scholarly journals Maximum Likelihood Estimation of Symmetric Group-Based Models via Numerical Algebraic Geometry

2018 ◽  
Vol 81 (2) ◽  
pp. 337-360 ◽  
Author(s):  
Dimitra Kosta ◽  
Kaie Kubjas
Keyword(s):  
Algebraic Geometry ◽  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Symmetric Group ◽  
Likelihood Estimation ◽  
Numerical Algebraic Geometry

scholarly journals Maximum Likelihood for Matrices with Rank Constraints

2014 ◽  
Vol 5 (1) ◽  
Author(s):  
Jonathan Hauenstein
Keyword(s):  
Algebraic Geometry ◽  
Maximum Likelihood ◽  
Optimization Problem ◽  
Likelihood Estimation ◽  
Numerical Algebraic Geometry ◽  
Likelihood Functions ◽  
Determinantal Varieties ◽  
Discrete Random Variables ◽  
Rank Constraints ◽  
Bounded Rank

Maximum likelihood estimation is a fundamental optimization problem in statistics. Westudy this problem on manifolds of matrices with bounded rank. These represent mixtures of distributionsof two independent discrete random variables. We determine the maximum likelihood degree for a rangeof determinantal varieties, and we apply numerical algebraic geometry to compute all critical points oftheir likelihood functions. This led to the discovery of maximum likelihood duality between matrices ofcomplementary ranks, a result proved subsequently by Draisma and Rodriguez.

Improved Multichannel InSAR Height Reconstruction Method Based on Maximum Likelihood Estimation

2014 ◽  
Vol 35 (9) ◽  
pp. 2161-2167
Author(s):  
Zhi-hui Yuan ◽  
Yun-kai Deng ◽  
Fei Li ◽  
Yu Wang ◽  
Gang Liu
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Estimation ◽  
Reconstruction Method
Sign in / Sign up

Export Citation Format

Share Document