# A Unifying Theory of Exactness of Linear Penalty Functions

arXiv: https://arxiv.org/abs/1802.00404 · HTML: https://mlsanity.com/paper/1802.00404/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Feb 2018.

## Built on by (most cited first, 1 of 1)

- [Global Minima by Penalized Full-dimensional Scaling](https://mlsanity.com/paper/2407.16645/) (2024)

## Abstract (arXiv)

In this article we develop a theory of exact linear penalty functions that generalizes and unifies most of the results on exact penalization existing in the literature. We discuss several approaches to the study of both locally and globally exact linear penalty functions, and obtain various necessary and sufficient conditions for the exactness of a linear penalty function. We pay more attention than usual to necessary conditions that allows us to deeper understand the exact penalty technique.