Joost A. A. Opschoor

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All published works

Action	Title	Year	Authors
+ PDF Chat	First Order System Least Squares Neural Networks	2024	Joost A. A. Opschoor Philipp Petersen Christoph Schwab
+ PDF Chat	Exponential expressivity of ${\rm ReLU}^k$ neural networks on Gevrey classes with point singularities	2024	Joost A. A. Opschoor Christoph Schwab
+	Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	2024	Joost A. A. Opschoor Christoph Schwab
+ PDF Chat	Exponential Expressivity of ReLU$^k$ Neural Networks on Gevrey Classes with Point Singularities	2024	Joost A. A. Opschoor Christoph Schwab
+	Neural Networks for Singular Perturbations	2024	Joost A. A. Opschoor Christoph Schwab Christos Xenophontos
+	De Rham compatible Deep Neural Network FEM	2023	Marcello Longo Joost A. A. Opschoor Nico Disch Christoph Schwab Jakob Zech
+	Deep ReLU networks and high-order finite element methods II: Chebyshev emulation	2023	Joost A. A. Opschoor Christoph Schwab
+ PDF Chat	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	2022	Carlo Marcati Joost A. A. Opschoor Philipp Petersen Christoph Schwab
+	De Rham compatible Deep Neural Network FEM	2022	Marcello Longo Joost A. A. Opschoor Nico Disch Christoph Schwab Jakob Zech
+	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	2020	Carlo Marcati Joost A. A. Opschoor Philipp Petersen Christoph Schwab

Common Coauthors

Coauthor	Papers Together
Christoph Schwab	10
Philipp Petersen	3
Nico Disch	2
Jakob Zech	2
Carlo Marcati	2
Marcello Longo	2
Christos Xenophontos	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Error bounds for approximations with deep ReLU networks	2017	Dmitry Yarotsky	3
+ PDF Chat	Optimal approximation of piecewise smooth functions using deep ReLU neural networks	2018	Philipp Petersen Felix Voigtlaender	3
+ PDF Chat	The Deep Ritz Method: A Deep Learning-Based Numerical Algorithm for Solving Variational Problems	2018	E Weinan Bing Yu	2
+ PDF Chat	ReLU Deep Neural Networks and Linear Finite Elements	2020	Juncai He Lin Li Lin Li Jinchao Xu Chunyue Zheng	2
+ PDF Chat	DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing	2021	Dennis Elbrächter Philipp Grohs Arnulf Jentzen Christoph Schwab	2
+ PDF Chat	Error bounds for approximations with deep ReLU neural networks in Ws,p norms	2019	Ingo Gühring Gitta Kutyniok Philipp Petersen	2
+ PDF Chat	Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions	1989	Paolo Marcellini	1
+ PDF Chat	ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA	2012	Martin Costabel Monique Dauge Serge Nicaise	1
+ PDF Chat	Asymptotic regularity of solutions to Hartree–Fock equations with Coulomb potential	2008	Heinz‐Jürgen Flad Reinhold Schneider Bert‐Wolfgang Schulze	1
+ PDF Chat	Exponential convergence of<i>hp</i>quadrature for integral operators with Gevrey kernels	2010	Alexey Chernov Tobias von Petersdorff Christoph Schwab	1
+ PDF Chat	Is Gauss Quadrature Better than Clenshaw–Curtis?	2008	Lloyd N. Trefethen	1
+	On the Markov inequality in LP-spaces	1990	Pierre Goetgheluck	1
+	On some generalizations of a theorem of A. Markoff	1937	Einar Hille Gábor Szegő J. D. Tamarkin	1
+	Regularite gevrey pour le probleme de dirichlet dans des domaines a singularites coniques	1985	Pierre Bolley Monique Dauge Jacques Camus Camus Goulaouic	1
+	Exponential convergence for hp-version and spectral finite element methods for elliptic problems in polyhedra	2015	Dominik Schötzau Christoph Schwab	1
+	The Chebyshev polynomials	1974	T. J. Rivlin	1
+	On the degree of nonlinear spline approximation in Besov-Sobolev spaces	1990	Peter Oswald	1
+	Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order	1988	Ivo Babuška Binghui Guo	1
+	Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces	2005	Benqi Guo Christoph Schwab	1
+	Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ<sup>3</sup>. Part II: Regularity in neighbourhoods of edges	1997	Benqi Guo Ivo Babuška	1
+	Regularity and Numerical Solution of Eigenvalue Problems with Piecewise Analytic Data	1989	Ivo Babuška Binghui Guo John E. Osborn	1
+ PDF Chat	Deep vs. shallow networks: An approximation theory perspective	2016	H. N. Mhaskar Tomaso Poggio	1
+	Approximation Theory and Approximation Practice	2013	Lloyd N. Trefethen	1
+	QTT-finite-element approximation for multiscale problems I: model problems in one dimension	2016	Vladimir Kazeev Ivan Oseledets Maxim Rakhuba Christoph Schwab	1
+	On the decay rate of Chebyshev coefficients	2016	Hassan Majidian	1
+	Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in $n$ variabili	1957	Emilio Gagliardo	1
+	Hidden physics models: Machine learning of nonlinear partial differential equations	2017	Maziar Raissi George Em Karniadakis	1
+	DGM: A deep learning algorithm for solving partial differential equations	2018	Justin Sirignano Konstantinos Spiliopoulos	1
+	Optimal approximation of continuous functions by very deep ReLU networks	2018	Dmitry Yarotsky	1
+	Adaptivity of deep ReLU network for learning in Besov and mixed smooth Besov spaces: optimal rate and curse of dimensionality	2018	Taiji Suzuki	1
+ PDF Chat	Exponential convergence in $$H^1$$ of hp-FEM for Gevrey regularity with isotropic singularities	2019	Michael Feischl Ch. Schwab	1
+	Adaptive activation functions accelerate convergence in deep and physics-informed neural networks	2019	Ameya D. Jagtap Kenji Kawaguchi George Em Karniadakis	1
+	The phase diagram of approximation rates for deep neural networks	2019	Dmitry Yarotsky Anton Zhevnerchuk	1
+ PDF Chat	Finite element quasi-interpolation and best approximation	2016	Alexandre Ern Jean‐Luc Guermond	1
+ PDF Chat	A Framework for the Construction of Upper Bounds on the Number of Affine Linear Regions of ReLU Feed-Forward Neural Networks	2019	Peter Hinz Sara van de Geer	1
+	Solving many-electron Schrödinger equation using deep neural networks	2019	Jiequn Han Linfeng Zhang E Weinan	1
+ PDF Chat	Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis	2019	Annalisa Buffa Jürgen Dölz Stefan Kurz Sebastian Schöps Rafael Vázquez Felix Wolf	1
+ PDF Chat	Analyticity and hp discontinuous Galerkin approximation of nonlinear Schr\"odinger eigenproblems	2021	Yvon Maday Carlo Marcati	1
+	Deep Network Approximation for Smooth Functions	2020	Jianfeng Lu Zuowei Shen Haizhao Yang Zhang Shi-jun	1
+	B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data	2020	Liu Yang Xuhui Meng George Em Karniadakis	1
+ PDF Chat	DeepXDE: A Deep Learning Library for Solving Differential Equations	2021	Lu Lu Xuhui Meng Zhiping Mao George Em Karniadakis	1
+ PDF Chat	PFNN: A penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries	2020	Hailong Sheng Chao Yang	1
+ PDF Chat	<i>Ab initio</i> solution of the many-electron Schrödinger equation with deep neural networks	2020	David Pfau James S. Spencer Alexander Matthews W. M. C. Foulkes	1
+ PDF Chat	Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons	2020	Carlo Marcati Christoph Schwab	1
+	Error estimates of residual minimization using neural networks for linear PDEs	2020	Yeonjong Shin Zhongqiang Zhang George Em Karniadakis	1
+	Weighted analyticity of Hartree-Fock eigenfunctions	2020	Yvon Maday Carlo Marcati	1
+ PDF Chat	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	2022	Carlo Marcati Joost A. A. Opschoor Philipp Petersen Christoph Schwab	1
+ PDF Chat	Neural network approximation: Three hidden layers are enough	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun	1
+ PDF Chat	Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials	2019	Yvon Maday Carlo Marcati	1
+ PDF Chat	Deep-neural-network solution of the electronic Schrödinger equation	2020	Jan Hermann Zeno Schätzle Frank Noé	1