Metrics and Models for Multi-layer Networks
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<h5 class="subsubsectionHead"><a
id="x26-250001.1.4"></a><span
class="cmtt-10x-x-109">reinforcement.py</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">reinforcement.py </span>- compute the probability to have a link between two
nodes in layer 1 given their weight in layer 2.
<!--l. 7--><p class="noindent" ><span
class="cmbx-10x-x-109">SYNOPSYS</span>
<!--l. 7--><p class="indent" > <span
class="cmbx-10x-x-109">reinforcement.py </span><span
class="cmmi-10x-x-109">&#x003C;</span><span
class="cmitt-10x-x-109">layer1</span><span
class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
class="cmitt-10x-x-109">layer2</span><span
class="cmmi-10x-x-109">&#x003E; &#x003C; N</span><sub><span
class="cmmi-8">bins</span></sub> <span
class="cmmi-10x-x-109">&#x003E; &#x003C; min</span><sub><span
class="cmmi-8">value</span></sub> <span
class="cmmi-10x-x-109">&#x003E;</span>
<span
class="cmmi-10x-x-109">&#x003C; max</span><sub><span
class="cmmi-8">value</span></sub> <span
class="cmmi-10x-x-109">&#x003E;</span>
<!--l. 17--><p class="noindent" ><span
class="cmbx-10x-x-109">DESCRIPTION</span>
<!--l. 17--><p class="indent" > Compute and print on output the probability to have a link between two
nodes in layer 1 given their weight in layer 2. As input are given the files <span
class="cmti-10x-x-109">layer1</span>,
<span
class="cmti-10x-x-109">layer2</span>, the number of bins for the link weights of the second layer, the minimum
and the maximum values of the binning.
<!--l. 17--><p class="indent" > The first file contains the binary edge list of layer 1, the second file contains
the weighted edge list of layer 2. each line is in the format:
<!--l. 17--><p class="indent" > &#x00A0; <span
class="cmti-10x-x-109">bin</span><span
class="cmti-10x-x-109">_min bin</span><span
class="cmti-10x-x-109">_max freq</span>
<!--l. 17--><p class="indent" > where <span
class="cmti-10x-x-109">bin</span><span
class="cmti-10x-x-109">_min </span>and <span
class="cmti-10x-x-109">bin</span><span
class="cmti-10x-x-109">_max </span>are the minimum and maximum values of the
link weights of layer 2 in that binning, and <span
class="cmti-10x-x-109">freq </span>is the probability to have a link
on layer 1 given such weight in layer 2.
<!--l. 19--><p class="noindent" ><span
class="cmbx-10x-x-109">OUTPUT</span>
<!--l. 19--><p class="indent" > A list of lines, where the n-th line is the minimum and maximum values of
the weight of the links in layer 2 in the n-th bin, and the frequency to have a link
on layer 2 given that weight.
<!--l. 21--><p class="noindent" ><span
class="cmbx-10x-x-109">REFERENCE</span>
<!--l. 21--><p class="indent" > F. Battiston, V. Nicosia, V. Latora, &#8220;Structural measures for multiplex
networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. E </span><span
class="cmbx-10x-x-109">89</span>, 032804 (2014).
<!--l. 21--><p class="indent" > Link to paper: <a
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804" class="url" ><span
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804</span></a>
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