English

Restricted Boltzmann Machine Assignment Algorithm: Application to solve many-to-one matching problems on weighted bipartite graph

Optimization and Control 2019-05-03 v2 Machine Learning Machine Learning

Abstract

In this work an iterative algorithm based on unsupervised learning is presented, specifically on a Restricted Boltzmann Machine (RBM) to solve a perfect matching problem on a bipartite weighted graph. Iteratively is calculated the weights wijw_{ij} and the bias parameters θ=(ai,bj)\theta = ( a_i, b_j) that maximize the energy function and assignment element ii to element jj. An application of real problem is presented to show the potentiality of this algorithm.

Keywords

Cite

@article{arxiv.1904.13111,
  title  = {Restricted Boltzmann Machine Assignment Algorithm: Application to solve many-to-one matching problems on weighted bipartite graph},
  author = {Francesco Curia},
  journal= {arXiv preprint arXiv:1904.13111},
  year   = {2019}
}

Comments

In this version is was update the thresholds determination

R2 v1 2026-06-23T08:53:07.209Z