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Ridgelets:a key to higher-dimensional intermittency?
Ridgelets higher-dimensional intermittency
2015/6/17
In dimensions two and higher, wavelets can efficiently represent only a small range of the full diversity of interesting behavior. In effect, wavelets are welladapted for pointlike phenomena, whereas ...
Monoscale Ridgelets for the Representation of Images with Edges
Edges Partitioning Local Fourier Transform (JPEG) Ridge functions Ridgelets Radon transform Nonlinear approximation
2015/6/17
In a previous paper [1], the author introduced a new system for representing multivariate functions, namely, the ridgelets. In a following article [3], ridgelets were shown to be optimal for represent...
Ridgelets:Estimating with Ridge Functions
Nonparametric regression ridgelets ridge functions Projection Pursuit Regression minimax decision theory Radon transform spatial inhomogeneities edges thresholding of ridgelet coefficients
2015/6/17
Feedforward neural networks, projection pursuit regression, and more generally, estimation via ridge functions have been proposed as an approach to bypass the curse of dimensionality and are now becom...
Ridgelets and Their Derivatives:Representation of Images with Edges
Ridgelets Derivatives Images with Edges
2015/6/17
This paper reviews the development of several recent tools from computational harmonic analysis. These new systems are presented under a coherent perspective, namely, the representation of bivariate f...