mirror of
https://github.com/NotXia/unibo-ai-notes.git
synced 2025-12-14 18:51:52 +01:00
Typo <noupdate>
This commit is contained in:
@ -5,7 +5,7 @@
|
|||||||
|
|
||||||
\begin{description}
|
\begin{description}
|
||||||
\item[Mass-spring system] \marginnote{Mass-spring system}
|
\item[Mass-spring system] \marginnote{Mass-spring system}
|
||||||
System of $N$ masses where each mass $i$ has a position $x_i \in \mathbb{R}$ and is connected through a sprint to mass $i-1$ and $i+1$. Each spring has an elastic constant $a_{j, i} = a_{i, j} > 0$.
|
System of $N$ masses where each mass $i$ has a position $x_i \in \mathbb{R}$ and is connected through a spring to mass $i-1$ and $i+1$. Each spring has an elastic constant $a_{j, i} = a_{i, j} > 0$.
|
||||||
|
|
||||||
\begin{figure}[H]
|
\begin{figure}[H]
|
||||||
\centering
|
\centering
|
||||||
|
|||||||
@ -611,7 +611,7 @@
|
|||||||
|
|
||||||
\begin{description}
|
\begin{description}
|
||||||
\item[Distributed gradient algorithm] \marginnote{Distributed gradient algorithm}
|
\item[Distributed gradient algorithm] \marginnote{Distributed gradient algorithm}
|
||||||
Method that estimates a (more precise) set of parameters as a weighted sum those of its neighbors' (self-loop included):
|
Method that estimates a (more precise) set of parameters as a weighted sum of those of its neighbors' (self-loop included):
|
||||||
\[
|
\[
|
||||||
\vec{v}_i^{k+1} = \sum_{j \in \mathcal{N}_i} a_{ij} \z_j^k
|
\vec{v}_i^{k+1} = \sum_{j \in \mathcal{N}_i} a_{ij} \z_j^k
|
||||||
\]
|
\]
|
||||||
|
|||||||
@ -9,7 +9,7 @@
|
|||||||
\]
|
\]
|
||||||
with $\x(t) \in \mathbb{R}^n$, $\u(t) \in U \subseteq \mathbb{R}^m$, $f(\x(t)) \in \mathbb{R}^n$, and $g(\x(t)) \in \mathbb{R}^{n \times m}$.
|
with $\x(t) \in \mathbb{R}^n$, $\u(t) \in U \subseteq \mathbb{R}^m$, $f(\x(t)) \in \mathbb{R}^n$, and $g(\x(t)) \in \mathbb{R}^{n \times m}$.
|
||||||
|
|
||||||
$f(\x(t))$ can be seen as the drift of the system and $\u(t)$ a coefficient that controls how much $g(\x(t))$ is injected into $f(\x(t))$.
|
$f(\x(t))$ can be seen as the drift of the system and $\u(t)$ as a coefficient that controls how much $g(\x(t))$ is injected into $f(\x(t))$.
|
||||||
|
|
||||||
The overall system can be interpreted as composed of:
|
The overall system can be interpreted as composed of:
|
||||||
\begin{itemize}
|
\begin{itemize}
|
||||||
|
|||||||
Reference in New Issue
Block a user