My research interests are broadly in information theory, communications, and statistical inference. A list of my publications can be found here.
Here is a sample of my work:
Communication and Compression via Sparse Linear Regression.
Codes based on high-dimensional linear regression were recently introduced for communication over channels with additive Gaussian noise. In recent work, we have developed a low-complexity capacity-achieving decoder for these codes based on "approximate message passing".
We have also designed codes for lossy data compression using the sparse regression framework. These codes attain the optimal compression rate (the rate-distortion function) for Gaussian sources with computationally efficient encoding and decoding algorithms. We have also shown that the source and channel codes constructed above can be combined to yield fast, rate-efficient codes for several canonical models in network information theory.
- "Capacity-achieving Sparse Superposition Codes with Approximate Message Passing Decoding" [PDF] [Slides from ITA '15]
- Slides from talk: "Compression and Communication via Sparse Regression", SPCOM, IISc Bangalore, July 2014.
- "Lossy Compression via Sparse Linear Regression: Computationally Efficient Encoding and Decoding", IEEE Transactions on Information Theory, vol. 60, no. 6, pp. 3265-3278, June 2014. [PDF] [Slides from ITA '13]
- "Lossy Compression via Sparse Linear Regression: Performance under Minimum-distance Encoding", IEEE Transactions on Information Theory, vol. 60, no. 6, pp. 3254-3264, June 2014. [PDF] [Slides from ISIT '12]
- "Sparse Regression Codes for Multi-terminal Source and Channel Coding", Allerton 2012. [PDF] [Slides]
Codes for Deletion and Insertion Models.
The problem of synchronization from insertions and deletions is important in several applications, such as file sharing, online editing, and distributed storage. My work in this area includes a) designing low-complexity codes to efficiently correct synchronization errors, and b) characterizing fundamental limits, i.e., bounds on the capacity of channels that introduce deletions and insertions.
- "Low-Complexity Interactive Algorithms for Synchronization from Deletions, Insertions, and Substitutions", IEEE Transactions on Information Theory, vol. 61, no. 10, pp. 5670-5689, October 2015.
- "Achievable Rates for Channels with Deletions and Insertions", IEEE Transactions on Information Theory, vol. 59, no.11, pp. 6990-7013, November 2013. [PDF] [PDF]
- Slides from talk at the Banff Workshop on Interactive Information Theory, Jan. 2012.
- Slides from talk at ITW, Seville, Sep. 2013.
Feedback & Feed-forward.
Feedback is an important resource that is often available in both wireless and wired communication, but the question of how to optimally use feedback in a multi-terminal setting is not well understood. Broadly speaking, feedback induces correlation between the distributed transmitters and receivers in the network. We have developed coding schemes that effectively harness this correlation for multiple-access and broadcast channels with feedback. These schemes significantly improve on the best-known rates for these channels. In my Ph.D thesis, I also investigated the role of feed-forward in lossy data compression, for both point-to-point and multi-terminal models.
- Slides from talk at HP Labs, Palo Alto, March 2010.
- Slides from talk at ISIT, Austin, July 2010.
- Slides from thesis defense. (Source coding with feed-forward)
- "An Achievable Rate Region for the Broadcast Channel with Feedback", IEEE Transactions on Information Theory, vol. 59, no.10, pp. 6175-6191, October 2013. [PDF]
- "A New Achievable Rate Region for the Discrete Memoryless Multiple-Access Channel with Feedback", IEEE Transactions on Information Theory, vol. 57, pp. 8038-8054, December 2011. [PDF]
- "Source coding with feedforward: Rate-distortion theorems and error exponents for a general source", IEEE Transactions on Information Theory, vol. 53, pp. 2154-2179, June 2007. [PDF]
- "Achievable rates for multiple descriptions with feed-forward", IEEE Transactions on Information Theory, vol. 57, pp. 2270-2277, April 2011. [PDF]
Codes for Data Storage.
Many non-volatile memory technologies such as Phase Change Media and Flash use `rewrites', i.e., it is possible to write multiple times on a memory cell until a desirable output is obtained. Since rewrites consume extra power and shorten the lifetime of the memory, there is a basic trade-off: what is the storage capacity of the memory subject to a fixed rewrite budget? Further, how do we design codes that optimally exploit the rewrite option? In collaboration with researchers from the Memory Technologies group at IBM, we have developed effiicient coding schemes for some basic rewritable channel models.
- "Rewritable storage channels with hidden state", IEEE JSAC, vol. 32, no. 5, pp. 815-824, May 2014. [PDF]
- "Coding Strategies for the uniform noise rewritable channel with hidden state", ISIT 2012. [PDF] [Slides]