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Multiscale geometric analysis information


Multiscale geometric analysis or geometric multiscale analysis is an emerging area of high-dimensional signal processing and data analysis.

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Multiscale geometric analysis

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Multiscale geometric analysis or geometric multiscale analysis is an emerging area of high-dimensional signal processing and data analysis. Wavelet Scale...

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David Donoho

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low-dimensional representations for high-dimensional data problems (multiscale geometric analysis), development of wavelets for denoising and compressed sensing...

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Hypercomplex analysis

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ISBN 0-12-639201-3. Daniel Alpay (ed.) (2006) Wavelets, Multiscale systems and Hypercomplex Analysis, Springer, ISBN 9783764375881 . Enrique Ramirez de Arellanon...

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List of statistics articles

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comparisons Multiple-try Metropolis Multiresolution analysis Multiscale decision making Multiscale geometric analysis Multistage testing Multitaper Multitrait-multimethod...

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Time series

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stationary wavelets and wavelet decomposed neural networks) have gained favor. Multiscale (often referred to as multiresolution) techniques decompose a given time...

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Wavelet

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fractional wavelet transform based on fractional b-Splines. A Panorama on Multiscale Geometric Representations, Intertwining Spatial, Directional and Frequency...

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Society for Industrial and Applied Mathematics

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since 1991 SIAM Journal on Applied Dynamical Systems (SIADS), since 2002 Multiscale Modeling and Simulation (MMS), since 2003 SIAM Journal on Imaging Sciences...

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List of numerical analysis topics

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equation using the discrete Laplace operator Stencil (numerical analysis) — the geometric arrangements of grid points affected by a basic step of the algorithm...

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Multifractal system

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spectrum D ( h ) {\displaystyle D(h)} . Rather, data analysis gives access to the multiscaling exponents ζ ( q ) ,   q ∈ R {\displaystyle \zeta (q),\...

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Fractal

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In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly...

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Neural radiance field

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Martin-Brualla, Ricardo; Srinivasan, Pratul P. (2021-04-07). "Mip-NeRF: {A} Multiscale Representation for Anti-Aliasing Neural Radiance Fields". arXiv:2103.13415...

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Multigrid method

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Achi Brandt (2002). "Multiscale scientific computation: review". In Timothy J. Barth; Tony Chan; Robert Haimes (eds.). Multiscale and multiresolution methods:...

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Heart rate variability

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entropy, sample entropy, multiscale entropy analysis, sample asymmetry and memory length (based on inverse statistical analysis). It is also possible to...

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Computational electromagnetics

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above merits, DGTD method is widely implemented for the transient analysis of multiscale problems involving large number of unknowns. MRTD is an adaptive...

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Surface roughness

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the spatial variability structure of surfaces, and inherently it is a multiscale property. It has different interpretations and definitions depending on...

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Robust statistics

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MR 2371990. Rosen, C.; Lennox, J.A. (October 2001), "Multivariate and multiscale monitoring of wastewater treatment operation", Water Research, 35 (14):...

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Persistent homology group

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In persistent homology, a persistent homology group is a multiscale analog of a homology group that captures information about the evolution of topological...

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Discrete wavelet transform

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used for interlacing in the Portable Network Graphics (PNG) format, is a multiscale model of the data which is similar to a DWT with Haar wavelets. Unlike...

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Center manifold

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because interesting behavior takes place on the center manifold and in multiscale mathematics because the long time dynamics of the micro-scale often are...

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Tomography

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discrete model of tomography Radon transform Tomographic reconstruction Multiscale Tomography Voxels Herman, Gabor T. (2009). Fundamentals of Computerized...

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Dynamic time warping

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Meinard Müller, Henning Mattes, and Frank Kurth (2006). An Efficient Multiscale Approach to Audio Synchronization. Proceedings of the International Conference...

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