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相关论文: Analysis of Seismic Inversion with Optimal Transpo…

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This study introduces a novel approach for estimating plane-wave coefficients in sound field reconstruction, specifically addressing challenges posed by error-in-variable phase perturbations. Such systematic errors typically arise from…

信号处理 · 电气工程与系统科学 2026-02-06 Yuyang Liu , Johan Karlsson , Filip Elvander

We study optimal transport (OT) problem for probability measures supported on a tree metric space. It is known that such OT problem (i.e., tree-Wasserstein (TW)) admits a closed-form expression, but depends fundamentally on the underlying…

机器学习 · 统计学 2024-03-04 Tam Le , Truyen Nguyen , Kenji Fukumizu

Recent studies have proposed different methods to improve multilingual word representations in contextualized settings including techniques that align between source and target embedding spaces. For contextualized embeddings, alignment…

计算与语言 · 计算机科学 2026-03-20 Sawsan Alqahtani , Garima Lalwani , Yi Zhang , Salvatore Romeo , Saab Mansour

Global seismic tomography, taking advantage of seismic waves from natural earthquakes, provides essential insights into the earth's internal dynamics. Advanced Full-waveform Inversion (FWI) techniques, whose aim is to meticulously interpret…

地球物理 · 物理学 2025-10-03 Shiqian Li , Zhi Li , Zhancun Mu , Shiji Xin , Zhixiang Dai , Kuangdai Leng , Ruihua Zhang , Xiaodong Song , Yixin Zhu

Pansharpening, a pivotal task in remote sensing for fusing high-resolution panchromatic and multispectral imagery, has garnered significant research interest. Recent advancements employing diffusion models based on stochastic differential…

计算机视觉与模式识别 · 计算机科学 2025-03-20 Zihan Cao , Yu Zhong , Liang-Jian Deng

Complex salt geometries and strong velocity contrasts pose significant challenges for velocity model building and subsalt imaging. Although full waveform inversion (FWI) provides high-resolution velocity models, its performance strongly…

地球物理 · 物理学 2026-03-30 Siyuan Dong , Jinghuai Gao , Yunduo Li , Zhaoqi Gao , Baohai Wu , Feng Liu

Optimal transport (OT) and Gromov-Wasserstein (GW) alignment provide interpretable geometric frameworks for comparing, transforming, and aggregating heterogeneous datasets -- tasks ubiquitous in data science and machine learning. Because…

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…

最优化与控制 · 数学 2022-09-28 William W. Symes , Huiyi Chen , Susan E. Minkoff

Over the past few years, numerous computational models have been developed to solve Optimal Transport (OT) in a stochastic setting, where distributions are represented by samples and where the goal is to find the closest map to the ground…

统计理论 · 数学 2023-02-01 Adrien Vacher , François-Xavier Vialard

Quantitative speed-of-sound (SoS) and attenuation of tissues are closely related to pathology; however, conventional B-mode images are limited to qualitative visualization. Existing ultrasound full-waveform inversion (FWI) methods for…

信号处理 · 电气工程与系统科学 2026-04-20 Rui Guo , Ditza Auerbach , Yonina C. Eldar

We present the Trust Region Adversarial Functional Subdifferential (TRAFS) algorithm for constrained optimization of nonsmooth convex Lipschitz functions. Unlike previous methods that assume a subgradient oracle model, we work with the…

最优化与控制 · 数学 2024-01-30 Kai Jia , Martin Rinard

The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploration, the observed data usually consist of measurements of the…

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…

偏微分方程分析 · 数学 2021-10-29 P. -H. Tournier , P. Jolivet , V. Dolean , H. S. Aghamiry , S. Operto , S. Riffo

We study an entropic optimal transport problem in which the transport plan is penalized by a nonlinear convex functional acting on the coupling. We establish existence, uniqueness, and uniform a priori bounds for minimizers, and we show…

最优化与控制 · 数学 2025-12-15 Anna Kazeykina , Zhenjie Ren , Xiaozhen Wang , Yufei Zhang

Full Waveform Inversion (FWI) is a successful and well-established inverse method for reconstructing material models from measured wave signals. In the field of seismic exploration, FWI has proven particularly successful in the…

计算工程、金融与科学 · 计算机科学 2023-12-05 Tim Bürchner , Philipp Kopp , Stefan Kollmannsberger , Ernst Rank

Optimal Transport (OT) has attracted significant interest in the machine learning community, not only for its ability to define meaningful distances between probability distributions -- such as the Wasserstein distance -- but also for its…

机器学习 · 计算机科学 2025-11-04 Laetitia Chapel , Romain Tavenard , Samuel Vaiter

The robust beamforming problem in multiple-input single-output (MISO) downlink networks of simultaneous wireless information and power transfer (SWIPT) is studied in this paper. Adopting the time switching fashion to perform energy…

信号处理 · 电气工程与系统科学 2018-03-22 Yinglei Teng , Wanxin Zhao , Mei Yan , Yong Zhang , Mei Song

Regularising the primal formulation of optimal transport (OT) with a strictly convex term leads to enhanced numerical complexity and a denser transport plan. Many formulations impose a global constraint on the transport plan, for instance…

机器学习 · 计算机科学 2023-10-05 Hugues Van Assel , Titouan Vayer , Remi Flamary , Nicolas Courty

In micro-seismic event measurements, pinpointing the passive source's exact spatial and temporal location is paramount. This research advocates for the combined use of both P- and S-wave data, captured by geophone monitoring systems, to…

地球物理 · 物理学 2023-10-20 Hanchen Wang , Qiang Guo , Tariq Alkhalifah

Full-waveform inversion (FWI) plays a vital role in geoscience to explore the subsurface. It utilizes the seismic wave to image the subsurface velocity map. As the machine learning (ML) technique evolves, the data-driven approaches using ML…

机器学习 · 计算机科学 2024-01-09 Junhuan Yang , Hanchen Wang , Yi Sheng , Youzuo Lin , Lei Yang