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Topological representations are rapidly becoming a popular way to capture and encode higher-order interactions in complex systems.
Random walk with persistence and external bias
Clifford S Patlak · 1953
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The elements of statistical learning
Jerome Friedman, Trevor Hastie, and Robert Tibshirani · 2001
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Statistical mechanics of complex networks
Réka Albert and Albert-László Barabási · 2002
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The architecture of complex weighted networks
Alain Barrat, Marc Barthelemy, Romualdo Pastor-Satorras, and Alessandro Vespignani · 2004
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Self-organization of collaboration networks
José J Ramasco, Sergey N Dorogovtsev, and Romualdo Pastor-Satorras · 2004
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Persistence barcodes for shapes
Gunnar Carlsson, Afra Zomorodian, Anne Collins, and Leonidas J Guibas · 2005
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Complex networks : Structure and dynamics
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Modularity and community structure in networks
Mark EJ Newman · 2006
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Control using higher order laplacians in network topologies
Abubakr Muhammad and Magnus Egerstedt · 2006
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Barcodes: the persistent topology of data
Robert Ghrist · 2008
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Maps of random walks on complex networks reveal community structure
Martin Rosvall and Carl T Bergstrom · 2008
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Fast unfolding of communities in large networks
Vincent D Blondel, Jean-Loup Guillaume, Renaud Lambiotte, and Etienne Lefebvre · 2008
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Mark Newman · 2010
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A geometric model for on-line social networks
Anthony Bonato, Jeannette Janssen, and Paweł Prałat · 2010
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Community detection in graphs
Santo Fortunato · 2010
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Finding statistically significant communities in networks
Andrea Lancichinetti, Filippo Radicchi, José J Ramasco, and Santo Fortunato · 2011
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Probability measures on the space of persistence diagrams
Yuriy Mileyko, Sayan Mukherjee, and John Harer · 2011
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Maximal-entropy random walks in complex networks with limited information
Roberta Sinatra, Jesús Gómez-Gardenes, Renaud Lambiotte, Vincenzo Nicosia, and Vito Latora · 2011
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The human connectome project: A data acquisition perspective
D.C. Van Essen, K. Ugurbil, E. Auerbach, D. Barch, T.E.J. Behrens, R. Bucholz, A. Chang, L. Chen, M. Corbetta, S.W. Curtiss, S. Della Penna, D. Feinberg, M.F. Glasser, N. Harel, A.C. Heath, L. Larson-Prior, D. Marcus, G. Michalareas, S. Moeller, R. Oostenveld, S.E. Petersen, F. Prior, B.L. Schlaggar, S.M. Smith, A.Z. Snyder, J. Xu, and E. Yacoub · 2012
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Elements of information theory
Thomas M Cover and Joy A Thomas · 2012
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Persistent homology of collaboration networks
Corrie J Carstens and Kathy J Horadam · 2013
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Spectral methods for community detection and graph partitioning
Mark EJ Newman · 2013
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Topological strata of weighted complex networks
Giovanni Petri, Martina Scolamiero, Irene Donato, and Francesco Vaccarino · 2013
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Efficient Estimation of Word Representations in Vector Space
Tomas Mikolov, Kai Chen, Greg Corrado, and Jeffrey Dean · 2013
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Distributed representations of words and phrases and their compositionality
Tomas Mikolov, Ilya Sutskever, Kai Chen, Greg Corrado, and Jeffrey Dean · 2013
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Resting-state fmri in the human connectome project
Stephen M. Smith, Christian F. Beckmann, Jesper Andersson, Edward J. Auerbach, Janine Bijsterbosch, Gwenaëlle Douaud, Eugene Duff, David A. Feinberg, Ludovica Griffanti, Michael P. Harms, Michael Kelly, Timothy Laumann, Karla L. Miller, Steen Moeller, Steve Petersen, Jonathan Power, Gholamreza Salimi-Khorshidi, Abraham Z. Snyder, An T. Vu, Mark W. Woolrich, Junqian Xu, Essa Yacoub, Kamil Uğurbil, David C. Van Essen, and Matthew F. Glasser · 2013
Random simplicial complexes
Armindo Costa and Michael Farber · 2016
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Complex Networks: Principles, Methods and Applications
Vito Latora, Vincenzo Nicosia, and Giovanni Russo · 2017
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Topological data analysis for extracting hidden features of client data
Klaus B Schebesch and Ralf W Stecking · 2017
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The shape of collaborations
Alice Patania, Giovanni Petri, and Francesco Vaccarino · 2017
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Network neuroscience
Danielle S Bassett and Olaf Sporns · 2017
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Topological analysis of data
Alice Patania, Francesco Vaccarino, and Giovanni Petri · 2017
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Homological scaffolds of brain functional networks
Giovanni Petri, Paul Expert, Federico Turkheimer, Robin Carhart-Harris, David Nutt, Peter J Hellyer, and Francesco Vaccarino · 2014
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word2vec explained: deriving mikolov et al.’s negative-sampling word-embedding method
Yoav Goldberg and Omer Levy · 2014
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Deepwalk: Online learning of social representations
Bryan Perozzi, Rami Al-Rfou, and Steven Skiena · 2014
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Mitigation of infectious disease at school: targeted class closure vs school closure
Valerio Gemmetto, Alain Barrat, and Ciro Cattuto · 2014
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Mitigation of infectious disease at school: targeted class closure vs school closure
Valerio Gemmetto, Alain Barrat, and Ciro Cattuto · 2014
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Unveiling patterns of international communities in a global city using mobile phone data
Paolo Bajardi, Matteo Delfino, André Panisson, Giovanni Petri, and Michele Tizzoni · 2015
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Frédéric Chazal and Bertrand Michel · 2017
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Emergent hyperbolic network geometry
Ginestra Bianconi and Christoph Rahmede · 2017
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Instantaneous brain dynamics mapped to a continuous state space
Jacob C.W. Billings, Alessio Medda, Sadia Shakil, Xiaohong Shen, Amrit Kashyap, Shiyang Chen, Anzar Abbas, Xiaodi Zhang, Maysam Nezafati, Wen-Ju Pan, Gordon J. Berman, and Shella D. Keilholz · 2017
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Functional connectivity dynamics of the resting state across the human adult lifespan
Demian Battaglia, Boudou Thomas, Enrique CA Hansen, Sabrina Chettouf, Andreas Daffertshofer, Anthony R McIntosh, Joelle Zimmermann, Petra Ritter, and Viktor Jirsa · 2017
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Community detection in networks: A multidisciplinary review
Muhammad Aqib Javed, Muhammad Shahzad Younis, Siddique Latif, Junaid Qadir, and Adeel Baig · 2018
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Topological percolation on hyperbolic simplicial complexes
Ginestra Bianconi and Robert M Ziff · 2018
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Simplicial activity driven model
Giovanni Petri and Alain Barrat · 2018
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Graph embedding techniques, applications, and performance: A survey
Palash Goyal and Emilio Ferrara · 2018
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Can co-location be used as a proxy for face-to-face contacts?
Mathieu G’enois and Alain Barrat · 2018
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Simplicial closure and higher-order link prediction
Austin R Benson, Rediet Abebe, Michael T Schaub, Ali Jadbabaie, and Jon Kleinberg · 2018
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Random walks on simplicial complexes and the normalized hodge laplacian
Michael T Schaub, Austin R Benson, Paul Horn, Gabor Lippner, and Ali Jadbabaie · 2018
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From networks to optimal higher-order models of complex systems
Renaud Lambiotte, Martin Rosvall, and Ingo Scholtes · 2019
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Simplicial models of social contagion
Iacopo Iacopini, Giovanni Petri, Alain Barrat, and Vito Latora · 2019
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Abrupt desynchronization and extensive multistability in globally coupled oscillator simplexes
Per Sebastian Skardal and Alex Arenas · 2019
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Generating dynamical neuroimaging spatiotemporal representations (dyneusr) using topological data analysis
Caleb Geniesse, Olaf Sporns, Giovanni Petri, and Manish Saggar · 2019
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From louvain to leiden: guaranteeing well-connected communities
Vincent A Traag, Ludo Waltman, and Nees Jan van Eck · 2019
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