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regularized nonstationary autoregression

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Journal Article
Journal: Geophysics
Published: 26 November 2014
Geophysics (2015) 80 (1): V13–V21.
... (APF) and further extended this to a 3D t - x - y version for random noise attenuation based on regularized nonstationary autoregression (RNA). Instead of patching, a popular method for handling nonstationarity, we obtained smoothly nonstationary APF coefficients by solving a global regularized least...
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Journal Article
Journal: Geophysics
Published: 08 October 2013
Geophysics (2013) 78 (6): O69–O76.
... nonstationary autoregression. To estimate local amplitudes of different components, I fit their sum to the data using regularized nonstationary regression. Shaping regularization ensures stability of the estimation process and provides controls on smoothness of the estimated parameters. Potential applications...
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Journal Article
Journal: Geophysics
Published: 21 February 2012
Geophysics (2012) 77 (2): V61–V69.
...Guochang Liu; Xiaohong Chen; Jing Du; Kailong Wu ABSTRACT We have developed a novel method for random noise attenuation in seismic data by applying regularized nonstationary autoregression (RNA) in the frequency-space ( f - x ) domain. The method adaptively predicts the signal with spatial changes...
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Journal Article
Journal: Geophysics
Published: 21 November 2011
Geophysics (2011) 76 (5): V69–V77.
...) and regularized nonstationary autoregression. Instead of cutting data into overlapping windows (patching), a popular method for handling nonstationarity, we obtain smoothly nonstationary PEF coefficients by solving a global regularized least-squares problem. We employ shaping regularization to control...
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Journal Article
Journal: Geophysics
Published: 19 March 2021
Geophysics (2021) 86 (3): W21–W30.
.... The regularized nonstationary autoregression (RNAR) method can be treated as a nonstationary extension of traditional PF, in which the predictive filter coefficients are variable in different spatial locations. This highly underdetermined inverse problem is solved by shaping regularization with a smoothness...
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Journal Article
Journal: Geophysics
Published: 26 June 2018
Geophysics (2018) 83 (4): F41–F48.
.... The streaming characteristic makes the proposed method faster than iterative approaches. In comparison with f - x deconvolution and f - x regularized nonstationary autoregression, we tested the feasibility of the proposed method in attenuating random noise on two synthetic data sets. Field-data examples confirm...
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Series: Geophysical References Series, Geophysical References Series
Published: 01 January 2010
EISBN: 9781560802273
... method of nonstationary regression and that applies to nonstationary match filtering. The key idea is the use of shaping regularization to constrain the variability of nonstationary regression coefficients. Simple computational experiments demonstrate advantages of shaping regularization over classic...
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Journal Article
Journal: Geophysics
Published: 29 December 2008
Geophysics (2009) 74 (1): V25–V33.
... a general method of nonstationary regression and that applies to nonstationary match filtering. The key idea is the use of shaping regularization to constrain the variability of nonstationary regression coefficients. Simple computational experiments demonstrate advantages of shaping regularization over...
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Journal Article
Journal: Geophysics
Published: 27 April 2021
Geophysics (2021) 86 (3): V245–V254.
... the nonstationary nature of seismic data, time-frequency spectra can be obtained by applying a local time-frequency transform (LTFT) method that matches the input data by fitting the Fourier basis with nonstationary Fourier coefficients in the shaping regularization framework. The key part of LTFT is the temporal...
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Image
(a) Marmousi model and (b) trace interpolation with <b>regularized</b> nonstationa...
in > Geophysics
Published: 21 November 2011
Figure 3. (a) Marmousi model and (b) trace interpolation with regularized nonstationary autoregression.
Journal Article
Journal: Geophysics
Published: 23 November 2018
Geophysics (2019) 84 (1): V1–V9.
... of nonstationary blind deconvolution over the patched-based deconvolution from the regularization point of view is that in nonstationary blind deconvolution, the wavelets are estimated simultaneously and the reflectivity is estimated as a whole. This allows imposing statistical constraints between the wavelets...
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Journal Article
Journal: Geophysics
Published: 03 December 2018
Geophysics (2019) 84 (1): A1–A6.
... recover an absolute AI from the nonstationary seismic data directly, even though this inversion problem is seriously ill-posed and nonlinear. The inverted AI profile will be satisfied with the assumption that the calculated reflectivity is comparatively sparse corresponding to its minimum l p -norm...
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Journal Article
Journal: Geophysics
Published: 12 February 2010
Geophysics (2010) 75 (1): E67–E78.
...Saumen Maiti; Ram Krishna Tiwari Abstract The precise classification of changes in rock boundaries/facies from well-log records is a complex problem in geophysical data processing. Observed well-log data are a complex superposition of nonstationary/nonlinear signals of varying wavelengths...
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Journal Article
Published: 01 November 2013
Vadose Zone Journal (2013) 12 (4): vzj2012.0196.
... components and the nonstationary components that define the mean function of the process. Among the parametric models are autoregressive models, moving average models, autoregressive moving average models, autoregressive integrated moving average models, and state-space models. Unlike for other spatial...
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Journal Article
Journal: Geophysics
Published: 28 December 2016
Geophysics (2017) 82 (1): V51–V67.
... attributes. Fomel (2013) uses a nonstationary version of Prony’s spectral analysis method ( Marple, 1987 ; Bath, 1995 ) defined via regularized nonstationary autoregression in a least-squares minimization sense and adapts the estimation of instantaneous spectral components. Except for the ℓ 2...
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Journal Article
Journal: Geophysics
Published: 28 January 2013
Geophysics (2013) 78 (2): S47–S58.
... field data set acquired from the Gulf of Mexico, and we precondition the inversion with nonstationary dip filters, which naturally incorporate interpreted geologic information. Numerical examples demonstrate that imaging by regularized inversion successfully recovers the reflectivities from the effects...
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Image
(a) Curved model (Figure  2c ) with 70% randomly selected traces removed an...
in > Geophysics
Published: 21 November 2011
Figure 4. (a) Curved model (Figure  2c ) with 70% randomly selected traces removed and (b) trace interpolation with regularized nonstationary autoregression.
Image
(a) Aliased synthetic data, (b) trace interpolation with plane-wave destruc...
in > Geophysics
Published: 21 November 2011
Figure 1. (a) Aliased synthetic data, (b) trace interpolation with plane-wave destruction, and (c) trace interpolation with regularized nonstationary autoregression. Three additional traces were inserted between each of the neighboring input traces.
Journal Article
Journal: Geophysics
Published: 28 March 2014
Geophysics (2014) 79 (3): V81–V91.
...). Then, an autoregressive model was applied to the sum of the first few IMFs, which contained the high-dip-angle components, to predict the useful steeper events. Finally, the predicted events were added to the sum of the remaining IMFs. This process improved the prediction precision by using an EMD-based dip filter...
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Journal Article
Published: 01 August 2013
Vadose Zone Journal (2013) 12 (3): vzj2012.0183.
... for the assessment of model quality, complementing traditional validation parameters. Autoregressive Integrated Moving Average (ARIMA) methodology was used to obtain daily radiation models. The global irradiation series model explained over 55% of the variance. The model for diffuse radiation showed the lowest...
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