Current Research Interests

A large part of my research involves bringing in (artificial) intelligence into data (particularly, image data) acquisition. In this era of BIG data, one should acquire data smartly and measure only what is really needed for the applications at hand. This is a huge motivation for compressed sensing, i.e. acquisition of data directly in compressed format for improvement of acquisition speed and reduction of resources for acquisition. Such resources could include time, radiation, battery power, electricity, etc. Keeping this philsophy in mind, my research interests include the following. A brief presentation regarding some of these topics can be found here.

Theoretical analysis of neural networks:

Analysis for inverse problems
Unrolling in neural networks
Universal approximation theorems

Compressed Sensing and Sparse Regression:

Reconstruction algorithms
Theoretical performance error bounds
Issues due to erroneously specified sensing matrices/ representation matrices
Effect of different noise models
Design of compressed sensing matrices
Low rank matrix completion, Robust PCA

Image Reconstruction:

Computed tomography
Cryo-electron microscopy
MRI
Diffusion MRI

Image/Video Restoration: This involves undoing the effect of natural degradation induced in images during or after acquisition. This includes tasks such as the following:

Denoising
Color image demosaicing
Deblurring
Inpainting
Source separation
Underwater image and video enhancement/restoration/motion correction
Video stabilization
Deflickering, dejittering and deblotching of vintage videos

Group Testing/Pooled Testing:
- Estimation algorithms
- Performance bounds and phase transition analysis
- Applications in data science
Graph Signal Processing:
- Graph learning from data
- Graph node sub-sampling
Probability Density Estimation
Image and video compression
Sparse representations and dictionary learning
Automated Turing Tests

Take a look at our publications, as well as my DBLP record and Google Scholar page. Here below is a word-cloud (obtained from the titles of my research papers from IITB) describing my research interests: