Defect of Euclidean distance degree

DOI10.1016/j.aam.2020.102101zbMath1457.13053arXiv1905.06758OpenAlexW3076035289WikidataQ114214523 ScholiaQ114214523MaRDI QIDQ2221769

Jose Israel Rodriguez, Botong Wang, Laurenţiu Maxim

Publication date: 2 February 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06758

zbMATH Keywords

Euler characteristicvanishing cycleMilnor fiberEuclidean distance degreelocal Euler obstruction function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Characteristic classes and numbers in differential topology (57R20) Deformations of complex singularities; vanishing cycles (32S30) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (3)

Constructible Sheaf Complexes in Complex Geometry and Applications ⋮ NOTES ON VANISHING CYCLES AND APPLICATIONS ⋮ A Morse theoretic approach to non-isolated singularities and applications to optimization

Uses Software

• Macaulay2
• Bertini
• Bertini.m2
• LearningAlgebraicVarieties

Cites Work

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• Algebraic systems biology: a case study for the Wnt pathway
• Hirzebruch-Milnor classes of complete intersections
• Critical points via monodromy and local methods
• The algebraic degree of semidefinite programming
• Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
• Characteristic varieties and vanishing cycles
• Chern classes for singular algebraic varieties
• Sheaves in topology
• The Euclidean distance degree of smooth complex projective varieties
• Learning algebraic varieties from samples
• Numerically computing real points on algebraic sets
• Characteristic cycles for the loop Grassmannian and nilpotent orbits.
• Offset hypersurfaces and persistent homology of algebraic varieties
• Complexity of model testing for dynamical systems with toric steady states
• Congruences and concurrent lines in multi-view geometry
• The data singular and the data isotropic loci for affine cones
• Likelihood Geometry
• The Chern-Mather class of the multiview variety
• Notes on Topological Stability
• Semidefinite Optimization and Convex Algebraic Geometry
• Intersection Homology & Perverse Sheaves
• Euclidean Distance Degree of the Multiview Variety
• Exact Solutions in Structured Low-Rank Approximation
• The Maximum Likelihood Degree of Mixtures of Independence Models
• A comprehensive analysis of the geometry of TDOA maps in localization problems
• Singular Points of Complex Hypersurfaces. (AM-61)
• The Euclidean distance degree of an algebraic variety

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