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Deep Conditional Measure Quantization

Machine Learning 2024-02-12 v2 Artificial Intelligence Machine Learning Probability

Abstract

Quantization of a probability measure means representing it with a finite set of Dirac masses that approximates the input distribution well enough (in some metric space of probability measures). Various methods exists to do so, but the situation of quantizing a conditional law has been less explored. We propose a method, called DCMQ, involving a Huber-energy kernel-based approach coupled with a deep neural network architecture. The method is tested on several examples and obtains promising results.

Cite

@article{arxiv.2301.06907,
  title  = {Deep Conditional Measure Quantization},
  author = {Gabriel Turinici},
  journal= {arXiv preprint arXiv:2301.06907},
  year   = {2024}
}