Diffusion semigroups: A diffusion‐map approach to nonlinear decomposition of seismic data without predetermined basis

Lau, August; Yin, Changchuan; Coifman, Ronald R.; Vassiliou, Anthony

doi:10.1190/1.3255326

Search citation statements

Order By: Relevance

Paper Sections

Select...

Application (Diffusion Semigroup)1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

Publication Types

Select...

Other1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Diffusion semigroup (sometimes called diffusion map) is a nonlinear decomposition of data See Lau et al (2009). The generalized spectrum could be viewed as eigenfunctions (analog to Fourier spectrum for linear transform).…”

Section: Application (Diffusion Semigroup)mentioning

confidence: 99%

Quantitative and Qualitative Seismic Imaging and Seismic Inversion

Lau,

Yin

2017

Preprint

Self Cite

View full text Add to dashboard Cite

We consider seismic imaging to include seismic inversion. Imaging could use approximate operator or time instead of depth. Processing in time is an important part of seismic imaging as well as processing in depth. We can classify seismic imaging as quantitative versus qualitative methods. Quantitative method uses numerical methods to find the solution whose modeled seismic data approximates the input seismic records. Then we will progress to qualitative methods which have three aspects. The first aspect will be topology and geometry. The second aspect is semigroup method. The third aspect is to use nondifferentiable solution.

show abstract

Section: Application (Diffusion Semigroup)mentioning

confidence: 99%