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convolutional sparse coding

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Book Chapter

Author(s)
Gerard Schuster
Series: Geophysical Developments Series
Published: 18 December 2024
DOI: 10.1190/1.9781560804048.ch15
EISBN: 9781560804048
... with surface waves, (b) denoised data, and (c) the residual. Figure 15.16: Projection of b on the convex set ‖ y ‖ 2 2 ≤ 1 . This chapter discusses how the convolutional sparse coding method can be used to eliminate both coherent and random noise in seismic data. 15.5...
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Journal Article
Journal: Geophysics
Published: 04 January 2021
Geophysics (2021) 86 (1): V23–V30.
...Zhaolun Liu; Kai Lu ABSTRACT We have developed convolutional sparse coding (CSC) to attenuate noise in seismic data. CSC gives a data-driven set of basis functions whose coefficients form a sparse distribution. The noise attenuation method by CSC can be divided into the training and denoising...
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Journal Article
Journal: Geophysics
Published: 27 July 2021
Geophysics (2021) 86 (5): V361–V374.
...-based learning algorithms work on overlapping patches of data and do not take the full data into account during reconstruction. In contrast, the data patches (convolutional sparse coding [CSC]) model treats signals globally and, therefore, has shown superior performance over patch-based methods...
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Journal Article
Journal: Geophysics
Published: 07 June 2023
Geophysics (2023) 88 (4): E107–E122.
... good results. To overcome the problem, a new strong-noise elimination method called inception-temporal convolutional network-shift-invariant sparse coding (IncepTCN-SISC) is developed based on deep learning and dictionary learning. First, a novel deep neural network model called IncepTCN is created...
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Journal Article
Journal: Geophysics
Published: 27 March 2024
Geophysics (2024) 89 (3): P33–P45.
... air-gun sources to obtain source-coded blended data. Deblending of the popcorn-source blended data might be done by combining popcorn reconstruction and source separation in sparse inversion. Simulated synthetic examples show that the incorporation of popcorn reconstruction into the original source...
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Journal Article
Journal: Geophysics
Published: 13 June 2020
Geophysics (2020) 85 (4): WA241–WA253.
... version of SLSM that finds the Γ * and m * that minimize equation  5 , which is equivalent to the convolutional sparse coding problem. We denote the optimal solution m * as the NNLSM image. Here, we assume that the migration image m mig can be decomposed...
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Journal Article
Journal: Geophysics
Published: 21 June 2023
Geophysics (2023) 88 (4): V345–V359.
... D. Cohen I. Vassiliou A. A. , 2021 , Convolutional sparse coding fast approximation with application to seismic reflectivity estimation : IEEE Transactions on Geoscience and Remote Sensing , 60 , 1 – 19 , doi: http://dx.doi.org/10.1109/TGRS.2021.3105300 . IGRSD2 0196-2892...
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Journal Article
Journal: Geophysics
Published: 06 January 2025
Geophysics (2025) 90 (2): V53–V65.
... into a novel supervised deep-learning framework, demonstrating improved denoising performance. Liu and Lu (2021) propose a convolutional sparse coding method to denoise seismic signals with a set of learned translationally invariant dictionaries. Iqbal (2023) proposes a deep segmental denoising neural...
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Journal Article
Journal: Geophysics
Published: 17 September 2021
Geophysics (2021) 86 (5): 1SO–4SO.
... of both noise-free and noisy seismic data. Almadani et al. propose using a new convolutional sparse coding-based approach to denoise and interpolate seismic data. This approach leverages global data features during the reconstruction that results in a more simplified and accurate implementation...
Journal Article
Journal: Geophysics
Published: 16 June 2022
Geophysics (2022) 87 (4): V321–V340.
... : Geophysics , 48 , 854 – 886 , doi: http://dx.doi.org/10.1190/1.1441516 . GPYSA7 0016-8033 Liu Z. Lu K. , 2021 , Convolutional sparse coding for noise attenuation in seismic data : Geophysics , 86 , no.  1 , V23 – V30 , doi: http://dx.doi.org/10.1190/geo2019-0746.1 . GPYSA7 0016-8033...
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Journal Article
Journal: Geophysics
Published: 23 February 2021
Geophysics (2021) 86 (2): P13–P24.
.... Hinton G. E. , 2012 , Imagenet classification with deep convolutional neural networks : NIPS’12 Proceedings of the 25th International Conference on Neural Information Processing Systems , 1 , 1097 – 1105 . Kutscha H. Verschuur D. J. , 2012 , Data reconstruction via sparse double...
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Journal Article
Published: 05 June 2024
Petroleum Geoscience (2024) 30 (3): petgeo2022-032.
... in Goodfellow et al. (2014) , DCGAN sets the classes G and D to be two subfamilies of sparsely connected deep convolutional neural networks in the two-player minimax problem. Taking the advantages of convolutional architectures, DCGAN is useful in extracting important features from...
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Journal Article
Journal: Geophysics
Published: 31 December 2021
Geophysics (2022) 87 (2): V59–V73.
... via convolutional sparse coding : The Journal of Machine Learning Research , 18 , 2887 – 2938 . Porsani M. J. , 1999 , Seismic trace interpolation using half-step prediction filters : Geophysics , 64 , 1461 – 1467 , doi: http://dx.doi.org/10.1190/1.1444650 . GPYSA7 0016-8033...
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Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2008
EISBN: 9781560801917
... Abstract This paper introduces convolutional quelling as a technique to improve imaging of seismic tomography data. We show the result amounts to a special type of damped, weighted, least-squares solution. This insight allows us to implement the technique in a practical manner using a sparse...
Journal Article
Journal: Geophysics
Published: 06 November 2023
Geophysics (2024) 89 (1): WA127–WA141.
... from sparse 1D well-log labels. Fully convolutional networks rely on their parameter sharing mechanism and receptive fields to achieve this, but their perceptual range is limited, making it difficult to capture long-term correlations in seismic data. The transformer is a type of network...
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Journal Article
Journal: Geophysics
Published: 06 January 2025
Geophysics (2025) WA125–WA140.
... convolutional network-shift-invariant sparse coding method. This method enables the identification and removal of strong and weak noise. The S/N of the CSEM data is improved by almost 8 dB following denoising with this method. In addition, deep learning has been extensively used in seismic data processing...
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Journal Article
Journal: Geophysics
Published: 01 July 2021
Geophysics (2021) 86 (4): R509–R527.
... al., 2006 ). Given the dictionaries, the corresponding sparse coefficients and patterns can be obtained. The sparse coding for high-resolution details m h l is conducted with the orthogonal matching pursuit (OMP) ( Elad, 2010 ) for the high-resolution coefficient α h...
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Journal Article
Journal: Geophysics
Published: 08 November 2024
Geophysics (2024) 89 (6): V635–V652.
... the dictionary update and sparse-coding processes during reconstruction, replacing the SVD operation for updating the dictionary with a straightforward summation across the patches. Furthermore, Almadani et al. (2021) use a dictionary learning method featuring a convolutional structure called the local block...
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Journal Article
Journal: Geophysics
Published: 11 October 2023
Geophysics (2024) 89 (1): WA39–WA51.
... together using an appropriate dithering code such that the input and output traces are related via a system of linear equations. In this work, as we deal with marine data, we choose a dithering code that is a predefined sequence of time delays. For a general discussion on blending codes for different...
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Journal Article
Journal: Geophysics
Published: 13 December 2023
Geophysics (2024) 89 (1): B1–B15.
...-1 . Mairal J. Bach F. Ponce J. Sapiro G. , 2010 , Online learning for matrix factorization and sparse coding : Journal of Machine Learning Research , 11 , 19 – 60 , doi: http://dx.doi.org/10.48550/arXiv.0908.0050 . Marfurt K. J. Sudhaker V. Gersztenkorn...
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