Metrics and Models for Multi-layer Networks
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<h5 class="subsubsectionHead"><a
id="x33-320001.2.2"></a><span
class="cmtt-10x-x-109">compute</span><span
class="cmtt-10x-x-109">_pearson.py</span></h5>
<!--l. 4--><p class="noindent" ><span
class="cmbx-10x-x-109">NAME</span>
<!--l. 4--><p class="indent" > <span
class="cmbx-10x-x-109">compute</span><span
class="cmbx-10x-x-109">_pearson.py </span>- compute the Pearson&#8217;s linear correlation coefficient
between two node properties.
<!--l. 4--><p class="noindent" ><span
class="cmbx-10x-x-109">SYNOPSYS</span>
<!--l. 4--><p class="indent" > <span
class="cmbx-10x-x-109">compute</span><span
class="cmbx-10x-x-109">_pearson.py </span><span
class="cmmi-10x-x-109">&#x003C;</span><span
class="cmitt-10x-x-109">file1</span><span
class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
class="cmitt-10x-x-109">file2</span><span
class="cmmi-10x-x-109">&#x003E;</span>
<!--l. 16--><p class="noindent" ><span
class="cmbx-10x-x-109">DESCRIPTION</span>
<!--l. 16--><p class="indent" > Compute the Pearson&#8217;s linear correlation coefficient between two sets of
(either integer- or real-valued) node properties provided in the input files
<span
class="cmti-10x-x-109">file1 </span>and <span
class="cmti-10x-x-109">file2</span>. Each input file contains a list of lines, where the n-th line
contains the value of a node property for the n-th node. For instance, <span
class="cmti-10x-x-109">file1</span>
and <span
class="cmti-10x-x-109">file2 </span>might contain the degrees of nodes at two distinct layers of a
multiplex. However, the program is pretty general and can be used to
compute the Pearson&#8217;s correlation coeffcient between any pairs of node
properties.
<!--l. 21--><p class="noindent" ><span
class="cmbx-10x-x-109">OUTPUT</span>
<!--l. 21--><p class="indent" > The program prints on <span
class="cmtt-10x-x-109">stdout </span>the value of the Pearson&#8217;s linear correlation
coefficient between the two sets of node properties.
<!--l. 28--><p class="noindent" ><span
class="cmbx-10x-x-109">REFERENCE</span>
<!--l. 28--><p class="indent" > V. Nicosia, V. Latora, &#8220;Measuring and modeling correlations in multiplex
networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. E </span><span
class="cmbx-10x-x-109">92</span>, 032805 (2015).
<!--l. 28--><p class="indent" > Link to paper: <a
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805" class="url" ><span
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805</span></a>
<!--l. 28--><p class="indent" > V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, &#8220;Growing multiplex
networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. Lett. </span><span
class="cmbx-10x-x-109">111</span>, 058701 (2013).
<!--l. 28--><p class="indent" > Link to paper: <a
href="http://prl.aps.org/abstract/PRL/v111/i5/e058701" class="url" ><span
class="cmtt-10x-x-109">http://prl.aps.org/abstract/PRL/v111/i5/e058701</span></a>
<!--l. 28--><p class="indent" > V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, &#8220;Non-linear growth and
condensation in multiplex networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. E </span><span
class="cmbx-10x-x-109">90</span>, 042807 (2014).
<!--l. 28--><p class="indent" > Link to paper: <a
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807" class="url" ><span
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807</span></a>
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