# Empirically Accelerating Scaled Gradient Projection Using Deep Neural Network For Inverse Problems In Image Processing

## TL;DR

This paper introduces a deep neural network-based iterative algorithm that accelerates traditional optimization methods for large-scale inverse problems in image processing, ensuring convergence and improved empirical performance.

## Contribution

It presents a novel DNN approach to learn parameters for the scaled gradient projection method, enhancing convergence speed over conventional algorithms.

## Key findings

- Significantly improved convergence rate in simulations.
- Effective acceleration for various large-scale inverse problems.
- Demonstrated convergence and empirical performance benefits.

## Abstract

Recently, deep neural networks (DNNs) have shown advantages in accelerating optimization algorithms. One approach is to unfold finite number of iterations of conventional optimization algorithms and to learn parameters in the algorithms. However, these are forward methods and are indeed neither iterative nor convergent. Here, we present a novel DNN-based convergent iterative algorithm that accelerates conventional optimization algorithms. We train a DNN to yield parameters in scaled gradient projection method. So far, these parameters have been chosen heuristically, but have shown to be crucial for good empirical performance. In simulation results, the proposed method significantly improves the empirical convergence rate over conventional optimization methods for various large-scale inverse problems in image processing.