induced graphon signal

[[concept]]

Induced Graphon Signal

Let $(G_n,X_n)$ be a graph signal. The induced graphon signal is defined as the pair $(W_n,{\mathcal{X}}_n)$ where $W_n$ is the induced graphon and ${\mathcal{X}}_n(u)={\sum }_{i=1}^n[x_n{]}_{i}1(u\in I_i)$ Where $1$ is the indicator function and

[ \frac{k-1}{n}, \frac{k}{n} )\;\;\;1 \leq k \leq n-1 \\ \left[ \frac{n-1}{n}, 1 \right] \;\;\; k=n \end{cases}$$ ^definition

Example

Mentions

Mentions

TABLE
FROM [[]]
 
FLATTEN choice(contains(artist, this.file.link), 1, "") + choice(contains(author, this.file.link), 1, "") + choice(contains(director, this.file.link), 1, "") + choice(contains(source, this.file.link), 1, "") as direct_source
 
WHERE !direct_source

const { dateTime } = await cJS()
 
return function View() {
	const file = dc.useCurrentFile();
	return <p class="dv-modified">Created {dateTime.getCreated(file)}     ֍     Last Modified {dateTime.getLastMod(file)}</p>
}