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Singularity formation in 3D Euler equations with smooth initial data and boundary. [PDF]
Chen J, Hou TY.
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Approximation Characteristics of Weighted Sobolev Spaces on Sphere in Different Settings
Jing Qiu +4 more
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Multiscale study of memory type simple ratio estimators in two stage sampling under exponentially weighted moving averages. [PDF]
Minhas KS, Semary HE, Jabeen R, Zaka A.
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Data-driven head model individualization from digitized electrode positions or photogrammetry improves M/EEG source localization accuracy. [PDF]
Harmening N +2 more
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Stochastic Weighted Matching: (1-ϵ) Approximation
2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS), 2020Let $G=(V, E)$ be a given edge-weighted graph and let its {\em realization} $\mathcal{G}$ be a random subgraph of $G$ that includes each edge $e \in E$ independently with probability $p$. In the {\em stochastic matching} problem, the goal is to pick a sparse subgraph $Q$ of $G$ without knowing the realization $\mathcal{G}$, such that the maximum weight
Behnezhad, Soheil, Derakhshan, Mahsa
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Nonlinear Approximation and Muckenhoupt Weights
Constructive Approximation, 2006In the general atomic setting of an unconditional basis in a (quasi-) Banach space, we show that representing the spaces of m-terms approximation as Lorentz spaces is equivalent to the verification of two inequalities (Jackson and Bernstein), and that the validity of these two properties is equivalent to the Temlyakov property. The proof is very direct
Kerkyacharian, G., Picard, D.
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Weighted polynomial approximation with Freud weights
Constructive Approximation, 1994The authors have shown that if \(w(x)= \exp(-| x|^ \lambda)\) and \(I_ \lambda\) be the support of an external measure associated with it then (i) for \(\lambda= 1\) for every continuous \(f\) that vanishes outside \(I_ \lambda\) there are polynomials \(P_ n\) of degree of most \(n\) such that \(w^ n P_ n\) uniformly tends to \(f\), (ii) for \(0 ...
Lubinsky, Doron S., Totik, Vilmos
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Weighted Polynomial Approximations
2001In this chapter, we establish the existence of weighted polynomial approximations that are a prerequisite to the estimates and asymptotics in subsequent chapters. We search for polynomials P n of degree n such that P n W approximates 1 in some sense on [a −n, a n ].
Eli Levin, Doron S. Lubinsky
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