April 01, 2019

An O(NlogN) algorithm for clustering mixture of two Gaussians

  • Jalali S.
  • Kushnir D.
  • Saniee I.

Mixtures of Gaussians are ubiquitous for modeling high dimensional data. In this paper we tackle the problem of clustering to recover the assignment of points to different Gaussians. We show that in the 2-Gaussian mixture a very efficient algorithm can be used to cluster the data in 1D while using only a handful of random projections to recover the clusters with high accuracy. We provide rigorous probabilistic analysis and guarantees on the error that can be achieved by our algorithm as well as the number of projection required. Our analysis is validated with empirical results in which our algorithm is shown to perform within the provided bounds with running time that is linear in the dimension and number of data points.

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Recent Publications

May 01, 2020

A Packaged 0.01-26-GHz Single-Chip SiGe Reflectometer for Two-Port Vector Network Analyzers

  • Chung H.
  • Ma Q.
  • Rebeiz G.
  • Sayginer M.

© 1963-2012 IEEE. This article presents a packaged SiGe BiCMOS reflectometer for 0.01-26-GHz two-port vector network analyzers (VNAs). The reflectometer chip is composed of a resistive bridge coupler and two wideband heterodyne receivers for coherent magnitude and phase detection. In addition, a high-linearity receiver channel is designed to accommodate 20 ...

August 01, 2019

Protecting photonic quantum states using topology

  • Blanco-Redondo A.

The use of topology to protect quantum information is well-known to the condensed-matter community and, indeed, topological quantum computing is a bursting field of research and one of the competing avenues to demonstrate that quantum computers can complete certain problems that classical computers cannot. In photonics, however, we are only ...

May 01, 2019

Digital networks at the nexus of productivity growth

  • Kamat S.
  • Prakash S.
  • Saniee I.
  • Weldon M.

This paper takes a fresh look at the debate over the relationship between digital technology and productivity. The argument of economic historian Robert J. Gordon is that digital technology will not lead to increases in productivity such as we saw in the last century, based on his analysis of the ...