Topological Persistence and Simplification

Cited by (1,811)

Items 701–800 of 1,811

1. Persistence Cycles for Visual Exploration of Persistent Homology
   Federico Iuricich · 2021 · IEEE Transactions on Visualization and Computer Graphics
2. Topological data analysis via unsupervised machine learning for recognizing atmospheric river patterns on flood detection
   Felix Obi Ohanuba, Mohd Tahir Ismail, Majid Khan Majahar Ali · 2021 · Scientific African
3. Euler characteristic curves and profiles: a stable shape invariant for big data problems
   Paweł Dłotko, Davide Gurnari · 2022 · GigaScience
4. Using persistent homology to recover spatial information from encounter traces
   Brenton D. Walker · 2008 · ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)
5. Discrete Dynamical System Framework for Construction of Connections between Critical Regions in Lattice Height Data
   Madjid Állili, David Corriveau, Sara Derivière · 2007 · Journal of Mathematical Imaging and Vision
6. Asymptotic behavior of lifetime sums for random simplicial complex processes
   Masanori HINO, Shu KANAZAWA · 2019 · Journal of the Mathematical Society of Japan
7. Acyclic Partial Matchings for Multidimensional Persistence: Algorithm and Combinatorial Interpretation
   Madjid Állili, Tomasz Kaczyński, Claudia Landi, Filippo Masoni · 2018 · Journal of Mathematical Imaging and Vision
8. Persistent entropy: a scale-invariant topological statistic for analyzing cell arrangements
   María Nieves Atienza Martínez, Luis M. Escudero, María José Jiménez Rodríguez · 2019
9. Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields
   Yaroslav Bazaikin, В. А. Байков, Iskander Asanovich Taimanov, A. A. Yakovlev · 2013 · arXiv (Cornell University)
10. ABSTRACT AND CLASSICAL HODGE–DE RHAM THEORY
    Nat Smale, Steve Smale · 2012 · Analysis and Applications
11. Randomly Weighted $d-$complexes: Minimal Spanning Acycles and Persistence Diagrams
    Primož Škraba, Gugan Thoppe, Dhandapani Yogeshwaran · 2017 · arXiv (Cornell University)
12. Generalized Persistence Algorithm for Decomposing Multi-parameter Persistence Modules
    Tamal K. Dey, Cheng Xin · 2019 · arXiv (Cornell University)
13. Persistent and Zigzag Homology: A Matrix Factorization Viewpoint
    Gunnar Carlsson, Dwaraknath, Anjan, Bradley J. Nelson · 2019 · arXiv (Cornell University)
14. A topological data analysis based classifier
    Rolando Kindelan, José Frías, Mauricio Cerda · 2023 · Advances in Data Analysis and Classification
15. The Combination of Topological Data Analysis and Mathematical Modeling Improves Sleep Stage Prediction From Consumer-Grade Wearables
    Minki P. Lee, Dae Wook Kim, Caleb Mayer, Olivia Walch, Daniel B. Forger · 2024 · Journal of Biological Rhythms
16. Data-driven topology design with persistent homology for enhancing population diversity
    Taisei Kii, Kentaro Yaji, Hiroshi Teramoto, Kikuo FUJITA · 2025 · International Journal of Mechanical Sciences
17. CAPD::RedHom v2 - Homology Software Based on Reduction Algorithms
    Mateusz Juda, Marian Mrożek · 2014 · Lecture notes in computer science
18. Mesh generation and geometric persistent homology
    Gary Lee Miller, Donald R. Sheehy · 2011
19. Homological analysis of multi-qubit entanglement
    Alessandra Di Pierro, Stefano Mancini, Laleh Memarzadeh · 2018 · Europhysics Letters (EPL)
20. Mathematical Tools for Shape Analysis and Description
    Silvia Biasotti, Bianca Falcidieno, Daniela Giorgi, Michela Spagnuolo · 2014 · Synthesis lectures on computer graphics and animation
21. Intra-hour solar irradiance forecasting using topology data analysis and physics-driven deep learning
    Tian Han, Ruimeng Li, Xiao Wang, Ying Wang, Kang Chen, Huaiwu Peng, Zhenxin Gao, Nannan Wang, Qinke Peng · 2024 · Renewable Energy
22. ChatGPT for computational topology
    Jian Liu, Li Shen, Guo‐Wei Wei · 2024 · Foundations of Data Science
23. Comparison of persistent homologies for vector functions: From continuous to discrete and back
    Niccolò Cavazza, Marc Ethier, Patrizio Frosini, Tomasz Kaczyński, Claudia Landi · 2013 · Computers & Mathematics with Applications
24. Exploration of High-Dimensional Scalar Function for Nuclear Reactor Safety Analysis and Visualization
    Dan Maljovec, Bei Wang, Valerio Pascucci, Peer‐Timo Bremer, Michael Pernice, Diego Mandelli, Robert R. Nourgaliev · 2013 · University of North Texas Digital Library (University of North Texas)
25. Contour trees of uncertain terrains
    Wuzhou Zhang, Pankaj K. Agarwal, Sayan Mukherjee · 2015 · ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems (SIGSPATIAL GIS)
26. Probing modified gravity in cosmic filaments
    Alex Ho, Max Gronke, Bridget Falck · 2018 · Astronomy and Astrophysics
27. Loop homology of bi-secondary structures
    Andrei C. Bura, Qijun He, Christian M. Reidys · 2021 · Discrete Mathematics
28. Exact Probability Landscapes of Stochastic Phenotype Switching in Feed-Forward Loops: Phase Diagrams of Multimodality
    Anna Terebus, Farid Manuchehrfar, Youfang Cao, Jie Liang · 2021 · Frontiers in Genetics
29. Persistent spectral simplicial complex-based machine learning for chromosomal structural analysis in cellular differentiation
    Weikang Gong, JunJie Wee, Min-Chun Wu, Xiaohan Sun, Chunhua Li, Kelin Xia · 2022 · Briefings in Bioinformatics
30. Persistent Tor-algebra for protein–protein interaction analysis
    Xiang Liu, Huitao Feng, Zhi Lü, Kelin Xia · 2023 · Briefings in Bioinformatics
31. MEASURING THE SHAPES OF MACROMOLECULES – AND WHY IT MATTERS
    Jie Li, Paul Mach, Patrice Koehl · 2013 · Computational and Structural Biotechnology Journal
32. Toward Localized Topological Data Structures: Querying the Forest for the Tree
    Pavol Klacansky, Attila G. Gyulassy, Peer‐Timo Bremer · 2019 · IEEE Transactions on Visualization and Computer Graphics
33. Geometry Helps to Compare Persistence Diagrams
    Michael Kerber, Dmitriy Morozov, Arnur Nigmetov · 2016 · arXiv (Cornell University)
34. Persistent spectral based machine learning (PerSpect ML) for drug design
    Zhenyu Meng, Kelin Xia · 2020 · arXiv (Cornell University)
35. Feature Detection and Hypothesis Testing for Extremely Noisy Nanoparticle Images using Topological Data Analysis
    Andrew M. Thomas, Peter A. Crozier, Yuchen Xu, David S. Matteson · 2023 · Technometrics
36. Persistent Mayer Dirac
    Faisal Suwayyid, Guo‐Wei Wei · 2024 · Journal of Physics Complexity
37. Feature vectorization of microphase-separated structures in polymeric materials using dissipative particle dynamics and persistent homology for machine learning applications
    Y. Higashi, Koji Okuwaki, Yuji Mochizuki, Tsuyohiko Fujigaya, Koichiro Kato · 2025 · Digital Discovery
38. I/o-efficient efficient algorithms for computing contours on a terrain
    Pankaj K. Agarwal, Lars Arge, Thomas Mølhave · 2008 · Annual Symposium on Computational Geometry (SoCG)
39. STRUCTURE IN THE 3D GALAXY DISTRIBUTION. II. VOIDS AND WATERSHEDS OF LOCAL MAXIMA AND MINIMA
    M. J. Way, P. R. Gazis, Jeffrey D. Scargle · 2015 · The Astrophysical Journal
40. On the Topological Data Analysis extensions and comparisons
    Alaa Hassan Noreldeen, Alaa Hassan Noreldeen Mohamed · 2017 · Journal of the Egyptian Mathematical Society
41. From mutations to mechanisms and dysfunction via computation and mining of protein energy landscapes
    Wanli Qiao, Nasrin Akhter, Xiaowen Fang, Tatiana Maximova, Erion Plaku, Amarda Shehu · 2018 · BMC Genomics
42. Topology of angle valued maps, bar codes and Jordan blocks
    Dan Burghelea, Stefan Haller · 2017 · Journal of Applied and Computational Topology
43. Characterization of gene expression patterns in mild cognitive impairment using a transcriptomics approach and neuroimaging endophenotypes
    Apoorva Bharthur Sanjay, Alice Patania, Xiaoran Yan, Diana Otero Svaldi, Tuğçe Duran, Niraj Shah, Sára Nemes, Eric Chen, Liana G. Apostolova · 2022 · Alzheimer s & Dementia
44. Persistent Homology: A Topological Tool for Higher-Interaction Systems
    Francesco Vaccarino, Ulderico Fugacci, Sara Scaramuccia · 2022 · Understanding complex systems
45. Persistent homology classification algorithm
    Mark Lexter D. De Lara · 2023 · PeerJ Computer Science
46. Persistence B-spline grids: stable vector representation of persistence diagrams based on data fitting
    Zhetong Dong, Hongwei Lin, Chi Zhou, Ben Zhang, Gengchen Li · 2024 · Machine Learning
47. Enhanced Topology-Sensitive Clustering by Reeb Graph Shattering
    W. Harvey, Oliver Rübel, Valerio Pascucci · 2011 · Mathematics and visualization
48. Toward the Extraction of Saddle Periodic Orbits
    Jens Kasten, Jan Reininghaus, Wieland Reich · 2014 · Mathematics and visualization
49. Topological simplification of isosurfaces in volumetric data using octrees
    James Vanderhyde, Andrzej Szymczak · 2007 · Graphical Models
50. Multi‐scale Geometric Modeling of Ambiguous Shapes with : oleranced Balls and Compoundly Weighted α‐shapes
    Frédéric Cazals, Tom Dreyfus · 2010 · Computer Graphics Forum
51. Topological Characteristics of Oil and Gas Reservoirs and Their Applications
    В. А. Байков, Rustem Gilmanov, Iskander Asanovich Taimanov · 2017 · Lecture notes in computer science
52. A topological study of functional data and Fréchet functions of metric measure spaces
    Haibin Hang, Facundo Mémoli, Washington Mio · 2019 · Journal of Applied and Computational Topology
53. Topological analysis of traffic pace via persistent homology*
    Daniel Carmody, Richard B. Sowers · 2020 · Journal of Physics Complexity
54. Some Results on Simplical Homology Groups of 2D Digital Images.
    İsmet Karaca, Özgür Ege · 2012 · International Journal of Information and Computer Science
55. javaPlex: a research platform for persistent homology
    Andrew Tausz, Mikael Vejdemo‐Johansson, Henry Adams · 2012
56. Analyzing wireless communication network vulnerability with homological invariants
    Michael Robinson · 2014 · IEEE Global Conference on Signal and Information Processing
57. Geometry and Morphology of the Cosmic Web: Analyzing Spatial Patterns in the Universe
    Rien van de Weygaert, Bernard J. T. Jones, Erwin Platen · 2009
58. Higher Interpolation and Extension for Persistence Modules
    Peter Bubenik, Vin de Silva, Vidit Nanda · 2017 · SIAM Journal on Applied Algebra and Geometry
59. Topology-Based Analysis for Multimodal Atmospheric Data of Volcano Eruptions
    Alexander Kühn, Wito Engelke, Markus Flatken · 2017 · Mathematics and visualization
60. Efficient Software for Programmable Visual Analysis Using Morse-Smale Complexes
    Nithin Shivashankar, Vijay Natarajan · 2017 · Mathematics and visualization
61. Edge contraction in persistence-generated discrete Morse vector fields
    Tamal K. Dey, Ryan Slechta · 2018 · Computers & Graphics
62. Voronoi‐based detection of pockets in proteins defined by large and small probes
    Martin Maňák · 2019 · Journal of Computational Chemistry
63. Persistence barcodes versus Kolmogorov signatures: Detecting modes of one-dimensional signals.
    Bauer, U., Axel Munk, Hannes Sieling, Max Wardetzky · 2017 · MPG.PuRe (Max Planck Society)
64. Matrix method for persistence modules on commutative ladders of finite type
    Hideto Asashiba, Emerson G. Escolar, Yasuaki Hiraoka, Hiroshi Takeuchi · 2018 · Japan Journal of Industrial and Applied Mathematics
65. Alpha-Beta Witness Complexes
    Dominique Attali, Herbert Edelsbrunner, John Harer, Yuriy Mileyko · 2007 · Lecture notes in computer science
66. Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps
    Tamal K. Dey, Facundo Mémoli, Yusu Wang · 2015 · arXiv (Cornell University)
67. Functional Data Analysis using a Topological Summary Statistic: the Smooth Euler Characteristic Transform
    Lorin A. Crawford, Anthea Monod, Andrew Chen, Sayan Mukherjee, Raúl Rabadán · 2016 · arXiv (Cornell University)
68. Limit theorems for persistence diagrams
    Trinh Khanh Duy, Yasuaki Hiraoka, Tomoyuki Shirai · 2016 · arXiv (Cornell University)
69. A Study on the Baryon Acoustic Oscillation with Topological Data Analysis
    Kai T. Kono, Tsutomu T. Takeuchi, Suchetha Cooray · 2020 · arXiv (Cornell University)
70. TTK is Getting MPI-Ready
    Eve Le Guillou, Michael Will, Pierre Guillou · 2024 · IEEE Transactions on Visualization and Computer Graphics
71. Probing Multipartite Entanglement Through Persistent Homology
    Gregory A. Hamilton, Felix Leditzky · 2024 · Communications in Mathematical Physics
72. Homotopy, homology, and persistent homology using closure spaces
    Peter Bubenik, Nikola Milićević · 2024 · Journal of Applied and Computational Topology
73. Data-driven topology optimization using a multitask conditional variational autoencoder with persistent homology
    Tomotaka SUGAI, Kohei Shintani, Takayuki Yamada · 2024 · Structural and Multidisciplinary Optimization
74. Acute lymphoblastic leukemia classification using persistent homology
    Waqar Hussain Shah, Abdullah Baloch, R. Jaimes-Reátegui, Sohail Iqbal, Syeda Rafia Fatima, Alexander N. Pisarchik · 2024 · The European Physical Journal Special Topics
75. Fast Comparative Analysis of Merge Trees Using Locality Sensitive Hashing
    Weiran Lyu, Raghavendra Sridharamurthy, Jeff M. Phillips, Bei Wang · 2024 · IEEE Transactions on Visualization and Computer Graphics
76. Topological data analysis-based damage indices for plastered stone masonry walls under cyclic loading
    Ketson R.M. dos Santos, Amir Hossein Rezaie, Katrin Beyer · 2024 · Engineering Structures
77. Probabilistic machine learning pipeline using topological descriptors for real-time state estimation of high-rate dynamic systems
    Yang Kang Chua, Daniel Coble, Arman Razmarashooli · 2025 · Mechanical Systems and Signal Processing
78. Algebraic cycles from a computational point of view
    Carlos Simpson · 2007 · Theoretical Computer Science
79. Topology Data Analysis Using Mean Persistence Landscapes in Financial Crashes
    Alejandro Aguilar, Katherine Bennett Ensor · 2020 · Journal of Mathematical Finance
80. A Study of Monodromy in the Computation of Multidimensional Persistence
    Andrea Cerri, Marc Ethier, Patrizio Frosini · 2013 · Lecture notes in computer science
81. Quantifying 3D Shape Similarity Using Maps: Recent Trends, Applications and Perspectives
    Silvia Biasotti, Andrea Cerri, Alexander M. Bronstein, Michael M. Bronstein · 2014 · Eurographics
82. Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
    Mathieu Pont, Jules Vidal, Julien Tierny · 2022 · IEEE Transactions on Visualization and Computer Graphics
83. Topological persistence guided knowledge distillation for wearable sensor data
    Eun Som Jeon, Hongjun Choi, Ankita Shukla, Yuan Wang, Hyunglae Lee, Matthew Paul Buman, Pavan K. Turaga · 2023 · Engineering Applications of Artificial Intelligence
84. k-means clustering for persistent homology
    Yueqi Cao, Prudence Leung, Anthea Monod · 2024 · Advances in Data Analysis and Classification
85. THE THREE HUNDRED project: Estimating the dependence of gas filaments on the mass of galaxy clusters
    Sara Santoni, M. De Petris, Gustavo Yepes, A. Ferragamo, Matteo Bianconi, Meghan E. Gray, Ulrike Kuchner, Frazer R. Pearce, Weiguang Cui, S. Ettori · 2024 · Astronomy and Astrophysics
86. Robust obstacle segmentation based on topological persistence in outdoor traffic scenes
    Chunpeng Wei, Qian Ge, Somrita Chattopadhyay · 2014
87. A Progressive Approach to Scalar Field Topology
    Jules Vidal, Pierre Guillou, Julien Tierny · 2021 · IEEE Transactions on Visualization and Computer Graphics
88. With topological data analysis, predicting stock market crashes
    Bambang Pujiarto · 2021 · IJIIS International Journal of Informatics and Information Systems
89. Multiscale persistent topological descriptor for porous structure retrieval
    Zhetong Dong, Junyu Pu, Hongwei Lin · 2021 · Computer Aided Geometric Design
90. Improved approximate rips filtrations with shifted integer lattices and cubical complexes
    Aruni Choudhary, Michael Kerber, Sharath Raghvendra · 2021 · Journal of Applied and Computational Topology
91. Average Complexity of Matrix Reduction for Clique Filtrations
    Barbara Giunti, Guillaume Houry, Michael Kerber · 2022 · International Symposium on Symbolic and Algebraic Computation
92. Persistent Reeb Graph Matching for Fast Brain Search
    Yonggang Shi, Junning Li, Arthur W. Toga · 2014 · Lecture notes in computer science
93. Heterogenous Spatial Data: Fusion, Modeling, and Analysis for GIS Applications
    Giuseppe Patanè, Michela Spagnuolo · 2016 · Synthesis lectures on visual computing
94. Multiscale Topological Indices for the Quantitative Prediction of SARS CoV-2 Binding Affinity Change upon Mutations
    Jialin Bi, JunJie Wee, Xiang Liu, Cunquan Qu, Guanghui Wang, Kelin Xia · 2023 · Journal of Chemical Information and Modeling
95. Maximizing Adaptivity in Hierarchical Topological Models Using Cancellation Trees
    Peer‐Timo Bremer, Valerio Pascucci, Bernd Hamann · 2009 · Mathematics and visualization
96. Lipschitz Unimodal and Isotonic Regression on Paths and Trees
    Pankaj K. Agarwal, Jeff M. Phillips, Bardia Sadri · 2010 · Lecture notes in computer science
97. $$A_\infty $$ A ∞ -persistence
    Francisco Belchi Guillamon, Aniceto Murillo · 2014 · Applicable Algebra in Engineering Communication and Computing
98. Automatic, tensor-guided illustrative vector field visualization
    Cornelia Auer, Jens Kasten, Andrea Kratz · 2013 · IEEE Pacific Visualization Symposium
99. Homological reconstruction and simplification in R 3
    Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, André Lieutier · 2013 · Annual Symposium on Computational Geometry (SoCG)
100. 3D point cloud segmentation using topological persistence
     William J. Beksi, Nikolaos P. Papanikolopoulos · 2016 · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings