La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme CrossRef Cited-by Linking Program . Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).
Article cité :
Werner Krauth , Marc Mézard
J. Phys. France, 50 20 (1989) 3057-3066
Citations de cet article :
231 articles | Pages :
Exact full-RSB SAT/UNSAT transition in infinitely wide two-layer neural networks
Brandon L. Annesi, Enrico Malatesta and Francesco Zamponi SciPost Physics 18 (4) (2025) https://doi.org/10.21468/SciPostPhys.18.4.118
High-dimensional learning of narrow neural networks
Hugo Cui Journal of Statistical Mechanics: Theory and Experiment 2025 (2) 023402 (2025) https://doi.org/10.1088/1742-5468/adb1d6
Robust pattern retrieval in an optical Hopfield neural network
Michael Katidis, Khalid Musa, Santosh Kumar, Zhaotong Li, Frederick Long, Chunlei Qu and Yu-Ping Huang Optics Letters 50 (1) 225 (2025) https://doi.org/10.1364/OL.546785
Coding schemes in neural networks learning classification tasks
Alexander van Meegen and Haim Sompolinsky Nature Communications 16 (1) (2025) https://doi.org/10.1038/s41467-025-58276-6
Capacity lower bound for the Ising perceptron
Jian Ding and Nike Sun Probability Theory and Related Fields (2025) https://doi.org/10.1007/s00440-025-01364-x
How to escape atypical regions in the symmetric binary perceptron: A journey through connected-solutions states
Damien Barbier SciPost Physics 18 (3) (2025) https://doi.org/10.21468/SciPostPhys.18.3.115
Storage Capacity Evaluation of Quantum Perceptron by Replica Method
Mitsuru Urushibata and Masayuki Ohzeki Journal of the Physical Society of Japan 94 (5) (2025) https://doi.org/10.7566/JPSJ.94.054002
Storage properties of a quantum perceptron
Katerina Gratsea, Valentin Kasper and Maciej Lewenstein Physical Review E 110 (2) (2024) https://doi.org/10.1103/PhysRevE.110.024127
Frozen 1‐RSB structure of the symmetric Ising perceptron
Will Perkins and Changji Xu Random Structures & Algorithms 64 (4) 856 (2024) https://doi.org/10.1002/rsa.21202
On the atypical solutions of the symmetric binary perceptron
Damien Barbier, Ahmed El Alaoui, Florent Krzakala and Lenka Zdeborová Journal of Physics A: Mathematical and Theoretical 57 (19) 195202 (2024) https://doi.org/10.1088/1751-8121/ad3a4a
Gaussian universality of perceptrons with random labels
Federica Gerace, Florent Krzakala, Bruno Loureiro, Ludovic Stephan and Lenka Zdeborová Physical Review E 109 (3) (2024) https://doi.org/10.1103/PhysRevE.109.034305
Brice Huang 1126 (2024) https://doi.org/10.1109/FOCS61266.2024.00074
Generalizations of Parisi’s replica symmetry breaking and overlaps in random energy models
Bernard Derrida and Peter Mottishaw Comptes Rendus. Physique 25 (G1) 329 (2024) https://doi.org/10.5802/crphys.199
Spin glass theory and its new challenge: structured disorder
Marc Mézard Indian Journal of Physics 98 (11) 3757 (2024) https://doi.org/10.1007/s12648-023-03029-8
Statistical mechanics of the maximum-average submatrix problem
Vittorio Erba, Florent Krzakala, Rodrigo Pérez Ortiz and Lenka Zdeborová Journal of Statistical Mechanics: Theory and Experiment 2024 (1) 013403 (2024) https://doi.org/10.1088/1742-5468/ad1391
Searching for (sharp) thresholds in random structures: Where are we now?
Will Perkins Bulletin of the American Mathematical Society 62 (1) 113 (2024) https://doi.org/10.1090/bull/1857
Statistical mechanics of continual learning: Variational principle and mean-field potential
Chan Li, Zhenye Huang, Wenxuan Zou and Haiping Huang Physical Review E 108 (1) (2023) https://doi.org/10.1103/PhysRevE.108.014309
Ashwin Sah and Mehtaab Sawhney 2369 (2023) https://doi.org/10.1109/FOCS57990.2023.00145
Quantum annealing for neural network optimization problems: A new approach via tensor network simulations
Guglielmo Lami, Pietro Torta, Giuseppe E. Santoro and Mario Collura SciPost Physics 14 (5) (2023) https://doi.org/10.21468/SciPostPhys.14.5.117
Nobel Lecture: Multiple equilibria
Giorgio Parisi Reviews of Modern Physics 95 (3) (2023) https://doi.org/10.1103/RevModPhys.95.030501
Yu Feng and Nicolas Brunel (2023) https://doi.org/10.1101/2023.07.17.549266
Eren C. Kızıldağ and Tanay Wakhare 1 (2023) https://doi.org/10.1109/SampTA59647.2023.10301203
Quantum approximate optimization algorithm applied to the binary perceptron
Pietro Torta, Glen B. Mbeng, Carlo Baldassi, Riccardo Zecchina and Giuseppe E. Santoro Physical Review B 107 (9) (2023) https://doi.org/10.1103/PhysRevB.107.094202
Typical and atypical solutions in nonconvex neural networks with discrete and continuous weights
Carlo Baldassi, Enrico M. Malatesta, Gabriele Perugini and Riccardo Zecchina Physical Review E 108 (2) (2023) https://doi.org/10.1103/PhysRevE.108.024310
Gradient descent dynamics and the jamming transition in infinite dimensions
Alessandro Manacorda and Francesco Zamponi Journal of Physics A: Mathematical and Theoretical 55 (33) 334001 (2022) https://doi.org/10.1088/1751-8121/ac7f06
Algorithmic Pure States for the Negative Spherical Perceptron
Ahmed El Alaoui and Mark Sellke Journal of Statistical Physics 189 (2) (2022) https://doi.org/10.1007/s10955-022-02976-6
Learning through atypical phase transitions in overparameterized neural networks
Carlo Baldassi, Clarissa Lauditi, Enrico M. Malatesta, et al. Physical Review E 106 (1) (2022) https://doi.org/10.1103/PhysRevE.106.014116
Quantum walk in a reinforced free-energy landscape: Quantum annealing with reinforcement
A. Ramezanpour Physical Review A 106 (1) (2022) https://doi.org/10.1103/PhysRevA.106.012418
Equivalence between belief propagation instability and transition to replica symmetry breaking in perceptron learning systems
Yang Zhao, Junbin Qiu, Mingshan Xie and Haiping Huang Physical Review Research 4 (2) (2022) https://doi.org/10.1103/PhysRevResearch.4.023023
Emmanuel Abbe, Shuangping Li and Allan Sly 860 (2022) https://doi.org/10.1145/3519935.3519975
Closest-vector problem and the zero-temperature
p
-spin landscape for lossy compression
Alfredo Braunstein, Louise Budzynski, Stefano Crotti and Federico Ricci-Tersenghi Physical Review E 106 (5) (2022) https://doi.org/10.1103/PhysRevE.106.054101
Storage capacity of networks with discrete synapses and sparsely encoded memories
Yu Feng and Nicolas Brunel Physical Review E 105 (5) (2022) https://doi.org/10.1103/PhysRevE.105.054408
Entropic Alternatives to Initialization
Daniele Musso SSRN Electronic Journal (2022) https://doi.org/10.2139/ssrn.4057054
Emmanuel Abbe, Shuangping Li and Allan Sly 327 (2022) https://doi.org/10.1109/FOCS52979.2021.00041
(Dis)assortative partitions on random regular graphs
Freya Behrens, Gabriel Arpino, Yaroslav Kivva and Lenka Zdeborová Journal of Physics A: Mathematical and Theoretical 55 (39) 395004 (2022) https://doi.org/10.1088/1751-8121/ac8b46
Macroscopic Analysis of Vector Approximate Message Passing in a Model-Mismatched Setting
Takashi Takahashi and Yoshiyuki Kabashima IEEE Transactions on Information Theory 68 (8) 5579 (2022) https://doi.org/10.1109/TIT.2022.3163342
Disordered systems insights on computational hardness
David Gamarnik, Cristopher Moore and Lenka Zdeborová Journal of Statistical Mechanics: Theory and Experiment 2022 (11) 114015 (2022) https://doi.org/10.1088/1742-5468/ac9cc8
David Gamarnik, Eren C. Kizildag, Will Perkins and Changji Xu 576 (2022) https://doi.org/10.1109/FOCS54457.2022.00061
The discrete random energy model and one step replica symmetry breaking
Bernard Derrida and Peter Mottishaw Journal of Physics A: Mathematical and Theoretical 55 (26) 265002 (2022) https://doi.org/10.1088/1751-8121/ac71e9
Good speciation and endogenous business cycles in a constraint satisfaction macroeconomic model
Dhruv Sharma, Jean-Philippe Bouchaud, Marco Tarzia and Francesco Zamponi Journal of Statistical Mechanics: Theory and Experiment 2021 (6) 063403 (2021) https://doi.org/10.1088/1742-5468/ac014a
Teacher-Student Learning for a Binary Perceptron with Quantum Fluctuations
Shunta Arai, Masayuki Ohzeki and Kazuyuki Tanaka Journal of the Physical Society of Japan 90 (7) 074002 (2021) https://doi.org/10.7566/JPSJ.90.074002
Unveiling the Structure of Wide Flat Minima in Neural Networks
Carlo Baldassi, Clarissa Lauditi, Enrico M. Malatesta, Gabriele Perugini and Riccardo Zecchina Physical Review Letters 127 (27) (2021) https://doi.org/10.1103/PhysRevLett.127.278301
Statistical Mechanics of Neural Networks
Haiping Huang Statistical Mechanics of Neural Networks 195 (2021) https://doi.org/10.1007/978-981-16-7570-6_13
Mean field analysis of reverse annealing for code-division multiple-access multiuser detection
Shunta Arai, Masayuki Ohzeki and Kazuyuki Tanaka Physical Review Research 3 (3) (2021) https://doi.org/10.1103/PhysRevResearch.3.033006
Statistical Mechanics of Neural Networks
Haiping Huang Statistical Mechanics of Neural Networks 59 (2021) https://doi.org/10.1007/978-981-16-7570-6_7
Sharp threshold for the Ising perceptron model
Changji Xu The Annals of Probability 49 (5) (2021) https://doi.org/10.1214/21-AOP1511
Statistical Physics of Complex Systems
Eric Bertin Springer Series in Synergetics, Statistical Physics of Complex Systems 181 (2021) https://doi.org/10.1007/978-3-030-79949-6_6
The overlap gap property: A topological barrier to optimizing over random structures
David Gamarnik Proceedings of the National Academy of Sciences 118 (41) (2021) https://doi.org/10.1073/pnas.2108492118
Interlimb Coordination: A New Order Parameter and a Marker of Fatigue During Quasi-Isometric Exercise?
Pablo Vázquez, Monika Petelczyc, Robert Hristovski and Natàlia Balagué Frontiers in Physiology 11 (2021) https://doi.org/10.3389/fphys.2020.612709
External Stimuli on Neural Networks: Analytical and Numerical Approaches
Evaldo M. F. Curado, Nilo B. Melgar and Fernando D. Nobre Entropy 23 (8) 1034 (2021) https://doi.org/10.3390/e23081034
Statistical Mechanics of Neural Networks
Haiping Huang Statistical Mechanics of Neural Networks 99 (2021) https://doi.org/10.1007/978-981-16-7570-6_9
Will Perkins and Changji Xu 1579 (2021) https://doi.org/10.1145/3406325.3451119
rFBP: Replicated Focusing Belief Propagation algorithm
Nico Curti, Daniele Dall’Olio, Daniel Remondini, Gastone Castellani and Enrico Giampieri Journal of Open Source Software 5 (54) 2663 (2020) https://doi.org/10.21105/joss.02663
A Constraint-Satisfaction Agent-Based Model for the Macro-economy
Dhruv Sharma, Jean-Philippe Bouchaud, Marco Tarzia and Francesco Zamponi SSRN Electronic Journal (2020) https://doi.org/10.2139/ssrn.3632335
Clustering of solutions in the symmetric binary perceptron
Carlo Baldassi, Riccardo Della Vecchia, Carlo Lucibello and Riccardo Zecchina Journal of Statistical Mechanics: Theory and Experiment 2020 (7) 073303 (2020) https://doi.org/10.1088/1742-5468/ab99be
Takashi Takahashi and Yoshiyuki Kabashima 1403 (2020) https://doi.org/10.1109/ISIT44484.2020.9173999
Shaping the learning landscape in neural networks around wide flat minima
Carlo Baldassi, Fabrizio Pittorino and Riccardo Zecchina Proceedings of the National Academy of Sciences 117 (1) 161 (2020) https://doi.org/10.1073/pnas.1908636117
Vijendran G. Venkoparao, Saurav Musunuru and Rahul Kumar Dubey 1 (2019) https://doi.org/10.1145/3373477.3373698
Storage capacity in symmetric binary perceptrons
Benjamin Aubin, Will Perkins and Lenka Zdeborová Journal of Physics A: Mathematical and Theoretical 52 (29) 294003 (2019) https://doi.org/10.1088/1751-8121/ab227a
Active Online Learning in the Binary Perceptron Problem
Hai-Jun Zhou Communications in Theoretical Physics 71 (2) 243 (2019) https://doi.org/10.1088/0253-6102/71/2/243
Properties of the Geometry of Solutions and Capacity of Multilayer Neural Networks with Rectified Linear Unit Activations
Carlo Baldassi, Enrico M. Malatesta and Riccardo Zecchina Physical Review Letters 123 (17) (2019) https://doi.org/10.1103/PhysRevLett.123.170602
Jian Ding and Nike Sun 816 (2019) https://doi.org/10.1145/3313276.3316383
Self-planting: digging holes in rough landscapes
Dhruv Sharma, Jean-Philippe Bouchaud, Marco Tarzia and Francesco Zamponi Journal of Statistical Mechanics: Theory and Experiment 2019 (12) 123301 (2019) https://doi.org/10.1088/1742-5468/ab4800
Statistical mechanical analysis of sparse linear regression as a variable selection problem
Tomoyuki Obuchi, Yoshinori Nakanishi-Ohno, Masato Okada and Yoshiyuki Kabashima Journal of Statistical Mechanics: Theory and Experiment 2018 (10) 103401 (2018) https://doi.org/10.1088/1742-5468/aae02c
Role of Synaptic Stochasticity in Training Low-Precision Neural Networks
Carlo Baldassi, Federica Gerace, Hilbert J. Kappen, et al. Physical Review Letters 120 (26) (2018) https://doi.org/10.1103/PhysRevLett.120.268103
Efficiency of quantum vs. classical annealing in nonconvex learning problems
Carlo Baldassi and Riccardo Zecchina Proceedings of the National Academy of Sciences 115 (7) 1457 (2018) https://doi.org/10.1073/pnas.1711456115
Local entropy as a measure for sampling solutions in constraint satisfaction problems
Carlo Baldassi, Alessandro Ingrosso, Carlo Lucibello, Luca Saglietti and Riccardo Zecchina Journal of Statistical Mechanics: Theory and Experiment 2016 (2) 023301 (2016) https://doi.org/10.1088/1742-5468/2016/02/023301
Learning may need only a few bits of synaptic precision
Carlo Baldassi, Federica Gerace, Carlo Lucibello, Luca Saglietti and Riccardo Zecchina Physical Review E 93 (5) (2016) https://doi.org/10.1103/PhysRevE.93.052313
Statistical physics of inference: thresholds and algorithms
Lenka Zdeborová and Florent Krzakala Advances in Physics 65 (5) 453 (2016) https://doi.org/10.1080/00018732.2016.1211393
Subdominant Dense Clusters Allow for Simple Learning and High Computational Performance in Neural Networks with Discrete Synapses
Carlo Baldassi, Alessandro Ingrosso, Carlo Lucibello, Luca Saglietti and Riccardo Zecchina Physical Review Letters 115 (12) (2015) https://doi.org/10.1103/PhysRevLett.115.128101
A Max-Sum algorithm for training discrete neural networks
Carlo Baldassi and Alfredo Braunstein Journal of Statistical Mechanics: Theory and Experiment 2015 (8) P08008 (2015) https://doi.org/10.1088/1742-5468/2015/08/P08008
Origin of the computational hardness for learning with binary synapses
Haiping Huang and Yoshiyuki Kabashima Physical Review E 90 (5) (2014) https://doi.org/10.1103/PhysRevE.90.052813
Statistical mechanics of complex neural systems and high dimensional data
Madhu Advani, Subhaneil Lahiri and Surya Ganguli Journal of Statistical Mechanics: Theory and Experiment 2013 (03) P03014 (2013) https://doi.org/10.1088/1742-5468/2013/03/P03014
Neural associative memories and sparse coding
Günther Palm Neural Networks 37 165 (2013) https://doi.org/10.1016/j.neunet.2012.08.013
Entropy landscape of solutions in the binary perceptron problem
Haiping Huang, K Y Michael Wong and Yoshiyuki Kabashima Journal of Physics A: Mathematical and Theoretical 46 (37) 375002 (2013) https://doi.org/10.1088/1751-8113/46/37/375002
Feed-back neural networks with discrete weights
Lijuan Wang, Qingguo Zhou, Tao Jin and Hong Zhao Neural Computing and Applications 22 (6) 1063 (2013) https://doi.org/10.1007/s00521-012-0867-8
Replication-based inference algorithms for hard computational problems
Roberto C. Alamino, Juan P. Neirotti and David Saad Physical Review E 88 (1) (2013) https://doi.org/10.1103/PhysRevE.88.013313
Counting solutions from finite samplings
Haiping Huang and Haijun Zhou Physical Review E 85 (2) (2012) https://doi.org/10.1103/PhysRevE.85.026118
Linear Complexity Lossy Compressor for Binary Redundant Memoryless Sources
Kazushi Mimura Journal of the Physical Society of Japan 80 (9) 093801 (2011) https://doi.org/10.1143/JPSJ.80.093801
Combined local search strategy for learning in networks of binary synapses
Haiping Huang and Haijun Zhou EPL (Europhysics Letters) 96 (5) 58003 (2011) https://doi.org/10.1209/0295-5075/96/58003
Belief Propagation for Error Correcting Codes and Lossy Compression Using Multilayer Perceptrons
Kazushi Mimura, Florent Cousseau and Masato Okada Journal of the Physical Society of Japan 80 (3) 034802 (2011) https://doi.org/10.1143/JPSJ.80.034802
Learning the Large-Scale Structure of the MAX-SAT Landscape Using Populations
M Qasem and Adam Prügel-Bennett IEEE Transactions on Evolutionary Computation 14 (4) 518 (2010) https://doi.org/10.1109/TEVC.2009.2033579
Learning by random walks in the weight space of the Ising perceptron
Haiping Huang and Haijun Zhou Journal of Statistical Mechanics: Theory and Experiment 2010 (08) P08014 (2010) https://doi.org/10.1088/1742-5468/2010/08/P08014
Social interaction as a heuristic for combinatorial optimization problems
José F. Fontanari Physical Review E 82 (5) (2010) https://doi.org/10.1103/PhysRevE.82.056118
The typical performance of irregular low-density generator-matrix codes for lossy compression
Kazushi Mimura Journal of Physics A: Mathematical and Theoretical 42 (13) 135002 (2009) https://doi.org/10.1088/1751-8113/42/13/135002
Constraint satisfaction problems and neural networks: A statistical physics perspective
Marc Mézard and Thierry Mora Journal of Physiology-Paris 103 (1-2) 107 (2009) https://doi.org/10.1016/j.jphysparis.2009.05.013
Are binary synapses superior to graded weight representations in stochastic attractor networks?
Jason Satel, Thomas Trappenberg and Alan Fine Cognitive Neurodynamics 3 (3) 243 (2009) https://doi.org/10.1007/s11571-009-9083-3
Generalization Learning in a Perceptron with Binary Synapses
Carlo Baldassi Journal of Statistical Physics 136 (5) 902 (2009) https://doi.org/10.1007/s10955-009-9822-1
Weight space structure and analysis using a finite replica number in the Ising perceptron
Tomoyuki Obuchi and Yoshiyuki Kabashima Journal of Statistical Mechanics: Theory and Experiment 2009 (12) P12014 (2009) https://doi.org/10.1088/1742-5468/2009/12/P12014
Learning from correlated patterns by simple perceptrons
Takashi Shinzato and Yoshiyuki Kabashima Journal of Physics A: Mathematical and Theoretical 42 (1) 015005 (2009) https://doi.org/10.1088/1751-8113/42/1/015005
Constraint satisfaction problems with isolated solutions are hard
Lenka Zdeborová and Marc Mézard Journal of Statistical Mechanics: Theory and Experiment 2008 (12) P12004 (2008) https://doi.org/10.1088/1742-5468/2008/12/P12004
Generalization of finite size Boolean perceptrons with genetic algorithms
D.M.L. Barbato and J.J. De Groote Neurocomputing 71 (16-18) 3650 (2008) https://doi.org/10.1016/j.neucom.2008.02.014
Inference from correlated patterns: a unified theory for perceptron learning and linear vector channels
Y Kabashima Journal of Physics: Conference Series 95 012001 (2008) https://doi.org/10.1088/1742-6596/95/1/012001
Perceptron capacity revisited: classification ability for correlated patterns
Takashi Shinzato and Yoshiyuki Kabashima Journal of Physics A: Mathematical and Theoretical 41 (32) 324013 (2008) https://doi.org/10.1088/1751-8113/41/32/324013
Florent Cousseau, Kazushi Mimura and Masato Okada 509 (2008) https://doi.org/10.1109/ISIT.2008.4595038
Statistical mechanics of lossy compression for nonmonotonic multilayer perceptrons
Florent Cousseau, Kazushi Mimura, Toshiaki Omori and Masato Okada Physical Review E 78 (2) (2008) https://doi.org/10.1103/PhysRevE.78.021124
Statistical Mechanical Study of Code-Division Multiple-Access Multiuser Detectors –Analysis of Replica Symmetric and One-Step Replica Symmetry Breaking Solutions–
Mika Yoshida, Tatsuya Uezu, Toshiyuki Tanaka and Masato Okada Journal of the Physical Society of Japan 76 (5) 054003 (2007) https://doi.org/10.1143/JPSJ.76.054003
Efficient supervised learning in networks with binary synapses
Carlo Baldassi, Alfredo Braunstein, Nicolas Brunel and Riccardo Zecchina Proceedings of the National Academy of Sciences 104 (26) 11079 (2007) https://doi.org/10.1073/pnas.0700324104
Complex Systems
R. Monasson Les Houches, Complex Systems 85 1 (2007) https://doi.org/10.1016/S0924-8099(07)80008-4
Eluding oblivion with smart stochastic selection of synaptic updates
Stefano Fusi and Walter Senn Chaos: An Interdisciplinary Journal of Nonlinear Science 16 (2) (2006) https://doi.org/10.1063/1.2213587
Pages :
1 à 100 sur 231 articles