Statistical mechanics



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. β€œUnreasonable Effectiveness of Learning Neural Networks: From Accessible States and Robust Ensembles to Basic Algorithmic Schemes.” Proceedings of the National Academy of Sciences 113 (48): E7655–62.
Barbier, Jean. 2015. β€œStatistical Physics and Approximate Message-Passing Algorithms for Sparse Linear Estimation Problems in Signal Processing and Coding Theory.” arXiv:1511.01650 [Cs, Math], November.
Castellani, Tommaso, and Andrea Cavagna. 2005. β€œSpin-Glass Theory for Pedestrians.” Journal of Statistical Mechanics: Theory and Experiment 2005 (05): P05012.
Ghavasieh, Arsham, Carlo Nicolini, and Manlio De Domenico. 2020. β€œStatistical Physics of Complex Information Dynamics.” Physical Review E 102 (5): 052304.
Lin, Henry W., and Max Tegmark. 2016a. β€œCritical Behavior from Deep Dynamics: A Hidden Dimension in Natural Language.” arXiv:1606.06737 [Cond-Mat], June.
β€”β€”β€”. 2016b. β€œWhy Does Deep and Cheap Learning Work so Well?” arXiv:1608.08225 [Cond-Mat, Stat], August.
Mehta, Pankaj, and David J. Schwab. 2014. β€œAn Exact Mapping Between the Variational Renormalization Group and Deep Learning.” arXiv:1410.3831 [Cond-Mat, Stat], October.
Onsager, L., and S. Machlup. 1953. β€œFluctuations and Irreversible Processes.” Physical Review 91 (6): 1505–12.
Shwartz-Ziv, Ravid, and Naftali Tishby. 2017. β€œOpening the Black Box of Deep Neural Networks via Information.” arXiv:1703.00810 [Cs], March.
Wiatowski, Thomas, Philipp Grohs, and Helmut BΓΆlcskei. 2018. β€œEnergy Propagation in Deep Convolutional Neural Networks.” IEEE Transactions on Information Theory 64 (7): 1–1.

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