Search Results for author: Philipp A. Witte

Found 8 papers, 6 papers with code

Learned multiphysics inversion with differentiable programming and machine learning

1 code implementation12 Apr 2023 Mathias Louboutin, Ziyi Yin, Rafael Orozco, Thomas J. Grady II, Ali Siahkoohi, Gabrio Rizzuti, Philipp A. Witte, Olav Møyner, Gerard J. Gorman, Felix J. Herrmann

We present the Seismic Laboratory for Imaging and Modeling/Monitoring (SLIM) open-source software framework for computational geophysics and, more generally, inverse problems involving the wave-equation (e. g., seismic and medical ultrasound), regularization with learned priors, and learned neural surrogates for multiphase flow simulations.

Geophysics

SciAI4Industry -- Solving PDEs for industry-scale problems with deep learning

no code implementations23 Nov 2022 Philipp A. Witte, Russell J. Hewett, Kumar Saurabh, AmirHossein Sojoodi, Ranveer Chandra

Solving partial differential equations with deep learning makes it possible to reduce simulation times by multiple orders of magnitude and unlock scientific methods that typically rely on large numbers of sequential simulations, such as optimization and uncertainty quantification.

Uncertainty Quantification

Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEs

1 code implementation4 Apr 2022 Thomas J. Grady II, Rishi Khan, Mathias Louboutin, Ziyi Yin, Philipp A. Witte, Ranveer Chandra, Russell J. Hewett, Felix J. Herrmann

Fourier neural operators (FNOs) are a recently introduced neural network architecture for learning solution operators of partial differential equations (PDEs), which have been shown to perform significantly better than comparable deep learning approaches.

Preconditioned training of normalizing flows for variational inference in inverse problems

2 code implementations pproximateinference AABI Symposium 2021 Ali Siahkoohi, Gabrio Rizzuti, Mathias Louboutin, Philipp A. Witte, Felix J. Herrmann

Obtaining samples from the posterior distribution of inverse problems with expensive forward operators is challenging especially when the unknowns involve the strongly heterogeneous Earth.

Variational Inference

Faster Uncertainty Quantification for Inverse Problems with Conditional Normalizing Flows

no code implementations15 Jul 2020 Ali Siahkoohi, Gabrio Rizzuti, Philipp A. Witte, Felix J. Herrmann

In inverse problems, we often have access to data consisting of paired samples $(x, y)\sim p_{X, Y}(x, y)$ where $y$ are partial observations of a physical system, and $x$ represents the unknowns of the problem.

Bayesian Inference Transfer Learning +1

Parameterizing uncertainty by deep invertible networks, an application to reservoir characterization

2 code implementations16 Apr 2020 Gabrio Rizzuti, Ali Siahkoohi, Philipp A. Witte, Felix J. Herrmann

Uncertainty quantification for full-waveform inversion provides a probabilistic characterization of the ill-conditioning of the problem, comprising the sensitivity of the solution with respect to the starting model and data noise.

Uncertainty Quantification

An Event-Driven Approach to Serverless Seismic Imaging in the Cloud

1 code implementation3 Sep 2019 Philipp A. Witte, Mathias Louboutin, Henryk Modzelewski, Charles Jones, James Selvage, Felix J. Herrmann

As an alternative to the generic lift and shift approach, we consider the specific application of seismic imaging and demonstrate a serverless and event-driven approach for running large-scale instances of this problem in the cloud.

Distributed, Parallel, and Cluster Computing Geophysics

Devito: an embedded domain-specific language for finite differences and geophysical exploration

4 code implementations6 Aug 2018 Mathias Louboutin, Michael Lange, Fabio Luporini, Navjot Kukreja, Philipp A. Witte, Felix J. Herrmann, Paulius Velesko, Gerard J. Gorman

We introduce Devito, a new domain-specific language for implementing high-performance finite difference partial differential equation solvers.

Discrete Mathematics Geophysics

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