Algebraic machine learning with an application to chemistry

DOI10.3934/fods.2024004MaRDI QIDQ6620120

Ezzeddine El Sai, Parker Gara, Markus J. Pflaum

Publication date: 16 October 2024

Published in: Foundations of Data Science (Search for Journal in Brave)

zbMATH Keywords

singularitiesvarietiesŁojasiewicz inequalityconformation spacereal algebraic geometrystatistical learningmaximum a posteriori problemcyclooctane

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Statistical aspects of big data and data science (62R07) Computational real algebraic geometry (14Q30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semianalytic and subanalytic sets
• Effective Łojasiewicz inequalities in semialgebraic geometry
• Computation of real radicals of polynomial ideals. II
• HomotopyContinuation.jl: a package for homotopy continuation in Julia
• Learning algebraic varieties from samples
• Computational complexity of learning algebraic varieties
• Real algebraic manifolds
• Lojasiewicz inequalities and applications
• The Wasserstein distance and approximation theorems
• A Singular Introduction to Commutative Algebra
• Topology and data
• A superexponential lower bound for Gröbner bases and Church-Rosser commutative thue systems
• Geometric anomaly detection in data
• Bayesian Reasoning and Machine Learning
• Testing the manifold hypothesis
• Least-squares fitting of circles and ellipses
• Analytic and geometric study of stratified spaces

This page was built for publication: Algebraic machine learning with an application to chemistry