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EtienneCmb committed Jul 5, 2024
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4 changes: 2 additions & 2 deletions _downloads/2d62e710e011551b615a935858a62b71/plot_oinfo.ipynb
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"cell_type": "markdown",
"metadata": {},
"source": [
"### S-information\nFinally, the S-information is defined as the sum of the TC and DTC :\n\n"
"### S-information\nFinally, the S-information is defined as the sum of the TC and DTC :\n\n\\begin{align}\\Omega(X^{n}) &= TC(X^{n}) + DTC(X^{n}) \\\\\n &= nH(X^{n}) + \\sum_{j=1}^{n} [H(X_{j}) + H(\n X_{-j}^{n})]\\end{align}\n\n"
]
},
{
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},
"outputs": [],
"source": [
"# .. math::\n# \\Omega(X^{n}) &= TC(X^{n}) + DTC(X^{n}) \\\\\n# &= nH(X^{n}) + \\sum_{j=1}^{n} [H(X_{j}) + H(\n# X_{-j}^{n})]\n\n# compute hoi using the S-information :\nmodel = Sinfo(x)\nhoi = model.fit(method=\"gc\", minsize=3, maxsize=3)\n\n# get the multiplets with largest values of hoi\nprint(get_nbest_mult(hoi, model))"
"# compute hoi using the S-information :\nmodel = Sinfo(x)\nhoi = model.fit(method=\"gc\", minsize=3, maxsize=3)\n\n# get the multiplets with largest values of hoi\nprint(get_nbest_mult(hoi, model))"
]
},
{
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2 changes: 1 addition & 1 deletion _downloads/f089696c3572cc479d2da98315c1bf83/plot_oinfo.py
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# S-information
# ^^^^^^^^^^^^^
# Finally, the S-information is defined as the sum of the TC and DTC :

#
# .. math::
# \Omega(X^{n}) &= TC(X^{n}) + DTC(X^{n}) \\
# &= nH(X^{n}) + \sum_{j=1}^{n} [H(X_{j}) + H(
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2 changes: 1 addition & 1 deletion auto_examples/it/plot_entropies.html
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Expand Up @@ -606,7 +606,7 @@ <h2>Entropy of data sampled from an exponential distribution<a class="headerlink
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
</div>
<img src="../../_images/sphx_glr_plot_entropies_003.png" srcset="../../_images/sphx_glr_plot_entropies_003.png" alt="Comparison of entropy estimators when the data are sampled from a exponential distribution" class = "sphx-glr-single-img"/><p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 17.860 seconds)</p>
<img src="../../_images/sphx_glr_plot_entropies_003.png" srcset="../../_images/sphx_glr_plot_entropies_003.png" alt="Comparison of entropy estimators when the data are sampled from a exponential distribution" class = "sphx-glr-single-img"/><p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 17.910 seconds)</p>
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2 changes: 1 addition & 1 deletion auto_examples/it/plot_entropies_mvar.html
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Expand Up @@ -581,7 +581,7 @@ <h2>Comparison of estimators<a class="headerlink" href="#comparison-of-estimator
<span class="n">plot</span><span class="p">(</span><span class="n">h_x</span><span class="p">,</span> <span class="n">h_theoric</span><span class="p">,</span> <span class="n">n</span><span class="p">)</span>
</pre></div>
</div>
<img src="../../_images/sphx_glr_plot_entropies_mvar_001.png" srcset="../../_images/sphx_glr_plot_entropies_mvar_001.png" alt="2-dimensional multivariate normal, 4-dimensional multivariate normal, 6-dimensional multivariate normal, 8-dimensional multivariate normal" class = "sphx-glr-single-img"/><p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 26.034 seconds)</p>
<img src="../../_images/sphx_glr_plot_entropies_mvar_001.png" srcset="../../_images/sphx_glr_plot_entropies_mvar_001.png" alt="2-dimensional multivariate normal, 4-dimensional multivariate normal, 6-dimensional multivariate normal, 8-dimensional multivariate normal" class = "sphx-glr-single-img"/><p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 26.454 seconds)</p>
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2 changes: 1 addition & 1 deletion auto_examples/it/plot_mi.html
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Expand Up @@ -564,7 +564,7 @@ <h2>MI of data sampled from normal distribution<a class="headerlink" href="#mi-o
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
</div>
<img src="../../_images/sphx_glr_plot_mi_001.png" srcset="../../_images/sphx_glr_plot_mi_001.png" alt="Comparison of MI estimators when the data are sampled from a normal distribution" class = "sphx-glr-single-img"/><p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 17.125 seconds)</p>
<img src="../../_images/sphx_glr_plot_mi_001.png" srcset="../../_images/sphx_glr_plot_mi_001.png" alt="Comparison of MI estimators when the data are sampled from a normal distribution" class = "sphx-glr-single-img"/><p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 17.317 seconds)</p>
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2 changes: 1 addition & 1 deletion auto_examples/it/plot_tutorial_core.html
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Expand Up @@ -510,7 +510,7 @@ <h2>Mutual information<a class="headerlink" href="#mutual-information" title="Li
<div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>Mutual information between x and y: 0.00
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<p><a class="reference download internal" download="" href="../../_downloads/5b339cefcfab9a7df160c5f43bed58df/plot_tutorial_core.ipynb"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Jupyter</span> <span class="pre">notebook:</span> <span class="pre">plot_tutorial_core.ipynb</span></code></a></p>
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10 changes: 5 additions & 5 deletions auto_examples/it/sg_execution_times.html
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<section id="computation-times">
<span id="sphx-glr-auto-examples-it-sg-execution-times"></span><h1>Computation times<a class="headerlink" href="#computation-times" title="Link to this heading">#</a></h1>
<p><strong>01:01.247</strong> total execution time for 4 files <strong>from auto_examples/it</strong>:</p>
<p><strong>01:01.914</strong> total execution time for 4 files <strong>from auto_examples/it</strong>:</p>
<div class="docutils container">
<style scoped>
<link href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/5.3.0/css/bootstrap.min.css" rel="stylesheet" />
Expand All @@ -442,19 +442,19 @@ <h1>Computation times</h1>
</thead>
<tbody>
<tr class="row-even"><td><p><a class="reference internal" href="plot_entropies_mvar.html#sphx-glr-auto-examples-it-plot-entropies-mvar-py"><span class="std std-ref">Comparison of entropy estimators for a multivariate normal</span></a> (<code class="docutils literal notranslate"><span class="pre">plot_entropies_mvar.py</span></code>)</p></td>
<td><p>00:26.034</p></td>
<td><p>00:26.454</p></td>
<td><p>0.0</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="plot_entropies.html#sphx-glr-auto-examples-it-plot-entropies-py"><span class="std std-ref">Comparison of entropy estimators for various distributions</span></a> (<code class="docutils literal notranslate"><span class="pre">plot_entropies.py</span></code>)</p></td>
<td><p>00:17.860</p></td>
<td><p>00:17.910</p></td>
<td><p>0.0</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="plot_mi.html#sphx-glr-auto-examples-it-plot-mi-py"><span class="std std-ref">Comparison of mutual-information estimators</span></a> (<code class="docutils literal notranslate"><span class="pre">plot_mi.py</span></code>)</p></td>
<td><p>00:17.125</p></td>
<td><p>00:17.317</p></td>
<td><p>0.0</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="plot_tutorial_core.html#sphx-glr-auto-examples-it-plot-tutorial-core-py"><span class="std std-ref">Introduction to core information theoretical metrics</span></a> (<code class="docutils literal notranslate"><span class="pre">plot_tutorial_core.py</span></code>)</p></td>
<td><p>00:00.228</p></td>
<td><p>00:00.232</p></td>
<td><p>0.0</p></td>
</tr>
</tbody>
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20 changes: 10 additions & 10 deletions auto_examples/metrics/plot_infotopo.html
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</div>
<div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span> 0%| | 0/5 [00:00&lt;?, ?it/s]
20%|██ | Oinfo (3): 1/5 [00:00&lt;00:01, 2.83it/s]
40%|████ | Oinfo (4): 2/5 [00:00&lt;00:00, 3.45it/s]
60%|██████ | Oinfo (5): 3/5 [00:01&lt;00:00, 2.81it/s]
40%|████ | Oinfo (4): 2/5 [00:00&lt;00:00, 3.40it/s]
60%|██████ | Oinfo (5): 3/5 [00:01&lt;00:00, 2.78it/s]
80%|████████ | Oinfo (6): 4/5 [00:01&lt;00:00, 2.57it/s]
100%|██████████| Oinfo (7): 5/5 [00:01&lt;00:00, 2.63it/s]
</pre></div>
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</div>
<div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span> 0%| | 0/7 [00:00&lt;?, ?it/s]
14%|█▍ | Entropy H(1): 1/7 [00:00&lt;00:00, 8.35it/s]
29%|██▊ | Entropy H(2): 2/7 [00:00&lt;00:00, 8.18it/s]
43%|████▎ | Entropy H(3): 3/7 [00:00&lt;00:00, 8.28it/s]
57%|█████▋ | Entropy H(4): 4/7 [00:00&lt;00:00, 8.71it/s]
71%|███████▏ | Entropy H(5): 5/7 [00:00&lt;00:00, 8.96it/s]
86%|████████▌ | Entropy H(6): 6/7 [00:00&lt;00:00, 9.17it/s]
100%|██████████| Entropy H(7): 7/7 [00:00&lt;00:00, 9.37it/s]
29%|██▊ | Entropy H(2): 2/7 [00:00&lt;00:00, 8.22it/s]
43%|████▎ | Entropy H(3): 3/7 [00:00&lt;00:00, 8.32it/s]
57%|█████▋ | Entropy H(4): 4/7 [00:00&lt;00:00, 8.72it/s]
71%|███████▏ | Entropy H(5): 5/7 [00:00&lt;00:00, 8.98it/s]
86%|████████▌ | Entropy H(6): 6/7 [00:00&lt;00:00, 9.19it/s]
100%|██████████| Entropy H(7): 7/7 [00:00&lt;00:00, 9.42it/s]


0%| | 0/99 [00:00&lt;?, ?it/s]
100%|██████████| Mutual information: 99/99 [00:00&lt;00:00, 149097.34it/s]
100%|██████████| Mutual information: 99/99 [00:00&lt;00:00, 134598.41it/s]
</pre></div>
</div>
<p>Again, we can plot the landscape. This time, as we can see, there’s no more
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9 33 3 -0.090897 [3, 5, 6]
</pre></div>
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<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 3.724 seconds)</p>
<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> (0 minutes 3.641 seconds)</p>
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