We propose a sampling type method to image scatterer in an electromagnetic waveguide. The waveguide terminates at one end and the measurements are on other far field. imaging function is based integrating known over measurement surface directly. design analysis of such factorization data operator given by measurements. We show that peaks inside scatterer, where coer...

The Nyström method is an efficient technique to generate low-rank matrix approximations and is used in several large-scale learning applications. A key aspect of this method is the procedure according to which columns are sampled from the original matrix. In this work, we explore the efficacy of a variety of fixed and adaptive sampling schemes. We also propose a family of ensemble-based samplin...

Since the publication of our recently developed mode-pursing sampling (MPS) method, questions have been asked on its performance as compared with traditional global optimization methods such as genetic algorithm (GA), and when to use MPS as opposed to GA. This work aims to provide an answer to these questions. Similarities and distinctions between MPS and GA are presented. Then MPS and GA are c...

Sampling is a powerful and popular way to tackle problems for which exact inference is computationally intractable. We propose a novel sampling scheme based on Low Density Parity Check (LDPC) codes which works for any distribution over a finite alphabet. Compared to existing methods such as Markov Chain Monte Carlo (MCMC) Methods, the proposed scheme offers a different trade-off among various f...