Research

Our current research lies in the general area of sensing, analysis and processing of data, drawing on tools from information theory, information processing and machine learning. Our research covers both the theoretical foundations as well as practical applications in diverse areas ranging from compressive sensing, signal, image and video processing, and big data inference. Representative research topics and publications include:

Compressive Sensing and Compressive Information Processing

  • J. F. C. Mota, N. Deligiannis, A. C. Sankaranarayanan, V. Cevher, M. R. D. Rodrigues. Adaptive-rate sparse signal reconstruction with application in compressive background subtraction. (available in arxiv)
  • J. F. C. Mota, N. Deligiannis and M. R. D. Rodrigues. Compressed sensing with side information: Geometrical interpretation and performance bounds. (available in arxiv)
  • F. Renna, L. Wang, X. Yuan, J. Yang, G. Reeves, A. R. Calderbank, L. Carin and Miguel R. D. Rodrigues. Classification and reconstruction of high-dimensional signals from low-dimensional noisy features in the presence of side information. (available in arxiv)
  • H. Reboredo, F. Renna, A. R. Calderbank and M. R. D. Rodrigues. Compressive classification of a mixture of Gaussians: Analysis, designs and geometrical interpretation. (available in arxiv)
  • F. Renna, A. R. Calderbank, L. Carin and M. R. D. Rodrigues. Reconstruction of signals drawn from a Gaussian mixture from noisy compressive measurements. IEEE Transactions on Signal Processing, vol. 62, pp. 2265-2277, May 2014.

Information Theory and Sensing

  • W. R. Carson, M. Chen, M. R. D. Rodrigues, A. R. Calderbank, and L. Carin. Communications-inspired projection design with application to compressive sensing. SIAM Journal on Imaging Sciences, vol. 5, pp. 1185-1212, October 2012.
  • L. Wang, A. Razi, M. R. D. Rodrigues, A. R. Calderbank and L. Carin. Nonlinear information- theoretic compressive measurement design. International Conference on Machine Learning (ICML), Beijing, China, June 2014.
  • L. Wang, D. Carlson, M. R. D. Rodrigues, D. Wilcox, A. R. Calderbank and L. Carin. Designed measurements for vector count data. Advances in Neural Information Processing Systems (NIPS), Lake Tahoe, Nevada, USA, December 2013.
  • M. Chen, W. R. Carson, M. R. D. Rodrigues, A. R. Calderbank, and L. Carin. Communications inspired linear discriminant analysis. International Conference on Machine Learning (ICML), Edinburgh, UK, June 2012.

Information Theory and Machine Learning

  • M. Nokleby, M. R. D. Rodrigues, and A. R. Calderbank. Discrimination on the Grassmann manifold: Fundamental limits of subspace classifiers. IEEE Transactions on Information Theory, to appear.

Information Theory and Estimation Theory

  • L. Wang, D. Carlson, M. R. D. Rodrigues, A. R. Calderbank and L. Carin. A Bregman matrix and the gradient of mutual information for vector Poisson and Gaussian channels. IEEE Transactions on Information Theory, vol. 60, pp. 2611-2629, May 2014.

Information Theory and Communications

  • A. G. C. P. Ramos and M. R. D. Rodrigues. Fading channels with arbitrary inputs: Asymptotics of the constrained capacity and information and estimation measures. IEEE Transactions on Information Theory, vol. 60, no. 9, pp. 5653-5672, September 2014.
  • M. R. D. Rodrigues. Multiple-antenna fading channels with arbitrary inputs: Characterization and optimization of the information rate. IEEE Transactions on Information Theory, vol. 60, pp. 569-585, January 2014.
  • F. Pérez-Cruz, M. R. D. Rodrigues and S. Verdú. MIMO Gaussian channels with arbitrary inputs: Optimal precoding and power allocation. IEEE Transactions on Information Theory, vol. 56, pp. 1070-1084, March 2010.

Information Theory and Security

  • H. Reboredo, J. Xavier, and M. R. D. Rodrigues. Filter design with secrecy constraints: The MIMO Gaussian wiretap channel. IEEE Transactions on Signal Processing, vol. 61, pp. 3799- 3814, August 2013.
  • M. Bloch, J. Barros, M. R. D. Rodrigues and S. W. McLaughlin. Wireless information-theoretic security. IEEE Transactions on Information Theory - Special Issue on Information-Theoretic Security, vol. 54, pp. 2515-2534, June 2008.