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In signal processing, the data collected from sensing devices is often a noisy linear superposition of multiple components, and the estimation of components of interest constitutes a crucial pre-processing step. In this work, we develop a…

Signal Processing · Electrical Eng. & Systems 2026-02-12 Yi Zhang , Rui Guo , Yonina C. Eldar

Data augmentation (DA) can significantly strengthen the electroencephalogram (EEG)-based seizure prediction methods. However, existing DA approaches are just the linear transformations of original data and cannot explore the feature space…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Kai Shu , Le Wu , Yuchang Zhao , Aiping Liu , Ruobing Qian , Xun Chen

This article introduces a new signal analysis method, which can be interpreted as a principal component analysis in sparse decomposition of the signal. The method, called principal basis analysis, is based on a novel criterion:…

Computer Vision and Pattern Recognition · Computer Science 2015-11-26 Hong Sun , Cheng-Wei Sang , Chen-Guang Liu

This book presents the core principles that have guided the development of diffusion models, tracing their origins and showing how diverse formulations arise from shared mathematical ideas. Diffusion modeling starts by defining a forward…

Machine Learning · Computer Science 2026-05-28 Chieh-Hsin Lai , Yang Song , Dongjun Kim , Yuki Mitsufuji , Stefano Ermon

When dealing with seismic data, diffusion models often face challenges in adequately capturing local features and expressing spatial relationships. This limitation makes it difficult for diffusion models to remove noise from complex…

Geophysics · Physics 2024-08-14 Wang Mingwei , Li Yong , Liu Yingtian , Peng Junheng , Li Huating

Random and structured noise both affect seismic data, hiding the reflections of interest (primaries) that carry meaningful geophysical interpretation. When the structured noise is composed of multiple reflections, its adaptive cancellation…

Geophysics · Physics 2014-06-19 Mai Quyen Pham , Caroline Chaux , Laurent Duval , Jean-Christophe Pesquet

Seismic data processing plays a major role in seismic exploration as it conditions much of the seismic interpretation performance. In this context, generating reliable post-stack seismic data depends also on disposing of an efficient…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Dario Augusto Borges Oliveira , Daniil Semin , Semen Zaytsev

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

Methodology · Statistics 2022-01-27 Christos Merkatas , Simo Särkkä

In this paper, a signal detection method based on the denoise diffusion model (DM) is proposed, which outperforms the maximum likelihood (ML) estimation method that has long been regarded as the optimal signal detection technique.…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Xiucheng Wang , Peilin Zheng , Nan Cheng

Seismic impedance inversion is one of the most important part of geophysical exploration. However, due to random noise, the traditional semi-supervised learning (SSL) methods lack generalization and stability. To solve this problem, some…

Geophysics · Physics 2024-06-26 Yingtian Liu , Yong Li , Xingan Hao , Huating Li , Zhangquan Liao , Junheng Peng

Denoising diffusion models, a class of generative models, have garnered immense interest lately in various deep-learning problems. A diffusion probabilistic model defines a forward diffusion stage where the input data is gradually perturbed…

Image and Video Processing · Electrical Eng. & Systems 2023-06-06 Amirhossein Kazerouni , Ehsan Khodapanah Aghdam , Moein Heidari , Reza Azad , Mohsen Fayyaz , Ilker Hacihaliloglu , Dorit Merhof

Compared with traditional seismic noise attenuation algorithms that depend on signal models and their corresponding prior assumptions, removing noise with a deep neural network is trained based on a large training set, where the inputs are…

Geophysics · Physics 2019-07-23 Siwei Yu , Jianwei Ma , Wenlong Wang

To streamline fast-track processing of large data volumes, we have developed a deep learning approach to deblend seismic data in the shot domain based on a practical strategy for generating high-quality training data along with a list of…

Geophysics · Physics 2024-09-16 Jing Sun , Song Hou , Vetle Vinje , Gordon Poole , Leiv-J Gelius

Seismic data often face challenges in their utilization due to noise contamination, incomplete acquisition, and limited low-frequency information, which hinder accurate subsurface imaging and interpretation. Traditional processing methods…

Geophysics · Physics 2025-02-04 Shijun Cheng , Randy Harsuko , Tariq Alkhalifah

High-throughput data analyses are becoming common in biology, communications, economics and sociology. The vast amounts of data are usually represented in the form of matrices and can be considered as knowledge networks. Spectra-based…

Quantitative Methods · Quantitative Biology 2010-01-06 Viet-Anh Nguyen , Zdena Koukolikova-Nicola , Franco Bagnoli , Pietro Lio

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

Detecting weak seismic events from noisy sensors is a difficult perceptual task. We formulate this task as Bayesian inference and propose a generative model of seismic events and signals across a network of spatially distributed stations.…

Machine Learning · Computer Science 2017-03-03 David A. Moore , Stuart J. Russell

Matrix decomposition is one of the fundamental tools to discover knowledge from big data generated by modern applications. However, it is still inefficient or infeasible to process very big data using such a method in a single machine.…

Machine Learning · Computer Science 2020-02-11 Chihao Zhang , Yang Yang , Wei Zhang , Shihua Zhang

Seismic data frequently exhibits missing traces, substantially affecting subsequent seismic processing and interpretation. Deep learning-based approaches have demonstrated significant advancements in reconstructing irregularly missing…

Geophysics · Physics 2025-01-16 Paul Goyes-Peñafiel , Ulugbek Kamilov , Henry Arguello

An entirely different approach is used for the extraction of preseismic electric signals from highly contaminated by noise data series. The basic element of this method is the "Dirac Delta Function". Noise is injected, instead of applying…

Geophysics · Physics 2008-07-29 C. Thanassoulas , V. Klentos , G. Verveniotis