Double descent
In statistics and machine learning, double descent is the phenomenon where a statistical model with a small number of parameters and a model with an extremely large number of parameters have a small error, but a model whose number of parameters is about the same as the number of data points used to train the model will have a large error.[1] This phenomenon seems to contradict the bias-variance tradeoff in classical statistics, which states that having too many parameters will yield an extremely large error.
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See also
References
- "Deep Double Descent". OpenAI. 2019-12-05. Retrieved 2022-08-12.
- Mikhail Belkin; Daniel Hsu; Ji Xu (2020). "Two Models of Double Descent for Weak Features". SIAM Journal on Mathematics of Data Science. 2 (4). doi:10.1137/20M1336072.
- Preetum Nakkiran; Gal Kaplun; Yamini Bansal; Tristan Yang; Boaz Barak; Ilya Sutskever (29 December 2021). "Deep double descent: where bigger models and more data hurt". Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd and SISSA Medialab srl. 2021. arXiv:1912.02292. doi:10.1088/1742-5468/ac3a74.
- Song Mei; Andrea Montanari (April 2022). "The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve". Communications on Pure and Applied Mathematics. 75 (4). arXiv:1908.05355. doi:10.1002/cpa.22008.
- Xiangyu Chang; Yingcong Li; Samet Oymak; Christos Thrampoulidis (2021). "Provable Benefits of Overparameterization in Model Compression: From Double Descent to Pruning Neural Networks". Proceedings of the AAAI Conference on Artificial Intelligence. 35 (8). arXiv:2012.08749.
- Mikhail Belkin; Daniel Hsu; Siyuan Ma; Soumik Mandal (2019). "Reconciling modern machine-learning practice and the classical bias–variance trade-off". Proceedings of the National Academy of Sciences of the United States of America. 116 (32). doi:10.1073/pnas.1903070116.
- Marco Loog; Tom Viering; Alexander Mey; Jesse H. Krijthe; David M. J. Tax (2020). "A brief prehistory of double descent". Proceedings of the National Academy of Sciences of the United States of America. 117 (16). doi:10.1073/pnas.2001875117.
External links
- Brent Werness; Jared Wilber. "Double Descent: Part 1: A Visual Introduction".
- Brent Werness; Jared Wilber. "Double Descent: Part 2: A Mathematical Explanation".
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