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Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few frequencies and attenuation is easily implemented without…

Computational Physics · Physics 2020-04-15 Victorita Dolean , Pierre Jolivet , Stéphane Operto , Pierre-Henri Tournier

Full waveform inversion (FWI) is a large-scale nonlinear ill-posed problem for which computationally expensive Newton-type methods can become trapped in undesirable local minima, particularly when the initial model lacks a low-wavenumber…

Geophysics · Physics 2024-02-23 Ali Gholami

Full waveform inversion is an ill-posed inverse problem whose solution non-uniqueness -- i.e., arising from band-limited, finite-aperture, noisy data -- calls for uncertainty quantification to avoid overconfident geological interpretations.…

Geophysics · Physics 2026-03-27 Kamal Aghazade , Ali Siahkoohi , Ali Gholami

Implementation of the standard full waveform inversion (FWI) poses difficulties as the initial model offsets from the true model. The wavefield reconstruction inversion (WRI) was proposed to mitigate these difficulties by relaxing the…

Optimization and Control · Mathematics 2022-06-16 Ali Gholami , Hossein S. Aghamiry , Stephane Operto

We propose two preconditioned gradient direction for full waveform inversion (FWI). The first one is using time integral wavefields. The Least square problem is formulated as the time integral residual wavefields, which can partially…

Geophysics · Physics 2014-06-18 Guanghui Huang , Huazhong Wang , Haoran Ren

Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few frequencies and attenuation is easily implemented without…

Computational Physics · Physics 2020-04-20 Victorita Dolean , Pierre Jolivet , Stéphane Operto , Pierre-Henri Tournier

We propose and test a method to reduce the dimensionality of Full Waveform Inversion (FWI) inputs as computational cost mitigation approach. Given modern seismic acquisition systems, the data (as input for FWI) required for an…

Machine Learning · Computer Science 2026-01-06 Maayan Gelboim , Amir Adler , Mauricio Araya-Polo

Hessian-free training has become a popular parallel second or- der optimization technique for Deep Neural Network training. This study aims at speeding up Hessian-free training, both by means of decreasing the amount of data used for…

Machine Learning · Computer Science 2013-12-11 Tara N. Sainath , Lior Horesh , Brian Kingsbury , Aleksandr Y. Aravkin , Bhuvana Ramabhadran

Full-waveform inversion (FWI) is a seismic imaging method that provides quantitative inference about subsurface properties with a wavelength-scale resolution. Its frequency-domain formulation is computationally efficient when processing…

Optimization and Control · Mathematics 2022-02-18 Hossein S. Aghamiry , Ali Gholami , Kamal Aghazade , Mahdi Sonbolestan , Stephane Operto

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. This…

Full-waveform inversion (FWI) is a powerful seismic imaging technique used to estimate high-resolution physical properties of subsurface structures by minimizing the misfit between observed and modeled seismic data. FWI is inherently a…

Geophysics · Physics 2025-12-19 Kamal Aghazade , Toktam Zand , Ali Gholami

Lagrangian relaxation is a versatile mathematical technique employed to relax constraints in an optimization problem, enabling the generation of dual bounds to prove the optimality of feasible solutions and the design of efficient…

Artificial Intelligence · Computer Science 2023-12-25 Augustin Parjadis , Quentin Cappart , Bistra Dilkina , Aaron Ferber , Louis-Martin Rousseau

In this paper, we consider an intelligent reflecting surface (IRS)-aided cell-free massive multiple-input multiple-output system, where the beamforming at access points and the phase shifts at IRSs are jointly optimized to maximize energy…

Signal Processing · Electrical Eng. & Systems 2022-12-27 Si-Nian Jin , Dian-Wu Yue , Yi-Ling Chen , Qing Hu

Marine controlled-source electromagnetic (CSEM) method has proved its potential in detecting highly resistive hydrocarbon bearing formations. A novel frequency domain CSEM inversion approach using fictitious wave domain time stepping…

Numerical Analysis · Mathematics 2023-09-06 Pengliang Yang

In this article, continuous Galerkin finite elements are applied to perform full waveform inversion (FWI) for seismic velocity model building. A time-domain FWI approach is detailed that uses meshes composed of variably sized triangular…

Computational Engineering, Finance, and Science · Computer Science 2021-08-26 Keith J. Roberts , Alexandre Olender , Lucas Franceschini , Robert C. Kirby , Rafael S. Gioria , Bruno S. Carmo

We begin by addressing the time-domain full-waveform inversion using the adjoint method. Next, we derive the scaled boundary semi-weak form of the scalar wave equation in heterogeneous media through the Galerkin method. Unlike conventional…

Numerical Analysis · Mathematics 2025-01-14 Alireza Daneshyar , Stefan Kollmannsberger

Efficient high-rank approximations of the Hessian can accelerate seismic full waveform inversion (FWI) and uncertainty quantification (UQ). In FWI, approximations of the inverse of the Hessian may be used as preconditioners for Newton-type…

Numerical Analysis · Mathematics 2025-08-12 Mathew Hu , Nick Alger , Rami Nammour , Omar Ghattas

Study of a simple single-trace transmission example shows how an extended source formulation of full-waveform inversion can produce an optimization problem without spurious local minima ("cycle skipping"), hence efficiently solvable via…

Optimization and Control · Mathematics 2022-09-28 William W. Symes , Huiyi Chen , Susan E. Minkoff

We leverage second-order information for tuning of inverse optimal controllers for a class of discrete-time nonlinear input-affine systems. For this, we select the input penalty matrix, representing a tuning knob, to yield the Hessian of…

Optimization and Control · Mathematics 2022-11-17 Taouba Jouini , Zhiyong Sun , Venkatraman Renganathan

Full-waveform inversion (FWI) is a high-resolution and computationally intensive imaging technique to reconstruct unknown parameters in the computational model in which the waves propagate; however, an accurate model of only part of this…

Optimization and Control · Mathematics 2022-03-25 Hossein S. Aghamiry , Ali Gholami , Stephane Operto , Alison Malcolm