A numerical method is proposed to approximate the inverse of a general bi-Lipschitz nonlinear dimensionality reduction mapping, where the forward and consequently the inverse mappings are only explicitly defined on a discrete dataset. A radial basis function (RBF) interpolant is used to independently interpolate each component of the high-dimensional representation of the data as a function of ...

Background: Calcineurin inhibitors (CNI) have significantly reduced the incidence of acute rejection. Nephrotoxicity however may contribute to long-term allograft dysfunction. Mycophenolate mofetil (MMF) may allow cyclosporine (CsA) dose reduction without increasing the risk of rejection. Methods: In seventy-eight living unrelated kidney transplant patients with renal dysfunction, we studi...

soil conservation is one of the most important regulative functions of natural ecosystems. this function is of high importance in taleghan watershed due to high erosion quantity and sediment accumulation in taleghan dam reservoir. soil loss reduction, sedimentation control and fertility conservation were considered as different aspects of soil conservation. effect of land use and vegetation cov...

Nonlinear Dimensionality Reduction is an important issue in many machine learning areas where essentially low-dimensional data is nonlinearly embedded in some high-dimensional space. In this paper, we show that the existing Laplacian Eigenmaps method suffers from the distortion problem, and propose a new distortion-free dimensionality reduction method by adopting a local linear model to encode ...

Graph-based dimensionality reduction (DR) methods have 6 been applied successfully in many practical problems such as face 7 recognition, where graph plays a crucial role with the aim of modeling the 8 data distribution or structure. However, the ideal graph is difficult to be 9 known in practice. Usually, one needs to construct graph empirically 10 according to various motivations, priors or a...

In this paper, the formal structure of Penrose’s gravitationally induced reduction wave function mechanism is analyzed. It shown that pushing argument forward leads to interpretation quantum coherence in microscopic systems as an observable signature violation general covariance. We discuss potential avenues avoid conclusion, among them emergent mechanics and super-determinism.