English

Some smooth divergences for $\ell_{1}-$approximations

General Mathematics 2025-11-04 v1

Abstract

For some smooth special case of generalized φ\varphi-divergences as well as of new divergences (called scaled shift divergences), we derive approximations of the omnipresent (weighted) 1\ell_{1}-distance and (weighted) 1\ell_{1}-norm.

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Cite

@article{arxiv.2511.00219,
  title  = {Some smooth divergences for $\ell_{1}-$approximations},
  author = {Pierre Bertrand and Wolfgang Stummer},
  journal= {arXiv preprint arXiv:2511.00219},
  year   = {2025}
}

Comments

This (here-posted) preprint has not undergone any post-submission improvements or corrections. The (peer-reviewed, corrected, resubmitted, final) Version of Record of this contribution is published in Geometric Science of Information (GSI 2025), and is available online at https://link.springer.com/chapter/10.1007/978-3-032-03918-7_37

R2 v1 2026-07-01T07:16:28.536Z