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Found 5 papers, 2 papers with code
Algebraic Degrees of 3-Dimensional Polytopes
Results of Koebe (1936), Schramm (1992), and Springborn (2005) yield realizations of $3$-polytopes with edges tangent to the unit sphere.
Combinatorics Algebraic Geometry 52B10 (Primary) 14P10 (Secondary)
Geometric Disentanglement by Random Convex Polytopes
We propose a new geometric method for measuring the quality of representations obtained from deep learning.
Master regulators of evolution and the microbiome in higher dimensions
A longstanding goal of biology is to identify the key genes and species that critically impact evolution, ecology, and health.
Log-barrier interior point methods are not strongly polynomial
We prove that primal-dual log-barrier interior point methods are not strongly polynomial, by constructing a family of linear programs with $3r+1$ inequalities in dimension $2r$ for which the number of iterations performed is in $\Omega(2^r)$.
Optimization and Control Combinatorics 90C51, 14T05
Rigid Multiview Varieties
The multiview variety from computer vision is generalized to images by $n$ cameras of points linked by a distance constraint.
