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giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration

arXiv 2004.02551 ↗First posted 6 Apr 2020cs.LG math.AT stat.MLcited by 55

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Abstract (arXiv)

We introduce giotto-tda, a Python library that integrates high-performance topological data analysis with machine learning via a scikit-learn-compatible API and state-of-the-art C++ implementations. The library's ability to handle various types of data is rooted in a wide range of preprocessing techniques, and its strong focus on data exploration and interpretability is aided by an intuitive plotting API. Source code, binaries, examples, and documentation can be found at https://github.com/giotto-ai/giotto-tda.

Key facts. Cited by 55 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Apr 2020.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 9; 2022: 11; 2023: 10; 2024: 12; 2025: 6; 2026: 7.

55 papers.

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  1. 2024Position: Topological Deep Learning is the New Frontier for Relational Learningcited by 65
  2. 2022Machine Learning for Microcontroller-Class Hardware: A Reviewcited by 28
  3. 2024TopoBench: A Framework for Benchmarking Topological Deep Learningcited by 24
  4. 2021Persformer: A Transformer Architecture for Topological Machine Learningcited by 19
  5. 2021Activation Landscapes as a Topological Summary of Neural Network Performancecited by 17
  6. 2022Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data -- An Algorithm and A Benchmarkcited by 11
  7. 2022Topological Singularity Detection at Multiple Scalescited by 11
  8. 2022The Topological BERT: Transforming Attention into Topology for Natural Language Processingcited by 10
  9. 2025Topological Signatures vs. Gradient Histograms: A Comparative Study for Medical Image Classificationcited by 10
  10. 2022Predicting the generalization gap in neural networks using topological data analysiscited by 9
  11. 2023Topological Pooling on Graphscited by 9
  12. 2024What makes math problems hard for reinforcement learning: a case studycited by 9
38 more
  1. 2021Characterizing and Measuring the Similarity of Neural Networks with Persistent Homologycited by 8
  2. 2022Approximating Persistent Homology for Large Datasetscited by 8
  3. 2024On the Limitations of Fractal Dimension as a Measure of Generalizationcited by 5
  4. 2026Four-Stage Alzheimer's Disease Classification from MRI Using Topological Feature Extraction, Feature Selection, and Ensemble Learningcited by 5
  5. 2024MOUNTAINEER: Topology-Driven Visual Analytics for Comparing Local Explanationscited by 4
  6. 2022Classification of Stochastic Processes with Topological Data Analysiscited by 3
  7. 2023Landslide Topology Uncovers Failure Movementscited by 3
  8. 2024AuToMATo: An Out-Of-The-Box Persistence-Based Clustering Algorithmcited by 3
  9. 2025Time-Series Forecasting via Topological Information Supervised Framework with Efficient Topological Feature Learningcited by 3
  10. 2021Topological Information Retrieval with Dilation-Invariant Bottleneck Comparative Measurescited by 2
  11. 2021A Domain-Oblivious Approach for Learning Concise Representations of Filtered Topological Spaces for Clusteringcited by 2
  12. 2021The Impact of Changes in Resolution on the Persistent Homology of Imagescited by 2
  13. 2022Topological EEG Nonlinear Dynamics Analysis for Emotion Recognitioncited by 2
  14. 2023G-Mapper: Learning a Cover in the Mapper Constructioncited by 2
  15. 2023Image Classification using Combination of Topological Features and Neural Networkscited by 2
  16. 2024Topology-Preserving Downsampling of Binary Imagescited by 2
  17. 2025TACO-Net: Topological Signatures Triumph in 3D Object Classificationcited by 2
  18. 2021Homological Time Series Analysis of Sensor Signals from Power Plantscited by 1
  19. 2021Quantitative analysis of phase transitions in two-dimensional XY models using persistent homologycited by 1
  20. 2023Topological Parallax: A Geometric Specification for Deep Perception Modelscited by 1
  21. 2023Visualizing Topological Importance: A Class-Driven Approachcited by 1
  22. 2023A Topological Machine Learning Pipeline for Classificationcited by 1
  23. 2023Topological Data Analysis in smart manufacturing: State of the art and futuredirectionscited by 1
  24. 2024Train-Free Segmentation in MRI with Cubical Persistent Homologycited by 1
  25. 2025CuMPerLay: Learning Cubical Multiparameter Persistence Vectorizationscited by 1
  26. 2025The Shape of Data: Topology Meets Analytics. A Practical Introduction to Topological Analytics and the Stability Index (TSI) in Businesscited by 1
  27. 2026Topological descriptors of foot clearance gait dynamics improve differential diagnosis of Parkinsonismcited by 1
  28. 2021Topological Data Analysis (TDA) Techniques Enhance Hand Pose Classification from ECoG Neural Recordingscited by 0
  29. 2022Topology-Driven Generative Completion of Lacunae in Molecular Datacited by 0
  30. 2022Convolutional Persistence Transformscited by 0
  31. 2022Multistep Multiappliance Load Predictioncited by 0
  32. 2023Invariant Representations of Embedded Simplicial Complexescited by 0
  33. 2023Machine learning and Topological data analysis identify unique features of human papillae in 3D scanscited by 0
  34. 2024On the Shape of Brainscores for Large Language Models (LLMs)cited by 0
  35. 2024Topological quantification of ambiguity in semantic searchcited by 0
  36. 2024Bi-Filtration and Stability of TDA Mapper for Point Cloud Datacited by 0
  37. 2024Vectorization of Persistence Diagrams for Topological Data Analysis in R and Python Using TDAvec Packagecited by 0
  38. 2025Torsion in Persistent Homology and Neural Networkscited by 0

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