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L-BFGS is the state-of-the-art optimization method for many large scale inverse problems. It has a small memory footprint and achieves superlinear convergence. The method approximates Hessian based on an initial approximation and an update…

Numerical Analysis · Mathematics 2021-03-19 Hari Om Aggrawal , Jan Modersitzki

An extremely 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"). The data consist of a single…

Geophysics · Physics 2020-04-03 William W. Symes

In a typical video rate allocation problem, the objective is to optimally distribute a source rate budget among a set of (in)dependently coded data units to minimize the total distortion of all units. Conventional Lagrangian approaches…

Multimedia · Computer Science 2016-03-22 Ana De Abreu , Gene Cheung , Pascal Frossard , Fernando Pereira

Frequency-domain Full Waveform Inversion (FWI) is potentially amenable to efficient processing of full-azimuth long-offset stationary-recording seabed acquisition carried out with sparse layout of ocean bottom nodes (OBNs) and broadband…

Magnetic Resonance Imaging (MRI) is one of the fields that the compressed sensing theory is well utilized to reduce the scan time significantly leading to faster imaging or higher resolution images. It has been shown that a small fraction…

Information Theory · Computer Science 2014-06-03 Cagdas Bilen , Yao Wang , Ivan Selesnick

Full-waveform inversion (FWI) is a powerful technique for reconstructing high-resolution material parameters from seismic or ultrasound data. The conventional least-squares (\(L^{2}\)) misfit suffers from pronounced non-convexity that leads…

Optimization and Control · Mathematics 2025-08-26 Matej Neumann , Yunan Yang

Fog Radio Access Networks (F-RAN) are gaining worldwide interests for enabling mobile edge computing for Beyond 5G. However, to realize the future real-time and delay-sensitive applications, F-RAN tailored radio resource allocation and…

Networking and Internet Architecture · Computer Science 2020-09-28 Thi Ha Ly Dinh , Megumi Kaneko , Ellen Hidemi Fukuda , Lila Boukhatem

Ultrasound tomography (UST) scanners allow quantitative images of the human breast's acoustic properties to be derived with potential applications in screening, diagnosis and therapy planning. Time domain full waveform inversion (TD-FWI) is…

Numerical Analysis · Mathematics 2022-01-19 Felix Lucka , Mailyn Pérez-Liva , Bradley E. Treeby , Ben T. Cox

Full waveform inversion (FWI) is a process in which seismic numerical simulations are fit to observed data by changing the wave velocity model of the medium under investigation. The problem is non-linear, and therefore optimization…

Computational Engineering, Finance, and Science · Computer Science 2017-06-06 Eran Treister , Eldad Haber

We introduce a twice differentiable augmented Lagrangian for nonlinear optimization with general inequality constraints and show that a strict local minimizer of the original problem is an approximate strict local solution of the augmented…

Optimization and Control · Mathematics 2021-06-30 Xin-Wei Liu , Yu-Hong Dai , Ya-Kui Huang , Jie Sun

In this paper, we investigate sequential power allocation over fast varying channels for mission-critical applications, aiming to minimize the expected sum power while guaranteeing the transmission success probability. In particular, a…

Information Theory · Computer Science 2023-06-09 Chongtao Guo , Zhengchao Li , Le Liang , Geoffrey Ye Li

We propose a novel Hadamard integrator for the self-adjoint time-dependent wave equation in an inhomogeneous medium. First, we create a new asymptotic series based on the Gelfand-Shilov function, dubbed Hadamard's ansatz, to approximate the…

Numerical Analysis · Mathematics 2023-08-29 Yuxiao Wei , Jin Cheng , Robert Burridge , Jianliang Qian

Searching for accurate Machine and Deep Learning models is a computationally expensive and awfully energivorous process. A strategy which has been gaining recently importance to drastically reduce computational time and energy consumed is…

Machine Learning · Computer Science 2020-06-26 Antonio Candelieri , Riccardo Perego , Francesco Archetti

Spurious numerical mixing is a frequent phenomenon in ocean models. In this paper, we present an efficient and robust methodology that defines the vertical grid motion so that this mixing is reduced. This motion is defined as the solution…

Computational Physics · Physics 2026-05-27 Andreas Alexandris-Galanopoulos , George Papadakis

Efficient frequency-domain Full Waveform Inversion (FWI) of long-offset node data can be designed with a few discrete frequencies hence allowing for compact volume of data to be managed. Moreover, attenuation effects can be…

Analysis of PDEs · Mathematics 2021-10-29 P. -H. Tournier , P. Jolivet , V. Dolean , H. S. Aghamiry , S. Operto , S. Riffo

In this paper, we propose a second order optimization method to learn models where both the dimensionality of the parameter space and the number of training samples is high. In our method, we construct on each iteration a Krylov subspace…

Machine Learning · Statistics 2011-11-21 Oriol Vinyals , Daniel Povey

Fully digital massive MIMO systems with large numbers (1000+) of antennas offer dramatically increased capacity gains from spatial multiplexing and beamforming. Designing digital receivers that can scale to these array dimensions presents…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Ali Rasteh , Amirreza Kiani , Marco Mezzavilla , Sundeep Rangan

This study presents the first experimental validation of a Hessian-free ray-Born inversion technique for quantitative reconstruction of sound speed from transmission ultrasound data. The method combines single-scattering theory with…

Medical Physics · Physics 2025-11-21 Ashkan Javaherian

In this paper, we introduce a Lagrange multiplier approach to construct linearly implicit energy-preserving schemes of arbitrary order for general Hamiltonian PDEs. Unlike the widely used auxiliary variable methods, this novel approach does…

Numerical Analysis · Mathematics 2026-01-21 Yonghui Bo , Yushun Wang

Future sixth-generation (6G) systems are expected to leverage extremely large-scale multiple-input multiple-output (XL-MIMO) technology, which significantly expands the range of the near-field region. The spherical wavefront characteristics…

Information Theory · Computer Science 2025-05-20 Shicong Liu , Xianghao Yu , Zhen Gao , Jie Xu , Derrick Wing Kwan Ng , Shuguang Cui