Merge pull request #4 from liuktc/patch-4

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2025-05-15 19:15:20 +02:00
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@ -42,7 +42,7 @@
where: where:
\begin{itemize} \begin{itemize}
\item $\z = (\z_1, \dots, \z_N)$ with $\z_i \in \mathbb{R}^{n_i}$, \item $\z = (\z_1, \dots, \z_N)$ with $\z_i \in \mathbb{R}^{n_i}$,
\item $l_i: \mathbb{R}^{n_i} \rightarrow \mathbb{R}^d$ is the loss function of the agent $i$, \item $l_i: \mathbb{R}^{n_i} \times \mathbb{R}^d \rightarrow \mathbb{R}$ is the loss function of the agent $i$,
\item $\sigma(\z)$ is an aggregation function generically defined as $\sigma(\z) = \frac{1}{N} \sum_{i=1}^{N} \phi_i(\z_i)$, for some $\phi_i: \mathbb{R}^{n_i} \rightarrow \mathbb{R}^d$ \item $\sigma(\z)$ is an aggregation function generically defined as $\sigma(\z) = \frac{1}{N} \sum_{i=1}^{N} \phi_i(\z_i)$, for some $\phi_i: \mathbb{R}^{n_i} \rightarrow \mathbb{R}^d$
\end{itemize} \end{itemize}
@ -176,4 +176,4 @@
\end{aligned} \end{aligned}
\] \]
where $P_{Z_i^k}$ is the Euclidean projection and $\delta \in (0, 1)$ is a hyperparameter. where $P_{Z_i^k}$ is the Euclidean projection and $\delta \in (0, 1)$ is a hyperparameter.
\end{description} \end{description}