Search Results - "Michałek, Mateusz"

Many Faces of Symmetric Edge Polytopes by D'Alì, Alessio, Delucchi, Emanuele, Michałek, Mateusz

“…Symmetric edge polytopes are a class of lattice polytopes constructed from finite simple graphs. In the present paper we highlight their connections to the…”
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Interlacing Ehrhart polynomials of reflexive polytopes by Higashitani, Akihiro, Kummer, Mario, Michałek, Mateusz

“…It was observed by Bump et al. that Ehrhart polynomials in a special family exhibit properties shared by the Riemann ζ function. The construction was…”
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Non-Normal Very Ample Polytopes - Constructions and Examples by Lasoń, Michał, Michałek, Mateusz

“…We answer several questions posed by Beck, Cox, Delgado, Gubeladze, Haase, Hibi, Higashitani, and Maclagan in [ Cox et al. 14 , Question 3.5 (1),(2), Question…”
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A Short Proof of Combinatorial Nullstellensatz by Michałek, Mateusz

“…In this note we give a short, direct proof of the combinatorial Nullstellensatz…”
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Quantum Version of Wielandt's Inequality Revisited by Michalek, Mateusz, Shitov, Yaroslav

“…Consider a linear space <inline-formula> <tex-math notation="LaTeX">L </tex-math></inline-formula> of complex <inline-formula> <tex-math notation="LaTeX">D…”
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Secants of minuscule and cominuscule minimal orbits by Manivel, Laurent, Michałek, Mateusz

“…We study the geometry of the secant and tangential variety of a cominuscule and minuscule variety, e.g. a Grassmannian or a spinor variety. Using methods…”
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Algebraic compressed sensing by Breiding, Paul, Gesmundo, Fulvio, Michałek, Mateusz, Vannieuwenhoven, Nick

“…We introduce the broad subclass of algebraic compressed sensing problems, where structured signals are modeled either explicitly or implicitly via polynomials…”
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Abelian tensors by Landsberg, J.M., Michałek, Mateusz

“…We analyze tensors in Cm⊗Cm⊗Cm satisfying Strassen's equations for border rank m. Results include: two purely geometric characterizations of the…”
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Gorenstein Matroids by Lasoń, Michał, Michałek, Mateusz

“…Abstract Matroid base polytope and independence polytope are Cohen–Macaulay. There are plenty of examples when they are also Gorenstein. We provide a full…”
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Bounds on complexity of matrix multiplication away from Coppersmith–Winograd tensors by Homs, Roser, Jelisiejew, Joachim, Michałek, Mateusz, Seynnaeve, Tim

“…We present three families of minimal border rank tensors: they come from highest weight vectors, smoothable algebras, and monomial algebras. We analyze them…”
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Uniform matrix product states from an algebraic geometer's point of view by Czapliński, Adam, Michałek, Mateusz, Seynnaeve, Tim

“…We apply methods from algebraic geometry to study uniform matrix product states. Our main results concern the topology of the locus of tensors expressed as…”
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Vanishing Hessian, wild forms and their border VSP by Huang, Hang, Michałek, Mateusz, Ventura, Emanuele

“…Wild forms are homogeneous polynomials whose smoothable rank is strictly larger than their border rank. The discrepancy between these two ranks is caused by…”
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Flexible affine cones and flexible coverings by Michałek, Mateusz, Perepechko, Alexander, Süß, Hendrik

“…We provide a new criterion for flexibility of affine cones over varieties covered by flexible affine varieties. We apply this criterion to prove flexibility of…”
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Khovanskii bases for semimixed systems of polynomial equations – Approximating stationary nonlinear Newtonian dynamics by Borovik, Viktoriia, Breiding, Paul, del Pino, Javier, Michałek, Mateusz, Zilberberg, Oded

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Splitting necklaces and measurable colorings of the real line by ALON, Noga, GRYTCZUK, Jaroslaw, LASON, Michal, MICHALEK, Mateusz, HAGLUND, Jim

“…A (continuous) \emph {necklace} is simply an interval of the real line colored measurably with some number of colors. A well-known application of the…”
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Constructive degree bounds for group-based models by Michałek, Mateusz

“…Group-based models arise in algebraic statistics while studying evolution processes. They are represented by embedded toric algebraic varieties. Both from the…”
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On the toric ideal of a matroid by Lasoń, Michał, Michałek, Mateusz

“…Describing minimal generating set of a toric ideal is a well-studied and difficult problem. In 1980 White conjectured that the toric ideal associated to a…”
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Exponential varieties by Michałek, Mateusz, Sturmfels, Bernd, Uhler, Caroline, Zwiernik, Piotr

“…Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar…”
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Spaces of sums of powers and real rank boundaries by Michałek, Mateusz, Moon, Hyunsuk

“…We investigate properties of Waring decompositions of real homogeneous forms. We study the moduli of real decompositions, so-called Space of Sums of Powers,…”
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Ideals of spaces of degenerate matrices by Vill, Julian, Michałek, Mateusz, Taveira Blomenhofer, Alexander

“…The variety Singn,m consists of all tuples X=(X1,…,Xm) of n×n matrices such that every linear combination of X1,…,Xm is singular. Equivalently, X∈Singn,m if…”
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