The Symmetric Perceptron: a Teacher-Student Scenario.

Aurélien Decelle Complutense University of Madrid, Spain University of Paris-Saclay, Paris, France https://www.lri.fr/~adecelle/site/index.html https://www.linkedin.com/in/aur%C3%A9lien-decelle-947309105/ https://scholar.google.com/citations?user=__OKD-kAAAAJ https://twitter.com/aureliendecelle https://github.com/AurelienDecelle https://orcid.org/0000-0002-3017-0858 https://www.wikidata.org/entity/Q83238015

Giovanni Catania Aurélien Decelle Suhanee Korpe The Symmetric Perceptron: a Teacher-Student Scenario. 2026 March abs/2603.25440 CoRR https://doi.org/10.48550/arXiv.2603.25440 db/journals/corr/corr2603.html#abs-2603-25440 streams/journals/corr

Aurélien Decelle Alfonso De Jesus Navas Gómez Beatriz Seoane Distributional simplicity bias and effective convexity in Energy Based Models. 2026 May abs/2605.07844 CoRR https://doi.org/10.48550/arXiv.2605.07844 db/journals/corr/corr2605.html#abs-2605-07844 streams/journals/corr

Giovanni Catania Aurélien Decelle Gianluca Manzan Beatriz Seoane Daniele Tantari A solvable model for unsupervised federated learning. 2026 June abs/2606.13045 CoRR https://doi.org/10.48550/arXiv.2606.13045 db/journals/corr/corr2606.html#abs-2606-13045 streams/journals/corr

Nicolas Béreux Aurélien Decelle Cyril Furtlehner Beatriz Seoane Equilibrium Training of Energy-Based Models with Parallel Trajectory Tempering. 2026 July abs/2607.27077 CoRR https://doi.org/10.48550/arXiv.2607.27077 db/journals/corr/corr2607.html#abs-2607-27077 streams/journals/corr

Alessandra Carbone Aurélien Decelle Lorenzo Rosset Beatriz Seoane Fast and Functional Structured Data Generators Rooted in Out-of-Equilibrium Physics. 1309-1316 2025 February 47 IEEE Trans. Pattern Anal. Mach. Intell. 2 https://doi.org/10.1109/TPAMI.2024.3495999 db/journals/pami/pami47.html#CarboneDRS25 streams/journals/pami

Nicolas Béreux Aurélien Decelle Cyril Furtlehner Lorenzo Rosset Beatriz Seoane Fast training and sampling of Restricted Boltzmann Machines. 2025 ICLR https://openreview.net/forum?id=3fGtV4Zfgq conf/iclr/2025 db/conf/iclr/iclr2025.html#BereuxDFRS25 Giovanni Catania Aurélien Decelle Cyril Furtlehner Beatriz Seoane A Theoretical Framework For Overfitting In Energy-based Modeling. 2025 ICML https://proceedings.mlr.press/v267/catania25a.html https://openreview.net/forum?id=SDC3D4vdpb conf/icml/2025 db/conf/icml/icml2025.html#CataniaDFS25

Aurélien Decelle Alfonso De Jesus Navas Gómez Beatriz Seoane Inferring High-Order Couplings with Neural Networks. 2025 January abs/2501.06108 CoRR https://doi.org/10.48550/arXiv.2501.06108 db/journals/corr/corr2501.html#abs-2501-06108 streams/journals/corr

Giovanni Catania Aurélien Decelle Cyril Furtlehner Beatriz Seoane A theoretical framework for overfitting in energy-based modeling. 2025 January abs/2501.19158 CoRR https://doi.org/10.48550/arXiv.2501.19158 db/journals/corr/corr2501.html#abs-2501-19158 streams/journals/corr

Tony Bonnaire Giovanni Catania Aurélien Decelle Beatriz Seoane On the role of non-linear latent features in bipartite generative neural networks. 2025 June abs/2506.10552 CoRR https://doi.org/10.48550/arXiv.2506.10552 db/journals/corr/corr2506.html#abs-2506-10552 streams/journals/corr

Antoine Szatkownik Aurélien Decelle Beatriz Seoane Nicolas Béreux Léo Planche Guillaume Charpiat Burak Yelmen Flora Jay Cyril Furtlehner PRIVET: Privacy Metric Based on Extreme Value Theory. 2025 October abs/2510.24233 CoRR https://doi.org/10.48550/arXiv.2510.24233 db/journals/corr/corr2510.html#abs-2510-24233 streams/journals/corr

Dimitrios Bachtis Giulio Biroli Aurélien Decelle Beatriz Seoane Cascade of phase transitions in the training of energy-based models. 2024 NeurIPS http://papers.nips.cc/paper_files/paper/2024/hash/648a5a590ca6f2bb5de53f938e230160-Abstract-Conference.html conf/nips/2024 db/conf/nips/neurips2024.html#BachtisBDS24

Marion Ullmo Nabila Aghanim Aurélien Decelle Miguel Aragon-Calvo Predicting large scale cosmological structure evolution with GAN-based autoencoders. 2024 abs/2403.02171 CoRR https://doi.org/10.48550/arXiv.2403.02171 db/journals/corr/corr2403.html#abs-2403-02171

Dimitrios Bachtis Giulio Biroli Aurélien Decelle Beatriz Seoane Cascade of phase transitions in the training of Energy-based models. 2024 abs/2405.14689 CoRR https://doi.org/10.48550/arXiv.2405.14689 db/journals/corr/corr2405.html#abs-2405-14689

Nicolas Béreux Aurélien Decelle Cyril Furtlehner Lorenzo Rosset Beatriz Seoane Fast, accurate training and sampling of Restricted Boltzmann Machines. 2024 abs/2405.15376 CoRR https://doi.org/10.48550/arXiv.2405.15376 db/journals/corr/corr2405.html#abs-2405-15376

Burak Yelmen Aurélien Decelle Leila Lea Boulos Antoine Szatkownik Cyril Furtlehner Guillaume Charpiat Flora Jay Deep convolutional and conditional neural networks for large-scale genomic data generation. 2023 October 19 PLoS Comput. Biol. 10 https://doi.org/10.1371/journal.pcbi.1011584 db/journals/ploscb/ploscb19.html#YelmenDBSFCJ23

Elisabeth Agoritsas Giovanni Catania Aurélien Decelle Beatriz Seoane Explaining the effects of non-convergent MCMC in the training of Energy-Based Models. 322-336 2023 ICML https://proceedings.mlr.press/v202/agoritsas23a.html conf/icml/2023 db/conf/icml/icml2023.html#AgoritsasCDS23

Elisabeth Agoritsas Giovanni Catania Aurélien Decelle Beatriz Seoane Explaining the effects of non-convergent sampling in the training of Energy-Based Models. 2023 abs/2301.09428 CoRR https://doi.org/10.48550/arXiv.2301.09428 db/journals/corr/corr2301.html#abs-2301-09428

Aurélien Decelle Lorenzo Rosset Beatriz Seoane Unsupervised hierarchical clustering using the learning dynamics of RBMs. 2023 abs/2302.01851 CoRR https://doi.org/10.48550/arXiv.2302.01851 db/journals/corr/corr2302.html#abs-2302-01851

Alessandra Carbone Aurélien Decelle Lorenzo Rosset Beatriz Seoane Fast and Functional Structured Data Generators Rooted in Out-of-Equilibrium Physics. 2023 abs/2307.06797 CoRR https://doi.org/10.48550/arXiv.2307.06797 db/journals/corr/corr2307.html#abs-2307-06797

Giovanni Catania Aurélien Decelle Beatriz Seoane The Copycat Perceptron: Smashing Barriers Through Collective Learning. 2023 abs/2308.03743 CoRR https://doi.org/10.48550/arXiv.2308.03743 db/journals/corr/corr2308.html#abs-2308-03743

Aurélien Decelle Cyril Furtlehner Alfonso De Jesus Navas Gómez Beatriz Seoane Inferring effective couplings with Restricted Boltzmann Machines. 2023 abs/2309.02292 CoRR https://doi.org/10.48550/arXiv.2309.02292 db/journals/corr/corr2309.html#abs-2309-02292

Tony Bonnaire Aurélien Decelle Nabila Aghanim Regularization of Mixture Models for Robust Principal Graph Learning. 9119-9130 2022 44 IEEE Trans. Pattern Anal. Mach. Intell. 12 https://doi.org/10.1109/TPAMI.2021.3124973 db/journals/pami/pami44.html#BonnaireDA22

Erik Aurell Jean Barbier Aurélien Decelle Roberto Mulet The mighty force: statistical inference and high-dimensional statistics. 2022 abs/2205.00750 CoRR https://doi.org/10.48550/arXiv.2205.00750 db/journals/corr/corr2205.html#abs-2205-00750

Nicolas Béreux Aurélien Decelle Cyril Furtlehner Beatriz Seoane Learning a Restricted Boltzmann Machine using biased Monte Carlo sampling. 2022 abs/2206.01310 CoRR https://doi.org/10.48550/arXiv.2206.01310 db/journals/corr/corr2206.html#abs-2206-01310

Adriano Barra Giovanni Catania Aurélien Decelle Beatriz Seoane Thermodynamics of bidirectional associative memories. 2022 abs/2211.09694 CoRR https://doi.org/10.48550/arXiv.2211.09694 db/journals/corr/corr2211.html#abs-2211-09694

Aurélien Decelle Cyril Furtlehner Beatriz Seoane Equilibrium and non-Equilibrium regimes in the learning of Restricted Boltzmann Machines. 5345-5359 2021 NeurIPS https://proceedings.neurips.cc/paper/2021/hash/2aedcba61ca55ceb62d785c6b7f10a83-Abstract.html conf/nips/2021 db/conf/nips/neurips2021.html#DecelleFS21

Aurélien Decelle Cyril Furtlehner Beatriz Seoane Equilibrium and non-Equilibrium regimes in the learning of Restricted Boltzmann Machines. 2021 abs/2105.13889 CoRR https://arxiv.org/abs/2105.13889 db/journals/corr/corr2105.html#abs-2105-13889

Tony Bonnaire Aurélien Decelle Nabila Aghanim Regularization of Mixture Models for Robust Principal Graph Learning. 2021 abs/2106.09035 CoRR https://arxiv.org/abs/2106.09035 db/journals/corr/corr2106.html#abs-2106-09035

Giancarlo Fissore Yufei Han Aurélien Decelle Cyril Furtlehner Robust Multi-Output Learning with Highly Incomplete Data via Restricted Boltzmann Machines. 2020 STAIRS@ECAI https://ceur-ws.org/Vol-2655/paper13.pdf conf/ecai/2020stairs db/conf/ecai/stairs2020.html#FissoreHDF20

Tony Bonnaire Aurélien Decelle Nabila Aghanim Cascade of Phase Transitions for Multi-Scale Clustering. 2020 abs/2010.07955 CoRR https://arxiv.org/abs/2010.07955 db/journals/corr/corr2010.html#abs-2010-07955

Marion Ullmo Aurélien Decelle Nabila Aghanim Encoding large scale cosmological structure with Generative Adversarial Networks. 2020 abs/2011.05244 CoRR https://arxiv.org/abs/2011.05244 db/journals/corr/corr2011.html#abs-2011-05244

Aurélien Decelle Cyril Furtlehner Restricted Boltzmann Machine, recent advances and mean-field theory. 2020 abs/2011.11307 CoRR https://arxiv.org/abs/2011.11307 db/journals/corr/corr2011.html#abs-2011-11307

Aurélien Decelle Victor Martin-Mayor Beatriz Seoane Learning a Gauge Symmetry with Neural Networks. 2019 abs/1904.07637 CoRR http://arxiv.org/abs/1904.07637 db/journals/corr/corr1904.html#abs-1904-07637

Aurélien Decelle Cyril Furtlehner Gaussian-Spherical Restricted Boltzmann Machines. 2019 abs/1910.14544 CoRR http://arxiv.org/abs/1910.14544 db/journals/corr/corr1910.html#abs-1910-14544

Giancarlo Fissore Aurélien Decelle Cyril Furtlehner Yufei Han Robust Multi-Output Learning with Highly Incomplete Data via Restricted Boltzmann Machines. 2019 abs/1912.09382 CoRR http://arxiv.org/abs/1912.09382 db/journals/corr/corr1912.html#abs-1912-09382

Aurélien Decelle Giancarlo Fissore Cyril Furtlehner Thermodynamics of Restricted Boltzmann Machines and related learning dynamics. 2018 abs/1803.01960 CoRR http://arxiv.org/abs/1803.01960 db/journals/corr/corr1803.html#abs-1803-01960

Aurélien Decelle Giancarlo Fissore Cyril Furtlehner Spectral Learning of Restricted Boltzmann Machines. 2017 abs/1708.02917 CoRR http://arxiv.org/abs/1708.02917 db/journals/corr/corr1708.html#abs-1708-02917

Aurélien Decelle Janina Hüttel Alaa Saade Cristopher Moore Computational Complexity, Phase Transitions, and Message-Passing for Community Detection. 2014 abs/1409.2290 CoRR http://arxiv.org/abs/1409.2290 db/journals/corr/corr1409.html#DecelleHSM14

Shogo Yamanaka Masayuki Ohzeki Aurélien Decelle Detection of cheating by decimation algorithm. 2014 abs/1410.3596 CoRR http://arxiv.org/abs/1410.3596 db/journals/corr/corr1410.html#YamanakaOD14

Aurélien Decelle Florent Krzakala Cristopher Moore Lenka Zdeborová Phase transition in the detection of modules in sparse networks http://arxiv.org/abs/1102.1182 2011 CoRR abs/1102.1182 db/journals/corr/corr1102.html#abs-1102-1182

Aurélien Decelle Florent Krzakala Cristopher Moore Lenka Zdeborová Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications http://arxiv.org/abs/1109.3041 2011 CoRR abs/1109.3041 db/journals/corr/corr1109.html#abs-1109-3041

Nabila Aghanim Elisabeth Agoritsas Miguel Aragon-Calvo Erik Aurell Dimitrios Bachtis Jean Barbier Adriano Barra Nicolas Béreux Giulio Biroli Tony Bonnaire Leila Lea Boulos Alessandra Carbone Giovanni Catania Guillaume Charpiat Giancarlo Fissore Cyril Furtlehner Alfonso De Jesus Navas Gómez Yufei Han Janina Hüttel Flora Jay Suhanee Korpe Florent Krzakala Gianluca Manzan Victor Martin-Mayor Cristopher Moore Roberto Mulet Masayuki Ohzeki Léo Planche Lorenzo Rosset Alaa Saade Beatriz Seoane Antoine Szatkownik Daniele Tantari Marion Ullmo Shogo Yamanaka Burak Yelmen Lenka Zdeborová