Research summary, CV and some important papers of Namrata Vaswani

Overall Research Summary

Research Summary - Recursive reconstruction of sparse signal seqeunces

CV

Overview talk on Recursive and Causal Sparse Reconstruction (invited talk at the INFORMS special session on Compressed Sensing and at UCSD, October 2009)

Some key papers: 

• LS-CS-residual  (IEEE Trans. Sig. Proc., Aug 2010)
• The LS-CS-residual idea and extensive simulations
• Bound for CS-residual error and comparison with simple CS error bound
• Proof of stability (over time) of support errors and hence of reconstruction errors, under mild assumptions
• "stability": time-invariant bound on the support errors and hence on the reconstruction errors
  
• Modified-CS  (IEEE Trans. Sig. Proc., Sept 2010)
• The modified-CS idea, extensive simulations and proof-of-concept applications in MRI/video
• Proof of exact reconstruction under much weaker assumptions on the measurement matix than those needed for simple CS (means: need much fewer measurements)
• Regularized modified-CS idea (use the prior knowledge of signal values along with support knowledge)
• Stability (over time) of Modified-CS and LS-CS for Recursive Causal Sparse Reconstruction (ArXiv: 1006.4818)
• Stability (over time) of modified-CS and of LS-CS for the case when support additions/removals are allowed to occur at every time t.
  

All publications

Dynamic MRI reconstruction