You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
106 lines
5.0 KiB
106 lines
5.0 KiB
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
|
|
"http://www.w3.org/TR/html4/loose.dtd">
|
|
<html >
|
|
<head><title>3.2.2.0 entropyrate2int</title>
|
|
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
|
|
<meta name="generator" content="TeX4ht (http://www.cse.ohio-state.edu/~gurari/TeX4ht/)">
|
|
<meta name="originator" content="TeX4ht (http://www.cse.ohio-state.edu/~gurari/TeX4ht/)">
|
|
<!-- html,index=2,3,4,5,next -->
|
|
<meta name="src" content="mammult_doc.tex">
|
|
<meta name="date" content="2015-10-19 17:14:00">
|
|
<link rel="stylesheet" type="text/css" href="mammult_doc.css">
|
|
</head><body
|
|
>
|
|
<!--l. 7--><div class="crosslinks"><p class="noindent">[<a
|
|
href="mammult_docsu58.html" >prev</a>] [<a
|
|
href="mammult_docsu58.html#tailmammult_docsu58.html" >prev-tail</a>] [<a
|
|
href="#tailmammult_docsu59.html">tail</a>] [<a
|
|
href="mammult_docsu56.html#mammult_docsu59.html" >up</a>] </p></div>
|
|
<h5 class="subsubsectionHead"><a
|
|
id="x71-700003.2.2"></a><span
|
|
class="cmtt-10x-x-109">entropyrate2int</span></h5>
|
|
<!--l. 7--><p class="noindent" ><span
|
|
class="cmbx-10x-x-109">NAME</span>
|
|
<!--l. 7--><p class="indent" > <span
|
|
class="cmbx-10x-x-109">entropyrate2int </span>- compute the entropy rate of intensive biased walks in a
|
|
multiplex with 2 layers.
|
|
<!--l. 7--><p class="noindent" ><span
|
|
class="cmbx-10x-x-109">SYNOPSYS</span>
|
|
<!--l. 7--><p class="indent" > <span
|
|
class="cmbx-10x-x-109">entropyrate2int </span><span
|
|
class="cmmi-10x-x-109"><</span><span
|
|
class="cmitt-10x-x-109">layer1</span><span
|
|
class="cmmi-10x-x-109">> <</span><span
|
|
class="cmitt-10x-x-109">layer2</span><span
|
|
class="cmmi-10x-x-109">> < overlappingnetwork > <</span><span
|
|
class="cmitt-10x-x-109">N</span><span
|
|
class="cmmi-10x-x-109">> b</span><sub><span
|
|
class="cmr-8">1</span></sub>
|
|
<span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmr-8">2</span></sub>
|
|
<!--l. 20--><p class="noindent" ><span
|
|
class="cmbx-10x-x-109">DESCRIPTION</span>
|
|
<!--l. 20--><p class="indent" > Compute and print the entropy rate of an intensive biased walks in a
|
|
multiplex with 2 layers and bias parameters <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">p</span></sub> and <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">o</span></sub>. Files <span
|
|
class="cmti-10x-x-109">layer1</span>, <span
|
|
class="cmti-10x-x-109">layer2</span>,
|
|
contain the (undirected) edge list of the two layer, and each line is in the
|
|
format:
|
|
<!--l. 20--><p class="indent" >   <span
|
|
class="cmti-10x-x-109">src</span><span
|
|
class="cmti-10x-x-109">_ID dest</span><span
|
|
class="cmti-10x-x-109">_ID</span>
|
|
<!--l. 20--><p class="indent" > where <span
|
|
class="cmti-10x-x-109">src</span><span
|
|
class="cmti-10x-x-109">_ID </span>and <span
|
|
class="cmti-10x-x-109">dest</span><span
|
|
class="cmti-10x-x-109">_ID </span>are the IDs of the two endpoints of an
|
|
edge.
|
|
<!--l. 20--><p class="indent" > The file <span
|
|
class="cmti-10x-x-109">overlapping network </span>has also a third column indicating the number of
|
|
times two nodes are connected across all layers.
|
|
<!--l. 20--><p class="indent" > <span
|
|
class="cmmi-10x-x-109">N </span>is the number of nodes, <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">p</span></sub> is the biased exponent on the participation
|
|
coefficient, <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">o</span></sub> is the biased exponent on the overlapping degree.
|
|
<!--l. 22--><p class="noindent" ><span
|
|
class="cmbx-10x-x-109">OUTPUT</span>
|
|
<!--l. 22--><p class="indent" > One line, reporting the value of the entropy rate <span
|
|
class="cmmi-10x-x-109">h </span>of an intensive biased
|
|
random walks with <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">p</span></sub> and <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">o</span></sub> as bias exponents, <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">p</span></sub> and <span
|
|
class="cmmi-10x-x-109">b</span><sub><span
|
|
class="cmmi-8">o</span></sub>.
|
|
<!--l. 24--><p class="noindent" ><span
|
|
class="cmbx-10x-x-109">REFERENCE</span>
|
|
<!--l. 24--><p class="indent" > F. Battiston, V. Nicosia, V. Latora, <span
|
|
class="cmti-10x-x-109">“Biased random walks on multiplex</span>
|
|
<span
|
|
class="cmti-10x-x-109">networks”</span>, arxiv:1505.01378 (2015).
|
|
<!--l. 24--><p class="indent" > Link to paper: <a
|
|
href="http://arxiv.org/abs/1505.01378" class="url" ><span
|
|
class="cmtt-10x-x-109">http://arxiv.org/abs/1505.01378</span></a>
|
|
|
|
|
|
|
|
<!--l. 282--><div class="crosslinks"><p class="noindent">[<a
|
|
href="mammult_docsu58.html" >prev</a>] [<a
|
|
href="mammult_docsu58.html#tailmammult_docsu58.html" >prev-tail</a>] [<a
|
|
href="mammult_docsu59.html" >front</a>] [<a
|
|
href="mammult_docsu56.html#mammult_docsu59.html" >up</a>] </p></div>
|
|
<!--l. 282--><p class="indent" > <a
|
|
id="tailmammult_docsu59.html"></a>
|
|
</body></html>
|
|
|