The variational problem in L-infinity considered is to minimize F(u) = parallel to Du parallel to(L infinity(Omega)) subject to integral(Omega)vertical bar Du vertical bar(2)dx <= E for given E > 0. It is proven that a constrained minimizer exists and satis. es an Aronsson- Euler ...
We prove in this paper the second-order super-convergence in L∞-norm of the gradient for the Shortley–Weller method. Indeed, this method is known to be second-order accurate for the solution itself and for the discrete gradient, although its consistency error near the boundary is only firs...
We prove in this paper the second-order super-convergence in maximum norm of the gradient for the Shortley-Weller method. Indeed, this method is known to be second-order accurate for the solution itself and for the discrete gradient, although its consistency error near the boundary is only fi...
In this paper we examine the problem of minimizing the sup norm of the gradient of a function with prescribed boundary values. Geometrically, this can be interpreted as finding a minimal Lipschitz extension. Due to the weak convexity of the functional associated to this problem, solutions are gen...
my valid_ce decreased from 3.1 -> 3.04 and train_ce from 3.25 -> 3.15 (not what I expected, maybe you had a larger dataset?). The generated wavs sound ok, but lots of audio artifacts. Using a small model and batch size of 16, DAdam optimizer, ema=True and default parameters for ...
Auto-focusing is an essential task for lensfree holographic microscopy, where the optimal focal plane needs to be determined from refocused Z-stack data. In this work, we propose a new auto-focusing criterion, nuclear norm of gradient (NoG), to enhance the accuracy of distance estimation for ...
The gradient of Lp norm, on the other hand, is very well defined. Which means, any other results can not be justified mathematically. Another use case would be: with torch.enable_grad(): a = torch.tensor([ [3., 0., 4.], [-1., -2., -4.], [-5., 0., 0.], ], requires...
We present the calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)(i,j=q,g)$ contributing to the next-to-leading order corrected spin str... R Mertig,WLV Neerven - 《Zeitschrift Für Physik C Particles & Fields》 被引量: 336发表: 1996年 The second eigenvalue ...
dimensions the authors prove the weak estimate of the first type over uniform tetrahedral partitions of the domain, and give the estimate of the discrete derivative Green function, from which the authors can derive maximum-norm superapproach of the gradient for tetrahedral quadratic finite elements. ...
A scalar-valued function on a real or complex vector space satisfying the axioms of a norm, except that the seminorm of a nonzero vector may equal zero. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. ...