# Stochastic inertial primal-dual algorithms

arXiv: https://arxiv.org/abs/1507.00852 · HTML: https://mlsanity.com/paper/1507.00852/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 3 Jul 2015.

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

- [Stochastic Heavy Ball with Polyak Step Size and Armijo Line Search: A General Convergence Analysis](https://mlsanity.com/paper/2609.36668/) (2026)

## Abstract (arXiv)

We propose and study a novel stochastic inertial primal-dual approach to solve composite optimization problems. These latter problems arise naturally when learning with penalized regularization schemes. Our analysis provide convergence results in a general setting, that allows to analyze in a unified framework a variety of special cases of interest. Key in our analysis is considering the framework of splitting algorithm for solving a monotone inclusions in suitable product spaces and for a specific choice of preconditioning operators.