Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Jochen Denzler"'
Publikováno v:
Frontiers in Neuroscience, Vol 16 (2022)
Deep Convolutional Neural Networks (DCNNs) were originally inspired by principles of biological vision, have evolved into best current computational models of object recognition, and consequently indicate strong architectural and functional paralleli
Externí odkaz:
https://doaj.org/article/bedc4862ed8c41c8a6b7b0da74666909
Publikováno v:
Frontiers in Neuroscience, Vol 15 (2021)
Deep convolutional neural networks (DCNNs) and the ventral visual pathway share vast architectural and functional similarities in visual challenges such as object recognition. Recent insights have demonstrated that both hierarchical cascades can be c
Externí odkaz:
https://doaj.org/article/811cfbd92efe4d249f6754ad46635135
Publikováno v:
Contemporary Mathematics. :85-94
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e426a4e8bbfabd4544f5bb568d695d8b
https://doi.org/10.1090/conm/656/13078
https://doi.org/10.1090/conm/656/13078
This paper quantifies the speed of convergence and higher-order asymptotics of fast diffusion dynamics on $\mathbf{R}^n$ to the Barenblatt (self similar) solution. Degeneracies in the parabolicity of this equation are cured by re-expressing the dynam
Publikováno v:
Memoirs of the American Mathematical Society. 234
Introduction Overview of obstructions and strategies, and notation The nonlinear and linear equations in cigar coordinates The cigar as a Riemannian manifold Uniform manifolds and Holder spaces Schauder estimates for the heat equation Quantitative gl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2875bb23aa89bcd748159ddaa0790fc9
https://doi.org/10.1090/memo/1101
https://doi.org/10.1090/memo/1101
Autor:
Jochen Denzler, Almut Burchard
Publikováno v:
SIAM Journal on Mathematical Analysis. 37:1800-1827
For the Laplace operator with mixed (Dirichlet and Neumann) boundary conditions, the dependence of the principal eigenvalue on the placement of the Dirichlet part is investigated. An optimal window is a Dirichlet part of the boundary that minimizes t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9e63863455306a354299d299965c31d
https://doi.org/10.1137/s0036141004444184
https://doi.org/10.1137/s0036141004444184
Autor:
Jochen Denzler, Robert J. McCann
Publikováno v:
Archive for Rational Mechanics and Analysis. 175:301-342
The complete spectrum is determined for the operator Open image in new window on the Sobolev space W1,2ρ(Rn) formed by closing the smooth functions of compact support with respect to the norm Open image in new window Here the Barenblatt profile ρ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3514a3c5ac3bc43c53782c135d9acae4
https://doi.org/10.1007/s00205-004-0336-3
https://doi.org/10.1007/s00205-004-0336-3
Autor:
Jochen Denzler
Publikováno v:
Mathematical Inequalities & Applications. :337-354
We prove that 1 0 |yy| 1 4 1 0 y 2 provided 1 0 y = 0 . The nontrivial part is the sharp constant 1 . Cases of equality can be abstracted from the proof. This is an (apparently much deeper) variant of a result by Opial, who proved the same estimate u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::717f8b9f04804b16326049488ecc512a
https://doi.org/10.7153/mia-07-36
https://doi.org/10.7153/mia-07-36
Autor:
Jochen Denzler
Publikováno v:
Transactions of the American Mathematical Society. 351:569-580
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2523926aa71dc490c2a5c0432381d4f7
https://doi.org/10.1090/s0002-9947-99-02207-2
https://doi.org/10.1090/s0002-9947-99-02207-2
Autor:
Jochen Denzler
Publikováno v:
Journal of Mathematical Analysis and Applications. 217(2):405-422
We consider the lowest eigenvalue for the Laplacian in a given Lipschitz domain under mixed boundary conditions: Dirichlet in a subset of the boundary (noninsulated window), Neumann otherwise. This eigenvalue can be interpreted as heat leakage rate d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e101c222e258b1e47181d949e352d3a