专题：Topological and Geometric Data Analysis

This cluster of papers focuses on the application of topological data analysis in various scientific and engineering domains. It covers topics such as persistent homology, shape analysis, statistical topology, machine learning, and spatial data.
最新文献
Role extraction by matrix equations and generalized random walks

article Full Text OpenAlex

Topological reconstruction of sampled surfaces via Morse theory

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Algebraic complexity and neurovariety of linear convolutional networks

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The Domains of Admissible Parameters of Box-quasimetrics for Canonical Heisenberg Groups and their Generalizations

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Graph Labeling For Topological Data Analysis In Machine Learning

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Analysis Method for Turing Patterns and Biological Skin Patterns Using Persistent Homology

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Boundary Classes of Non-Compact Riemannian Manifolds and Perron’s Method

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String topology on the space of paths with endpoints in a submanifold

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Locality in Gramian Observation for Complex Networked Systems

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Pathological computations of Mackey functor‐valued Tor over cyclic groups

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近5年高被引文献
Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

preprint Full Text OpenAlex 457 FWCI0

Multi-Scale attributed node embedding

article Full Text OpenAlex 379 FWCI33.139

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists

review Full Text OpenAlex 356 FWCI7.116

On the singularities of a Riemannian manifold

article Full Text OpenAlex 296 FWCI20.1

Cup and Massey products on the cohomology of compact almost complex manifolds

preprint Full Text OpenAlex 250 FWCI0

Harmonic analysis on the Heisenberg group

book-chapter Full Text OpenAlex 247 FWCI0

Neural population geometry: An approach for understanding biological and artificial neural networks

review Full Text OpenAlex 214 FWCI6.926

Dynamic Snake Convolution based on Topological Geometric Constraints for Tubular Structure Segmentation

article Full Text OpenAlex 214 FWCI55.795

Parametric UMAP Embeddings for Representation and Semisupervised Learning

article Full Text OpenAlex 184 FWCI12.136

Non-invertible higher-categorical symmetries

article Full Text OpenAlex 176 FWCI104.439