# Calculus rules of the generalized concave Kurdyka-L ojasiewicz property

arXiv: https://arxiv.org/abs/2110.03795 · HTML: https://mlsanity.com/paper/2110.03795/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 7 Oct 2021.

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

- [Robust Tensor Regression with Nonconvexity: Algorithmic and Statistical Theory](https://mlsanity.com/paper/2605.07448/) (2026)

## Abstract (arXiv)

In this paper, we propose several calculus rules for the generalized concave Kurdyka-L ojasiewicz (KL) property, which generalize Li and Pong's results for KL exponents. The optimal concave desingularizing function has various forms and may be nondifferentiable. Our calculus rules do not assume desingularizing functions to have any specific form nor differentiable, while the known results do. Several examples are also given to show that our calculus rules are applicable to a broader class of functions than the known ones.