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Recent years have witnessed a substantial increase in the use of methods from algebraic and combinatorial topology in research within sciences and engineering, including in data analysis, visualization, image processing, robotics, and more broadly in theoretical computer science, biology, medicine, and social sciences. Frequently, structural topological insights are needed in the discovery and analysis of fundamental mechanisms in applications. The investigation of large data sets often requires development of new algorithms, which in turn depend on mathematical insights.
Persistent HomologyTopological DataData AnalysisHomotopy TypeTopological ComplexityDiscrete Morse TheoryAlgebraic TopologyMetric SpacesTopological FeaturesMetric SpaceConfiguration SpaceInternational PublishingTopological SpacesTopologyEuclidean SpaceDistributed ComputingHAUSDORFF DistanceMatrix ReductionMachine LearningTopological Invariant
vol.10 (2026)
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vol.7 (2023)
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vol.5 (2021)
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vol.2 (2018)
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vol.1 (2017)