Results 91 to 100 of about 12,308 (240)
Inhomogeneous polynomial optimization over a convex set:an approximation approach [PDF]
Li, Zhening, He, Simai, Zhang, Shuzhong
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1.1 Bivariate Symmetric Polynomial
In this short paper we introduce a bivariate symmetric polynomial-based password authentication and key establishment (exchange). We use the advantage of that such polynomial of degree t is secure for up to t + 1 and provably secure for the 2-parties ...
Abedelaziz Mohaisen
core
A categorification of the chromatic symmetric polynomial
International audienceThe Stanley chromatic polynomial of a graph $G$ is a symmetric function generalization of the chromatic polynomial, and has interesting combinatorial properties.
Radmila Sazdanović +3 more
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A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies
Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer +7 more
wiley +1 more source
Schematic of the CO adsorption process in a fixed‐bed column containing pure NaY zeolite and Nb‐modified NaY (NaY–5%Nb). On the left, breakthrough curves and temperature profiles highlight the dynamic performance and thermal effects during CO adsorption.
Elson Oliveira +3 more
wiley +1 more source
In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R +7 more
core
Expressing a polynomial as the characteristic polynomial of a symmetric matrix
We show that given a polynomial, one can (without knowing the roots) construct a symmetric matrix whose characteristics polynomial is the given polynomial appropriately normed.
Fiedler, Miroslav
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Approximation methods for complex polynomial optimization [PDF]
Li, Zhening, Jiang, Bo, Zhang, Shuzhong
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source

