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» Manifold-adaptive dimension estimation
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STOC
2010
ACM
195views Algorithms» more  STOC 2010»
15 years 1 months ago
Efficiently Learning Mixtures of Two Gaussians
Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We provide a polynomial-time algorithm for this proble...
Adam Tauman Kalai, Ankur Moitra, and Gregory Valia...
TSP
2008
117views more  TSP 2008»
14 years 9 months ago
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples
The detection and estimation of signals in noisy, limited data is a problem of interest to many scientific and engineering communities. We present a mathematically justifiable, com...
R. R. Nadakuditi, A. Edelman
CORR
2010
Springer
114views Education» more  CORR 2010»
14 years 9 months ago
Settling the Polynomial Learnability of Mixtures of Gaussians
Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We give an algorithm for this problem that has running ...
Ankur Moitra, Gregory Valiant
CSDA
2006
102views more  CSDA 2006»
14 years 9 months ago
An improved Akaike information criterion for state-space model selection
Following the work of Hurvich, Shumway, and Tsai (1990), we propose an "improved" variant of the Akaike information criterion, AICi, for state-space model selection. The...
Thomas Bengtsson, Joseph E. Cavanaugh
CORR
2007
Springer
144views Education» more  CORR 2007»
14 years 9 months ago
Distributing the Kalman Filter for Large-Scale Systems
This paper derives a near optimal distributed Kalman filter to estimate a large-scale random field monitored by a network of N sensors. The field is described by a sparsely con...
Usman A. Khan, José M. F. Moura