Search Results for author: Mathias Louboutin

Found 21 papers, 13 papers with code

ASPIRE: Iterative Amortized Posterior Inference for Bayesian Inverse Problems

no code implementations8 May 2024 Rafael Orozco, Ali Siahkoohi, Mathias Louboutin, Felix J. Herrmann

The benefits of our method requires extra computations but these remain frugal since they are based on physics-hybrid methods and summary statistics.

InvertibleNetworks.jl: A Julia package for scalable normalizing flows

no code implementations20 Dec 2023 Rafael Orozco, Philipp Witte, Mathias Louboutin, Ali Siahkoohi, Gabrio Rizzuti, Bas Peters, Felix J. Herrmann

InvertibleNetworks. jl is a Julia package designed for the scalable implementation of normalizing flows, a method for density estimation and sampling in high-dimensional distributions.

Density Estimation Seismic Imaging

WISE: full-Waveform variational Inference via Subsurface Extensions

no code implementations11 Dec 2023 Ziyi Yin, Rafael Orozco, Mathias Louboutin, Felix J. Herrmann

We introduce a probabilistic technique for full-waveform inversion, employing variational inference and conditional normalizing flows to quantify uncertainty in migration-velocity models and its impact on imaging.

Variational Inference

Solving multiphysics-based inverse problems with learned surrogates and constraints

1 code implementation18 Jul 2023 Ziyi Yin, Rafael Orozco, Mathias Louboutin, Felix J. Herrmann

Solving multiphysics-based inverse problems for geological carbon storage monitoring can be challenging when multimodal time-lapse data are expensive to collect and costly to simulate numerically.

Refining Amortized Posterior Approximations using Gradient-Based Summary Statistics

no code implementations15 May 2023 Rafael Orozco, Ali Siahkoohi, Mathias Louboutin, Felix J. Herrmann

We validate our method in a controlled setting by applying it to a stylized problem, and observe improved posterior approximations with each iteration.

Image Reconstruction Variational Inference

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

De-risking Carbon Capture and Sequestration with Explainable CO2 Leakage Detection in Time-lapse Seismic Monitoring Images

1 code implementation16 Dec 2022 Huseyin Tuna Erdinc, Abhinav Prakash Gahlot, Ziyi Yin, Mathias Louboutin, Felix J. Herrmann

With the growing global deployment of carbon capture and sequestration technology to combat climate change, monitoring and detection of potential CO2 leakage through existing or storage induced faults are critical to the safe and long-term viability of the technology.

Binary Classification Seismic Imaging

De-risking geological carbon storage from high resolution time-lapse seismic to explainable leakage detection

1 code implementation7 Oct 2022 Ziyi Yin, Huseyin Tuna Erdinc, Abhinav Prakash Gahlot, Mathias Louboutin, Felix J. Herrmann

Amongst the different monitoring modalities, seismic imaging stands out with its ability to attain high resolution and high fidelity images.

Seismic Imaging

Memory Efficient Invertible Neural Networks for 3D Photoacoustic Imaging

no code implementations24 Apr 2022 Rafael Orozco, Mathias Louboutin, Felix J. Herrmann

Photoacoustic imaging (PAI) can image high-resolution structures of clinical interest such as vascularity in cancerous tumor monitoring.

Retrieval

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.

Velocity continuation with Fourier neural operators for accelerated uncertainty quantification

1 code implementation27 Mar 2022 Ali Siahkoohi, Mathias Louboutin, Felix J. Herrmann

As such, the main contribution of this work is a survey-specific Fourier neural operator surrogate to velocity continuation that maps seismic images associated with one background model to another virtually for free.

Seismic Imaging Uncertainty Quantification

Learned coupled inversion for carbon sequestration monitoring and forecasting with Fourier neural operators

1 code implementation27 Mar 2022 Ziyi Yin, Ali Siahkoohi, Mathias Louboutin, Felix J. Herrmann

We show that we can accurately use a Fourier neural operator as a proxy for the fluid-flow simulator for a fraction of the computational cost.

Low-memory stochastic backpropagation with multi-channel randomized trace estimation

1 code implementation13 Jun 2021 Mathias Louboutin, Ali Siahkoohi, Rongrong Wang, Felix J. Herrmann

Thanks to the combination of state-of-the-art accelerators and highly optimized open software frameworks, there has been tremendous progress in the performance of deep neural networks.

Semantic Segmentation

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

Lossy Checkpoint Compression in Full Waveform Inversion: a case study with ZFPv0.5.5 and the Overthrust Model

no code implementations26 Sep 2020 Navjot Kukreja, Jan Hueckelheim, Mathias Louboutin, John Washbourne, Paul H. J. Kelly, Gerard J. Gorman

This paper proposes a new method that combines check-pointing methods with error-controlled lossy compression for large-scale high-performance Full-Waveform Inversion (FWI), an inverse problem commonly used in geophysical exploration.

Computational Physics Numerical Analysis Numerical Analysis

Neural network augmented wave-equation simulation

1 code implementation27 Sep 2019 Ali Siahkoohi, Mathias Louboutin, Felix J. Herrmann

One proxy of incomplete physics is an inaccurate discretization of Laplacian in simulation of wave equation via finite-difference method.

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

Architecture and performance of Devito, a system for automated stencil computation

3 code implementations9 Jul 2018 Fabio Luporini, Michael Lange, Mathias Louboutin, Navjot Kukreja, Jan Hückelheim, Charles Yount, Philipp Witte, Paul H. J. Kelly, Gerard J. Gorman, Felix J. Herrmann

Some of these are obtained through well-established stencil optimizers, integrated in the back-end of the Devito compiler.

Mathematical Software 65N06, 68N20

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