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» Lower Bounds for Sparse Recovery
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JMLR
2012
11 years 9 months ago
Minimax Rates of Estimation for Sparse PCA in High Dimensions
We study sparse principal components analysis in the high-dimensional setting, where p (the number of variables) can be much larger than n (the number of observations). We prove o...
Vincent Q. Vu, Jing Lei
ICASSP
2011
IEEE
12 years 10 months ago
Estimating Sparse MIMO channels having Common Support
We propose an algorithm (SCS-FRI) to estimate multipath channels with Sparse Common Support (SCS) based on Finite Rate of Innovation (FRI) sampling. In this setup, theoretical low...
Yann Barbotin, Ali Hormati, Sundeep Rangan, Martin...
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 8 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 4 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 6 months ago
Convex Relaxations for Subset Selection
We use convex relaxation techniques to produce lower bounds on the optimal value of subset selection problems and generate good approximate solutions. We then explicitly bound the...
Francis Bach, Selin Damla Ahipasaoglu, Alexandre d...