Beyond linear algebra
From MaRDI portal
Publication:6198647
DOI10.4171/icm2022/64arXiv2108.09494OpenAlexW4389774866MaRDI QIDQ6198647
Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09494
Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Other special methods applied to PDEs (35A25) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Algebraic statistics (62R01) Computational real algebraic geometry (14Q30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- HomotopyContinuation.jl: a package for homotopy continuation in Julia
- Real solving for positive dimensional systems.
- Dimensional estimates and rectifiability for measures satisfying linear PDE constraints
- Primary ideals and their differential equations
- Likelihood equations and scattering amplitudes
- Discrete statistical models with rational maximum likelihood estimator
- Wasserstein distance to independence models
- Scattering equations: from projective spaces to tropical Grassmannians
- Solving the likelihood equations
- Estimating linear covariance models with numerical nonlinear algebra
- Varieties with maximum likelihood degree one
- The maximum likelihood degree of a very affine variety
- Likelihood Geometry
- Algebraic Statistics
- Semidefinite Optimization and Convex Algebraic Geometry
- Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models
- On the Macaulay inverse system and its importance for the theory of linear differential equations with constant coefficients
- Exact Solutions in Structured Low-Rank Approximation
- The maximum likelihood degree
- Maximum Likelihood Degree, Complete Quadrics, and $\mathbb{C}^*$-Action
- The Euclidean distance degree of an algebraic variety