Translation-Equivariant Self-Supervised Learning for Pitch Estimation with Optimal Transport

Bernardo Torres, Alain Riou, Gaël Richard, Geoffroy Peeters
8/2/2025
cs.SDcs.AIcs.LG

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Abstract

In this paper, we propose an Optimal Transport objective for learning one-dimensional translation-equivariant systems and demonstrate its applicability to single pitch estimation. Our method provides a theoretically grounded, more numerically stable, and simpler alternative for training state-of-the-art self-supervised pitch estimators.

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@article{torres2025translationequivariant,
  title  = {Translation-Equivariant Self-Supervised Learning for Pitch Estimation with Optimal Transport},
  author = {Bernardo Torres and Alain Riou and Gaël Richard and Geoffroy Peeters},
  year   = {2025},
  eprint = {2508.01493},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2508.01493v1}
}

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