Jakob Zech

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 21

Top Topics

Finite Element Methods

Emission Tomography

Kullback Leibler

Top Venues

SIAM/ASA J. Uncertain. Quantification

SIAM J. Numer. Anal.

Adv. Comput. Math.

Publications

Philipp Petersen, Jakob Zech
Mathematical theory of deep learning. CoRR (2024)
Lukas Herrmann, Christoph Schwab, Jakob Zech
Neural and spectral operator surrogates: unified construction and expression rate bounds. Adv. Comput. Math. 50 (4) (2024)
Simon Weissmann, Jakob Zech
On the mean-field limit for Stein variational gradient descent: stability and multilevel approximation. CoRR (2024)
Youssef M. Marzouk, Zhi Ren, Sven Wang, Jakob Zech
Distribution learning via neural differential equations: a nonparametric statistical perspective. CoRR (2023)
Marcello Longo, Joost A. A. Opschoor, Nico Disch, Christoph Schwab, Jakob Zech
De Rham compatible Deep Neural Network FEM. Neural Networks 165 (2023)
Christoph Schwab, Andreas Stein, Jakob Zech
Deep Operator Network Approximation Rates for Lipschitz Operators. CoRR (2023)
Josephine Westermann, Jakob Zech
Measure transport via polynomial density surrogates. CoRR (2023)
Björn Sprungk, Simon Weissmann, Jakob Zech
Metropolis-adjusted interacting particle sampling. CoRR (2023)
Christoph Schwab, Jakob Zech
Deep Learning in High Dimension: Neural Network Expression Rates for Analytic Functions in \(\pmb{L^2(\mathbb{R}^d,\gamma_d)}\). SIAM/ASA J. Uncertain. Quantification 11 (1) (2023)
Marcello Longo, Joost A. A. Opschoor, Nico Disch, Christoph Schwab, Jakob Zech
De Rham compatible Deep Neural Networks. CoRR (2022)
Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab, Jakob Zech
Multilevel Domain Uncertainty Quantification in Computational Electromagnetics. CoRR (2022)
Simon Weissmann, Ashia Wilson, Jakob Zech
Multilevel Optimization for Inverse Problems. CoRR (2022)
Simon Weissmann, Ashia Wilson, Jakob Zech
Multilevel Optimization for Inverse Problems. COLT (2022)
Lukas Herrmann, Christoph Schwab, Jakob Zech
Neural and gpc operator surrogates: construction and expression rate bounds. CoRR (2022)
Dinh Dung, Van Kien Nguyen, Christoph Schwab, Jakob Zech
Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs. CoRR (2022)
Jakob Zech, Youssef M. Marzouk
Sparse approximation of triangular transports. Part II: the infinite dimensional case. CoRR (2021)
Christoph Schwab, Jakob Zech
). CoRR (2021)
Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab, Jakob Zech
Domain Uncertainty Quantification in Computational Electromagnetics. SIAM/ASA J. Uncertain. Quantification 8 (1) (2020)
Jakob Zech, Youssef M. Marzouk
Sparse approximation of triangular transports on bounded domains. CoRR (2020)
Lukas Herrmann, Christoph Schwab, Jakob Zech
Uncertainty Quantification for Spectral Fractional Diffusion: Sparsity Analysis of Parametric Solutions. SIAM/ASA J. Uncertain. Quantification 7 (3) (2019)
Albert Cohen, Christoph Schwab, Jakob Zech
Shape Holomorphy of the Stationary Navier-Stokes Equations. SIAM J. Math. Anal. 50 (2) (2018)
Stefan A. Sauter, Jakob Zech
A Posteriori Error Estimation of hp-dG Finite Element Methods for Highly Indefinite Helmholtz Problems. SIAM J. Numer. Anal. 53 (5) (2015)