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

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Some Smooth Divergences for  \(\ell _{1}-\) Approximations

  • 会议论文

  • 发表日期：

    2026年

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  • Pierre Bertrand,
  • Wolfgang Stummer

摘要

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