Lipschitz Functions Have L p -Stable Persistence

Elements of Algebraic Topology

Munkres, J. R. (2018) · CRC Press eBooks · doi:10.1201/9780429493911 · Cited by 2,113

Topological Persistence and Simplification

Edelsbrunner, Letscher, & Zomorodian (2002) · Discrete & Computational Geometry · doi:10.1007/s00454-002-2885-2 · Cited by 1,779

Computing Persistent Homology

Zomorodian, A., & Carlsson, G. (2005) · Discrete & Computational Geometry · doi:10.1007/s00454-004-1146-y · Cited by 1,591

ELEMENTS OF ALGEBRAIC TOPOLOGY

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Stability of Persistence Diagrams

Cohen-Steiner, D., Edelsbrunner, H., & Harer, J. (2007) · Discrete & Computational Geometry · doi:10.1007/s00454-006-1276-5 · Cited by 1,280

A High-Resolution Root Spatiotemporal Map Reveals Dominant Expression Patterns

Brady, S. M., Orlando, D. A., Lee, J., Wang, J. Y., Koch, J. D., Dinneny, J. R., Mace, D., Ohler, U., & Benfey, P. N. (2007) · Science · doi:10.1126/science.1146265 · Cited by 1,154

On the Translocation of Masses

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The Segmentation Clock: Converting Embryonic Time into Spatial Pattern

Pourquié, O. (2003) · Science · doi:10.1126/science.1085887 · Cited by 530

A Complex Oscillating Network of Signaling Genes Underlies the Mouse Segmentation Clock

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Root development

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Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems

Khasawneh, F. A., & Munch, E. (2017) · Advances in delays and dynamics · doi:10.1007/978-3-319-53426-8_7 · Cited by 12

Detecting bifurcations in dynamical systems with CROCKER plots

Güzel, İ., Munch, E., & Khasawneh, F. A. (2022) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/5.0102421 · Cited by 12

Universality of persistence diagrams and the bottleneck and Wasserstein distances

Bubenik, P., & Elchesen, A. (2022) · Computational Geometry · doi:10.1016/j.comgeo.2022.101882 · Cited by 12

Persistent Homology in Image Processing

Edelsbrunner, H. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-38221-5_19 · Cited by 12

A Topological Approach to Representational Data Models

Purvine, E., Aksoy, S. G., Joslyn, C., Nowak, K., Praggastis, B., & Robinson, M. (2018) · Lecture notes in computer science · doi:10.1007/978-3-319-92043-6_8 · Cited by 12

Topological Characterization of Haze Episodes Using Persistent Homology

Zulkepli, N. F. S., Noorani, M. S. M., Razak, F. A., Ismail, M., & Alias, M. A. (2019) · Aerosol and Air Quality Research · doi:10.4209/aaqr.2018.08.0315 · Cited by 12

Persistence B-spline grids: stable vector representation of persistence diagrams based on data fitting

Dong, Z., Lin, H., Zhou, C., Zhang, B., & Li, G. (2024) · Machine Learning · doi:10.1007/s10994-023-06492-w · Cited by 11

Comparison of persistent homologies for vector functions: From continuous to discrete and back

Cavazza, N., Ethier, M., Frosini, P., Kaczyński, T., & Landi, C. (2013) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2013.06.004 · Cited by 11

Stabilizing the unstable output of persistent homology computations

Bendich, P. L., Bubenik, P., & Wagner, A. (2019) · Journal of Applied and Computational Topology · doi:10.1007/s41468-019-00044-9 · Cited by 11

Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment

Stolz, B. J., Dhesi, J., Bull, J. A., Harrington, H. A., Byrne, H. M., & Yoon, I. H. R. (2024) · Bulletin of Mathematical Biology · doi:10.1007/s11538-024-01353-6 · Cited by 10

Computational Approaches and Tools as Applied to the Study of Rhythms and Chaos in Biology

Flesia, A. G., Nieto, P. S., Aon, M. A., & Kembro, J. M. (2022) · Methods in molecular biology · doi:10.1007/978-1-0716-1831-8_13 · Cited by 10

Fréchet Means for Distributions of Persistence diagramsPreprint

Turner, K., Mileyko, Y., Mukherjee, S., & Harer, J. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1206.2790 · Cited by 10

Geometry Helps to Compare Persistence DiagramsPreprint

Kerber, M., Morozov, D., & Nigmetov, A. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1606.03357 · Cited by 10

An algebraic Wasserstein distance for generalized persistence modulesPreprint

Bubenik, P., Scott, J., & Stanley, D. (2018) · arXiv (Cornell University) · Cited by 10

Feature Detection and Hypothesis Testing for Extremely Noisy Nanoparticle Images using Topological Data Analysis

Thomas, A. M., Crozier, P. A., Xu, Y., & Matteson, D. S. (2023) · Technometrics · doi:10.1080/00401706.2023.2203744 · Cited by 9

Acute lymphoblastic leukemia classification using persistent homology

Shah, W. H., Baloch, A., Jaimes-Reátegui, R., Iqbal, S., Fatima, S. R., & Pisarchik, A. N. (2024) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-024-01301-4 · Cited by 9

Persistent Homology: A Topological Tool for Higher-Interaction Systems

Vaccarino, F., Fugacci, U., & Scaramuccia, S. (2022) · Understanding complex systems · doi:10.1007/978-3-030-91374-8_3 · Cited by 9

Metric geometry of spaces of persistence diagrams

Che, M., Galaz‐García, F., Guijarro, L., & Solis, I. M. (2024) · Journal of Applied and Computational Topology · doi:10.1007/s41468-024-00189-2 · Cited by 9

Nonparametric Estimation of Probability Density Functions of Random Persistence DiagramsPreprint

Mike, J. L., & Maroulas, V. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1803.02739 · Cited by 9

Confinement in non-Abelian lattice gauge theory via persistent homology

Spitz, D., Urban, J. M., & Pawlowski, J. M. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.107.034506 · Cited by 16

On the growth of the Floer barcode

Çınelı, E., Ginzburg, V. L., & Gürel, B. Z. (2024) · Journal of Modern Dynamics · doi:10.3934/jmd.2024007 · Cited by 8

Semi-supervised Segmentation of Histopathology Images with Noise-Aware Topological Consistency

Xu, M., Hu, X., Gupta, S., Abousamra, S., & Chen, C. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-73229-4_16 · Cited by 8

Order restricted inference for oscillatory systems for detecting rhythmic signals

Larriba, Y., Rueda, C., Fernández, M. A., & Peddada, S. D. (2016) · Nucleic Acids Research · doi:10.1093/nar/gkw771 · Cited by 8

Persistence barcodes and Laplace eigenfunctions on surfaces

Polterovich, I., Polterovich, L., & Stojisavljević, V. (2018) · Geometriae Dedicata · doi:10.1007/s10711-018-0383-9 · Cited by 8

Exact weights, path metrics, and algebraic Wasserstein distances

Bubenik, P., Scott, J., & Stanley, D. (2022) · Journal of Applied and Computational Topology · doi:10.1007/s41468-022-00103-8 · Cited by 7

Probing universal dynamics with topological data analysis in a gluonic plasma

Spitz, D., Boguslavski, K., & Berges, J. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.108.056016 · Cited by 7

Relation between total variation and persistence distance and its application in signal processing

Plonka, G., & Zheng, Y. (2015) · Advances in Computational Mathematics · doi:10.1007/s10444-015-9438-8 · Cited by 7

A Stable Multi-Scale Kernel for Topological Machine LearningPreprint

Reininghaus, J., Huber, S., Bauer, U., & Kwitt, R. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1412.6821 · Cited by 7

Sparse portfolio selection via topological data analysis based clustering

Goel, A., Filipović, D., & Pasricha, P. (2025) · Quantitative Finance · doi:10.1080/14697688.2025.2544762 · Cited by 6

Vector summaries of persistence diagrams for permutation-based hypothesis testing

Islambekov, U., & Pathirana, H. (2024) · Foundations of Data Science · doi:10.3934/fods.2024002 · Cited by 6

Harmonic Persistent Homology

Basu, S., & Cox, N. (2024) · SIAM Journal on Applied Algebra and Geometry · doi:10.1137/22m1518761 · Cited by 6

Development of the Functional Connectome Topology in Adolescence: Evidence from Topological Data Analysis

Gracia-Tabuenca, Z., Díaz-Patiño, J. C., Arelio, I., Moreno, M. B., Barrios, F. A., & Alcauter, S. (2023) · eNeuro · doi:10.1523/eneuro.0296-21.2022 · Cited by 7

An integrated image visibility graph and topological data analysis for extracting time series features

Singh, M. K., Chaube, S., Pant, S., Singh, S. K., & Kumar, A. (2023) · Decision Analytics Journal · doi:10.1016/j.dajour.2023.100253 · Cited by 6

A topological based feature extraction method for the stock market

Chang, C., & Lin, H. (2023) · Data Science in Finance and Economics · doi:10.3934/dsfe.2023013 · Cited by 6

Stable Length Estimates of Tube-Like Shapes

Edelsbrunner, H., & Pausinger, F. (2013) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-013-0468-x · Cited by 6

Topology, Big Data and Optimization

Vejdemo‐Johansson, M., & Škraba, P. (2016) · Studies in big data · doi:10.1007/978-3-319-30265-2_7 · Cited by 6

Dark soliton detection using persistent homology

Leykam, D., Rondón, I., & Angelakis, D. G. (2022) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/5.0097053 · Cited by 6

Conservation of dynamic characteristics of transcriptional regulatory elements in periodic biological processes

Motta, F. C., Moseley, R. C., Cummins, B., Deckard, A., & Haase, S. B. (2022) · BMC Bioinformatics · doi:10.1186/s12859-022-04627-9 · Cited by 6

Hierarchies and Ranks for Persistence Pairs

Rieck, B., Sadlo, F., & Leitte, H. (2020) · Mathematics and visualization · doi:10.1007/978-3-030-43036-8_1 · Cited by 6

Contributions to Persistence Theory

Du, D. (2014) · Annals of West University of Timisoara - Mathematics and Computer Science · doi:10.2478/awutm-2014-0012 · Cited by 6

Topological Distances between Networks and Its Application to Brain ImagingPreprint

Lee, H., Ma, Z., Wang, Y., & Chung, M. K. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1701.04171 · Cited by 10

Topology-Preserving Image Segmentation with Spatial-Aware Persistent Feature Matching

Wen, B., Zhang, H., Bartsch, D., Freeman, W. R., Nguyen, T. Q., & An, C. (2025) · IEEE International Conference on Computer Vision Workshops · doi:10.1109/iccvw69036.2025.00607 · Cited by 6

Persistent Homology for RNA Data Analysis

Xia, K., Liu, X., & Wee, J. (2023) · Methods in molecular biology · doi:10.1007/978-1-0716-2974-1_12 · Cited by 5

Basic metric geometry of the bottleneck distance

Che, M., Galaz‐García, F., Guijarro, L., Solis, I. M., & Valiunas, M. (2024) · Proceedings of the American Mathematical Society · doi:10.1090/proc/16776 · Cited by 5

Coordinate-free quantification of coverage in dynamic sensor networks

Gamble, J., Chintakunta, H., & Krim, H. (2015) · Signal Processing · doi:10.1016/j.sigpro.2015.02.013 · Cited by 5

Constructing Shape Spaces from a Topological Perspective

for the, A. D. N. I., Hofer, C. D., Kwitt, R., Niethammer, M., Höller, Y., Trinka, E., & Uhl, A. (2017) · Lecture notes in computer science · doi:10.1007/978-3-319-59050-9_9 · Cited by 5

A stable cardinality distance for topological classification

Maroulas, V., Micucci, C. P., & Spannaus, A. (2019) · Advances in Data Analysis and Classification · doi:10.1007/s11634-019-00378-3 · Cited by 5

Persistent homology analysis of brain artery treesPreprint

Bendich, P. L., Marron, J. S., Miller, E., Pieloch, A., & Skwerer, S. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1411.6652 · Cited by 5

The self-similar evolution of stationary point processes via persistent homologyPreprint

Spitz, D., & Wienhard, A. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2012.05751 · Cited by 5

A Probabilistic Result on Impulsive Noise Reduction in Topological Data Analysis through Group Equivariant Non-Expansive Operators

Frosini, P., Gridelli, I., & Pascucci, A. (2023) · Entropy · doi:10.3390/e25081150 · Cited by 4

Stable Comparison of Multidimensional Persistent Homology Groups with Torsion

Frosini, P. (2012) · Acta Applicandae Mathematicae · doi:10.1007/s10440-012-9769-0 · Cited by 4

Hypothesis testing for shapes using vectorized persistence diagrams

Moon, C., & Lazar, N. A. (2023) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.1093/jrsssc/qlad024 · Cited by 6

Functional Data Representation with Merge Trees

Pegoraro, M., & Secchi, P. (2026) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.2026.2654769 · Cited by 4

A Domain-Oblivious Approach for Learning Concise Representations of Filtered Topological Spaces for Clustering

Qin, Y., Fasy, B. T., Wenk, C., & Summa, B. (2021) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2021.3114872 · Cited by 5

Merge Tree Geodesics and Barycenters with Path Mappings

Wetzels, F., Pont, M., Tierny, J., & Garth, C. (2023) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2023.3326601 · Cited by 4

The reflection distance between zigzag persistence modules

Elchesen, A., & Mémoli, F. (2019) · Journal of Applied and Computational Topology · doi:10.1007/s41468-019-00031-0 · Cited by 4

Sketches of a platypus: persistent homology and its algebraic foundationsPreprint

Vejdemo‐Johansson, M. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1212.5398 · Cited by 4

Topological Data Analysis in Text Classification: Extracting Features with Additive InformationPreprint

Gholizadeh, S., Savle, K., Seyeditabari, A., & Zadrozny, W. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2003.13138 · Cited by 4

Euler Characteristic Tools For Topological Data AnalysisPreprint

Hacquard, O., & Lebovici, V. (2023) · arXiv (Cornell University) · doi:10.48550/arxiv.2303.14040 · Cited by 4

Topological Data Analysis in Materials Science: Principles, Machine Learning Integration, and Application Landscapes

Zheng, S., Wang, B., Zhang, M., Tan, J., Lv, H.-B., Liu, R., Shi, Z.-Z., Li, X., Wang, R., Zhang, S. Q., et al. (2026) · Chemical Reviews · doi:10.1021/acs.chemrev.5c01098 · Cited by 4

Wasserstein Distance-Preserving Vector Space of Persistent Homology

Songdechakraiwut, T., Krause, B. M., Banks, M. I., Nourski, K. V., & Veen, B. D. V. (2023) · Lecture notes in computer science · doi:10.1007/978-3-031-43993-3_27 · Cited by 3

Scale Snapshot Topology Distance: Quantifying the Spatial Scale Effect From a Topological Perspective

Zhu, J., Gao, S., Tao, C., Liu, Y., & Li, H. (2025) · Transactions in GIS · doi:10.1111/tgis.70081 · Cited by 3

Persistent Intersection Homology for the Analysis of Discrete Data

Rieck, B., Banagl, M., Sadlo, F., & Leitte, H. (2020) · Mathematics and visualization · doi:10.1007/978-3-030-43036-8_3 · Cited by 3

Persistent Homology as Stopping-Criterion for Voronoi Interpolation

Melodia, L., & Lenz, R. (2020) · Lecture notes in computer science · doi:10.1007/978-3-030-51002-2_3 · Cited by 3

On the persistent homology of almost surely $$C^0$$ stochastic processes

Perez, D. (2023) · Journal of Applied and Computational Topology · doi:10.1007/s41468-023-00132-x · Cited by 3

A gradient sampling algorithm for stratified maps with applications to topological data analysis

Leygonie, J., Carrière, M., Lacombe, T., & Oudot, S. (2023) · Mathematical Programming · doi:10.1007/s10107-023-01931-x · Cited by 7

Topological Forest

Bayır, M. A., Shamsi, K., Kaynak, H., & Akçora, C. G. (2022) · IEEE Access · doi:10.1109/access.2022.3229008 · Cited by 3

Characterizing emerging features in cell dynamics using topological data analysis methods

Dawson, M., Dudley, C., Omoma, S., Tung, H.-R., & Ciocanel, M.-V. (2022) · Mathematical Biosciences & Engineering · doi:10.3934/mbe.2023143 · Cited by 3

Stable Topological Feature Vectors via Hermite Function Expansion on Persistence Curves

Chung, Y.-M. (2022) · IEEE International Conference on Big Data (BigData) · doi:10.1109/bigdata55660.2022.10020423 · Cited by 3

Dialogue Term Extraction using Transfer Learning and Topological Data Analysis

Vukovic, R., Heck, M. C., Ruppik, B., van Niekerk, C., Zibrowius, M., & Gašić, M. (2022) · Annual Meeting of the Special Interest Group on Discourse and Dialogue · doi:10.18653/v1/2022.sigdial-1.53 · Cited by 4

Topological Guided Detection of Extreme Wind Phenomena: Implications for Wind Energy

Qin, Y. C., Johnson, G., & Summa, B. (2023) · doi:10.1109/energyvis60781.2023.00010 · Cited by 3

Probabilistic Gradient-Based Extrema Tracking

Nilsson, E., Lukasczyk, J., Masood, T. B., Garth, C., & Hotz, I. (2023) · Topological Data Analysis and Visualization (TopoInVis) · doi:10.1109/topoinvis60193.2023.00014 · Cited by 3

Parallel Topology-aware Mesh Simplification on Terrain Trees

Song, Y., Fellegara, R., Iuricich, F., & Floriani, L. D. (2024) · ACM Transactions on Spatial Algorithms and Systems · doi:10.1145/3652602 · Cited by 3

Faithful Interpretation of Protein Structures through Weighted Persistent Homology Improves Evolutionary Distance Estimation

Dagher, L. B., Madern, D., Malbos, P., & Brochier‐Armanet, C. (2025) · Molecular Biology and Evolution · doi:10.1093/molbev/msae271 · Cited by 3

Classification of COVID-19 via Homology of CT-SCAN

Iqbal, S., Ahmed, H. M., Qaiser, T., Qureshi, M. I., & Rajpoot, N. (2025) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2025.110226 · Cited by 10

Fast Approximation of Persistence Diagrams with Guarantees

Vidal, J., & Tierny, J. (2021) · IEEE Symposium on Large Data Analysis and Visualization · doi:10.1109/ldav53230.2021.00008 · Cited by 3

A Domain-Oblivious Approach for Learning Concise Representations of Filtered Topological Spaces for Clustering

Qin, Y. C., Fasy, B. T., Wenk, C., & Summa, B. (2021) · Montana State University ScholarWorks (Montana State University) · Cited by 3

Weighted Persistent Homology Sums of Random \v{C}ech ComplexesPreprint

Schweinhart, B. (2018) · arXiv (Cornell University) · Cited by 3

The Persistent Homology of Random Geometric Complexes on Fractals.Preprint

Schweinhart, B. (2018) · arXiv (Cornell University) · Cited by 3

Wasserstein distance for generalized persistence modules and abelian categoriesPreprint

Bubenik, P., Scott, J., & Stanley, D. (2018) · arXiv (Cornell University) · Cited by 3

Classification of COVID-19 via Homology of CT-SCANPreprint

Iqbal, S., Ahmed, H., Qaiser, T., Qureshi, M. I., & Rajpoot, N. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2102.10593 · Cited by 3

Fast Topological Clustering with Wasserstein DistancePreprint

Songdechakraiwut, T., Krause, B. M., Banks, M. I., Nourski, K. V., & Veen, B. D. V. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2112.00101 · Cited by 3

Sparse Portfolio Selection via Topological Data Analysis-Based ClusteringPreprint

Goel, A., Filipović, D., & Pasricha, P. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4711887 · Cited by 3

Grounded Persistent Path Homology: A Stable, Topological Descriptor for Weighted Digraphs

Chaplin, T., Harrington, H. A., & Tillmann, U. (2024) · Foundations of Computational Mathematics · doi:10.1007/s10208-024-09679-2 · Cited by 2

Topological Attention-Based Convolution Neural Networks in Analyzing and Predicting Particulate Matter Pollution Level

Lin, Z., Zulkepli, N. F. S., Kasihmuddin, M. S. M., & Gobithaasan, R. U. (2025) · Aerosol and Air Quality Research · doi:10.1007/s44408-025-00027-9 · Cited by 2

Topological clustering of agents in information contagions: Application to financial markets

Goel, A., Hansen, H., & Kanniainen, J. (2025) · Expert Systems with Applications · doi:10.1016/j.eswa.2025.130789 · Cited by 2

Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems

Spector, R., Harrington, H. A., & Gaffney, E. A. (2025) · Bulletin of Mathematical Biology · doi:10.1007/s11538-025-01552-9 · Cited by 4

Wasserstein Dictionaries of Persistence Diagrams

Sisouk, K., Delon, J., & Tierny, J. (2023) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2023.3330262 · Cited by 2

On the Use of Persistent Homology to Control the Generalization Capacity of a Neural Network

Barbara, A., Bennani, Y., & Karkazan, J. (2023) · Communications in computer and information science · doi:10.1007/978-981-99-8132-8_21 · Cited by 2

Multi-Field Visualisation via Trait-Induced Merge Trees

Jankowai, J., Masood, T. B., & Hotz, I. (2023) · Topological Data Analysis and Visualization (TopoInVis) · doi:10.1109/topoinvis60193.2023.00009 · Cited by 2

A topological approach for capturing high-order interactions in graph data with applications to anomaly detection in time-varying cryptocurrency transaction graphs

Islambekov, U., Pathirana, H., Khormali, O., Akçora, C. G., & Smirnova, E. (2024) · Foundations of Data Science · doi:10.3934/fods.2024024 · Cited by 2

Topological data analysis of the deconfinement transition in SU(3) lattice gauge theory

Spitz, D., Urban, J. M., & Pawlowski, J. M. (2025) · Physical review. D/Physical review. D. · doi:10.1103/k2xs-4y67 · Cited by 2

Persistent Homology Analysis of AI-Generated Fractal Patterns: A Mathematical Framework for Evaluating Geometric Authenticity

Lee, M., & Lee, S. (2024) · Fractal and Fractional · doi:10.3390/fractalfract8120731 · Cited by 2

Analyzing singular patterns in discrete planar vector fields via persistent path homology

Chen, Y., & Lin, H. (2025) · Computers & Graphics · doi:10.1016/j.cag.2025.104354 · Cited by 2

Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit

Kerner, J., Täufer, M., & Yatsyna, P. (2023) · Oberwolfach Reports · doi:10.4171/owr/2022/53 · Cited by 2

Topological and metric properties of spaces of generalized persistence diagrams

Bubenik, P., & Hartsock, I. (2024) · Journal of Applied and Computational Topology · doi:10.1007/s41468-023-00157-2 · Cited by 2

A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams

Kindelan, R., Petrache, M., Cerda, M., & Hitschfeld, N. (2024) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v38i12.29220 · Cited by 2

Intrinsic geometry of collider observations and forman Ricci curvature

Beuria, J. (2023) · Physical Review D · doi:10.1103/physrevd.110.035023 · Cited by 5

A topological approach for human movement classification and anticipation

Bensekka, C. A., Guillet, C., Merienne, F., & Pozzo, T. (2017) · Gait & Posture · doi:10.1016/j.gaitpost.2017.06.387 · Cited by 2

Persistence Concepts for 2D Skeleton Evolution Analysis

Rieck, B., Sadlo, F., & Leitte, H. (2020) · Mathematics and visualization · doi:10.1007/978-3-030-43036-8_9 · Cited by 2

On bi-Lipschitz stability of families of functions

Valette, G. (2012) · Journal of Singularities · doi:10.5427/jsing.2012.6n · Cited by 2

Wasserstein Stability for Persistence DiagramsPreprint

Škraba, P., & Turner, K. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2006.16824 · Cited by 135

Hausdorff Stability of Persistence Spaces

Cerri, A., & Landi, C. (2015) · Foundations of Computational Mathematics · doi:10.1007/s10208-015-9244-1 · Cited by 12

Stability of persistence spaces of vector-valued continuous functionsPreprint

Cerri, A., & Landi, C. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1305.6425 · Cited by 4

STABILITY OF CLASSES OF LIPSCHITZ MAPPINGS

Korobkov, M. V. (2000)