awesome-tda
github.com/fatemehtarashi/awesome-tda ↗A curated list of topological data analysis (TDA) resources and links.
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Installation instructions →What's inside
Theory
- AATRN YouTube ChannelTutorials and Learning Resources
Recorded talks and seminars on applied algebraic topology and TDA.
- A Fuzzy Clustering Algorithm for the Mode Seeking FrameworkArticles
Bonis, Oudot.
- An introduction to Topological Data Analysis: fundamental and practical aspects for data scientistsArticles
Chazal, Michel.
- Applied Algebraic Topology SeminarsCourses
- A Short Course in Computational Geometry and TopologyBooks
Herbert Edelsbrunner.
- A topological data analysis based classification method for multiple measurementsArticles
Riihimäki, Chachólski, Theorell, Hillert, Ramanujam.
Useful Links
- A concrete application of Topological Data AnalysisTheory and Applications of TDA
- A Guide to Data Science from mathematicsTheory and Applications of TDA
- A Mathematician's Perspective on Topological Data Analysis and RUse R
- An Algebraic Geometry Perspective on Topological Data AnalysisTheory and Applications of TDA
- An algebraic topological method for multimodal brain networks comparisonsBrain Network Analysis
- A roadmap for the computation of persistent homologyPersistent Homology
Event
- Applied Algebraic Topology Research Network Calendar
Community announcements for applied topology, TDA, workshops, schools, and related opportunities.
- Aug. 22 - Aug. 27 | Interactions of Topological Data Analysis and Combinatorial Topological Dynamics | BIRS, Banff, Canada2027
Aug. 27 | Interactions of Topological Data Analysis and Combinatorial Topological Dynamics | BIRS, Banff, Canada
- Aug. 25 - Aug. 29 | Workshop on Topological Data Analysis | Canada2025
Aug. 29 | Workshop on Topological Data Analysis | Canada
- Conferences and workshops
Curated list of TDA, applied topology, and computational topology events.
- Feb. 12 - Feb. 13 | Topological Data Analysis and Representation Theory 2026 | Tohoku University, Japan / Hybrid2026
Feb. 13 | Topological Data Analysis and Representation Theory 2026 | Tohoku University, Japan / Hybrid
- Feb. 20 - Feb. 28 | OneMath World School: Topological Data Analysis and Applications | Chennai Mathematical Institute, India2026
Feb. 28 | OneMath World School: Topological Data Analysis and Applications | Chennai Mathematical Institute, India
Frameworks and Libs
- Clique TopMatlab
Topological analysis of symmetric matrices.
- CtlC++
C++11 library for building neighborhood graphs and cellular complexes, computing persistent homology over finite fields, and running parallel algorithms for homology. Can be used with C++, Python, MATLAB, and R.
- Cubical RipserC++
Software for computing persistent homology of cubical complexes, especially useful for image and volume data.
- DionysusC++
Computing persistent (co)homology, including persistent cohomology, vineyards, and zigzag persistent homology algorithms.
- DIPHAC++
Distributed persistent homology computation with MPI support.
- Eirene.jlJulia
For homological persistence.
Tools
- Hera
Software for bottleneck and Wasserstein distances between persistence diagrams.
- HomCloud
Persistent homology software with a Python interface, used especially for scientific and materials-data analysis.
- RIVET
Visualization and analysis of two-parameter persistent homology with a
- TdaToolbox
Tools that may be applied to data science in general.
Showing a sample of 170 resources. View the full list on GitHub →