Riemannian Manifolds

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Period ending 2026-09-14

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A weekly snapshot of new work published in Riemannian Manifolds.

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

    Sep 7, 2026Simone Foti, Caner Korkmaz, Stefanos Zafeiriou +13D Gaussian SplattingNovel View Synthesis

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

    Aug 9, 2026Xiang XieElectroencephalogramEmotion Recognition

  3. High-Capacity Generalized Hopfield Networks

    Aug 8, 2026Victor GalitskiHopfield NetworksRiemannian Manifolds

  4. Mixture of Geodesic Factor Analyzers on Riemannian Homogeneous Spaces

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

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

    Aug 3, 2026Yuwei Wu, Vijay KumarRigid-Body DynamicsRiemannian Manifolds

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

    Aug 2, 2026Sen SongRiemannian ManifoldsRepresentational Capacity

  7. Landmark shape spaces with induced metrics

    Jul 30, 2026Sarang Joshi, Peter W. Michor, Stefan SommerRiemannian ManifoldsNon-Rigid Shape Matching

  8. A Riemannian View on Active Subspaces

    Jul 28, 2026Zachary GreyRiemannian ManifoldsGeodesic

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

    Jul 27, 2026Jiayu Zhu, Wenlai ZhaoPoint CloudsGeometric Reconstruction

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

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

  11. Discrete Ricci Curvature on Protein Contact Graphs for Lightweight Fold Classification

    Jul 17, 2026Jianru ShenProteinMolecular Descriptors

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

    Jul 8, 2026Jianing Liu, Dong H. ZhangRiemannian OptimizationLeast Squares

  13. Riemannian Geometry for Pre-trained Language Model Embeddings

    Jul 8, 2026Szczepan Konior, Alexandre Quemy, Przemysław Klocek +2Riemannian ManifoldsGlobal Average Pooling

  14. Optimization Geometrodynamics: Variational Reduction and Interaction Curvature

    Jul 7, 2026Zavier LiShape OptimizationRiemannian Manifolds

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

    Jul 7, 2026Liane XuGraph LaplaciansRiemannian Manifolds

  16. 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 +3ElectroencephalogramTemporal Attention

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

    Jun 28, 2026Kunyu Zhang, Tianxiang XuBrain ActivityUnsupervised Domain Adaptation

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

    Jun 24, 2026Shaocheng Jin, Tao Zhou, Rui Wang +4ElectroencephalogramBrain-Computer Interface

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

    Jun 23, 2026Yixian Zhao, Yan Huang, Yang Xu +2Simultaneous Localization And MappingMulti-Robot Motion Planning

  20. Improving Robotic Imitation Learning via Trajectory Standardization

    Jun 22, 2026Licheng Yang, Lingfeng Qian, Fei Zheng +4Robot Imitation LearningImitation Learning

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

    Jun 17, 2026Chenghao XuSpatial IntelligenceHigh-Dimensional Action Spaces

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

    Jun 15, 2026Xiaoyu LiFinite-Sample CertificatesOutliers

  23. Finsler Geometry, Graph Neural Networks, and You

    Jun 15, 2026T. Mitchell Roddenberry, Richard G. BaraniukGraph LaplaciansRiemannian Manifolds

  24. Riemannian Metric Matching for Scalable Geometric Modeling of Distributions

    Jun 12, 2026Jacob Bamberger, Adam Gosztolai, Pierre Vandergheynst +2Riemannian ManifoldsHigh-Dimensional

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

    Jun 11, 2026Srinivas NambirajanRiemannian ManifoldsDiscretization

  26. A Riemannian Approach to Low-Rank Optimal Transport

    Jun 10, 2026Pratik Jawanpuria, Bamdev MishraOptimal TransportLow-Rank Factorization

  27. Scalable anomaly detection via a univariate Christoffel function

    Jun 10, 2026Florian Grivet, Didier Henrion, Jean-Bernard Lasserre +1Anomaly DetectionUnsupervised

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

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

  29. Barycentric Projections of Optimal Transport Plans on Riemannian Manifolds

    Jun 6, 2026Kisung YouOptimal TransportRiemannian Manifolds

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

    Jun 4, 2026Akshay Janardan Bankar, Ankita Chatterjee, Sayan Banerjee +3Image RestorationRestoration

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

    Jun 4, 2026Tomonaga Okabe, Kazuhiko KomatsuSemantic RelationshipsSemantic Mapping

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

    Jun 4, 2026Shuanglin Li, Ruxiao Qian, Siyang SongSpeech Emotion RecognitionSelf-Supervised Speech Models

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

    Jun 3, 2026Diana Cuervo Espinosa, Mahathi Anand, Angela P. SchoelligRiemannian ManifoldsGeodesic

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

    Jun 1, 2026Phone Thiha Kyaw, Jonathan KellyRiemannian ManifoldsHeuristics

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

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

  36. Rao-Blackwellized Score Matching on Manifolds

    May 25, 2026Divit RawalRiemannian ManifoldsManifolds

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

    May 21, 2026Mario Severino, Manuela Moretto, Robert A. McCutcheon +1Riemannian ManifoldsBrain Activity

  38. Dynamic Elliptical Graph Factor Models via Riemannian Optimization with Geodesic Temporal Regularization

    May 18, 2026Chuansen Peng, Xiaojing ShenRiemannian ManifoldsFactor Graphs

  39. The Geometry of Projection Heads: Conditioning, Invariance, and Collapse

    May 16, 2026Faris ChaudhryMulti-Head AttentionNeural Collapse

  40. Don't Stop Me Yet: Sampling Loss Minima via Dissipative Riemannian Mechanics

    May 14, 2026Albert Kjøller Jacobsen, Leo Uhre Jakobsen, Johanna Marie Gegenfurtner +1ReparameterizationFlat Minima

  41. Distributed Pose Graph Optimization via Continuous Riemannian Dynamics

    May 11, 2026Jaeho Shin, Maani Ghaffari, Yulun TianRiemannian OptimizationRobust Pose Estimation

  42. Christoffel-DPS: Optimal sensor placement in diffusion posterior sampling for arbitrary distributions

    May 7, 2026James Rowbottom, Nick Huang, Carola-Bibiane Schönlieb +1Posterior SamplingGenerative Models

  43. Optimal Transport Audio Distance with Learned Riemannian Ground Metrics

    May 7, 2026Wonwoo JeongOptimal TransportDistance

  44. Flow Sampling: Learning to Sample from Unnormalized Densities via Denoising Conditional Processes

    May 5, 2026Aaron Havens, Brian Karrer, Neta ShaulDiffusion SamplingRiemannian Manifolds

  45. Simultaneous CNN Approximation on Manifolds with Applications to Boundary Value Problems

    May 5, 2026Hanfei Zhou, Lei ShiNeural-Network ApproximationPhysics-Informed Neural Network Framework

  46. Flow Matching on Symmetric Spaces

    May 5, 2026Francesco Ruscelli, Ferdinando Zanchetta, Rita FioresiRiemannian ManifoldsFlow-Matching Loss

  47. Stochastic Schrödinger Diffusion Models for Pure-State Ensemble Generation

    May 5, 2026Jian Xu, Wei Chen, Shigui Li +5Quantum LearningScore-Based Diffusion Model

  48. A second-order method landing on the Stiefel manifold via Newton\unicode{x2013}Schulz iteration

    May 4, 2026Xinhui Xiong, Bin Gao, P. -A. AbsilNewtonRiemannian Manifolds

  49. Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations

    May 4, 2026Benyamin GhojoghRiemannian OptimizationRiemannian Manifolds

  50. Model Compression with Exact Budget Constraints via Riemannian Manifolds

    May 1, 2026Michael Helcig, Dan AlistarhRiemannian OptimizationLarge Language Model Compression

  51. Decoding High-Dimensional Finger Motion from EMG Using Riemannian Features and RNNs

    Apr 24, 2026Martin Colot, Cédric Simar, Guy Cheron +2Surface ElectromyographyRobotic Hands

  52. Geometric Decoupling: Diagnosing the Structural Instability of Latent

    Apr 20, 2026Yuanbang Liang, Zhengwen Chen, Yu-Kun LaiLatent SpaceRiemannian Manifolds

  53. Complex normalizing flows can almost be information Kähler-Ricci flows

    Apr 20, 2026Andrew GracykNormalizing FlowsRiemannian Manifolds

  54. Wasserstein Formulation of Reinforcement Learning. An Optimal Transport Perspective on Policy Optimization

    Apr 16, 2026Mathias DusPolicy OptimizationRiemannian Optimization

  55. Geometry-Aware Deep Congruence Networks for Manifold Learning in Cross-Subject Motor Imagery

    Nov 24, 2025Sanjeev Manivannan, Chandra Shekar LakshminarayanElectroencephalogramGeometric Machine Learning