4 papers
Approximation of starshaped sets using polynomials
Chiara Meroni, Jared Miller, Mauricio Velasco
We introduce polystar bodies: compact starshaped sets whose gauge or radial functions are expressible by polynomials, enabling tractable computations, such as that of intersection…
Sparse Polynomial Matrix Optimization
Jared Miller, Jie Wang, Feng Guo
A polynomial matrix inequality is a formula asserting that a polynomial matrix is positive semidefinite. Polynomial matrix optimization concerns minimizing the smallest eigenvalue…
Maximizing Slice-Volumes of Semialgebraic Sets using Sum-of-Squares Programming
Jared Miller, Chiara Meroni, Matteo Tacchi +1
This paper presents an algorithm to maximize the volume of an affine slice through a given semialgebraic set. This slice-volume task is formulated as an infinite-dimensional linear…
Conjugating Representations in into
Jared T. Miller
The space of representations of a surface group into a given simple Lie group is a very active area of research and is particularly relevant to higher Teichmüller theory. For a clo…