · Centre national d’études spatiales (CNES), Paris, France. · LAAS-POP +3

  47. Gradient based Bilevel for Inverse Optimal Control, a Riemannian approach

    Jun 9, 2026Ahmed-Manaf Dahmani, Vincent Bonnet, David Daney +1Optimal ControlShape Optimization

    INRIA Bordeaux, Universit´e de Bordeaux, Talence, France · INRIA Nancy, Universit´e de Lorraine, Villers-l`es-Nancy, France · LAAS-CNRS, Universit´e de Toulouse, CNRS, Toulouse, France

  48. Learning Dynamics Reveal a Hierarchy of Weight-Induced Layerwise Gram Metrics

    Jun 8, 2026Claudio NordioRectified Linear Unit NetworksLearning Dynamics

  49. Barycentric Projections of Optimal Transport Plans on Riemannian Manifolds

    Jun 6, 2026Kisung YouRiemannian ManifoldsProjection

    Department of Mathematics Baruch College

  50. Geodesic Flow Matching on a Riemannian Degradation Manifold for Blind Image Restoration

    Jun 4, 2026Akshay Janardan Bankar, Ankita Chatterjee, Sayan Banerjee +3Riemannian Flow MatchingImage Restoration

    Samsung Research Institute, Bangalore, India

  51. A Sliced-Wasserstein Framework on Correlation Matrices for EEG Decoding

    Jun 4, 2026Chen Hu, Rui Wang, Jiale Zhou +4ElectroencephalographyFull-Rank Correlation Matrices

    Westlake University Hangzhou, China · School of Artificial Intelligence and Computer Science Jiangnan University Wuxi, China · Zhejiang University Hangzhou, China +1

  52. Knowledge Manifold: A Riemannian Geometric Framework for Semantic Mapping and Geodesic Analysis of Scientific Literature

    Jun 4, 2026Tomonaga Okabe, Kazuhiko KomatsuSemantic RelationshipsRiemannian Manifolds

    Department of Aerospace Engineering, Tohoku University, 6-6-01, Aoba, Aramaki, Aoba-ku, Sendai, Miyagi 980-8579, Japan · Research Center for Green X-Tech, Tohoku University, 6-6-11, Aoba, Aramaki, Aoba-ku, Sendai, Miyagi 980-8579, Japan

  53. Geometric Second-Order Feature Correlation Learning for Self-Supervised Speech Emotion Recognition

    Jun 4, 2026Shuanglin Li, Ruxiao Qian, Siyang SongEmotion RecognitionHigh-Order Correlations

    Xiangjiang Laboratory, Changsha, China · University of Exeter, Exeter, UK

  54. Learning from Demonstrations over Riemannian Manifolds using Neural ODEs: An Extended Abstract

    Jun 3, 2026Diana Cuervo Espinosa, Mahathi Anand, Angela P. SchoelligGeodesicRiemannian Manifolds

    Chair of Robotics and System Intelligence, Technical University of Munich, Germany · Learning Systems and Robotics Lab, Technical University of Munich, Germany

  55. Direct Informed Sampling on Riemannian Manifolds via Loewner Order Lower Bounds

    Jun 1, 2026Phone Thiha Kyaw, Jonathan KellyRiemannian ManifoldsHeuristics

    Space and Terrestrial Autonomous Robotic Systems (STARS) Laboratory, University of Toronto Institute for Aerospace Studies (UTIAS), Toronto, Ontario M3H 5T6, Canada

  56. Riemannian Optimization for Hadamard Products of Low-Rank Matrices

    May 31, 2026Pratik Jawanpuria, Ankish Chandresh, Bamdev MishraRiemannian OptimizationLow-Rank Structure

    Centre for Machine Intelligence and Data Science, Indian Institute of Technology Bombay, India · Microsoft India

  57. Geodesics with Unified Tangent-constrained Priors and Curvature Regularization

    May 28, 2026Chong Di, Li Liu, Jinglin Zhang +3GeodesicTangent Space

    Shandong Artificial Intelligence Institute, Qilu University of Technology (Shandong Academy of Sciences), Jinan, Shandong, China · Yuanshen Rehabilitation Institute, Shanghai Jiao Tong University School of Medicine, Shanghai 200025, China · School of Control Science and Engineering, Shandong University, Jinan, Shandong, China +2

  58. Rao-Blackwellized Score Matching on Manifolds

    May 25, 2026Divit RawalRiemannian ManifoldsManifolds

    Department of Statistics, University of California, Berkeley, Berkeley CA, U.S.A..

  59. Riemannian Archetypal Analysis: Interpretable non-linear data analysis on deformed star distributions

    May 22, 2026Willem Diepeveen, Deanna NeedellRiemannian ManifoldsNonlinearity

    Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095, USA

  60. 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