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Charo del Genio<p>New paper!<br>How can we detect the presence of communities in networks with higher-order interactions? For instance, by maximizing hypermodularity! Also, this formulation will allow you to leverage tensor spectral methods to do it. Additionally, the paper also argues that the "overfitting" of modularity methods is actually just people applying them where they are not supposed to be used. And, as a byproduct, there is an explanation of why higher-order SVD works so well in classification tasks in machine learning. Oh, the code is available to use in your own projects (link in the first comment). And moreover, the code includes an efficient data structure for higher-order networks that is independent from the community detection method and that you can also use in your own work. 😎</p><p><a href="https://journals.aps.org/prresearch/abstract/10.1103/58dr-wktc" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">journals.aps.org/prresearch/ab</span><span class="invisible">stract/10.1103/58dr-wktc</span></a></p><p><a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a> <a href="https://mathstodon.xyz/tags/complexity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>complexity</span></a> <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>maths</span></a> <a href="https://mathstodon.xyz/tags/CompSci" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CompSci</span></a> <a href="https://mathstodon.xyz/tags/graphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphs</span></a> <a href="https://mathstodon.xyz/tags/higherorder" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>higherorder</span></a> <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a> <a href="https://mathstodon.xyz/tags/community" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>community</span></a> <a href="https://mathstodon.xyz/tags/detection" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>detection</span></a> <a href="https://mathstodon.xyz/tags/algorithm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>algorithm</span></a> <a href="https://mathstodon.xyz/tags/communitystructure" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>communitystructure</span></a> <a href="https://mathstodon.xyz/tags/modularity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>modularity</span></a> <a href="https://mathstodon.xyz/tags/hypermodularity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypermodularity</span></a></p>
Charo del Genio<p>All those who couldn't join us in Natal for the International School and Workshop in Complex Networks Beyond Pairwise Interactions can still access all the lectures and talks, courtesy of the International Institute of Physics! 😎</p><p>- Fundamental definitions and properties<br>- Dynamical processes<br>- Synchronisation<br>- Control<br>- Belief propagation<br>- Community detection</p><p>and more!</p><p>Please boost to reach the largest possible audience.</p><p><a href="https://www.youtube.com/playlist?list=PLqTLz9G2bGs2-ToEsAuUg3u6ZASY1UbAk" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">youtube.com/playlist?list=PLqT</span><span class="invisible">Lz9G2bGs2-ToEsAuUg3u6ZASY1UbAk</span></a></p><p><a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mathstodon.xyz/tags/structure" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>structure</span></a> <a href="https://mathstodon.xyz/tags/dynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dynamics</span></a> <a href="https://mathstodon.xyz/tags/complexity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>complexity</span></a> <a href="https://mathstodon.xyz/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a> <a href="https://mathstodon.xyz/tags/graphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphs</span></a> <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a> <a href="https://mathstodon.xyz/tags/school" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>school</span></a> <a href="https://mathstodon.xyz/tags/workshop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>workshop</span></a> <a href="https://mathstodon.xyz/tags/conference" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>conference</span></a> <a href="https://mathstodon.xyz/tags/natal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>natal</span></a> <a href="https://mathstodon.xyz/tags/riograndedonorte" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>riograndedonorte</span></a> <a href="https://mathstodon.xyz/tags/brazil" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>brazil</span></a> <a href="https://mathstodon.xyz/tags/UFRN" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>UFRN</span></a></p>
Charo del Genio<p>If you don't have access to the journal, you can download it from here</p><p><a href="https://charodelgenio.weebly.com/recon.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">charodelgenio.weebly.com/recon</span><span class="invisible">.html</span></a></p><p><a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a> <a href="https://mathstodon.xyz/tags/reconstruction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>reconstruction</span></a> <a href="https://mathstodon.xyz/tags/higherorder" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>higherorder</span></a> <a href="https://mathstodon.xyz/tags/simplicialcomplex" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>simplicialcomplex</span></a> <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a> <a href="https://mathstodon.xyz/tags/evolutionarygames" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>evolutionarygames</span></a> <a href="https://mathstodon.xyz/tags/transient" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>transient</span></a> <a href="https://mathstodon.xyz/tags/dynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dynamics</span></a> <a href="https://mathstodon.xyz/tags/algorithm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>algorithm</span></a></p>
Charo del Genio<p>The paper is on Physical Review E</p><p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.111.044304" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">journals.aps.org/pre/abstract/</span><span class="invisible">10.1103/PhysRevE.111.044304</span></a></p><p><a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a> <a href="https://mathstodon.xyz/tags/reconstruction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>reconstruction</span></a> <a href="https://mathstodon.xyz/tags/higherorder" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>higherorder</span></a> <a href="https://mathstodon.xyz/tags/simplicialcomplex" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>simplicialcomplex</span></a> <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a> <a href="https://mathstodon.xyz/tags/evolutionarygames" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>evolutionarygames</span></a> <a href="https://mathstodon.xyz/tags/transient" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>transient</span></a> <a href="https://mathstodon.xyz/tags/dynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dynamics</span></a> <a href="https://mathstodon.xyz/tags/algorithm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>algorithm</span></a></p>
Charo del Genio<p>New paper, just out.</p><p>Often, in real-world situations, one does not know the full structure of a network. However, at the same time, one can often observe some interactions that take place on it, and may be interested in knowing its full structure. For example, one may be detecting some partial criminal activity and may want to determine the whole organization. We consider higher-order networks, which are structures with many-body interactions, and specifically simplicial complexes, and show that one can reconstruct a whole network almost perfectly simply by observing the transient of the dynamics that takes place on it. In fact, we give 3 different algorithms to do it, with different complexities and accuracies, so you can choose which one suits you best.</p><p><a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a> <a href="https://mathstodon.xyz/tags/reconstruction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>reconstruction</span></a> <a href="https://mathstodon.xyz/tags/higherorder" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>higherorder</span></a> <a href="https://mathstodon.xyz/tags/simplicialcomplex" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>simplicialcomplex</span></a> <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a> <a href="https://mathstodon.xyz/tags/evolutionarygames" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>evolutionarygames</span></a> <a href="https://mathstodon.xyz/tags/transient" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>transient</span></a> <a href="https://mathstodon.xyz/tags/dynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dynamics</span></a> <a href="https://mathstodon.xyz/tags/algorithm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>algorithm</span></a></p>
Charo del Genio<p>The registration portal for the School and Workshop in higher-order networks is now open! The link is on the main page of the event. Mark these dates in your calendar: 25 June - 2 July!</p><p>Please boost and reshare to anyone who may be interested, and especially students and researchers from South America.</p><p><a href="https://www.iip.ufrn.br/eventsdetail.php?inf===QTUdWM" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">iip.ufrn.br/eventsdetail.php?i</span><span class="invisible">nf===QTUdWM</span></a></p><p><a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a> <a href="https://mathstodon.xyz/tags/graphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphs</span></a> <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a> <a href="https://mathstodon.xyz/tags/complexity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>complexity</span></a> <a href="https://mathstodon.xyz/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mathstodon.xyz/tags/school" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>school</span></a> <a href="https://mathstodon.xyz/tags/workshop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>workshop</span></a> <a href="https://mathstodon.xyz/tags/conference" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>conference</span></a></p>
Charo del Genio<p>We all know <a href="https://mathstodon.xyz/tags/complex" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>complex</span></a> <a href="https://mathstodon.xyz/tags/systems" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>systems</span></a> are most often structured as <a href="https://mathstodon.xyz/tags/networks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>networks</span></a>. But the <a href="https://mathstodon.xyz/tags/complexity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>complexity</span></a> of the real world often goes beyond pairwise interactions. So, how does one model these? Why, with <a href="https://mathstodon.xyz/tags/hypergraphs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hypergraphs</span></a>, of course! And how does one learn about them? By attending our School and Conference on Higher-Order Networks! An international line-up of lecturers and speakers will discuss the <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> of hypergraphs, the <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> of the processes they support and discuss <a href="https://mathstodon.xyz/tags/algorithms" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>algorithms</span></a> that can be used to study their <a href="https://mathstodon.xyz/tags/structure" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>structure</span></a> and <a href="https://mathstodon.xyz/tags/dynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dynamics</span></a>.</p><p>So, are you curious to learn about the mechanisms that a certain <a href="https://mathstodon.xyz/tags/fascist" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fascist</span></a> owner of a social network uses to push people to vote for far-right candidates? And do you want to know the most efficient way <a href="https://mathstodon.xyz/tags/democratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>democratic</span></a> governments have to bring down his evil network of satellites if he keeps breaking the law? Join us!</p><p>The event will take place from 25 June to 2 July at the International Institute of Physics of the Federal University of Rio Grande do Norte, in Natal, <a href="https://mathstodon.xyz/tags/Brazil" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Brazil</span></a> </p><p>Please boost widely and send to anyone who you think may be interested, especially students and postdocs!</p><p><a href="https://www.iip.ufrn.br/eventsdetail.php?inf===QTUdWM" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">iip.ufrn.br/eventsdetail.php?i</span><span class="invisible">nf===QTUdWM</span></a></p>