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Abstract: The bias/variance decomposition of mean-squared error is well understood and relatively straightforward. In this note a similar simple decomposition is derived, valid for any kind of error measure that, when using the appropriate probability model, can be derived from a Kullback-Leibler divergence or loglikelihood. (Update)
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BibTeX entry: (Update)
Heskes, T. (1998). Bias-variance decompositions for likelihood-based estimators. Neural Computation, 10, 1425-1433. http://citeseer.comp.nus.edu.sg/70462.html More
@misc{ heskes98biasvariance,
author = "T. Heskes",
title = "Bias-variance decompositions for likelihood-based estimators",
text = "Heskes, T. (1998). Bias-variance decompositions for likelihood-based estimators.
Neural Computation, 10, 1425-1433.",
year = "1998",
url = "citeseer.comp.nus.edu.sg/70462.html" }
Citations (may not include all citations):301 Neural networks and the bias/variance dilemma (context) - Geman, Bienenstock et al. - 1992
183 Solving multiclass learning problems via error-correcting ou.. - Dietterich, Bakiri - 1995
89 and arcing classifiers (context) - Breiman - 1996
80 Bias plus variance decomposition for zeroone loss functions - Kohavi, Wolpert - 1996
44 Combining probability distributions: a critique and an annot.. (context) - Genest, Zidek - 1986
23 variance and prediction error for classification rules (context) - Tibshirani - 1996
19 and the curse of dimensionality (context) - Friedman - 1996
14 On bias plus variance - Wolpert - 1997
9 Regression with input-dependent noise: a Bayesian treatment (context) - Bishop, Qazaz - 1997
9 A multiplicative formula for aggregating probability assessm.. (context) - Bordley - 1982
8 On Kullback-Leibler loss and density estimation (context) - Hall - 1987
6 Selecting weighting factors in logarithmic opinion pools - Heskes - 1998
4 Using neural networks to model conditional multivariate dens.. (context) - Williams - 1996
3 Methods for combining experts (context) - Jacobs - 1995
2 Generalizations of the bias/variance decomposition for predi.. (context) - James, Hastie - 1997
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.ei.dtu.dk/staff/goutte/bias-var.html): More
Bias Plus Variance Decomposition for Zero-One Loss Functions - Kohavi, Wolpert (1996) (Correct)
Generalizations of the Bias/Variance Decomposition for.. - James, Hastie (1997) (Correct)
On Bias Plus Variance - Wolpert (1996) (Correct)
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