Topological Persistence and Simplification

Cited by (1,811)

Items 801–900 of 1,811

1. Visualizing Dynamic Gene Interactions to Reverse Engineer Gene Regulatory Networks Using Topological Data Analysis
   Miriam Perkins, Karen Daniels · 2017 · International Conference on Information Visualisation (IV)
2. Information Topological Characterization of Periodically Correlated Processes by Dilation Operators
   Guillaume Bouleux, Maël Dugast, Éric Marcon · 2019 · IEEE Transactions on Information Theory
3. A $k$-points-based distance for robust geometric inference
   Claire Brécheteau, Clément Levrard · 2020 · Bernoulli
4. Toward Unsupervised, Multi-object Discovery in Large-Scale Image Collections
   Huy V. Vo, Patrick Pérez, Jean Ponce · 2020 · Lecture notes in computer science
5. From Topological Analyses to Functional Modeling: The Case of Hippocampus
   Yuri A. Dabaghian · 2021 · Frontiers in Computational Neuroscience
6. Topologically-consistent simplification of discrete Morse complex
   Federico Iuricich, Ulderico Fugacci, Leila De Floriani · 2015 · Computers & Graphics
7. An Optimal Linear Time Algorithm for Quasi-Monotonic Segmentation
   Daniel Lemire A, Martin Brooks, Yuhong Yan · 2006 · Proceedings
8. Topology of angle valued maps, bar codes and Jordan blocks
   Dan Burghelea, Stefan Haller · 2013 · arXiv (Cornell University)
9. Inequalities for the curvature of curves and surfaces
   David Cohen‐Steiner, Herbert Edelsbrunner · 2005 · Annual Symposium on Computational Geometry (SoCG)
10. Measuring and Localizing Homology Classes
    Daniel Z. Freedman, Chao Chen · 2008 · arXiv (Cornell University)
11. Structure in the 3D Galaxy Distribution: II. Voids and Watersheds of Local Maxima and Minima
    Michael Joseph Way, P. R. Gazis, Jeffrey D. Scargle · 2016
12. A computational topology-based spatiotemporal analysis technique for honeybee aggregation
    Golnar Gharooni Fard, Morgan Byers, Varad Deshmukh, Elizabeth Bradley, Carissa Mayo, Chad M. Topaz, Orit Peleg · 2024 · npj Complexity
13. Towards Analysis of Multivariate Time Series Using Topological Data Analysis
    Jingyi Zheng, Ziqin Feng, Arne D. Ekstrom · 2024 · Mathematics
14. Morphological multiparameter filtration and persistent homology in mitochondrial image analysis
    Yu-Min Chung, Chuan-Shen Hu, Emily Sun, Henry C. Tseng · 2024 · PLoS ONE
15. Active Particles Knead Three-Dimensional Gels into Porous Structures
    Martin Cramer Pedersen, Sourav Mukherjee, Amin Doostmohammadi · 2024 · Physical Review Letters
16. A General Framework for Augmenting Lossy Compressors With Topological Guarantees
    Nathaniel Gorski, Xin Liang, Hanqi Guo · 2025 · IEEE Transactions on Visualization and Computer Graphics
17. A Topological Approach to Protein–Protein Interaction Networks: Persistent Homology and Algebraic Connectivity
    José Alberto Rodrigues · 2025 · International Journal of Topology
18. Machine learning of time series data using persistent homology
    Takashi Ichinomiya · 2025 · Scientific Reports
19. Characterization of fractured zones via topological analysis of 3D seismic diffraction images
    Maxim I. Protasov, Tatyana S. Khachkova, Dmitriy Romanovich Kolyukhin · 2019 · Geophysics
20. University Academic Performance Development Prediction Based on TDA
    Daohua Yu, Xin Zhou, Yu Rong Pan, Zhendong Niu, Yuan Xu, Huafei Sun · 2022 · Entropy
21. Supervised topological data analysis for MALDI mass spectrometry imaging applications
    Gideon Klaila, Vladimir Vutov, Anastasios Stefanou · 2023 · BMC Bioinformatics
22. A novel multi-task machine learning classifier for rare disease patterning using cardiac strain imaging data
    Nanda Krishnan Siva, Yashbir Singh, Quincy Alexander Hathaway, Partho P. Sengupta, Naveena V. K. Yanamala · 2024 · Scientific Reports
23. Multi-Cover Persistence (MCP)-based machine learning for polymer property prediction
    Yipeng Zhang, Cong Shen, Kelin Xia · 2024 · Briefings in Bioinformatics
24. Semi-supervised Segmentation of Histopathology Images with Noise-Aware Topological Consistency
    Meilong Xu, Xiaoling Hu, Saumya Gupta, Shahira Abousamra, Chao Chen · 2024 · Lecture notes in computer science
25. Flexible and Probabilistic Topology Tracking With Partial Optimal Transport
    Mingzhe Li, Xinyuan Yan, Yan Lin · 2025 · IEEE Transactions on Visualization and Computer Graphics
26. A graph, non-tree representation of the topology of a gray scale image
    Peter Saveliev · 2011 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
27. Beyond Topological Persistence: Starting from Networks
    Mattia G. Bergomi, Massimo Ferri, Pietro Vertechi, Lorenzo Zuffi · 2021 · Mathematics
28. Bootstrapping persistent Betti numbers and other stabilizing statistics
    Benjamin Roycraft, Johannes Krebs, Wolfgang Polonik · 2023 · The Annals of Statistics
29. Event history and topological data analysis
    Kathryn Garside, Aida Gjoka, Robin Henderson, H Johnson, Irina Makarenko · 2020 · Biometrika
30. Persistent homology for hypergraphs and computational tools — A survey for users
    Shiquan Ren · 2020 · Journal of Knot Theory and Its Ramifications
31. The modeling of forecasting new situations in the dynamics of the economic system on the example of several financial indicators
    Наиля Габдрахманова, V. Fedin, B. Matsuta · 2021 · Procedia Computer Science
32. Analysis of the Trends Between Indoor Carbon Dioxide Concentration and Plug-Level Electricity Usage Through Topological Data Analysis
    Shun Endo, Shinji Yokogawa · 2021 · IEEE Sensors Journal
33. ANAPT: Additive noise analysis for persistence thresholding
    Audun Myers, Firas A. Khasawneh, Brittany Terese Fasy · 2022 · Foundations of Data Science
34. A Topological Tree of Shapes
    Nicolas Passat, Yukiko Kenmochi⋆ · 2022 · Lecture notes in computer science
35. Biomolecular Topology: Modelling and Analysis
    Jian Liu, Kelin Xia, Jie Wu, Stephen S.‐T. Yau, Guo‐Wei Wei · 2022 · Acta Mathematica Sinica English Series
36. Convergence of persistence diagram in the sparse regime
    Takashi Owada · 2022 · The Annals of Applied Probability
37. Topological Knowledge Distillation for Wearable Sensor Data
    Eun Som Jeon, Hongjun Choi, Ankita Shukla · 2022 · 2018 52nd Asilomar Conference on Signals, Systems, and Computers
38. Multiscale geometric and topological analyses for characterizing and predicting immune responses from single cell data
    Aarthi Venkat, Dhananjay Bhaskar, Smita Krishnaswamy · 2023 · Trends in Immunology
39. Topological data analysis reveals differences between simulated galaxies and dark matter haloes
    Aaron Ouellette, Gilbert P Holder, Ely Kerman · 2023 · Monthly Notices of the Royal Astronomical Society
40. A Novel Framework for Visual Detection and Exploration of Performance Bottlenecks in Organic Photovoltaic Solar Cell Materials
    Amal Aboulhassan, Daniel Baum, Olga Wodo · 2015 · Computer Graphics Forum
41. Persistence-based handle and tunnel loops computation revisited for speed up
    Tamal K. Dey, Kuiyu Li · 2009 · Computers & Graphics
42. TRACKING A GENERATOR BY PERSISTENCE
    Oleksiy Busaryev, Tamal K. Dey, Yusu Wang · 2010 · Discrete Mathematics Algorithms and Applications
43. Relation between total variation and persistence distance and its application in signal processing
    Gerlind Plonka, Yi Zheng · 2015 · Advances in Computational Mathematics
44. The Coherent Matching Distance in 2D Persistent Homology
    Andrea Cerri, Marc Ethier, Patrizio Frosini · 2016 · Lecture notes in computer science
45. Heterogeneous spatial data: fusion, modeling, and analysis for GIS applications
    Giuseppe Patanè, Michela Spagnuolo · 2016 · CERN Document Server (European Organization for Nuclear Research)
46. Feature-aware streamline generation of planar vector fields via topological methods
    Chuanjiang Luo, Issam Safa, Yusu Wang · 2012 · Computers & Graphics
47. Rigorous cubical approximation and persistent homology of continuous functions
    Paweł Dłotko, Thomas Wanner · 2017 · Computers & Mathematics with Applications
48. Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems. Part II: Properties of the Index
    Bogdan Batko · 2017 · SIAM Journal on Applied Dynamical Systems
49. Matroids And Canonical Forms: Theory And Applications
    Gregory Henselman · 2017 · ScholarlyCommons (University of Pennsylvania)
50. Characterising Epithelial Tissues Using Persistent Entropy
    Nieves Atienza, Luis M. Escudero, María-José Jiménez · 2018 · Lecture notes in computer science
51. Probing Modified Gravity in Cosmic Filaments
    Alex Ho, Max Grönke, Bridget Falck · 2018 · Springer Link (Chiba Institute of Technology)
52. Topological Signal Processing in Neuroimaging Studies
    Yuan Wang, Roozbeh Behroozmand, Lorelei Phillip Johnson · 2020
53. Legendrian persistence modules and dynamics
    Michael Entov A, Leonid Polterovich · 2022 · Journal of Fixed Point Theory and Applications
54. Adaptive multi‐scale analysis for point‐based surface editing
    Georges Nader, Gaël Guennebaud, Nicolas Mellado · 2014 · Computer Graphics Forum
55. Extraction of Robust Voids and Pockets in Proteins
    Raghavendra Sridharamurthy, Talha Bin Masood, Harish Doraiswamy · 2016 · Mathematics and visualization
56. A framework for geometric quantification and forecasting of cost uncertainty for aerospace innovations
    Oliver Schwabe, Essam Shehab, John Ahmet Erkoyuncu · 2016 · Progress in Aerospace Sciences
57. Homological Shape Analysis Through Discrete Morse Theory
    Leila De Floriani, Ulderico Fugacci, Federico Iuricich · 2016 · Mathematics and visualization
58. Model Selection for Simplicial Approximation
    Claire Caillerie, Bertrand Michel · 2011 · Foundations of Computational Mathematics
59. Automatic Extraction of Surface Structures in Digital Shape Reconstruction
    Tamás Várady, Michael A. Facello, Zsolt Terék · 2006 · Lecture notes in computer science
60. The Shape of Data
    Gunnar Carlsson · 2012 · Cambridge University Press eBooks
61. Reconstructing forest canopy from the 3D triangulations of airborne laser scanning point data for the visualization and planning of forested landscapes
    Jari Vauhkonen, Roope Ruotsalainen · 2017 · Annals of Forest Science
62. The Landscape of Complex Networks
    E Weinan, Jianfeng Lu, Yuan Yao · 2012 · arXiv (Cornell University)
63. Persistent cohomology for data with multicomponent heterogeneous information
    Zixuan Cang, Guo‐Wei Wei · 2018 · arXiv (Cornell University)
64. Unsupervised Space-Time Clustering using Persistent Homology
    Umar Islambekov, Yulia R. Gel · 2019 · arXiv (Cornell University)
65. giotto-ph: A Python Library for High-Performance Computation of Persistent Homology of Vietoris-Rips Filtrations
    Julián Burella Pérez, Sydney Hauke, Lupo, Umberto · 2021 · arXiv (Cornell University)
66. Continuous Indexing of Fibrosis (CIF): Improving the Assessment and Classification of MPN Patients
    Hosuk Ryou, Korsuk Sirinukunwattana, Alan Aberdeen et al. · 2022 · medRxiv
67. Molecular Topological Deep Learning for Polymer Property Prediction
    Cong Shen, Yipeng Zhang, Tze Kwang Gerald Er, Fei Han, Atsushi Goto, Kelin Xia · 2026 · ACS Nano
68. Topological data analysis expands the genotype to phenotype map for 3D maize root system architecture
    Mao Li, Zhengbin Liu, Ni Jiang · 2024 · Frontiers in Plant Science
69. The topology of data hides in quantum thermal states
    Stefano Scali, Chukwudubem Umeano, Oleksandr Kyriienko · 2024 · APL Quantum
70. Dynamic topological data analysis: a novel fractal dimension-based testing framework with application to brain signals
    Anass B. El-Yaagoubi, Moo Kwon Chung, Hernando Ombao · 2024 · Frontiers in Neuroinformatics
71. Mapper-Based Rough Sets
    Mauricio Restrepo, Chris Cornelis · 2024 · Lecture notes in computer science
72. Computing the alpha complex using dual active set quadratic programming
    Erik Carlsson, John Gunnar Carlsson · 2024 · Scientific Reports
73. Persistent homology approach for uncovering transitions to Chaos
    Waqar Hussain Shah, R. Jaimes-Reátegui, Guillermo Huerta-Cuellar, Juan Hugo García-López, Alexander N. Pisarchik · 2025 · Chaos Solitons & Fractals
74. Reservoir computing approaches to unsupervised concept drift detection in dynamical systems
    Braden Thorne, Débora Corrêa, Ayham Zaitouny · 2025 · Chaos An Interdisciplinary Journal of Nonlinear Science
75. The hitchhiker's guide to the galaxy of mathematical tools for shape analysis
    Silvia Biasotti, Bianca Falcidieno, Daniela Giorgi, Michela Spagnuolo · 2012 · ACM SIGGRAPH Courses
76. Topological Analysis of Rough Surfaces Using Persistent Homology
    Ken Yamamoto · 2015 · Journal of the Physical Society of Japan
77. Shape-based Feature Engineering for Solar Flare Prediction
    Thomas Edward Berger, James D. Meiss, Elizabeth Bradley · 2020 · CU Scholar (University of Colorado Boulder)
78. Topology-driven goodness-of-fit tests in arbitrary dimensions
    Paweł Dłotko, Niklas Hellmer, Łukasz Stettner, Rafał Topolnicki · 2023 · Statistics and Computing
79. Periodic implicit representation, design and optimization of porous structures using periodic B-splines
    Depeng Gao, Yang Gao, Hongwei Lin · 2024 · Computer-Aided Design
80. Computing hypergraph homology
    Xiang Liu, Huitao Feng, Jie Wu, Kelin Xia · 2024 · Foundations of Data Science
81. Extracting features buried within high density atom probe point cloud data through simplicial homology
    Srikant Srinivasan, Kaustubh Kaluskar, Scott Broderick, Krishna Rajan · 2015 · Ultramicroscopy
82. Stable Length Estimates of Tube-Like Shapes
    Herbert Edelsbrunner, Florian Pausinger · 2013 · Journal of Mathematical Imaging and Vision
83. Homological reconstruction and simplification in R3
    Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, André Lieutier · 2014 · Computational Geometry
84. Tracking features in image sequences using discrete Morse functions
    Gregor Jerše, Neža Mramor Kosta · 2010 · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)
85. Comparing methods for the approximation of rainfall fields in environmental applications
    Giuseppe Patanè, Andrea Cerri, Vibeke Skytt · 2016 · ISPRS Journal of Photogrammetry and Remote Sensing
86. Open Problems in Computational Topology
    William I. Gasarch, Brittany Terese Fasy, Bei Wang · 2017 · ACM SIGACT News
87. On quantification of geometry and topology of protein pockets and channels for assessing mutation effects
    Wei Tian, Jie Liang · 2018 · IEEE EMBS International Conference on Biomedical & Health Informatics (BHI)
88. Persistent local systems
    Robert MacPherson, Amit Patel · 2021 · Advances in Mathematics
89. An Equivalence Relation Between Morphological Dynamics and Persistent Homology in 1D
    Nicolas Boutry, Thierry Géraud, Laurent Najman · 2019 · Lecture notes in computer science
90. Efficient Homology‐Preserving Simplification of High‐Dimensional Simplicial Shapes
    Riccardo Fellegara, Federico Iuricich, Leila De Floriani, Ulderico Fugacci · 2019 · Computer Graphics Forum
91. Removing uncertainty in neural networks
    Arturo Tozzi, James Francis Peters · 2020 · Cognitive Neurodynamics
92. Persistence Analysis of Multi‐scale Planar Structure Graph in Point Clouds
    Thibault Lejemble, Claudio Mura, Loïc Barthe · 2020 · Computer Graphics Forum
93. Segmentation of biomedical images based on a computational topology framework
    Rodrigo Rojas Moraleda, Wei Xiong, Nektarios A. Valous · 2020 · Seminars in Immunology
94. Image = Structure + Few Colors
    Darshan Batavia, Rocı́o González-Dı́az, Walter G. Kropatsch · 2021 · Lecture notes in computer science
95. Bayesian topological signal processing
    Christopher Oballe, Alan Cherne, Dave Boothe, Scott E. Kerick, Piotr J. Franaszczuk, Vasileios Maroulas · 2021 · Discrete and Continuous Dynamical Systems - S
96. Towards replacing physical testing of granular materials with a Topology-based Model
    Aniketh Venkat, Attila Gyulassy, Graham Kosiba · 2021 · IEEE Transactions on Visualization and Computer Graphics
97. Persistent Homology in LiDAR-Based Ego-Vehicle Localization
    Naoki Akai, Takatsugu Hirayama, Hiroshi Murase · 2021 · IEEE Intelligent Vehicles Symposium
98. A higher homotopic extension of persistent (co)homology
    Estanislao Herscovich · 2017 · Journal of Homotopy and Related Structures
99. An Approach for Selecting Cost Estimation Techniques for Innovative High Value Manufacturing Products
    Oliver Schwabe, Essam Shehab, John Ahmet Erkoyuncu · 2016 · Procedia CIRP
100. Approximating the pathway axis and the persistence diagram of a collection of balls in 3-space
     Eitan Yaffe, Dan Halperin · 2008 · Annual Symposium on Computational Geometry (SoCG)