# HMC, an Algorithms in Data Mining, the Functional Analysis approach

arXiv: https://arxiv.org/abs/2102.02691 · HTML: https://mlsanity.com/paper/2102.02691/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 0 of its 9 references that are in the map.
- First posted on arXiv 4 Feb 2021.

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

- [On Convergence of the Alternating Directions SGHMC Algorithm](https://mlsanity.com/paper/2405.13140/) (2024)

## Abstract (arXiv)

The main purpose of this paper is to facilitate the communication between the Analytic, Probabilistic and Algorithmic communities. We present a proof of convergence of the Hamiltonian (Hybrid) Monte Carlo algorithm from the point of view of the Dynamical Systems, where the evolving objects are densities of probability distributions and the tool are derived from the Functional Analysis.