We propose a novel Rayleigh quotient based sparse quadratic dimension reduction method-named QUADRO (Quadratic Dimension Reduction via Rayleigh Optimization)-for analyzing high-dimensional data. Unlike in the linear setting where Rayleigh quotient optimization coincides with classification, these two problems are very different under nonlinear settings. In this paper, we clarify this difference...

This article develops a cloud-based protocol for constrained quadratic optimization problem involving multiple parties, each holding private data. The is based on the projected gradient ascent Lagrange dual and exploits partially homomorphic encryption secure communication techniques. Using formal cryptographic definitions of indistinguishability, shown to achieve computational privacy. We show...

the presented study shows a simple way for optimization of extrusion process, which was used for deterioration of cyanogenic glycosides – antinutritive components of linseed, with minimum damage of essential alpha-linolenic acid (ala) at the same time. extrusion of the material was done on a laboratory single screw extruder. content of hydrogen cyanide (hcn) as a measurement of cyanogenic glyco...

in this paper, we consider a stochastic time-cost tradeoff problem (tctp) in pert networks for project management, in which all activities are subjected to a linear cost function and assumed to be exponentially distributed. the aim of this problem is to maximize the project completion probability with a pre-known deadline to a predefined probability such that the required additional cost is min...