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Complex Systems: A Physicist's Viewpoint (G. Parisi)
- throwaway1239Mx 5y agoworking link: https://arxiv.org/abs/cond-mat/0205297 https://arxiv.org/abs/cond-mat/0205297
- codethief 5y agoThe link seems to be broken. I suppose this is the correct one: https://arxiv.org/abs/cond-mat/0205297 https://arxiv.org/abs/cond-mat/0205297
- photon-torpedo 5y agoFor easier reading in the browser: https://www.arxiv-vanity.com/papers/cond-mat/0205297/ https://www.arxiv-vanity.com/papers/cond-mat/0205297/
- Koshkin 5y ago(2013) So, the viewpoint seems to be that high complexity is analogous to low entropy (and that complexity can be measured, and predictions about the system's behavior can be made, using methods similar to those used in statistical physics)?
- teorema 5y agoI think (I would have to reread it more carefully) is Parisi's argument is that probabilistic models can sometimes be necessary even with deterministic systems that are well-characterized because the systems are extremely sensitive to information that might be difficult to obtained (i.e., measure). I think compression/algorithmic complexity frameworks are relevant in that they imply in complex systems deterministic-like prediction with very narrow posteriors will require larger and larger computational resources. Ie the concentration of the predictive posterior depends on the computational resources available.