The multidimensional truncated moment problem: Gaussian mixture reconstruction from derivatives of moments

DOI10.1016/j.jmaa.2022.126592OpenAlexW4290830074MaRDI QIDQ2674329

Philipp J. di Dio

Publication date: 23 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126592

zbMATH Keywords

Gaussian mixturegeneralized eigenvaluesCarathéodory numberalgebraic statisticstruncated moment problem

Mathematics Subject Classification ID

Moment problems (44A60) Mathematical programming (90Cxx) Numerical linear algebra (65Fxx)

Uses Software

• Mathematica

Cites Work

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• The inverse moment problem for convex polytopes
• On the numerical condition of a generalized Hankel eigenvalue problem
• Positivity of Riesz functionals and solutions of quadratic and quartic moment problems
• On moments of a polytope
• Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions
• The multidimensional truncated moment problem: Carathéodory numbers
• Real even symmetric ternary forms
• The multidimensional truncated moment problem: Carathéodory numbers from Hilbert functions
• A moment approach for entropy solutions to nonlinear hyperbolic PDEs
• Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors
• Applications of geometric moment theory related to optimal portfolio management
• Finding all vertices of a convex polyhedron
• The multidimensional truncated moment problem: the moment cone
• An Introduction to Polynomial and Semi-Algebraic Optimization
• Convex Computation of the Region of Attraction of Polynomial Control Systems
• Moment Varieties of Gaussian Mixtures
• Parameterfreie Abschätzung und Realisierung von Erwartungswerten
• Moments of non-negative mass
• Distributions and Operators
• An Algorithm for Finding All Vertices of Convex Polyhedral Sets
• A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets
• Sums of even powers of real linear forms
• A Stable Numerical Method for Inverting Shape from Moments
• The Moment Problem
• Moment varieties of measures on polytopes
• Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
• The multidimensional truncated moment problem: Gaussian and log-normal mixtures, their Carathéodory numbers, and set of atoms
• The General Moment Problem, A Geometric Approach
• Quelques classes de problèmes extrémaux. II
• The measure of the critical values of differentiable maps

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