English

Almost-lossless compression of a low-rank random tensor

Information Theory 2022-10-25 v2 Machine Learning Signal Processing math.IT

Abstract

In this work, we establish an asymptotic limit of almost-lossless compression of a random, finite alphabet tensor which admits a low-rank canonical polyadic decomposition.

Cite

@article{arxiv.2210.04041,
  title  = {Almost-lossless compression of a low-rank random tensor},
  author = {Minh Thanh Vu},
  journal= {arXiv preprint arXiv:2210.04041},
  year   = {2022}
}

Comments

This version fixes typos and adds some remarks

R2 v1 2026-06-28T03:04:02.186Z