Add missing fraction

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2025-06-03 11:17:59 +02:00
parent 7545b870c9
commit 067db624fb
2 changed files with 9 additions and 1 deletions

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@ -102,7 +102,7 @@
\begin{itemize} \begin{itemize}
\item An estimate $\z_i^k$ of its optimal position $\z_i^*$, \item An estimate $\z_i^k$ of its optimal position $\z_i^*$,
\item An estimate $\s_i^k$ of the aggregation function $\sigma(\z^k) = \frac{1}{N} \sum_{j=1}^{N} \phi_j(\z_j^k)$, \item An estimate $\s_i^k$ of the aggregation function $\sigma(\z^k) = \frac{1}{N} \sum_{j=1}^{N} \phi_j(\z_j^k)$,
\item An estimate $\v_i^k$ of the gradient with respect to the second argument of the loss $\sum_{j=1}^{N} \nabla_{[\sigma(\z^k)]} l_j(\z_j^k, \sigma(\z^k))$. \item An estimate $\v_i^k$ of the gradient with respect to the second argument of the loss $\frac{1}{N} \sum_{j=1}^{N} \nabla_{[\sigma(\z^k)]} l_j(\z_j^k, \sigma(\z^k))$.
\end{itemize} \end{itemize}
The step is based on the centralized gradient method using the local estimates: The step is based on the centralized gradient method using the local estimates:

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\begin{remark}
Transformative rule: Two purposes of a work:
\begin{itemize}
\item Original of the work (e.g., creative work)
\item Training
\end{itemize}
It is allowed if the original and training reason is different.
\end{remark}