Search Results for author: Michael Joswig

Found 5 papers, 2 papers with code

Algebraic Degrees of 3-Dimensional Polytopes

no code implementations11 Mar 2021 Mara Belotti, Michael Joswig, Marta Panizzut

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

no code implementations29 Sep 2020 Michael Joswig, Marek Kaluba, Lukas Ruff

We propose a new geometric method for measuring the quality of representations obtained from deep learning.

Clustering Disentanglement +1

Master regulators of evolution and the microbiome in higher dimensions

1 code implementation25 Sep 2020 Holger Eble, Michael Joswig, Lisa Lamberti, Will Ludington

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

1 code implementation4 Aug 2017 Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, Michael Joswig

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

no code implementations10 Sep 2015 Michael Joswig, Joe Kileel, Bernd Sturmfels, André Wagner

The multiview variety from computer vision is generalized to images by $n$ cameras of points linked by a distance constraint.

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