Current Research Interests

My current research interest is in the emerging area of sparse representations, sparse recovery, and compressed sensing. Here, one seeks to acquire a small number of digital measurements (sampling) of a sparse signal directly in compressed format (often achieved by a series of random linear projections) and then relies on sophisticated reconstruction algorithms such as basis pursuit or matching pursuit to recover the signal from these measurements. Our research in this area primarily involves

• exploring various theoretical aspects and mathematical explanations of the framework
• extending the CS framework: joint-sparsity models, matrix recovery, matrix completion, robust principal component analysis
• developing practical large-scale compressed sensing algorithms with fast, efficient, and hardware-friendly implementations
• novel applications of sparse recovery to process natural speech/audio/image/video signals as well as documents and social network data sets
• hyperspectral imaging, synthetic aperture radar imaging

Current Ph.D. Students

• Xiaoxia Sun, Ph.D. candidate, co-advised with Prof. Nasser M. Nasrabadi
• Shuai Huang, Ph.D. candidate
• Dung N. Tran, Ph.D. candidate, co-advised with Prof. Sang Peter Chin
• Sonia Joy, Ph.D. candidate
• Xiang Xiang, Ph.D. candidate
• Tao Xiong, Ph.D. candidate, co-advised with Prof. Sang Peter Chin
• LuoLuo Liu, Ph.D. candidate
• Akshay Rangamani, Ph.D. candidate, co-advised with Prof. Sang Peter Chin
• Arun Nair, Ph.D. candidate

Alumni

• Minh Dao, Ph.D. 08/2015.
  Dissertation: Structured Sparse Representation with Low-Rank Interference Algorithms and Applications
  Post-Doc, Army Research Laboratory, Adelphi, MD, USA.
• Yuanming Suo, Ph.D. 08/2015.
  Dissertation: Structured Dictionary Learning and its Applications in Neural Recording
  Associate, McKinsey, New York, NY, USA.
• Dzung T. Nguyen, Ph.D. 08/2012.
  Dissertation: Low-Rank Approximation and Sparse Recovery for Visual Data Reconstruction
  Research Scientist, Fossil Group Inc., Dallas, TX, USA.
• Nam H. Nguyen, Ph.D. 05/2012.
  Dissertation: On Exploiting Low-dimensional Structure in Data Recovery and Data Approximation
  Research Associate, MIT Department of Mathematics, Cambridge, MA, USA.
• Yi Chen, Ph.D. 05/2012.
  Dissertation: Sparse Representation for Target Detection and Classification in Hyperspectral Imagery
  Research Scientist, Google Inc., Menlo Park, CA, USA.
• Thong T. Do, Ph.D. 05/2010.
  Dissertation: Practical Algorithms for Compressive Sensing and their Applications to Multimedia Processing
  Current Position: Co-Founder | Managing Director, ADATAO, Inc., Mountain View, CA, USA.
• Iman A. El-Shehaby, Ph.D. 05/2009.
  Dissertation: Local Computation and Estimation of Wavelet Coefficients in the Dual-Tree Complex Wavelet Transform and Its Applications
  
• Lijie Liu, Ph.D. 05/2008.
  Dissertation: On Filter Bank and Transform Design with the Lifting Scheme
  Current Position: Senior Quantitative Analyst, CIBC, Toronto, Canada.
• Carlos Salazar, Ph.D. 05/2007.
  Dissertation: Computationally Scalable Spatial Resizing of DCT Domain Compressed Images and Video
  Current Position: Manager, National Security Agency (NSA), Fort Meade, MD, USA.
• Wei Dai, Ph.D. 05/2005.
  Dissertation: Adaptive Block-based Decomposition with Pre-/Post-Filtering
  Current Position: Member of Technical Staff, FastVDO LLC, Columbia, MD, USA.
• Jie Liang, Ph.D. 12/2003.
  Dissertation: Filter Bank Design for Image/Video Compression and Digital Communications
  Current Position: Professor, School of Engineering Science, Simon Fraser University, Burnaby, BC, Canada.
• Chengjie Tu, Ph.D. 12/2003.
  Dissertation: Pre-/Post-Filtering and Context Modeling for DCT Based Block Coding Systems
  Technical Lead, Uber Advanced Technologies Center, Pittsburgh, PA, USA.