Results 11 to 20 of about 185,457 (163)

Sum-of-squares geometry processing [PDF]

open access: yesACM Transactions on Graphics, 2021
Geometry processing presents a variety of difficult numerical problems, each seeming to require its own tailored solution. This breadth is largely due to the expansive list of geometric primitives , e.g., splines, triangles, and hexahedra, joined with an ever-expanding variety of objectives ...
Marschner, Zoë   +3 more
openaire   +2 more sources

Multiple Imputation to Balance Unbalanced Designs for Two-Way Analysis of Variance

open access: yesMethodology, 2021
A balanced ANOVA design provides an unambiguous interpretation of the F-tests, and has more power than an unbalanced design. In earlier literature, multiple imputation was proposed to create balance in unbalanced designs, as an alternative to Type-III ...
Joost R. van Ginkel   +1 more
doaj   +1 more source

A Convex Data-Driven Approach for Nonlinear Control Synthesis

open access: yesMathematics, 2021
We consider a class of nonlinear control synthesis problems where the underlying mathematical models are not explicitly known. We propose a data-driven approach to stabilize the systems when only sample trajectories of the dynamics are accessible.
Hyungjin Choi   +2 more
doaj   +1 more source

Application of Sum-of-Squares Method in Estimation of Region of Attraction for Nonlinear Polynomial Systems

open access: yesIEEE Access, 2020
We present a sum of squares (SOS) method for the synthesis of nonlinear polynomial control systems. As an emerging numerical solution method in recent years, SOS targets polynomials as the research object.
Fanwei Meng   +4 more
doaj   +1 more source

Minimum Residual Sum of Squares Estimation Method for High-Dimensional Partial Correlation Coefficient

open access: yesMathematics, 2023
The partial correlation coefficient (Pcor) is a vital statistical tool employed across various scientific domains to decipher intricate relationships and reveal inherent mechanisms.
Jingying Yang, Guishu Bai, Mei Yan
doaj   +1 more source

Further research results on confusion coefficient of Boolean functions

open access: yesJournal of Mathematical Cryptology, 2023
The notion of confusion coefficient (CC) is a property that attempts to characterize the confusion property of cryptographic algorithms against differential power analysis.
Liu Zhenyu, Zhuo Zepeng
doaj   +1 more source

Univariate rational sums of squares

open access: yesRevista de la Unión Matemática Argentina, 2022
Dados los polinomios racionales univariados f y g tales que gcd(f, g) y f / gcd(f, g) son relativamente primos, mostramos que g es no negativo en todas las raíces reales de f si y solo si g es una suma de cuadrados de polinomios racionales módulo f. Completamos nuestro estudio exhibiendo un algoritmo que produce un certificado de que un polinomio g es ...
Teresa Krick   +2 more
openaire   +4 more sources

Much Ado About Nothing: Multiple Imputation to Balance Unbalanced Designs for Two-Way Analysis of Variance

open access: yesMethodology, 2020
In earlier literature, multiple imputation was proposed to create balance in unbalanced designs, as an alternative to Type III sum of squares in two-way ANOVA.
Joost R. van Ginkel   +1 more
doaj   +1 more source

Pell’s equation, sum-of-squares and equilibrium measures on a compact set

open access: yesComptes Rendus. Mathématique, 2023
We first interpret Pell’s equation satisfied by Chebyshev polynomials for each degree $t$, as a certain Positivstellensatz, which then yields for each integer $t$, what we call a generalized Pell’s equation, satisfied by reciprocals of Christoffel ...
Lasserre, Jean B.
doaj   +1 more source

On the confusion coefficient of Boolean functions

open access: yesJournal of Mathematical Cryptology, 2021
The notion of the confusion coefficient is a property that attempts to characterize confusion property of cryptographic algorithms against differential power analysis. In this article, we establish a relationship between the confusion coefficient and the
Zhou Yu   +4 more
doaj   +1 more source

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