Geiger, Mario; Spigler, Stefano; Jacot, Arthur; Wyart, Matthieu Disentangling feature and lazy training in deep neural networks. (English) Zbl 1459.68184 J. Stat. Mech. Theory Exp. 2020, No. 11, Article ID 113301, 27 p. (2020). MSC: 68T07 82C32 PDFBibTeX XMLCite \textit{M. Geiger} et al., J. Stat. Mech. Theory Exp. 2020, No. 11, Article ID 113301, 27 p. (2020; Zbl 1459.68184) Full Text: DOI arXiv
Geiger, Mario; Jacot, Arthur; Spigler, Stefano; Gabriel, Franck; Sagun, Levent; d’Ascoli, Stéphane; Biroli, Giulio; Hongler, Clément; Wyart, Matthieu Scaling description of generalization with number of parameters in deep learning. (English) Zbl 1459.82250 J. Stat. Mech. Theory Exp. 2020, No. 2, Article ID 023401, 23 p. (2020). MSC: 82C32 68T05 PDFBibTeX XMLCite \textit{M. Geiger} et al., J. Stat. Mech. Theory Exp. 2020, No. 2, Article ID 023401, 23 p. (2020; Zbl 1459.82250) Full Text: DOI arXiv
Baldassi, Carlo; Della Vecchia, Riccardo; Lucibello, Carlo; Zecchina, Riccardo Clustering of solutions in the symmetric binary perceptron. (English) Zbl 1459.82249 J. Stat. Mech. Theory Exp. 2020, No. 7, Article ID 073303, 33 p. (2020). MSC: 82C32 82D30 PDFBibTeX XMLCite \textit{C. Baldassi} et al., J. Stat. Mech. Theory Exp. 2020, No. 7, Article ID 073303, 33 p. (2020; Zbl 1459.82249) Full Text: DOI arXiv
Aubin, Benjamin; Maillard, Antoine; Barbier, Jean; Krzakala, Florent; Macris, Nicolas; Zdeborová, Lenka The committee machine: computational to statistical gaps in learning a two-layers neural network. (English) Zbl 1459.82248 J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124023, 51 p. (2019). MSC: 82C32 PDFBibTeX XMLCite \textit{B. Aubin} et al., J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124023, 51 p. (2019; Zbl 1459.82248) Full Text: DOI arXiv
Gabrié, Marylou; Manoel, Andre; Luneau, Clément; Barbier, Jean; Macris, Nicolas; Krzakala, Florent; Zdeborová, Lenka Entropy and mutual information in models of deep neural networks. (English) Zbl 1459.94076 J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124014, 16 p. (2019). MSC: 94A17 62M45 68T07 82C32 PDFBibTeX XMLCite \textit{M. Gabrié} et al., J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124014, 16 p. (2019; Zbl 1459.94076) Full Text: DOI arXiv
Baity-Jesi, Marco; Sagun, Levent; Geiger, Mario; Spigler, Stefano; Ben Arous, Gérard; Cammarota, Chiara; LeCun, Yann; Wyart, Matthieu; Biroli, Giulio Comparing dynamics: deep neural networks versus glassy systems. (English) Zbl 1459.82317 J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124013, 15 p. (2019). MSC: 82D30 82C32 82C44 PDFBibTeX XMLCite \textit{M. Baity-Jesi} et al., J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124013, 15 p. (2019; Zbl 1459.82317) Full Text: DOI arXiv Link
Terada, Yu; Obuchi, Tomoyuki; Isomura, Takuya; Kabashima, Yoshiyuki Objective and efficient inference for couplings in neuronal network. (English) Zbl 1459.92010 J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124010, 14 p. (2019). MSC: 92B20 62M45 92C20 PDFBibTeX XMLCite \textit{Y. Terada} et al., J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124010, 14 p. (2019; Zbl 1459.92010) Full Text: DOI arXiv
Pennington, Jeffrey; Worah, Pratik Nonlinear random matrix theory for deep learning. (English) Zbl 1459.60012 J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124005, 14 p. (2019). MSC: 60B20 62M45 92B20 15B52 PDFBibTeX XMLCite \textit{J. Pennington} and \textit{P. Worah}, J. Stat. Mech. Theory Exp. 2019, No. 12, Article ID 124005, 14 p. (2019; Zbl 1459.60012) Full Text: DOI
Agliari, Elena; Alemanno, Francesco; Barra, Adriano; Fachechi, Alberto Dreaming neural networks: rigorous results. (English) Zbl 1457.82322 J. Stat. Mech. Theory Exp. 2019, No. 8, Article ID 083503, 21 p. (2019). MSC: 82C32 82D30 05C80 PDFBibTeX XMLCite \textit{E. Agliari} et al., J. Stat. Mech. Theory Exp. 2019, No. 8, Article ID 083503, 21 p. (2019; Zbl 1457.82322) Full Text: DOI arXiv
Huang, Haiping Statistical mechanics of unsupervised feature learning in a restricted Boltzmann machine with binary synapses. (English) Zbl 1457.82323 J. Stat. Mech. Theory Exp. 2017, No. 5, Article ID 053302, 25 p. (2017). MSC: 82C32 PDFBibTeX XMLCite \textit{H. Huang}, J. Stat. Mech. Theory Exp. 2017, No. 5, Article ID 053302, 25 p. (2017; Zbl 1457.82323) Full Text: DOI arXiv
Cowan, J. D.; Neuman, J.; Kiewiet, B.; van Drongelen, W. Self-organized criticality in a network of interacting neurons. (English) Zbl 1456.82802 J. Stat. Mech. Theory Exp. 2013, No. 4, Paper No. P04030, 24 p. (2013). MSC: 82C32 82C28 PDFBibTeX XMLCite \textit{J. D. Cowan} et al., J. Stat. Mech. Theory Exp. 2013, No. 4, Paper No. P04030, 24 p. (2013; Zbl 1456.82802) Full Text: DOI arXiv
Advani, Madhu; Lahiri, Subhaneil; Ganguli, Surya Statistical mechanics of complex neural systems and high dimensional data. (English) Zbl 1456.82801 J. Stat. Mech. Theory Exp. 2013, No. 3, Paper No. P03014, 66 p. (2013). MSC: 82C32 92C20 PDFBibTeX XMLCite \textit{M. Advani} et al., J. Stat. Mech. Theory Exp. 2013, No. 3, Paper No. P03014, 66 p. (2013; Zbl 1456.82801) Full Text: DOI arXiv
Nasser, Hassan; Marre, Olivier; Cessac, Bruno Spatio-temporal spike train analysis for large scale networks using the maximum entropy principle and Monte Carlo method. (English) Zbl 1456.92031 J. Stat. Mech. Theory Exp. 2013, No. 3, Paper No. P03006, 30 p. (2013). MSC: 92C20 62M45 82M60 PDFBibTeX XMLCite \textit{H. Nasser} et al., J. Stat. Mech. Theory Exp. 2013, No. 3, Paper No. P03006, 30 p. (2013; Zbl 1456.92031) Full Text: DOI arXiv
Shang, Hua-Yan; Peng, Yu A new three-step cellular automaton model considering a realistic driving decision. (English) Zbl 1456.90050 J. Stat. Mech. Theory Exp. 2012, No. 10, Paper No. P10001, 14 p. (2012). MSC: 90B20 68Q85 PDFBibTeX XMLCite \textit{H.-Y. Shang} and \textit{Y. Peng}, J. Stat. Mech. Theory Exp. 2012, No. 10, Paper No. P10001, 14 p. (2012; Zbl 1456.90050) Full Text: DOI
Kropff, Emilio; Treves, Alessandro The storage capacity of Potts models for semantic memory retrieval. (English) Zbl 1456.82853 J. Stat. Mech. Theory Exp. 2005, No. 8, Paper No. P08010, 19 p. (2005). MSC: 82C44 82C32 82D30 92B20 PDFBibTeX XMLCite \textit{E. Kropff} and \textit{A. Treves}, J. Stat. Mech. Theory Exp. 2005, No. 8, Paper No. P08010, 19 p. (2005; Zbl 1456.82853) Full Text: DOI arXiv
Fort, H.; Viola, S. Spatial patterns and scale freedom in prisoner’s dilemma cellular automata with Pavlovian strategies. (English) Zbl 1072.82544 J. Stat. Mech. Theory Exp. 2005, No. 1, Paper No. P01010, 17 p. (2005). MSC: 82C32 60K35 91A15 91G80 PDFBibTeX XMLCite \textit{H. Fort} and \textit{S. Viola}, J. Stat. Mech. Theory Exp. 2005, No. 1, Paper No. P01010, 17 p. (2005; Zbl 1072.82544) Full Text: DOI arXiv
Ruttor, Andreas; Kinzel, Wolfgang; Kanter, Ido Neural cryptography with queries. (English) Zbl 1072.82546 J. Stat. Mech. Theory Exp. 2005, No. 1, Paper No. P01009, 14 p. (2005). MSC: 82C32 94A60 68T05 PDFBibTeX XMLCite \textit{A. Ruttor} et al., J. Stat. Mech. Theory Exp. 2005, No. 1, Paper No. P01009, 14 p. (2005; Zbl 1072.82546) Full Text: DOI arXiv
Challet, Damien; Pérez Castillo, Isaac Optimal static and dynamic recycling of defective binary devices. (English) Zbl 1073.82595 J. Stat. Mech. Theory Exp. 2004, No. 11, Paper No. P11003, 15 p. (2004). MSC: 82C32 68T05 92B20 65Y05 PDFBibTeX XMLCite \textit{D. Challet} and \textit{I. Pérez Castillo}, J. Stat. Mech. Theory Exp. 2004, No. 11, Paper No. P11003, 15 p. (2004; Zbl 1073.82595) Full Text: DOI arXiv
Donetti, Luca; Muñoz, Miguel A. Detecting network communities: a new systematic and efficient algorithm. (English) Zbl 1073.82596 J. Stat. Mech. Theory Exp. 2004, No. 10, Paper No. P10012, 15 p. (2004). MSC: 82C32 PDFBibTeX XMLCite \textit{L. Donetti} and \textit{M. A. Muñoz}, J. Stat. Mech. Theory Exp. 2004, No. 10, Paper No. P10012, 15 p. (2004; Zbl 1073.82596) Full Text: DOI arXiv
Roudi, Yasser; Treves, Alessandro An associative network with spatially organized connectivity. (English) Zbl 1083.82024 J. Stat. Mech. Theory Exp. 2004, No. 7, Paper No. P07010, 25 p. (2004). MSC: 82C32 82D30 PDFBibTeX XMLCite \textit{Y. Roudi} and \textit{A. Treves}, J. Stat. Mech. Theory Exp. 2004, No. 7, Paper No. P07010, 25 p. (2004; Zbl 1083.82024) Full Text: DOI arXiv
Levine, E.; Mukamel, D.; Ziv, G. The condensation transition in zero-range processes with diffusion. (English) Zbl 1083.82021 J. Stat. Mech. Theory Exp. 2004, No. 5, Paper No. P05001, 10 p. (2004). MSC: 82C26 60K35 82C32 PDFBibTeX XMLCite \textit{E. Levine} et al., J. Stat. Mech. Theory Exp. 2004, No. 5, Paper No. P05001, 10 p. (2004; Zbl 1083.82021) Full Text: DOI arXiv