Zobrazeno 1 - 10
of 21 152
pro vyhledávání: '"A, Guth"'
Autor:
Guth, Philipp A., Kaarnioja, Vesa
There has been a surge of interest in uncertainty quantification for parametric partial differential equations (PDEs) with Gevrey regular inputs. The Gevrey class contains functions that are infinitely smooth with a growth condition on the higher-ord
Externí odkaz:
http://arxiv.org/abs/2411.03793
Autor:
Thiry, Louis, Guth, Florentin
Image classification and denoising suffer from complementary issues of lack of robustness or partially ignoring conditioning information. We argue that they can be alleviated by unifying both tasks through a model of the joint probability of (noisy)
Externí odkaz:
http://arxiv.org/abs/2410.03505
Autor:
Guth, Florentin, Ménard, Brice
We explore the universality of neural encodings in convolutional neural networks trained on image classification tasks. We develop a procedure to directly compare the learned weights rather than their representations. It is based on a factorization o
Externí odkaz:
http://arxiv.org/abs/2409.19460
A control in feedback form is derived for linear quadratic, time-invariant optimal control problems subject to parabolic partial differential equations with coefficients depending on a countably infinite number of uncertain parameters. It is shown th
Externí odkaz:
http://arxiv.org/abs/2409.15537
Autor:
Guth, Larry, Maynard, James
We prove new bounds for how often Dirichlet polynomials can take large values. This gives improved estimates for a Dirichlet polynomial of length $N$ taking values of size close to $N^{3/4}$, which is the critical situation for several estimates in a
Externí odkaz:
http://arxiv.org/abs/2405.20552
Autor:
Guth, Gary, Kang, Sungkyung
We prove that the Lipshitz-Ozsv\'ath-Thurston correspondence between extended type D structures of knot complements and $\mathbb{F}[U, V]/(UV)$ knot Floer complexes can be arranged so that $\iota_K$-invariant splittings of knot Floer chain complexes
Externí odkaz:
http://arxiv.org/abs/2404.06618
We identify a new way to divide the $\delta$-neighborhood of surfaces $\mathcal{M}\subset\mathbb{R}^3$ into a finitely-overlapping collection of rectangular boxes $S$. We obtain a sharp $(l^2,L^p)$ decoupling estimate using this decomposition, for th
Externí odkaz:
http://arxiv.org/abs/2403.18431
Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obtained by considering the minimization of an energy-like functional dep
Externí odkaz:
http://arxiv.org/abs/2402.00526
The matrix $p \rightarrow q$ norm is a fundamental quantity appearing in a variety of areas of mathematics. This quantity is known to be efficiently computable in only a few special cases. The best known algorithms for approximately computing this qu
Externí odkaz:
http://arxiv.org/abs/2311.07677
Conjecturally, a knot is slice if and only if its positive Whitehead double is slice. We consider an analogue of this conjecture for slice disks in the four-ball: two slice disks of a knot are smoothly isotopic if and only if their positive Whitehead
Externí odkaz:
http://arxiv.org/abs/2310.19713