Data Manifold

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7 papers in the last four weeks, against 1 the four weeks before. 0.1% of all new papers.

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  1. Beyond Linear Concepts: Discovering and Aligning Non-Linear Concept Manifolds in Large Language Models

    Oct 1, 2026Tido Specht, Elias Benedict Krey, Nils Neukirch +1Large Language Model AlignmentMultimodal Large Language Models

    University of Groningen · Carl von Ossietzky University of Oldenburg

  2. Anchoring Adversarial Trajectories to Data Manifolds: A Bilevel Transfer Optimization Framework

    Sep 30, 2026Yaohua Liu, Yifan Guo, Jiaxin GaoAdversarial TrainingBilevel Optimization

    The University of Hong Kong Hong Kong, China · International School of Information Science & Engineering Dalian University of Technology, Dalian, China · The Hong Kong Polytechnic University Hong Kong, China

  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. 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.

  5. Learning Submanifolds for Subsequent Inference on Random Dot Product Graphs, Part 1: Theory

    Sep 16, 2026Michael W. Trosset, Carey E. PriebeData ManifoldSemi-Supervised Learning

    Department of Statistics, Indiana University. · Department of Applied Mathematics & Statistics, Johns Hopkins University.

  6. Bracketing Uncertainty in Clustering Under the Manifold Hypothesis

    Sep 15, 2026Savik Kinger, Luciano Dyballa, Steven W. ZuckerClusteringCluster

    Department of Computer Science Yale University · School of Science & Technology IE University · Depts. of Computer Science and Biomedical Engineering Wu Tsai Institute Yale University

  7. Low-Dimensional Embeddings for Gaussian Kernels on Manifolds

    Sep 14, 2026Soumik Dutta, Kunal DuttaData ManifoldKernel Method

    Institute of Informatics, University of Warsaw, Poland

  8. Proximity3D: Shape from Capacitive Proximity on Sensing Manifold

    Aug 31, 2026Hao Chen, Chenming Wu, Chun Ping Lam +6Geometric ReconstructionData Manifold

    Centre for Perceptual and Interactive Intelligence / Xiamen University, China · Independent Researcher, China · Centre for Perceptual and Interactive Intelligence, Hong Kong, China +3

  9. Understanding Differentiable Embeddings Through Differential and Integral Geometry

    Aug 7, 2026Xinyu Zhang, Klaus MuellerData ManifoldBehavioral Embeddings

    Stony Brook University · Department of Computer Science, Stony Brook University, Stony Brook, NY, USA

  10. Decoupling Cross-Modality Manifold Discrepancy: Leveraging Visible Diffusion Priors for Infrared Super-Resolution

    Jul 23, 2026Yunpeng Hua, Hongwei Yu, Jiawei Li +3Hyperspectral Image Super-ResolutionResidual Conditional Diffusion Model

    University of Science and Technology Beijing, Beijing, China

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

    Jul 23, 2026Zhuan Liang, Zheng ZhaiSpectral Representation MethodCommunity Detection

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

  12. Fisher Widths: Local Learning Geometry and Anisotropic Recovery

    Jul 22, 2026Vu Khac KyFisher Information MatrixFisher Information

    Department of Mathematics, FPT University, Vietnam

  13. Deep Shape Regression for Planar Curves with Multimodal Covariates

    Jul 21, 2026Manuel Pfeuffer, Roshan Prakash Rane, Hadya Yassin +2Statistical Shape ModelCurves

    Humboldt-Universität zu Berlin, Berlin, Germany · Hertie Institute for AI in Brain Health, Universität Tübingen, Tübingen, Germany · Universität Tübingen, Tübingen, Germany +1

  14. Riemannian Deep Learning: Modules, Networks, and Geometries

    Jul 21, 2026Ziheng ChenData ManifoldGeometric Deep Learning

    Doctoral School in Information and Communication Technology, Università di Trento

  15. Intrinsic Green's Learning: Supervised Learning on Manifolds via Inverse PDE

    Jul 8, 2026Alexandre QuemyData ManifoldIntrinsic Dimensionality

    Hother Labs

  16. Level-Crossing Density as a Mesh-Free High-Frequency Auxiliary Loss for Implicit Neural Representations

    Jul 7, 2026Gunner Levi HoweNeural FieldsData Manifold

    Independent Researcher

  17. Missing Data Imputation under Manifold Hypothesis

    Jul 3, 2026Zelong Bi, Amuchechukwu Ibenegbu, Sarat MokaImputationMissing Data

  18. CuBAS: Information Geometric Curvature-Based Adaptive Sampling for Supervised Classification

    Jul 3, 2026Alexandre L. M. LevadaData ManifoldAdaptive Sampling

    Federal University of São Carlos 13565-905, São Carlos-SP, Brazil

  19. RBE-Flow: Recurrent Bayesian Estimation on Feature Manifolds for Cross-Modal Registration

    Jun 29, 2026Mengzhu Ding, Xin Song, Xiaoke Ding +2Image RegistrationData Manifold

    Northeastern University, China

  20. Your Data Manifold is Secretly a Reward Model: Shell-LCC for Text-to-Video Generation

    Jun 29, 2026Shihao Zhang, Yunzhi Li, Yuguang Yan +4Video LatentsDiffusion Models

    Huawei Central Research Institute · Guangdong University of Technology

  21. I-BBS: Coordinate-Free Inference of Latent Sub-Manifolds Using Random Distance Matrix Theory

    Jun 29, 2026Igor HalperinData ManifoldDistance

  22. Enhancing Protein Representation Learning via Manifold Restore Mixing

    Jun 21, 2026Yizhou Dang, Chuang Zhao, Lianbo Ma +3Protein Structure PredictionProtein

    Software College, Northeastern University Shenyang, China · Tianjin University Tianjin, China · School of Computer Science and Engineering, Northeastern University Shenyang, China +1

  23. Encoder-Decoder Manifold Alignment for Idempotent Generation

    Jun 21, 2026Dareen Alharthi, Abdul Waheed, Bhiksha RajGenerative ModelsData Manifold

    Carnegie Mellon University

  24. Fisher-Geometric Sharpness and the Implicit Bias of SGD toward Flat Minima

    Jun 18, 2026Md Sakir Ahmed, Kumaresh Sarmah, Hemen DuttaStochastic Gradient DescentSharpness-Aware Minimization

    Department of Electronics and Communication Technology Gauhati University Guwahati, Assam, India · Department of Mathematics Gauhati University Guwahati, Assam, India

  25. Fisher Width: A Geometric Measure of Complexity on Statistical Manifolds

    Jun 16, 2026Vu Khac KyFisher InformationData Manifold

    Department of Mathematics, FPT University, Vietnam

  26. Non-negative Matrix Factorisation with Topological Regularisation

    Jun 16, 2026Matias de Jong van Lier, Shizuo Kaji, Keunsu KimNonnegative Matrix FactorizationBasis Functions

    Recursive Inc. · Tokyo, 150-0002, Japan · Graduate School of Science +5

  27. The Data Manifold under the Microscope

    Jun 14, 2026Marios Koulakis, Constantin SeiboldData ManifoldGeometric Deep Learning

    Independent Researcher, Germany · Diagnostic and Interventional Radiology, University Clinic Heidelberg, Heidelberg, Germany.

  28. Rethinking Structural Anomaly Detection: From Decision Boundaries to Projection Operators

    Jun 13, 2026Alexander BauerGraph Anomaly DetectionProjection

    Machine Learning Group, TU Berlin · BIFOLD, Berlin, Germany

  29. Efficient Mean Curvature Computation on High-Dimensional Data Manifolds

    Jun 4, 2026Alexandre L. M. LevadaData ManifoldLocal Curvature

    Federal University of São Carlos · 13565-905, São Carlos-SP, Brazil

  30. Fitting Unknown Number of Hyperplanes with Manifold Optimization

    May 27, 2026Zhiqin Cheng, Yu Zhan, Mingjin Zhang +2Data ManifoldExpectation-Maximization

    Department of Computing, The Hong Kong Polytechnic University, Kowloon, Hong Kong · Department of Electronic and Electrical Engineering, Southern University of Science and Technology, ShenZhen, China · Research Institute of Multiple Agents and Embodied Intelligence, Pengcheng Laboratory, ShenZhen, China +1

  31. Sparse POD Mode Selection and Manifold Dimensionality Reduction with Neural Networks

    May 26, 2026Tomoki Koike, Prakash Mohan, Marc T. Henry de Frahan +2Dimensionality ReductionReynolds-Averaged Navier-Stokes

    School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA · Computational Science Center, National Laboratory of the Rockies (NLR), Golden, CO

  32. 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

  33. Geometry-Aware Image Flow Matching

    May 24, 2026Junho Lee, Kwanseok Kim, Joonseok LeeContrastive Flow MatchingData Manifold

    1Seoul National University, Seoul, Korea.

  34. Cross-Domain Generalization Limits of Vision Foundation Models in Facial Deepfake Detection

    May 24, 2026Ibrahim DelibasogluDeepfake DetectionDigital Forensics

    Department of Software Engineering, Faculty of Computer and Information Sciences, Sakarya University, Esentepe, Sakarya, 54050 Türkiye.

  35. 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

  36. GAMR: Geometric-Aware Manifold Regularization with Virtual Outlier Synthesis for Learning with Noisy Labels

    May 20, 2026Ningkang Peng, Jingyang Mao, Xiaoqian Peng +4Noisy LabelsOut-Of-Distribution Detection

    Nanjing Normal University Nanjing, China · Nanjing University of Chinese Medicine Nanjing, China

  37. Probing for Representation Manifolds in Superposition

    May 18, 2026Alexander ModellData ManifoldManifolds

    Department of Mathematics Imperial College London, U.K.

  38. Intrinsic Wasserstein Rates for Score-Based Generative Models on Smooth Manifolds

    May 15, 2026Guoji Fu, Taiji Suzuki, Wee Sun Lee +1Wasserstein DistanceData Manifold

    National University of Singapore · The University of Tokyo · RIKEN Center for Advanced Intelligence Project +2

  39. Sobolev Regularized MMD Gradient Flow

    May 12, 2026Chenyang Tian, Bharath K. Sriperumbudur, Arthur Gretton +1Maximum Mean DiscrepancyWasserstein Gradient Flows

    Tsinghua University · Pennsylvania State University · University College London +1

  40. FastUMAP: Scalable Dimensionality Reduction via Bipartite Landmark Sampling

    May 12, 2026Hongmin LiDimensionality ReductionData Manifold

    School of Life Science and Technology, Institute of Science Tokyo · 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550, Japan 2Department of Computational Biology and Medical Sciences Graduate School of Frontier Sciences, The University of Tokyo

  41. Learning Point Cloud Geometry as a Statistical Manifold: Theory and Practice

    May 11, 2026Jinwoo Lee, Jiwoo Kim, Woojae Shin +2Point CloudsRobust Geometric Model Estimation

    Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Republic of Korea · Daegu Gyeongbuk Institute of Science and Technology (DGIST), Daegu, Republic of Korea

  42. No Triangulation Without Representation: Generalization in Topological Deep Learning

    May 7, 2026Johannes S. Schmidt, Martin Carrasco, Ernst Röell +3TriangulationsData Manifold

    Dept. of Math. & Statistics University of Montréal Montréal, Canada · Dept. of Informatics University of Fribourg Fribourg, Switzerland

  43. MOC-3D: Manifold-Order Consistency for Text-to-3D Generation

    May 3, 2026Chenyang Fan, Junshi Cheng, Wen Yang +53D Generative ModelsDiffusion Priors

    Chongqing Normal University Chongqing, China

  44. Delta Score Matters! Spatial Adaptive Multi Guidance in Diffusion Models

    Apr 29, 2026Haosen Li, Wenshuo Chen, Lei Wang +4Geometric GuidanceData Manifold

    1The Hong Kong University of Science and Technology (Guangzhou) · 2Griffith University & Data61/CSIRO

  45. 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

  46. Horospherical Depth and Busemann Median on Hadamard Manifolds

    Apr 20, 2026Yangdi Jiang, Xiaotian Chang, Cyrus MostajeranMetric SpacesData Manifold

    Division of Mathematical Sciences, Nanyang Technological University

  47. Asymptotic Learning Curves for Diffusion Models with Random Features Score and Manifold Data

    Mar 24, 2026Anand Jerry George, Nicolas MacrisLow-Dimensional StructureData Manifold

    École Polytechnique Fédérale de Lausanne (EPFL), Lab for Statistical Mechanics of Inference in Large Systems (SMILS), CH-1015 Lausanne, Switzerland

  48. Time-adaptive infinite-dimensional Gaussian process regression on manifolds

    Mar 22, 2026MD Ruiz-Medina, AE Madrid, A Torres-Signes +1Gaussian ProcessData Manifold

  49. Training Flow Matching: The Role of Weighting and Parameterization

    Mar 6, 2026Anne Gagneux, Ségolène Martin, Rémi Gribonval +1Denoising Diffusion Probabilistic ModelGenerative Quality

    ENS de Lyon, CNRS, Universit´e Claude Bernard Lyon 1, Inria, LIP, UMR 5668, France · Technische Universität Berlin, Germany · Inria, ENS de Lyon, CNRS, Universit´e Claude Bernard Lyon 1, LIP, UMR 5668, France

  50. Discovering Data Manifold Geometry through Geometric Properties

    Feb 2, 2026David Vigouroux, Lucas Drumetz, Ronan Fablet +1Data ManifoldTangent Space

    ANITI, IMT Atlantique - DSD, LaTIM · IRT Saint Exupery, ANITI, Toulouse, France · IMT Atlantique, LaTIM UMR 1101 INSERM, Brest, France +5

  51. FlowPath: Learning Data-Driven Manifolds with Invertible Flows for Robust Irregularly-sampled Time Series Classification

    Nov 13, 2025YongKyung Oh, Dong-Young Lim, Sungil KimTime-Series ClassificationInvertible Flows

    Medical & Imaging Informatics (MII) Group, University of California, Los Angeles (UCLA), CA, USA · Department of Industrial Engineering, Ulsan National Institute of Science and Technology (UNIST), Republic of Korea · Artificial Intelligence Graduate School, Ulsan National Institute of Science and Technology (UNIST), Republic of Korea

  52. Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization

    Oct 2, 2025Dhruv Kohli, Sawyer J. Robertson, Gal Mishne +1Tangent SpaceData Manifold

  53. Topological data analysis using persistent discrete homology

    Jun 17, 2025Chris Kapulkin, Nathan KershawPersistent HomologyTopology

  54. Riemannian Denoising Diffusion Probabilistic Models

    May 7, 2025Zichen Liu, Wei Zhang, Christof Schütte +1Data ManifoldScore-Based Diffusion Model

    Center for Data Science, Peking University, Beijing 100871, P.R. China · Zuse Institute Berlin, Takustrasse 7, Berlin 14195, Germany · Institute of Mathematics, Freie Universität Berlin and Zuse Institute Berlin, Takustrasse 7, Berlin 14195, Germany +1