Results 61 to 70 of about 1,163,681 (226)
, 2012 We show that when projecting an edge-transitive N-dimensional polytope onto anM-dimensional subspace of R^N, the sums of the squares of the original and projected edges are in the ratio N ...
Fang, Fang +3 more
core
Nonlinear analysis of vehicle control actuations based on controlled invariant sets
International Journal of Applied Mathematics and Computer Science, 2016 In the paper, an analysis method is applied to the lateral stabilization problem of vehicle systems. The aim is to find the largest state-space region in which the lateral stability of the vehicle can be guaranteed by the peak-bounded control input.
Németh Balázs +2 more
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Multiple Imputations, tool for the estimation of missing data in regression modeling
Temas Agrarios, 2019 In recent years there has been an increase in research on missing data problems, with multiple imputation being a fundamental alternative; where data sets often present complexities that are currently difficult to manage appropriately in the probability ...
Luis Miguel Mejía-Giraldo +1 more
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The Power of Sum-of-Squares for Detecting Hidden Structures [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2017 We study planted problems—finding hidden structures in random noisy inputs—through the lens of the sum-of-squares semidefinite programming hierarchy (SoS).
Samuel B. Hopkins +5 more
semanticscholar +1 more source
Polynomial-time Tensor Decompositions with Sum-of-Squares
, 2016 We give new algorithms based on the sum-of-squares method for tensor decomposition. Our results improve the best known running times from quasi-polynomial to polynomial for several problems, including decomposing random overcomplete 3-tensors and ...
Ma, Tengyu +2 more
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Axioms, 2023 This paper proposes a novel approach for analyzing the stability of polynomial fractional-order systems using the frequency-distributed fractional integrator model.
Hassan Yaghoubi +3 more
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Pacific Journal of Mathematics, 1985 This paper asks some easily understood matrix questions and gives answers which are equally simple. Indeed, the proofs are also at a level which are within reach of any competent undergraduate. Yet this does not detract from the interest of the paper and also does not mean that some ingenuity was required in finding the proofs.
openaire +2 more sources
Sums of squares II: Matrix functions
Linear Algebra and its Applications, 2023 31 pages, typos corrected, clarification added, the statement of Theorem 12 and the proof of Lemma 33 corrected, and a missing Lemma 34 added.
Lyudmila Korobenko, Eric Sawyer
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Positive Semi-Definite and Sum of Squares Biquadratic Polynomials
MathematicsHilbert proved in 1888 that a positive semi-definite (PSD) homogeneous quartic polynomial of three variables always can be expressed as the sum of squares (SOS) of three quadratic polynomials, and a psd homogeneous quartic polynomial of four variables ...
Chunfeng Cui, Liqun Qi, Yi Xu
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Lifting sum-of-squares lower bounds: degree-2 to degree-4 [PDF]
Symposium on the Theory of Computing, 2019 The degree-4 Sum-of-Squares (SoS) SDP relaxation is a powerful algorithm that captures the best known polynomial time algorithms for a broad range of problems including MaxCut, Sparsest Cut, all MaxCSPs and tensor PCA. Despite being an explicit algorithm
Sidhanth Mohanty +2 more
semanticscholar +1 more source