001 TopoFormer: Topology Meets Attention for Graph Learning arXiv Paper Md Joshem Uddin et al. Yesterday 002 Denoising 3D images: robustness of persistent homology measures arXiv Paper E. Dagdelen, A. Karlekar et al. 4 days ago 003 Topological Data Analysis and Graph-Theoretic Approaches for Tennis Match Prediction arXiv Paper Jake Schwaderer, Alexander Bastien et al. 5 days ago 004 PHINN-EEG: Topological Time-Series Analysis of Dream-State EEG -- Dynamic Betti Curves for Dream Content Classification and Topology-Conditioned Neural Signal Synthesis arXiv Paper R. Takahashi, E. Yusuf et al. Jul 10 005 Selecting Interpretable Circular Coordinates from Data arXiv Paper Vincent P. Grande et al. Jul 9 006 Comparing Chatbot Performance Enhanced with Persistent Homology arXiv Paper Nithisha Raghavaraju, Barbara Giunti et al. Jun 29 007 Topological Data Analysis for High-Dimensional Dynamic Process Monitoring arXiv Paper Angan Mukherjee, Tyler A. Soderstrom et al. Jun 18 008 Non-negative Matrix Factorisation with Topological Regularisation arXiv Paper Matias de Jong van Lier, Shizuo Kaji et al. Jun 16 009 Analytic Torsion and Spectral Gap Capture Persistent-Laplacian Performance arXiv Paper Jernej Grlj, A. Lauda Jun 15 010 PHINN: Persistent Homology Inspired Neural Network for Rare-Event Time Series Generation arXiv Paper E. Yusuf, R. Takahashi et al. Jun 13 011 From Persistence to Survival: Hypothesis Testing, Effect Sizes and Vectorisation for Topological Features arXiv Paper J. Murris, Bernadette J. Stolz et al. Jun 10 012 Encoding the Euler Characteristic Transform arXiv Paper N. Blaser, Odin Hoff Gardaa et al. Jun 9 013 Constructing VAE Latent Spaces with Prescribed Topology arXiv Paper J. S. V. Hulst, Jakub M. Tomczak et al. Jun 5 014 $p$-adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences arXiv Paper T. Dash, Gunja Sachdeva Jun 4 015 Learning Coherent Representations: A Topological Approach to Interpretability arXiv Paper Sigurd Gaukstad, Melvin Vaupel et al. Jun 1 016 Learning Transfers: Kan Extensions for Neural Invariants arXiv Paper Luciano Melodia May 30 017 Gaussian Sheaf Neural Networks arXiv Paper Antônio H. Ribeiro, Ana Luiza Tenorio et al. May 20 018 ToMAToMP: Robust and Multi-Parameter Topological Clustering arXiv Paper Ludo Andrianirina, Mathieu Carrière May 14 019 A Stable Distance Persistence Homology for Dynamic Bayesian Network Clustering arXiv Paper W. Bales, Carmen Rovi May 11 020 Multi-Agent System Identification with Nonlinear Sheaf Diffusion arXiv Paper Nivar Anwer, Hans Riess et al. May 11 021 TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection arXiv Paper Farid Hazratian, Ali Zia et al. May 9 022 Have Graph -- Will Lift? The Case for Higher-Order Benchmarks arXiv Paper Bastian Rieck May 8 023 TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information arXiv Paper Matteo Biagetti et al. May 8 024 Geometry-Aware Simplicial Message Passing arXiv Paper E. Wang, Bastian Rieck May 7 025 No Triangulation Without Representation: Generalization in Topological Deep Learning arXiv Paper Johannes S Schmidt, Martin Carrasco et al. May 7 026 A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification arXiv Paper S. Majhi, Atish Mitra et al. May 5 027 A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification arXiv Paper S. Majhi, Atish Mitra et al. May 4 028 Persistent Homology of Time Series through Complex Networks arXiv Paper İsmail Güzel May 2 029 Topological Neural Tangent Kernel arXiv Paper Sanjukta Krishnagopal May 1 030 Topology-Aware Representation Alignment for Semi-Supervised Vision-Language Learning arXiv Paper Junwon You, Mihyun Jang et al. Apr 29 031 A Functorial Formulation of Neighborhood Aggregating Deep Learning arXiv Paper Sun Woo Park, Yuncheol Choi et al. Apr 27 032 Fixation Sequences as Time Series: A Topological Approach to Dyslexia Detection arXiv Paper M. Huber, D. Reich et al. Apr 23 033 Contraction and Hourglass Persistence for Learning on Graphs, Simplices, and Cells arXiv Paper Mattie Ji, Indradyumna Roy et al. Apr 19 034 Phase-Scheduled Multi-Agent Systems for Token-Efficient Coordination arXiv Paper Mohit Dubey Apr 19 035 Lectures on AI for Mathematics arXiv Paper Xiaoyan Chen Apr 13 036 Topological Characterization of Churn Flow and Unsupervised Correction to the Wu Flow-Regime Map in Small-Diameter Vertical Pipes arXiv Paper B. Koenig, S. Majhi et al. Apr 7 037 Stratifying Reinforcement Learning with Signal Temporal Logic arXiv Paper J. Curry, Alberto Speranzon Apr 6 038 How much of persistent homology is topology? A quantitative decomposition for spin model phase transitions arXiv Paper Matthew Loftus Mar 30 039 Persistence diagrams of random matrices via Morse theory: universality and a new spectral diagnostic arXiv Paper Matthew Loftus Mar 29 040 Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series arXiv Paper Jhonathan Barrios et al. Mar 28 041 Persistence-based topological optimization: a survey arXiv Paper Mathieu Carriere et al. Mar 24 042 Universal Coefficients and Mayer-Vietoris for Moore Homology of Ample Groupoids arXiv Paper Luciano Melodia Mar 21 043 Functorial Neural Architectures from Higher Inductive Types arXiv Paper Karen Sargsyan Mar 17 044 Interpretable Classification of Time Series Using Euler Characteristic Surfaces arXiv Paper S. R. Luwang, S. Majhi et al. Mar 16 045 Neural Networks as Local-to-Global Computations arXiv Paper V. Boscá, R. Ghrist Mar 16 046 Persistence Spheres: a Bi-continuous Linear Representation of Measures for Partial Optimal Transport arXiv Paper M. Pegoraro Mar 16 047 Quotient Geometry and Persistence-Stable Metrics for Swarm Configurations arXiv Paper Mark M. Bailey Mar 14 048 An Extended Topological Model For High-Contrast Optical Flow arXiv Paper Brad Turow et al. Mar 6 049 PTOPOFL: Privacy-Preserving Personalised Federated Learning via Persistent Homology arXiv Paper K. L. Vomo-Donfack, Adryel Hoszu et al. Mar 4 050 Learning Tangent Bundles and Characteristic Classes with Autoencoder Atlases arXiv Paper Eduardo Paluzo-Hidalgo, Yuichi Ike Feb 26 051 G-LoG Bi-filtration for Medical Image Classification arXiv Paper Qingsong Wang, Jiaxing He et al. Feb 20 052 Universal Coefficients and Mayer-Vietoris Sequence for Groupoid Homology arXiv Paper Luciano Melodia Feb 9 053 Topology and Geometry of the Learning Space of ReLU Networks: Connectivity and Singularities arXiv Paper Marco Nurisso et al. Jan 31 054 A Sheaf-Theoretic and Topological Perspective on Complex Network Modeling and Attention Mechanisms in Graph Neural Models arXiv Paper Chuan-Shen Hu Jan 29 055 Jordan-Segmentable Masks: A Topology-Aware definition for characterizing Binary Image Segmentation arXiv Paper Serena Grazia De Benedictis, A. Altavilla et al. Jan 15 056 Frequent subgraph-based persistent homology for graph classification arXiv Paper Xinyang Chen et al. Dec 31, 2025 057 Heterogeneous Multi-Agent Multi-Target Tracking using Cellular Sheaves arXiv Paper Tyler Hanks et al. Dec 31, 2025 058 Persistent Homology via Finite Topological Spaces arXiv Paper Selçuk Kayacan Dec 29, 2025 059 TUN: Detecting Significant Points in Persistence Diagrams with Deep Learning arXiv Paper Yu Chen, Hong Lin Dec 16, 2025 060 Probabilistic Foundations of Fuzzy Simplicial Sets for Nonlinear Dimensionality Reduction arXiv Paper J. Keck, Lukas Silvester Barth et al. Dec 3, 2025