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Added subgradient definition and properties - #1

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ISIPINK wants to merge 2 commits into
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subgradient
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ISIPINK wants to merge 2 commits into
Bregmanfrom
subgradient

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@ISIPINK ISIPINK commented Sep 15, 2026

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Builds on PR LeanMachineLearning#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 15, 2026
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