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Titlebook: Bayesian Learning for Neural Networks; Radford M. Neal Book 1996 Springer Science+Business Media New York 1996 Fitting.Likelihood.algorith

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期刊全称Bayesian Learning for Neural Networks
影响因子2023Radford M. Neal
视频videohttp://file.papertrans.cn/182/181856/181856.mp4
学科分类Lecture Notes in Statistics
图书封面Titlebook: Bayesian Learning for Neural Networks;  Radford M. Neal Book 1996 Springer Science+Business Media New York 1996 Fitting.Likelihood.algorith
影响因子Artificial "neural networks" are widely used as flexible models for classification and regression applications, but questions remain about how the power of these models can be safely exploited when training data is limited. This book demonstrates how Bayesian methods allow complex neural network models to be used without fear of the "overfitting" that can occur with traditional training methods. Insight into the nature of these complex Bayesian models is provided by a theoretical investigation of the priors over functions that underlie them. A practical implementation of Bayesian neural network learning using Markov chain Monte Carlo methods is also described, and software for it is freely available over the Internet. Presupposing only basic knowledge of probability and statistics, this book should be of interest to researchers in statistics, engineering, and artificial intelligence.
Pindex Book 1996
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https://doi.org/10.1007/978-1-61779-267-0t hybrid Monte Carlo performs better than simple Metropolis,due to its avoidance of random walk behaviour. I also discuss variants of hybrid Monte Carlo in which dynamical computations are done using “partial gradients”, in which acceptance is based on a “window” of states,and in which momentum updates incorporate “persistence”.
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Hiroe Ohnishi,Yasuaki Oda,Hajime Ohgushiirrelevant inputs in tests on synthetic regression and classification problems. Tests on two real data sets showed that Bayesian neural network models, implemented using hybrid Monte Carlo, can produce good results when applied to realistic problems of moderate size.
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Conclusions and Further Work,oncluding chapter, I will review what has been accomplished in these areas, and describe on-going and potential future work to extend these results, both for neural networks and for other flexible Bayesian models.
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https://doi.org/10.1007/978-1-61779-794-1, challenges the common notion that one must limit the complexity of the model used when the amount of training data is small. I begin here by introducing the Bayesian framework, discussing past work on applying it to neural networks, and reviewing the basic concepts of Markov chain Monte Carlo implementation.
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Introduction,, challenges the common notion that one must limit the complexity of the model used when the amount of training data is small. I begin here by introducing the Bayesian framework, discussing past work on applying it to neural networks, and reviewing the basic concepts of Markov chain Monte Carlo implementation.
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