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Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

Machine Learning · Computer Science 2024-05-24 Noam Koren , Kira Radinsky

Time-lapse seismic full-waveform inversion (FWI) provides estimates of dynamic changes in the subsurface by performing multiple seismic surveys at different times. Since FWI problems are highly non-linear and non-unique, it is important to…

Geophysics · Physics 2023-08-21 Xin Zhang , Andrew Curtis

Seismic wavefields recorded on land are strongly distorted by near-surface heterogeneity, introducing trace-specific, frequency-dependent phase perturbations that persist even after advanced time processing. Conventional surface-consistent…

Geophysics · Physics 2026-03-06 Akshika Rohatgi , Andrey Bakulin , Sergey Fomel

Whether it is oil and gas exploration or geological science research, it is necessary to accurately grasp the structural information of underground media. Full waveform inversion is currently the most popular seismic wave inversion method,…

Geophysics · Physics 2024-07-30 Guoxin Chen

The empirical wavelet transform is an adaptive multiresolution analysis tool based on the idea of building filters on a data-driven partition of the Fourier domain. However, existing 2D extensions are constrained by the shape of the…

Spectral Theory · Mathematics 2024-10-28 Basile Hurat , Zariluz Alvarado , Jerome Gilles

Geometric deep learning has gained tremendous attention in both academia and industry due to its inherent capability of representing arbitrary structures. Due to exponential increase in interest towards renewable sources of energy,…

Machine Learning · Computer Science 2021-10-05 Neetesh Rathore , Pradeep Rathore , Arghya Basak , Sri Harsha Nistala , Venkataramana Runkana

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

Machine Learning · Computer Science 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

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

Noises are common events in seismic reflection data that have very striking features in seismograms, affecting seismic data processing and interpretation. Noise attenuation is an essential phase in seismic processing data, usually resulting…

Geophysics · Physics 2019-04-24 Ahmed J. R. Al-Heety , Hassan A. Thabit

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

Classical multiscale analysis based on wavelets has a number of successful applications, e.g. in data compression, fast algorithms, and noise removal. Wavelets, however, are adapted to point singularities, and many phenomena in several…

Statistics Theory · Mathematics 2007-06-13 David L. Donoho

In this paper, we address the challenging task of achieving multi-view dimensionality reduction. The goal is to effectively use the availability of multiple views for extracting a coherent low-dimensional representation of the data. The…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Arie Yeredor , Moshe Salhov , Amir Averbuch

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

This paper investigates the hedging effectiveness of a dynamic moving window OLS hedging model, formed using wavelet decomposed time-series. The wavelet transform is applied to calculate the appropriate dynamic minimum-variance hedge ratio…

Risk Management · Quantitative Finance 2011-03-28 Thomas Conlon , John Cotter

Wavelet Transforms are a widely used technique for decomposing a signal into coefficient vectors that correspond to distinct frequency/scale bands while retaining time localization. This property enables an adaptive analysis of signals at…

Applications · Statistics 2025-11-05 Jack Kissell , Vijini Lakmini , Brani Vidakovic

This paper presents a short evaluation about the integration of information derived from wavelet non-linear-time-invariant (non-LTI) projection properties using Support Vector Machines (SVM). These properties may give additional information…

Information Retrieval · Computer Science 2007-05-23 Jaime Gomez , Ignacio Melgar , Juan Seijas

Seismic wave generation creates labeled waveform datasets for source parameter inversion, subsurface analysis, and, notably, training artificial intelligence seismology models. Traditionally, seismic wave generation has been time-consuming,…

Geophysics · Physics 2025-09-23 Longfei Duan , Zicheng Zhang , Lianqing Zhou , Congying Han , Lei Bai , Tiande Guo , Cuiping Zhao

Masked Image Modeling (MIM) has garnered significant attention in self-supervised learning, thanks to its impressive capacity to learn scalable visual representations tailored for downstream tasks. However, images inherently contain…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Wenzhao Xiang , Chang Liu , Hongyang Yu , Xilin Chen

Seismic data processing heavily relies on the solution of physics-driven inverse problems. In the presence of unfavourable data acquisition conditions (e.g., regular or irregular coarse sampling of sources and/or receivers), the underlying…

Geophysics · Physics 2022-07-21 Matteo Ravasi

Full-waveform inversion (FWI) is an advanced technique for reconstructing high-resolution subsurface physical parameters by progressively minimizing the discrepancy between observed and predicted seismic data. However, conventional FWI…

Geophysics · Physics 2025-03-04 Chao Song , Tariq Alkhalifah , Umair Bin Waheed , Silin Wang , Cai Liu
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