A Morse theoretic approach to non-isolated singularities and applications to optimization

DOI10.1016/j.jpaa.2021.106865zbMath1475.13054arXiv2002.00406OpenAlexW3198034776MaRDI QIDQ2229979

Botong Wang, Jose Israel Rodriguez, Laurenţiu Maxim

Publication date: 17 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00406

zbMATH Keywords

Euler characteristicobjective functionoptimal solutionsingular varietiesstationary pointsperverse sheavesconstructible complexesEuclidean distance degreecharacteristic cycleslocal Euler obstruction functionconic Lagrangian cyclesnearby and vanishing cycle functors

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Characteristic classes and numbers in differential topology (57R20) Analytic subsets of affine space (32B15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (3)

Constructible Sheaf Complexes in Complex Geometry and Applications ⋮ Euclidean distance degree and limit points in a Morsification ⋮ Algebraic structures in statistical methodology. Abstracts from the workshop held December 4--10, 2022

Cites Work

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