## 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.
- 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: