PhD Thesis Defense: Nareddy Kartheek Kumar Reddy

The recovery of a signal/image from compressed measurements involves formulating an optimization problem and solving it using an efficient algorithm. The optimization objective involves data fidelity, which is responsible for ensuring conformity of the reconstructed signal to the measurement, and a regularization term to enforce desired priors on the signal. More recently, the optimization based solvers have been replaced by deep neural networks.

This thesis considers three aspects of inverse problems in computational imaging: (i) Choice of data-fidelity term for compressed-sensing image recovery; (ii) Non-convex regularizers in the context of linear inverse problems; and (iii) Explainable deep-unfolded networks and the effect of quantization of model parameters.