Topological methods in machine learning: A tutorial for practitioners

B Coskunuzer, CG Akçora - arxiv preprint arxiv:2409.02901, 2024‏ - arxiv.org
Topological Machine Learning (TML) is an emerging field that leverages techniques from
algebraic topology to analyze complex data structures in ways that traditional machine …

[ספר][B] Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

JL Mari, F Hétroy-Wheeler, G Subsol - 2019‏ - books.google.com
Three-dimensional surface meshes are the most common discrete representation of the
exterior of a virtual shape. Extracting relevant geometric or topological features from them …

[PDF][PDF] Conformal electromagnetic wave propagation using primal mimetic finite elements

T Reum - 2022‏ - db-thueringen.de
Electromagnetic wave propagation provides the physical basis for countless applications in
various subjects of today's world. In order to model spatial scenarios, the continuous space …

Computational Homology Applied to Discrete Objects

A Gonzalez-Lorenzo - 2016‏ - hal.science
Homology theory formalizes the concept of hole in a space. For a given subset of the
Euclidean space, we define a sequence of homology groups, whose ranks are considered …

[PDF][PDF] ECOLE DOCTORALE MATHEMATIQUES ET INFORMATIQUE

AG LORENZO - 2016‏ - theses.fr
Understanding an object can be addressed by determining its volume, its convexity, its
curvature, its medial axis or any other geometric descriptor. A higher level analysis can be …