In denoise method for nonlinear time series based on principle manifold learning, reduction targets are chosen at random, using linear method of singular value decomposition solving local tangent space coordinate, these caused efficiency and effect of denoise lower. To solve this problem, a new denoise method based on based on the fractal dimension, higher order statistics and local tangent spa...

We compute fourth sound for superfluids dual to a charged scalar and a gauge field in an AdS4 background. For holographic superfluids with condensates that have a large scaling dimension (greater than approximately two), we find that fourth sound approaches first sound at low temperatures. For condensates that a have a small scaling dimension it exhibits non-conformal behavior at low temperatur...

Recently, the authors of [1] have presented the Stokes-vector direct detection transceiver as a promising candidate for noncoherent short-haul fiber-optic communication. Their method was improved by MorsyOsman, et al. in [2] to exploit all four transmitted signal-space dimensions, but their proposed methods for detecting the fourth dimension all suffer various practical drawbacks. In this paper...

This paper proposes a novel approach to linear dimension reduction for regression using nonparametric estimation with positive definite kernels or reproducing kernel Hilbert spaces. The purpose of the dimension reduction is to find such directions in the explanatory variables that explain the response sufficiently: this is called sufficient dimension reduction. The proposed method is based on a...