Less bored by this than I used to be, since it turns out that not everything is ideal gases and spin glasses, as cute as classical statmech is.
See thermodynamics of computation, statistical mechanics of statistics, statistical mechanics of games, thermodynamics of life, quantum information etc.
References
Baldassi, Carlo, Christian Borgs, Jennifer T. Chayes, Alessandro Ingrosso, Carlo Lucibello, Luca Saglietti, and Riccardo Zecchina. 2016. βUnreasonable Effectiveness of Learning Neural Networks: From Accessible States and Robust Ensembles to Basic Algorithmic Schemes.β Proceedings of the National Academy of Sciences 113 (48): E7655β62.
Barbier, Jean. 2015. βStatistical Physics and Approximate Message-Passing Algorithms for Sparse Linear Estimation Problems in Signal Processing and Coding Theory.β arXiv:1511.01650 [Cs, Math], November.
Castellani, Tommaso, and Andrea Cavagna. 2005. βSpin-Glass Theory for Pedestrians.β Journal of Statistical Mechanics: Theory and Experiment 2005 (05): P05012.
Ghavasieh, Arsham, Carlo Nicolini, and Manlio De Domenico. 2020. βStatistical Physics of Complex Information Dynamics.β Physical Review E 102 (5): 052304.
Lin, Henry W., and Max Tegmark. 2016a. βCritical Behavior from Deep Dynamics: A Hidden Dimension in Natural Language.β arXiv:1606.06737 [Cond-Mat], June.
βββ. 2016b. βWhy Does Deep and Cheap Learning Work so Well?β arXiv:1608.08225 [Cond-Mat, Stat], August.
Mehta, Pankaj, and David J. Schwab. 2014. βAn Exact Mapping Between the Variational Renormalization Group and Deep Learning.β arXiv.
Onsager, L., and S. Machlup. 1953. βFluctuations and Irreversible Processes.β Physical Review 91 (6): 1505β12.
Pavon, Michele. 1989. βStochastic Control and Nonequilibrium Thermodynamical Systems.β Applied Mathematics and Optimization 19 (1): 187β202.
Shwartz-Ziv, Ravid, and Naftali Tishby. 2017. βOpening the Black Box of Deep Neural Networks via Information.β arXiv:1703.00810 [Cs], March.
Wiatowski, Thomas, Philipp Grohs, and Helmut BΓΆlcskei. 2018. βEnergy Propagation in Deep Convolutional Neural Networks.β IEEE Transactions on Information Theory 64 (7): 1β1.
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