1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
|
<!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 entropyrate2add</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 17:06:00">
<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" >next</a>] [<a
href="mammult_docsu56.html" >prev</a>] [<a
href="mammult_docsu56.html#tailmammult_docsu56.html" >prev-tail</a>] [<a
href="#tailmammult_docsu57.html">tail</a>] [<a
href="mammult_docsu56.html#mammult_docsu57.html" >up</a>] </p></div>
<h5 class="subsubsectionHead"><a
id="x68-670003.2.2"></a><span
class="cmtt-10x-x-109">entropyrate2add</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">entropyrate2add </span>- compute the entropy rate of additive 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">entropyrate2add </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">></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 additive biased walk in a
multiplex with 2 layers and bias parameters <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">1</span></sub> and <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">2</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="cmr-8">1</span></sub> is the degree-biased exponent for layer 1, <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">2</span></sub> is
the degree-biased exponent for layer 2.
<!--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 additive biased
random walks with <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">1</span></sub> and <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">2</span></sub> as bias exponents, <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">1</span></sub> and <span
class="cmmi-10x-x-109">b</span><sub><span
class="cmr-8">2</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. 7--><div class="crosslinks"><p class="noindent">[<a
href="mammult_docsu58.html" >next</a>] [<a
href="mammult_docsu56.html" >prev</a>] [<a
href="mammult_docsu56.html#tailmammult_docsu56.html" >prev-tail</a>] [<a
href="mammult_docsu57.html" >front</a>] [<a
href="mammult_docsu56.html#mammult_docsu57.html" >up</a>] </p></div>
<!--l. 7--><p class="indent" > <a
id="tailmammult_docsu57.html"></a>
</body></html>
|
