The scientist’s investigation covers issues in Discrete mathematics, Combinatorics, Random graph, Regret and Cyber-Insurance. The concepts of his Discrete mathematics study are interwoven with issues in Inference and Partition. His Combinatorics research incorporates themes from Gibbs measure and Weak convergence.
His work carried out in the field of Random graph brings together such families of science as Random regular graph, Pathwidth, Indifference graph and Chordal graph. His research integrates issues of Dimension and Leverage, Artificial intelligence in his study of Regret. His work is dedicated to discovering how Cyber-Insurance, Insurance policy are connected with Computer security and other disciplines.
Marc Lelarge mainly investigates Combinatorics, Random graph, Discrete mathematics, Algorithm and Graph. His Combinatorics research is multidisciplinary, incorporating perspectives in Matrix, Eigenvalues and eigenvectors and Stochastic block model. His Random graph study combines topics in areas such as Theoretical computer science, Indifference graph, Logarithm, Adjacency matrix and Bipartite graph.
His Indifference graph research incorporates elements of Pathwidth and Chordal graph. His Discrete mathematics study incorporates themes from Event, Queueing theory and Applied mathematics. His work on Asymptotically optimal algorithm as part of general Algorithm research is frequently linked to Belief propagation, thereby connecting diverse disciplines of science.
His primary areas of study are Combinatorics, Artificial intelligence, Theoretical computer science, Gaussian and Eigenvalues and eigenvectors. His study involves Random graph and Degree, a branch of Combinatorics. His Giant component study in the realm of Random graph interacts with subjects such as Graph isomorphism problem.
The Statistical model research Marc Lelarge does as part of his general Artificial intelligence study is frequently linked to other disciplines of science, such as Autoencoder and Personalized medicine, therefore creating a link between diverse domains of science. The Theoretical computer science study combines topics in areas such as Equivariant map, Quadratic assignment problem, Cluster analysis, Graph embedding and Matrix multiplication. The concepts of his Eigenvalues and eigenvectors study are interwoven with issues in Matrix, Topology and Laplace operator.
His primary areas of investigation include Combinatorics, Stochastic block model, Random walk, Random graph and Degree. In general Combinatorics, his work in Path is often linked to Ihara zeta function linking many areas of study. He has included themes like Random regular graph, Theoretical computer science, Cluster analysis and Graph in his Random walk study.
His Random regular graph research is under the purview of Discrete mathematics. His Discrete mathematics research includes elements of Poisson distribution and Interpolation. Marc Lelarge combines subjects such as Matrix, Ramanujan's sum and Coupling with his study of Random graph.
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Universality in polytope phase transitions and message passing algorithms
Mohsen Bayati;Marc Lelarge;Andrea Montanari.
Annals of Applied Probability (2015)
Non-backtracking Spectrum of Random Graphs: Community Detection and Non-regular Ramanujan Graphs
Charles Bordenave;Marc Lelarge;Laurent Massoulie.
foundations of computer science (2015)
Combinatorial bandits revisited
Richard Combes;M. Sadegh Talebi;Alexandre Proutiere;Marc Lelarge.
neural information processing systems (2015)
Economic Incentives to Increase Security in the Internet: The Case for Insurance
M. Lelarge;J. Bolot.
international conference on computer communications (2009)
Balanced graph edge partition
Florian Bourse;Marc Lelarge;Milan Vojnovic.
knowledge discovery and data mining (2014)
Community Detection in the Labelled Stochastic Block Model
Simon Heimlicher;Marc Lelarge;Laurent Massoulié.
arXiv: Social and Information Networks (2012)
Diffusion and cascading behavior in random networks
Games and Economic Behavior (2012)
A local mean field analysis of security investments in networks
Marc Lelarge;Jean Bolot.
Proceedings of the 3rd international workshop on Economics of networked systems (2008)
Fundamental limits of symmetric low-rank matrix estimation
Marc Lelarge;Marc Lelarge;Léo Miolane;Léo Miolane.
Probability Theory and Related Fields (2019)
Network externalities and the deployment of security features and protocols in the internet
Marc Lelarge;Jean Bolot.
measurement and modeling of computer systems (2008)
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