The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Bayesian classification with Gaussian processes
Open accessAbstract
We consider the problem of assigning an input vector to one of m classes by predicting P(c|x) for c=1,...,m. For a two-class problem, the probability of class one given x is estimated by /spl sigma/(y(x)), where /spl sigma/(y)=1/(1+e/sup -y/). A Gaussian process prior is placed on y(x), and is combined with the training data to obtain predictions for new x points. We provide a Bayesian treatment, integrating over uncertainty in y and in the parameters that control the Gaussian process prior the necessary integration over y is carried out using Laplace's approximation. The method is generalized to multiclass problems (m>2) using the softmax function. We demonstrate the effectiveness of the method on a number of datasets.
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Citations
Cites
The Nature of Statistical Learning Theory
Vapnik, V. N. (1995) · doi:10.1007/978-1-4757-2440-0 · Cited by 39,138
Gelman, A., Carlin, J. B., Stern, H. S., & Rubin, D. B. (2003) · doi:10.1201/9780429258480 · Cited by 27,276
Spline Models for Observational Data
Wahba, G. (1990) · doi:10.1137/1.9781611970128 · Cited by 4,184
Cited by
Gaussian Processes for Machine Learning
Rasmussen, C. E., & Williams, C. K. I. (2005) · doi:10.7551/mitpress/3206.001.0001 · Cited by 11,705
“In the coming sections, we describe two analytic approximations which both approximate the non-Gaussian joint posterior with a Gaussian one: the first is the straightforward Laplace approximation method [Williams and Barber, 1998], and the second is the more sophisticated expectation propagation (EP) method due to Min…”
Self-citationRue, H., Martino, S., & Chopin, N. (2009) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2008.00700.x · Cited by 5,279
(2010) · doi:10.5555/1756006.1859921 · Cited by 1,924
Dataset Shift in Machine Learning
(2008) · doi:10.7551/mitpress/9780262170055.001.0001 · Cited by 1,553
de Figueiredo, A., Simas, C., Karafillakis, E., Paterson, P., & Larson, H. J. (2020) · The Lancet · doi:10.1016/s0140-6736(20)31558-0 · Cited by 1,143
Metadata
- Authors
- Williams, C. K. I., & Barber, D.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1998
- Volume
- 20
- Issue
- 12
- Pages
- 1342-1351
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2117063635
- Cited by
- 766
- References
- 3
- FWCI
- 10.50
- Type
- journal article
- Language
- en
- Open access
- green
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