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- Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, Alan S. Willsky
- Foundations of Computational Mathematics
- 2012

In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than theâ€¦ (More)

- Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Parrilo, Alan S. Willsky
- SIAM Journal on Optimization
- 2011

Suppose we are given a matrix that is formed by adding an unknown sparse matrix to an unknown low-rank matrix. Our goal is to decompose the given matrix into its sparse and low-rank components. Suchâ€¦ (More)

- Venkat Chandrasekaran, Michael I. Jordan
- Proceedings of the National Academy of Sciencesâ€¦
- 2013

Modern massive datasets create a fundamental problem at the intersection of the computational and statistical sciences: how to provide guarantees on the quality of statistical inference given boundsâ€¦ (More)

- Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Parrilo, Alan S. Willsky
- 2009 47th Annual Allerton Conference onâ€¦
- 2009

We consider the following fundamental problem: given a matrix that is the sum of an unknown sparse matrix and an unknown low-rank matrix, is it possible to exactly recover the two components? Such aâ€¦ (More)

Graphical models provide a convenient representation for a broad class of probability distributions. Due to their powerful and sophisticated modeling capabilities, such models have found numerousâ€¦ (More)

- Parikshit Shah, Venkat Chandrasekaran
- 2011 49th Annual Allerton Conference onâ€¦
- 2011

We introduce an algorithm known as Manifold Iterative Projection to solve the problem of recovering an unknown high-dimensional signal contained in a low-dimensional sub-manifold from a few linearâ€¦ (More)

- Venkat Chandrasekaran, Michael B. Wakin, Dror Baron, Richard G. Baraniuk
- IEEE Trans. Information Theory
- 2009

We study the representation, approximation, and compression of functions in M dimensions that consist of constant or smooth regions separated by smooth (M âˆ’ 1)-dimensional discontinuities. Examplesâ€¦ (More)

- Venkat Chandrasekaran, Jason K. Johnson, Alan S. Willsky
- IEEE Transactions on Signal Processing
- 2008

Graphical models provide a powerful formalism for statistical signal processing. Due to their sophisticated modeling capabilities, they have found applications in a variety of fields such as computerâ€¦ (More)

- Ying Liu, Venkat Chandrasekaran, Anima Anandkumar, Alan S. Willsky
- IEEE Transactions on Signal Processing
- 2010

While loopy belief propagation (LBP) performs reasonably well for inference in some Gaussian graphical models with cycles, its performance is unsatisfactory for many others. In particular for someâ€¦ (More)

- Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, Alan S. Willsky
- 2010 48th Annual Allerton Conference onâ€¦
- 2010

We study a class of ill-posed linear inverse problems in which the underlying model of interest has simple algebraic structure. We consider the setting in which we have access to a limited number ofâ€¦ (More)