Linear optimization on varieties and Chern-Mather classes
DOI10.1016/j.aim.2023.109443arXiv2208.09073OpenAlexW4389256152MaRDI QIDQ6184569
No author found.
Publication date: 25 January 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.09073
Segre classeslocal Euler obstructionpolar degreesChern-Mather classesconormal varietieslinear optimization degree
Nonconvex programming, global optimization (90C26) Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20)
Cites Work
- The algebraic degree of semidefinite programming
- Index formula for MacPherson cycles of affine algebraic varieties
- Characteristic varieties and vanishing cycles
- Variétés polaires locales et classes de Chern des variétés singulieres
- Chern classes for singular algebraic varieties
- Euler characteristics of general linear sections and polynomial Chern classes
- Maximum likelihood degree of variance component models
- Likelihood equations and scattering amplitudes
- Moment maps, strict linear precision, and maximum likelihood degree one
- Wasserstein distance to independence models
- Solving the likelihood equations
- Global Euler obstruction and polar invariants
- The maximum likelihood degree of a very affine variety
- Chapter 5: Dualities
- Likelihood Geometry
- A general formula for the algebraic degree in semidefinite programming
- Projective duality and a Chern-Mather involution
- The Bottleneck Degree of Algebraic Varieties
- Segre Classes and Invariants of Singular Varieties
- Algebraic Degree of Polynomial Optimization
- Euclidean Distance Degree of the Multiview Variety
- The Maximum Likelihood Degree of Mixtures of Independence Models
- The maximum likelihood degree
- The Euclidean distance degree of an algebraic variety
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Linear optimization on varieties and Chern-Mather classes