On the Relationship between Bayesian Error Bars and the Input Data Density

@inproceedings{Williams2009OnTR,
  title={On the Relationship between Bayesian Error Bars and the Input Data Density},
  author={Christopher K. I. Williams and Cazhaow S. Qazaz and Bishop},
  year={2009}
}
W e investigate the dependence of Bayesian error bars o n the distribution of data in input space. For generalized linear regression models we derive a n upper bound o n the error bars which shows that, in the neighbourhood of the data points, the error bars are substantially reduced f rom their prior values. For regions of high data density we also show that the contribution t o the output variance due to the uncertainty in the weights can exhibit a n approximate inverse proportionality t o… CONTINUE READING

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