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<h1 id="about-me">About me</h1>

<p>I am a PhD student at the Machine Learning Group in Saarland University, supervised by Matthias Hein. I am currently working on extensions of Spectral Clustering to signed networks and multilayer graphs.</p>

<p>Before starting my PhD studies, I did a M.Sc. in Computer Science at Saarland University together with the International Max Planck Research School for Computer Science.</p>

<p>Prior to that, I did a B.Sc. in Applied Mathematics at Instituto Tecnológico Autónomo de México (ITAM). During my B.Sc. I had the wonderful opportunity of doing two internships at the Fraunhofer Institute for Digital Media Technology (Fraunhofer IDMT).</p>


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              <p class="course">MSc in Computer Science</p>
              <p class="institution">Saarland University / International Max Planck Research School for Computer Science</p>
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              <p class="institution">Instituto Tecnologico Autonomo de Mexico</p>
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    <h1>News</h1>
    
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    <p>[15/October/19] I will be visiting <a href="https://www.cl.cam.ac.uk/" target="_blank">The Computer Laboratory</a> at University of Cambridge for one week: 11-15 of November 2019.</p>

<p>[03/September/19] Our paper <a href="#publications">Generalized Matrix Means for Semi-Supervised Learning with Multilayer Graphs</a> got accepted at NeurIPS 2019.</p>

<p>[08/June/19] Our paper <a href="#publications">Node Classification for Signed Social Networks Using Diffuse Interface Methods</a> together with Jessica Bosch and Martin Stoll has been accepted at ECML PKDD 2019.</p>

<p>[22/April/19] Our paper <a href="#publications">Spectral Clustering of Signed Graphs via Matrix Power Means</a> got accepted at ICML 2019.</p>

<p>[23/January/19] Invited talk at minisymposium session <strong>Information extraction using the graph Laplacian</strong> organized by Martin Stoll and Michele Benzi at <a href="https://iciam2019.org/" target="_blank">ICIAM 2019</a>. I will present our work on <em>Matrix Means for Signed and Multilayer Graph Clustering</em>.</p>

<p>[04/August/18] I will be visiting the <a href="https://www.turing.ac.uk/" target="_blank">Alan Turing Institute</a> in London for one week: Monday August 27 to Friday August 31.</p>

<p>[13/July/18] Our paper <a href="#publications">Community Detection in Networks Via Nonlinear Modularity Eigenvectors</a> got accepted at SIAM J. Applied Mathematics (SIAP).</p>

<p>[08/June/18] Our paper <a href="#publications">The Power Mean Laplacian for Multilayer Graph Clustering</a> got accepted at the workshop <a href="http://www.mlgworkshop.org/2018/" target="_blank">MLG@KDD</a>.</p>

<p>[04/May/18]  Talk at minisymposium session <em>Matrix Functions and their Applications</em> at <a href="http://www.math.hkbu.edu.hk/siam-ala18/" target="_blank">SIAM ALA</a> on <em>Matrix Means for Signed and Multilayer Graph Clustering</em>.</p>

<p>[10/Apr/18] Poster presentation of our paper <a href="#publications">The Power Mean Laplacian for Multilayer Graph Clustering</a> at <a href="https://www.aistats.org/aistats2018/" target="_blank">AISTATS</a>.</p>

<p>[14/Sep/17]  Poster presentation of our paper <a href="#publications">Clustering Signed Networks with the Geometric Mean of Laplacians</a> at <a href="https://gcpr2017.dmi.unibas.ch/en/" target="_blank">GCPR</a> Nectar Track.</p>

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    <h1>Selected Publications</h1>
    
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  <h3 class="article-title" itemprop="name">
    <a href="https://melopeo.github.io/publication/pmssl/" itemprop="url">Generalized Matrix Means for Semi-Supervised Learning with Multilayer Graphs </a>
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  <div class="pub-abstract" itemprop="text">
    
    
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  <div class="pub-authors" itemprop="author">
    
    Pedro Mercado, Francesco Tudisco, Matthias Hein
    
  </div>

  <div class="pub-publication">
    
    In <em>NeurIPS</em>,
    
    2019
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  <div class="pub-links">
    

<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/pdf/1910.13951.pdf" target="_blank" rel="noopener">
  Preprint
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<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/pdf/1910.13951.pdf" target="_blank" rel="noopener">
  PDF
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  Cite
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<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/PM_SSL" target="_blank" rel="noopener">
  Code
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<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/PM_SSL/blob/master/PaperAndPoster/poster.pdf" target="_blank" rel="noopener">
  Poster
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<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/pdf/1910.13951.pdf" target="_blank" rel="noopener">
  PDF (Supplement with proofs)
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        <div class="pub-list-item card-simple" itemscope itemtype="http://schema.org/CreativeWork">

  
  <h3 class="article-title" itemprop="name">
    <a href="https://melopeo.github.io/publication/gl/" itemprop="url">Node Classification for Signed Social Networks Using Diffuse Interface Methods</a>
  </h3>

  <div class="pub-abstract" itemprop="text">
    
    
  </div>

  <div class="pub-authors" itemprop="author">
    
    Pedro Mercado, Jessica Bosch, Martin Stoll
    
  </div>

  <div class="pub-publication">
    
    In <em>ECML PKDD</em>,
    
    2019
  </div>

  <div class="pub-links">
    

<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/abs/1809.06432" target="_blank" rel="noopener">
  Preprint
</a>


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        data-filename="/files/citations/GL.bib">
  Cite
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  Code
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<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/GL/blob/master/Poster/poster.pdf" target="_blank" rel="noopener">
  Poster
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  <h3 class="article-title" itemprop="name">
    <a href="https://melopeo.github.io/publication/spm/" itemprop="url">Spectral Clustering of Signed Graphs via Matrix Power Means </a>
  </h3>

  <div class="pub-abstract" itemprop="text">
    
    
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  <div class="pub-authors" itemprop="author">
    
    Pedro Mercado, Francesco Tudisco, Matthias Hein
    
  </div>

  <div class="pub-publication">
    
    In <em>ICML</em>,
    
    2019
  </div>

  <div class="pub-links">
    

<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v97/mercado19a/mercado19a.pdf" target="_blank" rel="noopener">
  PDF
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<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/SPM/blob/master/PaperAndPoster/SpectralClusteringOfSignedGraphsViaMatrixPowerMeansPoster.pdf" target="_blank" rel="noopener">
  Poster
</a>


<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/SPM/blob/master/PaperAndPoster/SpectralClusteringOfSignedGraphsViaMatrixPowerMeans_slides.pdf" target="_blank" rel="noopener">
  Slides
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<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v97/mercado19a.html" target="_blank" rel="noopener">
  .bib
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<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v97/mercado19a/mercado19a-supp.pdf" target="_blank" rel="noopener">
  PDF (Supplement with proofs)
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        <div class="pub-list-item card-simple" itemscope itemtype="http://schema.org/CreativeWork">

  
  <h3 class="article-title" itemprop="name">
    <a href="https://melopeo.github.io/publication/nl/" itemprop="url">Community Detection in Networks Via Nonlinear Modularity Eigenvectors</a>
  </h3>

  <div class="pub-abstract" itemprop="text">
    
    
  </div>

  <div class="pub-authors" itemprop="author">
    
    Francesco Tudisco, Pedro Mercado, Matthias Hein
    
  </div>

  <div class="pub-publication">
    
    In SIAM J. Applied Mathematics (SIAP),
    
    2018
  </div>

  <div class="pub-links">
    

<a class="btn btn-primary btn-outline btn-xs" href="https://epubs.siam.org/doi/abs/10.1137/17M1144143" target="_blank" rel="noopener">
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  .bib
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  <h3 class="article-title" itemprop="name">
    <a href="https://melopeo.github.io/publication/pm/" itemprop="url">The Power Mean Laplacian for Multilayer Graph Clustering</a>
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  <div class="pub-abstract" itemprop="text">
    
    
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  <div class="pub-authors" itemprop="author">
    
    Pedro Mercado, Antoine Gautier, Francesco Tudisco, Matthias Hein
    
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  <div class="pub-publication">
    
    In <em>AISTATS</em>,
    
    2018
  </div>

  <div class="pub-links">
    

<a class="btn btn-primary btn-outline btn-xs" href="http://www.ml.uni-saarland.de/Publications/MerGauTudHei-PowerMeanLaplacian.pdf" target="_blank" rel="noopener">
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  Code
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  Poster
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<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v84/mercado18a.html" target="_blank" rel="noopener">
  .bib
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<a class="btn btn-primary btn-outline btn-xs" href="http://www.ml.uni-saarland.de/Publications/MerGauTudHei-PowerMeanLaplacian-Appendix.pdf" target="_blank" rel="noopener">
  PDF (Supplement with proofs)
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  <h3 class="article-title" itemprop="name">
    <a href="https://melopeo.github.io/publication/gm/" itemprop="url">Clustering Signed Networks with the Geometric Mean of Laplacians</a>
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  <div class="pub-abstract" itemprop="text">
    
    
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  <div class="pub-authors" itemprop="author">
    
    Pedro Mercado, Francesco Tudisco, Matthias Hein
    
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  <div class="pub-publication">
    
    In <em>NIPS</em>,
    
    2016
  </div>

  <div class="pub-links">
    

<a class="btn btn-primary btn-outline btn-xs" href="https://papers.nips.cc/paper/6164-clustering-signed-networks-with-the-geometric-mean-of-laplacians.pdf" target="_blank" rel="noopener">
  PDF
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  Poster
</a>


<a class="btn btn-primary btn-outline btn-xs" href="https://papers.nips.cc/paper/6164-clustering-signed-networks-with-the-geometric-mean-of-laplacians/bibtex" target="_blank" rel="noopener">
  .bib
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<a class="btn btn-primary btn-outline btn-xs" href="https://papers.nips.cc/paper/6164-clustering-signed-networks-with-the-geometric-mean-of-laplacians-supplemental.zip" target="_blank" rel="noopener">
  PDF (Supplement with proofs)
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    <h1>Recent Publications</h1>
    
    
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  <span itemprop="author">
    Pedro Mercado, Francesco Tudisco, Matthias Hein</span>.
  <a href="https://melopeo.github.io/publication/pmssl/" itemprop="name">Generalized Matrix Means for Semi-Supervised Learning with Multilayer Graphs </a>.
  In <em>NeurIPS</em>,
  2019.
  <p>


<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/pdf/1910.13951.pdf" target="_blank" rel="noopener">
  Preprint
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  Poster
</a>


<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/pdf/1910.13951.pdf" target="_blank" rel="noopener">
  PDF (Supplement with proofs)
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    Pedro Mercado, Jessica Bosch, Martin Stoll</span>.
  <a href="https://melopeo.github.io/publication/gl/" itemprop="name">Node Classification for Signed Social Networks Using Diffuse Interface Methods</a>.
  In <em>ECML PKDD</em>,
  2019.
  <p>


<a class="btn btn-primary btn-outline btn-xs" href="https://arxiv.org/abs/1809.06432" target="_blank" rel="noopener">
  Preprint
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<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/GL/blob/master/Poster/poster.pdf" target="_blank" rel="noopener">
  Poster
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  <span itemprop="author">
    Pedro Mercado, Francesco Tudisco, Matthias Hein</span>.
  <a href="https://melopeo.github.io/publication/spm/" itemprop="name">Spectral Clustering of Signed Graphs via Matrix Power Means </a>.
  In <em>ICML</em>,
  2019.
  <p>


<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v97/mercado19a/mercado19a.pdf" target="_blank" rel="noopener">
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<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/SPM/blob/master/PaperAndPoster/SpectralClusteringOfSignedGraphsViaMatrixPowerMeansPoster.pdf" target="_blank" rel="noopener">
  Poster
</a>


<a class="btn btn-primary btn-outline btn-xs" href="https://github.com/melopeo/SPM/blob/master/PaperAndPoster/SpectralClusteringOfSignedGraphsViaMatrixPowerMeans_slides.pdf" target="_blank" rel="noopener">
  Slides
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<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v97/mercado19a.html" target="_blank" rel="noopener">
  .bib
</a>

<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v97/mercado19a/mercado19a-supp.pdf" target="_blank" rel="noopener">
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    Francesco Tudisco, Pedro Mercado, Matthias Hein</span>.
  <a href="https://melopeo.github.io/publication/nl/" itemprop="name">Community Detection in Networks Via Nonlinear Modularity Eigenvectors</a>.
  In SIAM J. Applied Mathematics (SIAP),
  2018.
  <p>


<a class="btn btn-primary btn-outline btn-xs" href="https://epubs.siam.org/doi/abs/10.1137/17M1144143" target="_blank" rel="noopener">
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<a class="btn btn-primary btn-outline btn-xs" href="https://epubs.siam.org/doi/abs/10.1137/17M1144143" target="_blank" rel="noopener">
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    Pedro Mercado, Antoine Gautier, Francesco Tudisco, Matthias Hein</span>.
  <a href="https://melopeo.github.io/publication/pm/" itemprop="name">The Power Mean Laplacian for Multilayer Graph Clustering</a>.
  In <em>AISTATS</em>,
  2018.
  <p>


<a class="btn btn-primary btn-outline btn-xs" href="http://www.ml.uni-saarland.de/Publications/MerGauTudHei-PowerMeanLaplacian.pdf" target="_blank" rel="noopener">
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  Poster
</a>


<a class="btn btn-primary btn-outline btn-xs" href="http://proceedings.mlr.press/v84/mercado18a.html" target="_blank" rel="noopener">
  .bib
</a>

<a class="btn btn-primary btn-outline btn-xs" href="http://www.ml.uni-saarland.de/Publications/MerGauTudHei-PowerMeanLaplacian-Appendix.pdf" target="_blank" rel="noopener">
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  <span itemprop="author">
    Pedro Mercado, Francesco Tudisco, Matthias Hein</span>.
  <a href="https://melopeo.github.io/publication/gm/" itemprop="name">Clustering Signed Networks with the Geometric Mean of Laplacians</a>.
  In <em>NIPS</em>,
  2016.
  <p>


<a class="btn btn-primary btn-outline btn-xs" href="https://papers.nips.cc/paper/6164-clustering-signed-networks-with-the-geometric-mean-of-laplacians.pdf" target="_blank" rel="noopener">
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  Poster
</a>


<a class="btn btn-primary btn-outline btn-xs" href="https://papers.nips.cc/paper/6164-clustering-signed-networks-with-the-geometric-mean-of-laplacians/bibtex" target="_blank" rel="noopener">
  .bib
</a>

<a class="btn btn-primary btn-outline btn-xs" href="https://papers.nips.cc/paper/6164-clustering-signed-networks-with-the-geometric-mean-of-laplacians-supplemental.zip" target="_blank" rel="noopener">
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