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By Alexander Gammerman, Zhiyuan Luo, Jesús Vega, Vladimir Vovk

This e-book constitutes the refereed court cases of the fifth foreign Symposium on Conformal and Probabilistic Prediction with purposes, COPA 2016, held in Madrid, Spain, in April 2016.

The 14 revised complete papers offered including 1 invited paper have been conscientiously reviewed and chosen from 23 submissions and canopy subject matters on conception of conformal prediction; functions of conformal prediction; and computing device learning.

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54 P. Toccaceli et al. most height 3. Examples can be found in [17]. The resulting data set is a sparse matrix of attributes (the signatures, on the columns) and examples (the compounds, on the rows).

The OE criterion (OE standing for “observed excess”) uses the average number l+k 1 |Γi \ {yi }| k i=l+1 of false labels included in the prediction sets at significance level ; smaller values are preferable. Table 1. The ten criteria studied in this paper: the two basic ones in the upper section; the four other prior ones in the middle section; and the four observed ones in the lower section -free -dependent S (sum of p-values) N (number of labels) U (unconfidence) F (fuzziness) M (multiple) E (excess) OU (observed unconfidence) OM (observed multiple) OE (observed excess) OF (observed fuzziness) Criteria of Efficiency 29 The ten criteria used in this paper are given in Table 1.

Morgan Kaufmann, San Francisco, CA (1990) 7. : Testing Statistical Hypotheses, 2nd edn. Springer, New York (1986) 8. : Distribution free prediction sets. J. Am. Stat. Assoc. 108, 278–287 (2013) 9. : Distribution free prediction bands for nonparametric regression. J. Roy. Stat. Soc. B 76, 71–96 (2014) 10. : Comparing the Bayes and typicalness frameworks. , De Raedt, L. ) ECML 2001. LNCS (LNAI), vol. 2167, pp. 360–371. Springer, Heidelberg (2001) 11. : Special issue of the conformal prediction and its applications.

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