Search Results - 68Q25: Analysis of algorithms and problem complexity*

NP-hardness of deciding convexity of quartic polynomials and related problems by Ahmadi, Amir Ali, Olshevsky, Alex, Parrilo, Pablo A., Tsitsiklis, John N.

“…) is globally convex. This solves a problem that has been open since 1992 when N. Z. Shor asked for the complexity of deciding convexity for quartic polynomials…”
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(Re)packing Equal Disks into Rectangle by Fomin, Fedor V., Golovach, Petr A., Inamdar, Tanmay, Saurabh, Saket, Zehavi, Meirav

“…The problem of packing of equal disks (or circles) into a rectangle is a fundamental geometric problem…”
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Worst-case complexity of an SQP method for nonlinear equality constrained stochastic optimization by Curtis, Frank E., O’Neill, Michael J., Robinson, Daniel P.

“…) algorithm that has been designed for solving optimization problems involving a stochastic objective function and deterministic nonlinear equality constraints…”
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Complexity of a projected Newton-CG method for optimization with bounds by Xie, Yue, Wright, Stephen J.

“…This paper describes a method for solving smooth nonconvex minimization problems subject to bound constraints with good worst-case complexity guarantees and practical performance…”
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A Lower Bound on the Complexity of Testing Grained Distributions by Goldreich, Oded, Ron, Dana

“…For a natural number m , a distribution is called m -grained, if each element appears with probability that is an integer multiple of 1 / m . We prove that,…”
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A Complexity Trichotomy for k-Regular Asymmetric Spin Systems Using Number Theory by Cai, Jin-Yi, Fu, Zhiguo, Girstmair, Kurt, Kowalczyk, Michael

“… cannot be both rational multiples of π. We use this number theoretic result to prove a classification of the computational complexity of spin systems on k -regular graphs with general…”
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HODLR3D: hierarchical matrices for N-body problems in three dimensions by A, Kandappan V., Gujjula, Vaishnavi, Ambikasaran, Sivaram

“…This article introduces HODLR3D, a class of hierarchical matrices arising out of N -body problems in three dimensions…”
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Diverse collections in matroids and graphs by Fomin, Fedor V., Golovach, Petr A., Panolan, Fahad, Philip, Geevarghese, Saurabh, Saket

“…We investigate the parameterized complexity of finding diverse sets of solutions to three fundamental combinatorial problems…”
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On a Hierarchy of Spectral Isomorphism Invariants by Arvind, V., Fuhlbrück, Frank, Köbler, Johannes, Verbitsky, Oleg

“… with the 2-dimensional Weisfeiler-Leman algorithm, extending the recent work of Rattan and Seppelt (SODA 2023). As another application of the characterization, we prove that almost…”
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A cost-scaling algorithm for computing the degree of determinants by Hirai, Hiroshi, Ikeda, Motoki

“… for t . This problem generalizes noncommutative Edmonds' problem and fundamental combinatorial optimization problems including the weighted linear matroid intersection problem…”
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Absolute reconstruction for sums of powers of linear forms: degree 3 and beyond by Koiran, Pascal, Saha, Subhayan

“… We give a randomised algorithm for the following problem: If a homogeneous polynomial f ∈ K [ x 1 , . . . , x n ] (where K ⊆ C…”
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The Power of Natural Properties as Oracles by Impagliazzo, Russell, Kabanets, Valentine, Volkovich, Ilya

“…) or its special case, the Minimal Circuit Size Problem (MCSP). We show that in a number of complexity-theoretic results that use the SAT oracle, one can use the MCSP oracle instead…”
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Subquadratic-Time Algorithms for Normal Bases by Giesbrecht, Mark, Jamshidpey, Armin, Schost, Éric

“… forms an F-basis of K. Such an α is called a normal element , and G · α is a normal basis . We introduce a probabilistic algorithm for testing whether a given…”
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A deterministic algorithm for the discrete logarithm problem in a semigroup by Tinani, Simran, Rosenthal, Joachim

“… The best general algorithms which solve this problem have a time complexity of and a space complexity of , where is the order of the group…”
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Zeros and approximations of Holant polynomials on the complex plane by Casel, Katrin, Fischbeck, Philipp, Friedrich, Tobias, Göbel, Andreas, Lagodzinski, J. A. Gregor

“… small external field) and approximation algorithms for general Holant problems with small signature weights…”
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On semiring complexity of Schur polynomials by Fomin, Sergey, Grigoriev, Dima, Nogneng, Dorian, Schost, Éric

“…Semiring complexity is the version of arithmetic circuit complexity that allows only two operations…”
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Rigid continuation paths II. structured polynomial systems by Bürgisser, Peter, Cucker, Felipe, Lairez, Pierre

“…This work studies the average complexity of solving structured polynomial systems that are characterised by a low evaluation cost, as opposed to the dense random model previously used…”
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Complexity of first-order inexact Lagrangian and penalty methods for conic convex programming by Necoara, I., Patrascu, A., Glineur, F.

“…In this paper we present a complete iteration complexity analysis of inexact first-order Lagrangian and penalty methods for solving cone-constrained convex problems that have or…”
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A single cut proximal bundle method for stochastic convex composite optimization by Liang, Jiaming, Guigues, Vincent, Monteiro, Renato D. C.

“…) methods for solving it. Complexity guarantees are established for them without requiring knowledge of parameters associated with the problem instance…”
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Lower Bounds and PIT for Non-commutative Arithmetic Circuits with Restricted Parse Trees by Lagarde, Guillaume, Limaye, Nutan, Srinivasan, Srikanth

“… . [Electronic Colloquium on Comput Complexity (ECCC) vol 23, no 94, 2016 ], who prove such a result…”
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