Results 151 to 160 of about 35,012 (233)

Adaptive regularization and discretization for nonlinear inverse problems with PDEs

, 2014
In this thesis, efficient methods for the solution of inverse problems, combining adaptive regularization and discretization are proposed. For the computation of a Tikhonov regularization parameter, we consider an inexact Newton method based on Morozov's discrepancy principle. In each step, a regularized problem is solved on a different discretization
openaire   +1 more source

Automatic network structure discovery of physics informed neural networks via knowledge distillation. [PDF]

Nat Commun
Liu Z, Liu Y, Yan X, Liu W, Nie H, Guo S, Zhang CA.   +6 more
europepmc   +1 more source

WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks. [PDF]

Sci Rep
Wang X, Yi S, Gu H, Xu J, Xu W.
europepmc   +1 more source

A Hierarchical Bayesian Setting for an Inverse Problem in Linear Parabolic PDEs with Noisy Boundary Conditions

, 2016
Fabrizio Ruggeri, Zaid Sawlan, Marco Scavino, Raúl Tempone   +3 more
openalex   +1 more source

Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks. [PDF]

Proc Natl Acad Sci U S A
Gao ML, Williams JP, Kutz JN.
europepmc   +1 more source

Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]

BIT Numer Math
Hao W, Ju L, Xu Y.
europepmc   +1 more source

A primer on variational inference for physics-informed deep generative modelling. [PDF]

Philos Trans A Math Phys Eng Sci
Glyn-Davies A, Vadeboncoeur A, Akyildiz OD, Kazlauskaite I, Girolami M.   +4 more
europepmc   +1 more source

Smoothness and stability in the Alt-Phillips problem. [PDF]

Math Ann
Carducci M, Tortone G.
europepmc   +1 more source

A penalty method for PDE-constrained optimization in inverse problems

, 2016
Tristan van Leeuwen, Herrmann, Felix J., Mathematical Modeling, Sub Mathematical Modeling   +3 more
openalex   +1 more source

Physics-Informed Neural Networks with Unknown Partial Differential Equations: An Application in Multivariate Time Series. [PDF]

Entropy (Basel)
Mortezanejad SAF, Wang R, Mohammad-Djafari A.   +2 more
europepmc   +1 more source