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Added subgradient definition and properties - #251

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ISIPINK wants to merge 5 commits into
LeanMachineLearning:mainfrom
ISIPINK:subgradient
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ISIPINK wants to merge 5 commits into
LeanMachineLearning:mainfrom
ISIPINK:subgradient

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@ISIPINK ISIPINK commented Sep 15, 2026

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Builds on PR #250, ISIPINK/LML branch Bregman

Added subgradient definition and properties

Design Decisions

  • carrying V: subgradient is defined over V to avoid indicator functions ie $g \in \partial [y](f + I_V) \iff g \in \partial [V, y] f $
  • 0 ≤ D_[f](x, y, g_y) vs classical def: the classic def needs ordered group to be equivalent, other subgradients like Clarke, Dini are not needed for Online learning and arent taken in consideration here

@ISIPINK ISIPINK closed this Sep 21, 2026
@ISIPINK
ISIPINK deleted the subgradient branch September 21, 2026 18:30
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