Many machine learning data sets are embedded in high-dimensional spaces, and require some type of dimensionality reduction to visualize or analyze the data. In this paper, we propose a novel framework for multiscale dimensionality reduction based on diffusion wavelets. Our approach is completely data driven, computationally efficient, and able to directly process non-symmetric neighborhood rela...

This paper presents a construction of compactly supported biorthogonal spline wavelets in L2(IR ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets from box splines of increasing smoothness is provided. Several examples are given to illustrate the method. Key-Words:multivariate biorthogonal wavelets, multivariate wavelets, box splines,...

We introduce an object recognition system, based on generalized Gabor wavelets, called banana wavelets. In addition to the qualities frequency and orientation, banana wavelets have the attributes curvature and size. Banana wavelets can be metrically organized, a sparse and ef-cient representation of objects is learned utilizing this metric.

Background : Ruptured cerebral aneurysms (ICAs) are the most common non-traumatic cause of subarachnoid hemorrhage (SAH) that is associated with life threatening complications such as Vasospasm, Infarction, and Hydrocephalus (HCP). The active participation of macrophage/monocyte-mediated inflammatory response in the pathogenesis of cerebral aneurysm as labeled with Monocyte ChemoattractantProte...

This paper deals with Chebyshev wavelets. We analyze their properties computing Fourier transform. Moreover, we discuss the differential of wavelets due to connection coefficients. Uniform convergence and approximation error allow us provide rigorous proofs. In particular, expand mother wavelet in Taylor series an application both fractional calculus fractal geometry. Finally, give two examples...

effect of controlled atmospheres (cas) at various concentrations of co2, n2 and o2 on the lethal times of tribolium castaneum and trogoderma granarium was investigated at 20 and 30 ºc. experiments were performed using a recirculatory multi-flask apparatus. the results revealed that, the shortest times (0.1, 0.3 and 0.9 day for adults, larvae and pupae, respectively) required to obtain 50% morta...