Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition

Density Estimation for Statistics and Data Analysis

Silverman, B. W. (2018) · Routledge eBooks · doi:10.1201/9781315140919 · Cited by 15,938

Nonlinear Dimensionality Reduction by Locally Linear Embedding

Roweis, S. T., & Saul, L. K. (2000) · Science · doi:10.1126/science.290.5500.2323 · Cited by 14,965

A Global Geometric Framework for Nonlinear Dimensionality Reduction

Tenenbaum, J. B., Silva, V. D., & Langford, J. C. (2000) · Science · doi:10.1126/science.290.5500.2319 · Cited by 13,585

Algorithms for Clustering Data

Sarle, W. S., Jain, A. K., & Dubes, R. C. (1990) · Technometrics · doi:10.2307/1268876 · Cited by 7,893

Untitled work

(2001) · Cited by 5,374

Hierarchical Clustering Schemes

Johnson, S. C. (1967) · Psychometrika · doi:10.1007/bf02289588 · Cited by 4,948

The Sorcerer II Global Ocean Sampling Expedition: Northwest Atlantic through Eastern Tropical Pacific

Rusch, D. B., Halpern, A. L., Sutton, G. G., Heidelberg, K. B., Williamson, S. J., Yooseph, S., Wu, D., Eisen, J. A., Hoffman, J., Remington, K., et al. (2007) · PLoS Biology · doi:10.1371/journal.pbio.0050077 · Cited by 2,044

The Sorcerer II Global Ocean Sampling Expedition: Expanding the Universe of Protein Families

Yooseph, S., Sutton, G., Rusch, D. B., Halpern, A. L., Williamson, S. J., Remington, K., Eisen, J. A., Heidelberg, K. B., Manning, G., Li, W., et al. (2007) · PLoS Biology · doi:10.1371/journal.pbio.0050016 · Cited by 925

The topology of multidimensional potential energy surfaces: Theory and application to peptide structure and kinetics

Becker, O. M., & Karplus, M. (1997) · The Journal of Chemical Physics · doi:10.1063/1.473299 · Cited by 808

Diffusion maps and coarse-graining: a unified framework for dimensionality reduction, graph partitioning, and data set parameterization

Lafon, S., & Lee, A. B. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.184 · Cited by 620

Methods and challenges in the analysis of single-cell RNA-sequencing data

Cámara, P. G. (2017) · Current Opinion in Systems Biology · doi:10.1016/j.coisb.2017.12.007 · Cited by 30

Persistent Clustering and a Theorem of J. Kleinberg

Carlsson, G., & Memoli, F. (2008) · arXiv · doi:10.48550/arxiv.0808.2241 · Cited by 28

TopoAct: Visually Exploring the Shape of Activations in Deep Learning

Rathore, A., Chalapathi, N., Palande, S., & Wang, B. (2021) · Computer Graphics Forum · doi:10.1111/cgf.14195 · Cited by 37

Simulation of Fluvial Patterns With GANs Trained on a Data Set of Satellite Imagery

Nesvold, E., & Mukerji, T. (2021) · Water Resources Research · doi:10.1029/2019wr025787 · Cited by 25

Topological analysis and visualisation of network monitoring data: Darknet case study

Coudriau, M., Lahmadi, A., & François, J. (2016) · IEEE International Workshop on Information Forensics and Security · doi:10.1109/wifs.2016.7823920 · Cited by 27

Probabilistic convergence and stability of random mapper graphs

Brown, A., Bobrowski, O., Munch, E., & Wang, B. (2020) · Journal of Applied and Computational Topology · doi:10.1007/s41468-020-00063-x · Cited by 27

The ℓ ∞-Cophenetic Metric for Phylogenetic Trees As an Interleaving Distance

Munch, E., & Stefanou, A. (2019) · Association for Women in Mathematics series · doi:10.1007/978-3-030-11566-1_5 · Cited by 26

On the Stability of Interval Decomposable Persistence Modules

Bjerkevik, H. B. (2021) · Discrete & Computational Geometry · doi:10.1007/s00454-021-00298-0 · Cited by 26

Coexistence holes characterize the assembly and disassembly of multispecies systems

Angulo, M. T., Kelley, A., Montejano, L., Song, C., & Saavedra, S. (2021) · Nature Ecology & Evolution · doi:10.1038/s41559-021-01462-8 · Cited by 24

Theory of interleavings on categories with a flow

de Silva, V., Munch, E., & Stefanou, A. (2018) · Theory and applications of categories · doi:10.70930/tac/22cqkxsw · Cited by 26

A New Approach to Investigate the Association between Brain Functional Connectivity and Disease Characteristics of Attention-Deficit/Hyperactivity Disorder: Topological Neuroimaging Data Analysis

Kyeong, S.-H., Park, S., Cheon, K.-A. A., Kim, J., Song, D., & Kim, E. J. (2015) · PLoS ONE · doi:10.1371/journal.pone.0137296 · Cited by 26

Robust Structure‐Based Shape Correspondence

Kleiman, Y., & Ovsjanikov, M. (2018) · Computer Graphics Forum · doi:10.1111/cgf.13389 · Cited by 25

Mapper Interactive: A Scalable, Extendable, and Interactive Toolbox for the Visual Exploration of High-Dimensional Data

Zhou, Y., Chalapathi, N., Rathore, A., Yaodong, Z., & Wang, B. (2021) · IEEE Pacific Visualization Symposium · doi:10.1109/pacificvis52677.2021.00021 · Cited by 24

Temporal Mapper: Transition networks in simulated and real neural dynamics

Zhang, M., Chowdhury, S., & Saggar, M. (2022) · Network Neuroscience · doi:10.1162/netn_a_00301 · Cited by 22

Exploring and Comparing Clusterings of Multivariate Data Sets Using Persistent Homology

Rieck, B., & Leitte, H. (2016) · Computer Graphics Forum · doi:10.1111/cgf.12884 · Cited by 23

Feasibility of topological data analysis for event-related fMRI

Ellis, C. T., Lesnick, M., Henselman‐Petrusek, G., Keller, B., & Cohen, J. D. (2019) · Network Neuroscience · doi:10.1162/netn_a_00095 · Cited by 23

Minimal Cycle Representatives in Persistent Homology Using Linear Programming: An Empirical Study With User’s Guide

Li, L., Thompson, C., Henselman‐Petrusek, G., Giusti, C., & Ziegelmeier, L. (2021) · Frontiers in Artificial Intelligence · doi:10.3389/frai.2021.681117 · Cited by 22

Geometry-Aware Merge Tree Comparisons for Time-Varying Data With Interleaving Distances

Yan, L., Masood, T. B., Rasheed, F., Hotz, I., & Wang, B. (2022) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2022.3163349 · Cited by 22

Prediction of effective elastic moduli of rocks using Graph Neural Networks

Chung, J., Ahmad, R., Sun, W., Wei Cai, A., & Mukerji, T. (2024) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2024.116780 · Cited by 22

Gait Rhythm Dynamics for Neuro-Degenerative Disease Classification via Persistence Landscape- Based Topological Representation

Yan, Y., Ivanov, K., Omisore, O. M., Igbe, T., Liu, Q., Nie, Z., & Wang, L. (2020) · Sensors · doi:10.3390/s20072006 · Cited by 22

Convergence between Categorical Representations of Reeb Space and MapperPreprint

Munch, E., & Wang, B. (2015) · arXiv (Cornell University) · doi:10.4230/lipics.socg.2016.53 · Cited by 22

On Topological Data Mining

Holzinger, A. (2014) · Lecture notes in computer science · doi:10.1007/978-3-662-43968-5_19 · Cited by 21

Fuzzy Geodesics and Consistent Sparse Correspondences For: eformable Shapes

Sun, J. Z., Chen, X., & Funkhouser, T. A. (2010) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2010.01762.x · Cited by 21

Topological data analysis to model the shape of immune responses during co-infections

Sasaki, K., Bruder, D., & Hernandez-Vargas, E. A. (2020) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2020.105228 · Cited by 21

TDA-Net: Fusion of Persistent Homology and Deep Learning Features for COVID-19 Detection From Chest X-Ray Images

Hajij, M., Zamzmi, G., & Batayneh, F. (2021) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc46164.2021.9629828 · Cited by 21

Understanding Changes in the Topology and Geometry of Financial Market Correlations during a Market Crash

Yen, P. T.-W., Xia, K., & Cheong, S. A. (2021) · Entropy · doi:10.3390/e23091211 · Cited by 22

Gromov–Hausdorff Approximation of Filamentary Structures Using Reeb-Type Graphs

Chazal, F., Huang, R., & Sun, J. Z. (2015) · Discrete & Computational Geometry · doi:10.1007/s00454-015-9674-1 · Cited by 20

Gromov-Hausdorff Approximation of Filament Structure Using Reeb-type Graph

Chazal, F., & Sun, J. Z. (2014) · Annual Symposium on Computational Geometry (SoCG) · doi:10.1145/2582112.2582129 · Cited by 20

Extracting Knowledge from the Geometric Shape of Social Network Data Using Topological Data Analysis

Almgren, K., Kim, M., & Lee, J. (2017) · Entropy · doi:10.3390/e19070360 · Cited by 20

Visualizing Structure and Transitions for Biological Data ExplorationPreprint

Moon, K. R., van Dijk, D., Wang, Z., Burkhardt, D. B., Chen, W. S., Yim, K., van den Elzen, A. M. G., Hirn, M., Coifman, R. R., Ivanova, N. B., et al. (2018) · SSRN Electronic Journal · doi:10.2139/ssrn.3155891 · Cited by 22

Using Topological Data Analysis for diagnosis pulmonary embolismPreprint

Rucco, M., Falsetti, L., Herman, D., Petrossian, T. C., Merelli, E., Nitti, C., & Salvi, A. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1409.5020 · Cited by 24

NeuMapper: A scalable computational framework for multiscale exploration of the brain’s dynamical organization

Geniesse, C., Chowdhury, S., & Saggar, M. (2022) · Network Neuroscience · doi:10.1162/netn_a_00229 · Cited by 17

Topological Data Analysis Helps to Improve Accuracy of Deep Learning Models for Fake News Detection Trained on Very Small Training Sets

Deng, R., & Duzhin, F. (2022) · Big Data and Cognitive Computing · doi:10.3390/bdcc6030074 · Cited by 25

An eQTL biological data visualization challenge and approaches from the visualization community

Bartlett, C. W., Cheong, S. Y., Hou, L., Paquette, J., Lum, P. Y., Jäger, G., Battke, F., Vehlow, C., Heinrich, J., Nieselt, K., et al. (2012) · BMC Bioinformatics · doi:10.1186/1471-2105-13-s8-s8 · Cited by 19

Mining Social Media Data Using Topological Data Analysis

Almgren, K., Kim, M., & Lee, J. (2017) · IEEE International Conference on Information Reuse and Integration (IRI) · doi:10.1109/iri.2017.41 · Cited by 19

Unsupervised space–time clustering using persistent homology

Islambekov, U., & Gel, Y. R. (2018) · Environmetrics · doi:10.1002/env.2539 · Cited by 19

Gene Expression Clustering and Selected Head and Neck Cancer Gene Signatures Highlight Risk Probability Differences in Oral Premalignant Lesions

Carenzo, A., Serafini, M. S., Roca, E., Paderno, A., Mattavelli, D., Romani, C., Saintigny, P., Koljenović, S., Licitra, L. F., Cecco, L. D., et al. (2020) · Cells · doi:10.3390/cells9081828 · Cited by 19

COVID-19 severity is associated with population-level gut microbiome variations

Lymberopoulos, E., Gentili, G. I., Budhdeo, S., & Sharma, N. (2022) · Frontiers in Cellular and Infection Microbiology · doi:10.3389/fcimb.2022.963338 · Cited by 18

Multivariate topology simplification

Chattopadhyay, A., Carr, H. A., Duke, D. J., Geng, Z., & Saeki, O. (2016) · Computational Geometry · doi:10.1016/j.comgeo.2016.05.006 · Cited by 19

Multidimensional Interleavings and Applications to Topological InferencePreprint

Lesnick, M. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1206.1365 · Cited by 19

Time Series Embedding Methods for Classification Tasks: A Review

Irani, H., Ghahremani, Y., Kermani, A., & Metsis, V. (2025) · Expert Systems · doi:10.1111/exsy.70148 · Cited by 26

Topological Data Analysis

Baas, N. A., Carlsson, G., Quick, G., Szymik, M., & Thaule, M. (2020) · Abel symposia · doi:10.1007/978-3-030-43408-3 · Cited by 18

Mapping firms’ locations in technological space: A topological analysis of patent statistics

Escolar, E. G., Hiraoka, Y., Igami, M., & Ozcan, Y. (2023) · Research Policy · doi:10.1016/j.respol.2023.104821 · Cited by 18

Spatial topological analysis of sympathetic neurovascular characteristic of acupoints in Ren meridian using advanced tissue-clearing and near infrared II imaging

Hu, W., Chen, J., Sun, C., Tong, X., Lu, W., Ju, Z., Xia, Y., Pei, Z., Xu, M., Xu, X., et al. (2021) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2021.04.010 · Cited by 18

Point cloud classification with deep normalized Reeb graph convolution

Wang, W., You, Y., Liu, W., & Lu, C. (2020) · Image and Vision Computing · doi:10.1016/j.imavis.2020.104092 · Cited by 17

Harnessing the power of topological data analysis to detect change points

Islambekov, U., Yuvaraj, M., & Gel, Y. R. (2019) · Environmetrics · doi:10.1002/env.2612 · Cited by 17

Quantification of the Immune Content in Neuroblastoma: Deep Learning and Topological Data Analysis in Digital Pathology

Bussola, N., Papa, B., Melaiu, O., Castellano, A., Fruci, D., & Jurman, G. (2021) · International Journal of Molecular Sciences · doi:10.3390/ijms22168804 · Cited by 16

Topological Data Analysis of COVID-19 Using Artificial Intelligence and Machine Learning Techniques in Big Datasets of Hausdorff Spaces

Onyango, A., Okelo, B., & Omollo, R. O. (2023) · Journal of Data Science and Intelligent Systems · doi:10.47852/bonviewjdsis3202701 · Cited by 17

The Geometry of Feature Space in Deep Learning Models: A Holistic Perspective and Comprehensive Review

Lee, M. (2023) · Mathematics · doi:10.3390/math11102375 · Cited by 21

Topological and geometric analysis of cell states in single-cell transcriptomic data

Huynh, T., & Cang, Z. (2024) · Briefings in Bioinformatics · doi:10.1093/bib/bbae176 · Cited by 19

A topological data analysis approach for detecting data poisoning attacks against machine learning based network intrusion detection systems

Monkam, G. F., Lucia, M. J. D., & Bastian, N. D. (2024) · Computers & Security · doi:10.1016/j.cose.2024.103929 · Cited by 17

Topological Data Analysis of Single-Cell Hi-C Contact Maps

Carrière, M., & Rabadán, R. (2020) · Abel symposia · doi:10.1007/978-3-030-43408-3_6 · Cited by 18

Smart Contract Scams Detection with Topological Data Analysis on Account Interaction

Fan, S., Fu, S., Luo, Y., Xu, H., Zhang, X., & Xu, M. (2022) · ACM International Conference on Information and Knowledge Management (CIKM) · doi:10.1145/3511808.3557454 · Cited by 16

A topological approach for cancer subtyping from gene expression data

Rafique, O., & Mir, A. H. (2019) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2019.103357 · Cited by 16

Activation Landscapes as a Topological Summary of Neural Network Performance

Wheeler, M., Bouza, J., & Bubenik, P. (2021) · IEEE International Conference on Big Data (BigData) · doi:10.1109/bigdata52589.2021.9671368 · Cited by 15

Psilocybin enhances insightfulness in meditation: a perspective on the global topology of brain imaging during meditation

Singer, B., Meling, D., Hirsch‐Hoffmann, M., Michels, L., Kometer, M., Smigielski, L., Dornbierer, D., Seifritz, E., Vollenweider, F. X., & Scheidegger, M. (2024) · Scientific Reports · doi:10.1038/s41598-024-55726-x · Cited by 20

The topology and geometry of neural representations

Lin, B., & Kriegeskorte, N. (2024) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2317881121 · Cited by 25

Characterizing Scales of Genetic Recombination and Antibiotic Resistance in Pathogenic Bacteria Using Topological Data Analysis

Emmett, K., & Rabadán, R. (2014) · Lecture notes in computer science · doi:10.1007/978-3-319-09891-3_49 · Cited by 15

Network Analysis of Cardiac Remodeling by Primary Mitral Regurgitation Emphasizes the Role of Diastolic Function

Choi, Y., Park, J., Hwang, D., Kook, W., Kim, Y.-J., Tanaka, H., Hozumi, T., Yuasa, T., Ling, L. H., Yu, C., et al. (2022) · JACC. Cardiovascular imaging · doi:10.1016/j.jcmg.2021.12.014 · Cited by 15

Topic Detection in Twitter Using Topology Data Analysis

Torres-Tramón, P., Hromic, H., & Heravi, B. R. (2015) · Lecture notes in computer science · doi:10.1007/978-3-319-24800-4_16 · Cited by 15

VesselMap: A web interface to explore multivariate vascular data

Tao, J., Huang, X., Qiu, F., Wang, C., Jiang, J., Shene, C.-K., Zhao, Y., & Yu, D. N. (2016) · Computers & Graphics · doi:10.1016/j.cag.2016.05.024 · Cited by 14

Toward automated prediction of manufacturing productivity based on feature selection using topological data analysis

Guo, W., & Banerjee, A. G. (2016) · IEEE International Symposium on Assembly and Manufacturing · doi:10.1109/isam.2016.7750716 · Cited by 14

Appendix

Ellis, G. J. (2019) · doi:10.1093/oso/9780198832973.005.0001 · Cited by 14

Extracting Insights from the Topology of the JavaScript Package Ecosystem

Lertwittayatrai, N., Kula, R. G., Onoue, S., Hata, H., Rungsawang, A., Leelaprute, P., & Matsumoto, K. (2017) · Asia-Pacific Software Engineering Conference (APSEC) · doi:10.1109/apsec.2017.36 · Cited by 13

Fast Computation of Persistent Homology with Data Reduction and Data Partitioning

Malott, N. O., & Wilsey, P. A. (2019) · IEEE International Conference on Big Data (BigData) · doi:10.1109/bigdata47090.2019.9006572 · Cited by 13

Track Iran's national COVID-19 response committee’s major concerns using two-stage unsupervised topic modeling

Kaveh-Yazdy, F., & Zarifzadeh, S. (2020) · International Journal of Medical Informatics · doi:10.1016/j.ijmedinf.2020.104309 · Cited by 15

Sparse Circular Coordinates via Principal $$\mathbb {Z}$$-Bundles

Perea, J. A. (2020) · Abel symposia · doi:10.1007/978-3-030-43408-3_17 · Cited by 13

FPT-Algorithms for Computing Gromov-Hausdorff and Interleaving Distances Between Trees

Touli, E. F., & Wang, Y. (2019) · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) · doi:10.4230/lipics.esa.2019.83 · Cited by 13

Structural Analysis of Multivariate Point Clouds Using Simplicial Chains

Rieck, B., & Leitte, H. (2014) · Computer Graphics Forum · doi:10.1111/cgf.12398 · Cited by 12

Topological data analysis (TDA) applied to reveal pedogenetic principles of European topsoil system

Savic, A. G., Tóth, G., & Duponchel, L. (2017) · The Science of The Total Environment · doi:10.1016/j.scitotenv.2017.02.095 · Cited by 12

Hyppo-X: A Scalable Exploratory Framework for Analyzing Complex Phenomics Data

Kamruzzaman, M., Kalyanaraman, A., Krishnamoorthy, B., Hey, S., & Schnable, P. S. (2019) · IEEE Transactions on Computational Biology and Bioinformatics · doi:10.1109/tcbb.2019.2947500 · Cited by 12

Uncovering Dynamic Brain Reconfiguration in MEG Working Memory n-Back Task Using Topological Data Analysis

Duman, A. N., Tatar, A. E., & Pirim, H. (2019) · Brain Sciences · doi:10.3390/brainsci9060144 · Cited by 12

Robust correlation estimation and UMAP assisted topological analysis of omics data for disease subtyping

Rather, A. A., & Chachoo, M. A. (2023) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2023.106640 · Cited by 17

Topological data analysis reveals a core gene expression backbone that defines form and function across flowering plants

Palande, S., Kaste, J. A. M., Roberts, M. D., Abá, K. S., Claucherty, C., Dacon, J., Doko, R., Jayakody, T. B., Jeffery, H. R., Kelly, N., et al. (2023) · PLoS Biology · doi:10.1371/journal.pbio.3002397 · Cited by 12

Functorial hierarchical clustering with overlaps

Culbertson, J. L., Guralnik, D. P., & Stiller, P. F. (2017) · Discrete Applied Mathematics · doi:10.1016/j.dam.2017.10.015 · 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

Use of Topological Data Analysis in Motor Intention Based Brain-Computer Interfaces

Altindış, F., Yılmaz, B., Borisenok, S., & İçöz, K. (2018) · European Signal Processing Conference (EUSIPCO) · doi:10.23919/eusipco.2018.8553382 · Cited by 12

A Survey on the High Performance Computation of Persistent Homology

Malott, N. O., Chen, S., & Wilsey, P. A. (2022) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2022.3147070 · Cited by 12

A review of geometric, topological and graph theory apparatuses for the modeling and analysis of biomolecular dataPreprint

Xia, K., & Wei, G. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1612.01735 · Cited by 22

Deconstructing the Mapper algorithm to extract richer topological and temporal features from functional neuroimaging data

Haşegan, D., Geniesse, C., Chowdhury, S., & Saggar, M. (2024) · Network Neuroscience · doi:10.1162/netn_a_00403 · Cited by 11

Topological analysis reveals state transitions in human gut and marine bacterial communities

Chang, W. K., VanInsberghe, D., & Kelly, L. (2020) · npj Biofilms and Microbiomes · doi:10.1038/s41522-020-00145-9 · Cited by 11

Quantifying the distribution of feature values over data represented in arbitrary dimensional spaces

Sebastian, E. R., Esparza, J., & de la Prida, L. M. (2024) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1011768 · Cited by 12

$$\mathrm{ND}^2\mathrm{AV}$$ ND 2 AV : N-dimensional data analysis and visualization analysis for the National Ignition Campaign

Bremer, P., Maljovec, D., Saha, A., Wang, B., Gaffney, J., Spears, B. K., & Pascucci, V. (2015) · Computing and Visualization in Science · doi:10.1007/s00791-015-0241-3 · Cited by 11

Euler characteristic curves and profiles: a stable shape invariant for big data problems

Dłotko, P., & Gurnari, D. (2022) · GigaScience · doi:10.1093/gigascience/giad094 · Cited by 19

Extended Topological Persistence and Contact Arrangements in Folded Linear Molecules

Kališnik, S., & Mashaghi, A. (2016) · Frontiers in Applied Mathematics and Statistics · doi:10.3389/fams.2016.00006 · Cited by 11

Interesting Paths in the MapperPreprint

Kalyanaraman, A., Kamruzzaman, M., & Krishnamoorthy, B. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1712.10197 · Cited by 11

A numerical measure of the instability of Mapper-type algorithmsPreprint

Belchí, F., Brodzki, J., Burfitt, M., & Niranjan, M. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1906.01507 · Cited by 11

A Multimodal Data Analysis Approach for Targeted Drug Discovery Involving Topological Data Analysis (TDA)

Alagappan, M., Jiang, D., Denko, N., & Koong, A. C. (2016) · Advances in Experimental Medicine and Biology · doi:10.1007/978-3-319-26666-4_15 · Cited by 10

A practical guide to implementing artificial intelligence in traditional East Asian medicine research

Bae, H., Park, S.-Y., & Kim, C.-E. (2024) · Integrative Medicine Research · doi:10.1016/j.imr.2024.101067 · Cited by 10

Local Equivalence and Intrinsic Metrics between Reeb Graphs

Carrière, M., & Oudot, S. (2017) · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) · doi:10.4230/lipics.socg.2017.25 · Cited by 10

Topology-Aware Single-Image 3D Shape Reconstruction

Chen, Q., Nguyen, V., Han, F. S., Kiveris, R., & Tu, Z. (2020) · IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) · doi:10.1109/cvprw50498.2020.00143 · Cited by 10

When remote sensing meets topological data analysis

Duponchel, L. (2018) · Journal of Spectral Imaging · doi:10.1255/jsi.2018.a1 · Cited by 10

Topology in Biology

Blevins, A. S., & Bassett, D. S. (2020) · Springer eBooks · doi:10.1007/978-3-319-70658-0_87-1 · Cited by 9

Augmenting Molecular Deep Generative Models with Topological Data Analysis Representations

Schiff, Y., Chenthamarakshan, V., Hoffman, S. C., Ramamurthy, K. N., & Das, P. (2022) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp43922.2022.9747088 · Cited by 9

A comprehensive review of the mapper algorithm, a topological data analysis technique, and Its applications across various fields (2007–2025)

Madukpe, V. N., Ugoala, B. C., & Zulkepli, N. F. S. (2025) · International Journal of Data Science and Analytics · doi:10.1007/s41060-025-00971-0 · Cited by 9

Three-dimensional point cloud recognition via distributions of geometric distances

Mahmoudi, M., & Sapiro, G. (2008) · 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops · doi:10.1109/cvprw.2008.4563031 · Cited by 9

On the Topological Data Analysis extensions and comparisons

Noreldeen, A. H., & Mohamed, A. H. N. (2017) · Journal of the Egyptian Mathematical Society · doi:10.1016/j.joems.2017.07.001 · Cited by 9

Spanning Trees as Approximation of Data Structures

Alcaide, D., & Aerts, J. A. (2020) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/tvcg.2020.2995465 · Cited by 9

Topology predicts long-term functional outcome in early psychosis

Fournier, M., Scolamiero, M., Gholam‐Rezaee, M., Cleusix, M., Jenni, R., Ferrari, C., Golay, P., Baumann, P., Cuénod, M., Conus, P., et al. (2020) · Molecular Psychiatry · doi:10.1038/s41380-020-0826-1 · Cited by 9

Topological Deep LearningPreprint

Love, E. R., Filippenko, B., Maroulas, V., & Carlsson, G. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2101.05778 · Cited by 14

[Literature Review] Hypergraphs & Topological Data Analysis for Biomedical Research

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