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

Pierre Bertrand; Wolfgang Stummer

doi:10.1007/978-3-032-03918-7_37

paper

Some smooth divergences for $ℓ_{1} -$ approximations

arXiv:2511.00219 · doi:10.1007/978-3-032-03918-7_37

Abstract

For some smooth special case of generalized $I ¨ -$ divergences as well as of new divergences (called scaled shift divergences), we derive approximations of the omnipresent (weighted) $ℓ_{1} -$ distance and (weighted) $ℓ_{1} -$ norm.

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

Some smooth divergences for ℓ1​−approximations

Abstract

Some smooth divergences for $ℓ_{1} -$ approximations