Riemannian Manifolds

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

    Sep 23, 2026Ali Aliev, Maxim RakhubaRiemannian Optimization

  2. Locally Private Inference for Riemannian Stochastic Optimization

    Sep 18, 2026Xiaotian Chang, Yangdi Jiang, Qirui HuEstimatorsRiemannian Optimization

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

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

  4. Stiefel Attention: When the Geometry of Transformer Projection Matrices Dominates Optimizer Choice---and When It Does Not

    Sep 16, 2026Rubén Darío GuerreroRiemannian OptimizationAdam

  5. Optimization over covariance matrices with a parameterized metric

    Sep 15, 2026Yibang Li, Bamdev Mishra, Pratik Jawanpuria +1Covariance EstimationCondition Number

  6. 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

  7. Geometric Flow enhanced Graph Coarsening

    Sep 14, 2026Chaoqun Fei, Guoxuan Li, Tinglve Zhou +2Graph Neural NetworksRiemannian Manifolds

  8. GEOSTEER: Geodesic Optimization for Activation Steering in Large Language Models

    Sep 11, 2026Xuan Cuong Ngo, Hao Vo, Ngan LeActivation SteeringModel Activations

  9. Geodesic-informed Generative Diffusion Model For Topology-preserved Image Video Generation

    Sep 8, 2026Nian Wu, Nivetha Jayakumar, Jiarui Xing +1Long Video GenerationGeodesic

  10. GPU-Enabled Large-Scale Optimization Using Randomized Linear Algebra

    Sep 8, 2026Pratik Rathore, Zachary Frangella, Parth Nobel +2Multi-Gpu SystemsRiemannian Optimization

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

    Sep 7, 2026Simone Foti, Caner Korkmaz, Stefanos Zafeiriou +1Novel View Synthesis3D Gaussian Splatting

  12. Riemannian Optimization for Multi-Player Quantum Games on Product Unitary Manifolds

    Sep 7, 2026Alireza Habibi, Setareh MaghsudiImperfect-Information GamesRiemannian Optimization

  13. Stochastic Optimization of Tree Tensor Networks

    Sep 1, 2026Marius Willner, Maximilian Scharf, André Uschmajew +2Tensor NetworksNeural Network Optimization

  14. Controlling Refusal Behavior of LLMs via Stiefel-Constrained Rotation Steering

    Aug 31, 2026Kirill Bunin, Dmitry Bylinkin, Vladimir Aletov +3Activation SteeringSteering

  15. Gromov-Wasserstein Quantization and Clustering: Structure, Rates, and Algorithms

    Aug 11, 2026Florian Beier, Stephan EcksteinGromov--WassersteinK-Means

  16. A Geodesic Cut-Cell Prior for Neural Skinning

    Aug 11, 2026Wenchao Ma, Surya Dwarakanath, Yizhak Ben-Shabat +4MeshesGeometric Deep Learning

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

    Aug 9, 2026Xiang XieEmotion RecognitionValence-Arousal Estimation

  18. High-Capacity Generalized Hopfield Networks

    Aug 8, 2026Victor GalitskiHopfield NetworksRiemannian Manifolds

  19. Enhancing Autonomous Vehicle Navigation with a Clothoid-Based Lateral Controller

    Aug 7, 2026Aashish Shaju, Steve Southward, Mehdi AhmadianVehicle DynamicsAutonomous Navigation

  20. Edge Sparsification via Temporal Forman-Ricci Curvature for Dynamic Graph Learning

    Aug 7, 2026Poupak Azad, Cuneyt Gurcan Akcora, Kiarash ShamsiTemporal GraphsCurvature

  21. Mixture of Geodesic Factor Analyzers on Riemannian Homogeneous Spaces

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

  22. Muon on the Stiefel Manifold Admits an Exact Closed-Form Update

    Aug 6, 2026Mikhail Solonko, Molozhavenko Alexander, Maxim RakhubaMuon OptimizerRiemannian Optimization

  23. Predicting Brain Morphometry with MT-GNN: Mesh Evolution in Continuous Time with Graph-Based Metric Tensor Embeddings

    Aug 5, 2026Hao Ding, Daniel Semchin, Paul M. Thompson +1Key Vertebral Morphometry VariablesGeodesic

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

    Aug 3, 2026Yuwei Wu, Vijay KumarRigid-Body DynamicsLie Group

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

    Aug 2, 2026Sen SongTransformer AttentionSoftmax Attention

  26. Sphere Retraction Normalizations

    Aug 2, 2026Jie Zhang, Cheng-Fang Su, Yi-Jui Huang +1Residual ConnectionsNormalization

  27. Landmark shape spaces with induced metrics

    Jul 30, 2026Sarang Joshi, Peter W. Michor, Stefan SommerNon-Rigid Shape MatchingRiemannian Manifolds

  28. Learning the Word Problem: Geodesic Lengths and Cryptographic Applications

    Jul 28, 2026Elisabeth FinkDiffie-HellmanFinite Groups

  29. Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning

    Jul 28, 2026Yuan Zhang, Jiang Hu, Zhijian Lai +2Low-Rank AdaptationRiemannian Optimization

  30. A Riemannian View on Active Subspaces

    Jul 28, 2026Zachary GreyRiemannian ManifoldsGeodesic

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

    Jul 27, 2026Jiayu Zhu, Wenlai ZhaoCertified Point-CloudGeometric Reconstruction

  32. Sparse Gaussian-Mixture-Model Q-Functions via Hadamard Overparametrization for Online Reinforcement Learning

    Jul 26, 2026Minh Vu, Konstantinos SlavakisOffline Reinforcement LearningRiemannian Optimization

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

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

  34. Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions

    Jul 22, 2026Zhanyuan Cai, Emre Sahinoglu, Shahin ShahrampourRiemannian OptimizationConvex Sets

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

    Jul 17, 2026Jianru ShenEmbedding DimensionRotation-Invariant Descriptors

  36. Beyond Euclidean Clipping: Overcoming Exploration Collapse in LLM RL via Riemannian Isometric Policy Optimization

    Jul 11, 2026Zhicheng Cai, Xinyuan Guo, Hanlin Wu +4Gradient ClippingRiemannian Optimization

  37. Learning Adaptive Solvers for Distributed Factor Graph Optimization on Matrix Lie Groups

    Jul 9, 2026Jaeho Shin, Maani Ghaffari, Yulun TianRiemannian OptimizationLie Group

  38. NFTR: From Provable Mode-Averaging to Geodesic Subgoal Selection in Offline Goal-Conditioned RL

    Jul 8, 2026Erdemt Bao, Xing Lei, Jun ChenGoal-Conditioned Reinforcement LearningReweighting

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

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

  40. Riemannian Geometry for Pre-trained Language Model Embeddings

    Jul 8, 2026Szczepan Konior, Alexandre Quemy, Przemysław Klocek +2Riemannian Manifolds

  41. Optimization Geometrodynamics: Variational Reduction and Interaction Curvature

    Jul 7, 2026Zavier LiInformation-Geometric OptimizationRiemannian Manifolds

  42. EntroPath: Maximum Entropy Path Ensemble Embedding for Manifold Learning

    Jul 7, 2026Przemysław RolaManifold Learning MethodGeodesic

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

    Jul 7, 2026Liane XuGraph LaplaciansRiemannian Manifolds

  44. 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 +3Trier Social Stress TestSpatial Attention

  45. Coordinate Singularities Break Conformal Coverage for Gaze and Head Pose

    Jun 29, 2026Mohammadreza Jamalifard, Yaxiong Lei, Parastoo Azizinezhad +1Conformal PredictionGaze

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

    Jun 28, 2026Kunyu Zhang, Tianxiang XuHuman Brain NetworksBrain

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

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

  48. Bridging the Manifold Gap: Riemannian Residual Line Search for One-Step Image Editing

    Jun 23, 2026Hongzhu Yi, Zhongtian Luo, Tong Li +2Diffusion EditingImage Editing

  49. 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

  50. The Geometry Behind Diffusion and Flow Matching: Gradient Flows and Geodesics in Wasserstein Space

    Jun 23, 2026Yian Yao, Weiwei ZhangWasserstein Gradient FlowsWasserstein Distance

  51. Open Problem: Is AdamW Effective Under Heavy-Tailed Noise?

    Jun 22, 2026Dingzhi Yu, Hongyi Tao, Yuanyu Wan +2AdamLong-Tailed Distribution

  52. Improving Robotic Imitation Learning via Trajectory Standardization

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

  53. Arc-Length Parameterized Interpolating Splines

    Jun 19, 2026Dafna K. Matsegora, Stephen M. WattB-SplineGeodesic

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

    Jun 17, 2026Chenghao XuRiemannian ManifoldsIntelligence

  55. A Neural Network Framework for Geodesic-Like Curve Computation on Parametric Surfaces

    Jun 17, 2026Sheng-Gwo Chen, Chen-Chang PengGeodesicSuperquadrics

  56. Another Look at Log-PCA for Probability Measures: A Dynamical Formulation and Statistical Convergence

    Jun 15, 2026Peng Xu, Changbo Zhu, Young-Heon Kim +1Wasserstein DistanceProbability Measures

  57. Mask Proposal Voting Based on Geodesic Framework for Robust Image Segmentation

    Jun 12, 2026Li Liu, Mingzhu Wang, Zhenjiang Li +2Robust SegmentationSegmentation Model

  58. Riemannian Metric Matching for Scalable Geometric Modeling of Distributions

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

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

    Jun 11, 2026Srinivas NambirajanRiemannian ManifoldsKernel Hilbert Spaces

  60. Computing Smooth Geodesics under Two-Sided Curvature Bounds with Applications to Robotics and Image Analysis

    Jun 11, 2026Da Chen, Zhenjiang Li, Jean-Marie Mirebeau +4GeodesicCurvature