arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.12157cs.LGphysics.data-anstat.ML
收藏

A Bayesian machine scientist to aid in the solution of challenging scientific problems

ICREA(加泰罗尼亚研究与高级研究所);Universitat Rovira i Virgili(罗维拉-依维尔基里大学);East Carolina University(东卡罗来纳大学);SIRIS Academic(SIRIS学术机构)

Roger Guimera, Ignasi Reichardt, Antoni Aguilar-Mogas, Francesco A Massucci, Manuel Miranda, Jordi Pallares, Marta Sales-Pardo

英文摘要:

Closed-form, interpretable mathematical models have been instrumental for advancing our understanding of the world; with the data revolution, we may now be in a position to uncover new such models for many systems from physics to the social sciences. However, to deal with increasing amounts of data, we need "machine scientists" that are able to extract these models automatically from data. Here, we introduce a Bayesian machine scientist, which establishes the plausibility of models using explicit approximations to the exact marginal posterior over models and establishes its prior expectations about models by learning from a large empirical corpus of mathematical expressions. It explores the space of models using Markov chain Monte Carlo. We show that this approach uncovers accurate models for synthetic and real data and provides out-of-sample predictions that are more accurate than those of existing approaches and of other nonparametric methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑