# A survey of hidden convex optimization

## TL;DR

This survey reviews methods to uncover hidden convex structures in nonconvex optimization problems, highlighting their importance and discussing open challenges in the field.

## Contribution

It systematically summarizes three key approaches for revealing convexity in nonconvex problems and identifies ten open research questions.

## Key findings

- Three main methods for hidden convexification are summarized.
- Highlights the significance of convex structures in nonconvex problems.
- Raises ten open problems for future research.

## Abstract

Motivated by the fact that not all nonconvex optimization problems are difficult to solve, we survey in this paper three widely-used ways to reveal the hidden convex structure for different classes of nonconvex optimization problems. Finally, ten open problems are raised.