Results 11 to 20 of about 23,180 (297)
The Euclidean Distance Degree of an Algebraic Variety [PDF]
Foundations of Computational Mathematics, 2015 The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition.
Jan Draisma +4 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Walailak Journal of Science and Technology, 2019 This paper consists of proposal of two constructions of balanced Boolean functions by using powers of primitive elements ...
Dheeraj Kumar Sharma, Rajoo Pandey
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A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
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Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Invariants and separating morphisms for algebraic group actions [PDF]
, 2014 The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients of algebraic groups actions an affine varieties where we take a more geometric point of view.
Kraft, Hanspeter +5 more
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A characterization of the algebraic degree in semidefinite programming [PDF]
, 2023 In this article, we show that the algebraic degree in semidefinite programming can be expressed in terms of the coefficient of a certain monomial in a doubly symmetric polynomial.
Nguyen Thi Mai Van +2 more
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Final algebras, cosemicomputable algebras, and degrees of unsolvability
Theoretical Computer Science, 1987 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lawrence S. Moss +2 more
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Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]
, 2001 We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Rapisarda, P. +9 more
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IEEE Access, 2019 As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen +3 more
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