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Many questions of fundamental interest in todays science can be formulated as inference problems: Some partial, or noisy, observations are performed over a set of variables and the goal is to recover, or infer, the values of the variables based on the indirect information contained in the measurements.
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Hidetoshi Nishimori and KY Michael Wong · 1999
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M. Mézard and G. Parisi · 2001
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Community structure in social and biological networks
Michelle Girvan and Mark EJ Newman · 2002
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The thermodynamic limit in mean field spin glass models
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Analytic and algorithmic solution of random satisfiability problems
M. Mézard, G. Parisi, and R. Zecchina · 2002
Generalized approximate message passing for estimation with random linear mixing
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Patrick Charbonneau, Yuliang Jin, Giorgio Parisi, Corrado Rainone, Beatriz Seoane, and Francesco Zamponi · 2015
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Finding hidden cliques of size \ \backslash sqrt { \{ N/e } \} in nearly linear time
Yash Deshpande and Andrea Montanari · 2015
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Reference-less measurement of the transmission matrix of a highly scattering material using a dmd and phase retrieval techniques
Angélique Drémeau, Antoine Liutkus, David Martina, Ori Katz, Christophe Schülke, Florent Krzakala, Sylvain Gigan, and Laurent Daudet · 2015
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On the complexity of random satisfiability problems with planted solutions
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Statistical learning with sparsity: the lasso and generalizations
Trevor Hastie, Robert Tibshirani, and Martin Wainwright · 2015
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Statistical Physics, Optimization, Inference and Message-Passing Algorithms
Florent Krzakala, Federico Ricci-Tersenghi, Lenka Zdeborová, Riccardo Zecchina, Eric W. Tramel, and Leticia F. Cugliandolo · 2015
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Mmse of probabilistic low-rank matrix estimation: Universality with respect to the output channel
Thibault Lesieur, Florent Krzakala, and Lenka Zdeborová · 2015
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Phase transitions in sparse pca
Thibault Lesieur, Florent Krzakala, and Lenka Zdeborová · 2015
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Generalized turbo signal recovery for nonlinear measurements and orthogonal sensing matrices
Ting Liu, Chao-Kai Wen, Shi Jin, and Xiaohu You · 2015
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Computational barriers in minimax submatrix detection
Zongming Ma, Yihong Wu, et al · 2015
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Swept approximate message passing for sparse estimation
Andre Manoel, Florent Krzakala, Eric Tramel, and Lenka Zdeborovà · 2015
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Calorimetric glass transition in a mean-field theory approach
Manuel Sebastian Mariani, Giorgio Parisi, and Corrado Rainone · 2015
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On the limitation of spectral methods: From the gaussian hidden clique problem to rank-one perturbations of gaussian tensors
Andrea Montanari, Daniel Reichman, and Ofer Zeitouni · 2015
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Influence maximization in complex networks through optimal percolation
Flaviano Morone and Hernán A Makse · 2015
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Predicting percolation thresholds in networks
Filippo Radicchi · 2015
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Inference for generalized linear models via alternating directions and bethe free energy minimization
Sundeep Rangan, Alyson K Fletcher, Philip Schniter, and Ulugbek S Kamilov · 2015
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Assessing node risk and vulnerability in epidemics on networks
Tim Rogers · 2015
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Capacity-achieving sparse regression codes via approximate message passing decoding
Cynthia Rush, Adam Greig, and Ramji Venkataramanan · 2015
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Matrix completion from fewer entries: Spectral detectability and rank estimation
Alaa Saade, Florent Krzakala, and Lenka Zdeborová · 2015
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Spectral detection in the censored block model
Alaa Saade, Marc Lelarge, Florent Krzakala, and Lenka Zdeborová · 2015
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Compressive phase retrieval via generalized approximate message passing
Philip Schniter and Sundeep Rangan · 2015
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Adaptive damping and mean removal for the generalized approximate message passing algorithm
Jeremy Vila, Philip Schniter, Sundeep Rangan, Florent Krzakala, and Lenka Zdeborová · 2015
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Nonbacktracking operator for the Ising model and its applications in systems with multiple states
Pan Zhang · 2015
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Phase transitions and sample complexity in bayes-optimal matrix factorization
Yoshiyuki Kabashima, Florent Krzakala, Marc Mézard, Ayaka Sakata, and Lenka Zdeborová · 2016
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A theory of solving tap equations for ising models with general invariant random matrices
Manfred Opper, Burak Cakmak, and Ole Winther · 2016
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Approximate message passing with restricted boltzmann machine priors
Eric W Tramel, Angélique Drémeau, and Florent Krzakala · 2016
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Community detection in networks with unequal groups
Pan Zhang, Cristopher Moore, and MEJ Newman · 2016
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