5 papers
Second Degree Model for Multi-Compression and Recovery of Distributed Signals
Pablo Soto-Quiros, Anatoli Torokhti, Stanley J. Miklavcic
We study the problem of multi-compression and reconstructing a stochastic signal observed by several independent sensors (or compressors) that transmit compressed information to a…
Extended Principal Component Analysis
Pablo Soto-Quiros, Anatoli Torokhti
Principal Component Analysis (PCA) is a transform for finding the principal components (PCs) that represent features of random data. PCA also provides a reconstruction of the PCs t…
Interpolation Estimator for Infinite Sets of Random Vectors
Anatoli Torokhti
We propose an approach to the estimation of infinite sets of random vectors. The problem addressed is as follows. Given two infinite sets of random vectors, find a single estimator…
An optimal linear filter for estimation of random functions in Hilbert space
Phil Howlett, Anatoli Totokhti
Let ${\mbox{$\mbox{\boldmath }$}}$ be a square-integrable, zero-mean, random vector with observable realizations in a Hilbert space , and let ${\mbox{$\mbox{\boldmath }$}}…
Best approximations of non-linear mappings: Method of optimal injections
Anatoli Torokhti, Pablo Soto-Quiros
While the theory of operator approximation with any given accuracy is well elaborated, the theory of {best constrained} constructive operator approximation is still not so well dev…