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Pattern Recognition and Machine Learning

Pattern Recognition and Machine Learning Solutions to the Exercises: Web-Edition Markus Svense n and Christopher M. Bishop Copyright c 2002 2009. This is the solutions manual (web-edition) for the book Pattern Recognition and Machine Learning (PRML; published by Springer in 2006). It contains solutions to the www exercises. This release was created September 8, 2009. Future releases with corrections to errors will be published on the PRML. web-site (see below). The authors would like to express their gratitude to the various people who have provided feedback on earlier releases of this document. In particular, the Bishop Reading Group , held in the Visual Geometry Group at the University of Oxford provided valuable comments and suggestions.

shown in Figure 1, and we see that the mode of the density px(x) is transformed via the sigmoid function to the mode of this curve. However, the density over y transforms instead according to (1.27) and is shown by the magenta curve on the left side of the diagram. Note that this has its mode shifted relative to the mode of the green curve.

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