BIOGRAPHY
BROAD RESEARCH INTERESTS
Wavelets, Sparse Optimization Theory, Inverse Problems, and Data-driven learning methods
RESEARCH FOCUS/EXPERIENCE
Sparse optimization theory (popularly known as compressive sensing) lies at the interface of algebra and optimization. It aims to provide efficient representations of certain classes of linear systems through sparse (or economical) descriptions. Applications of this research area are far-reaching and span diverse fields, including medical imaging.
My current research interests lie in sparsity-driven optimization techniques and the mathematical aspects of deep learning, along with their applications to inverse problems. In particular, our work focuses on inverse problems arising in X-ray Computed Tomography (CT) and Electrical Impedance Tomography (EIT). My previous research, including my doctoral research, was directed toward wavelets and frame theory, with applications to image analysis.