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Differentiable Histogram with Hard-Binning

Machine Learning 2020-12-14 v1 Artificial Intelligence

Abstract

The simplicity and expressiveness of a histogram render it a useful feature in different contexts including deep learning. Although the process of computing a histogram is non-differentiable, researchers have proposed differentiable approximations, which have some limitations. A differentiable histogram that directly approximates the hard-binning operation in conventional histograms is proposed. It combines the strength of existing differentiable histograms and overcomes their individual challenges. In comparison to a histogram computed using Numpy, the proposed histogram has an absolute approximation error of 0.000158.

Keywords

Cite

@article{arxiv.2012.06311,
  title  = {Differentiable Histogram with Hard-Binning},
  author = {Ibrahim Yusuf and George Igwegbe and Oluwafemi Azeez},
  journal= {arXiv preprint arXiv:2012.06311},
  year   = {2020}
}

Comments

Accepted at Blacks in AI Workshop, NeurIPS 2020

R2 v1 2026-06-23T20:54:01.834Z