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27 Jan 2023: andx(n) is the (scalar or vector) input for exam-ple numbern.

13 Feb 2023: The posterior can then, for exam-ple, be used to make inference about the value of theoutput, y, at a previously unseen position in inputspace, x, by computing the predictive distributionwhich

13 Feb 2023: For exam-ple, Gaussian process regression can be de-rived this way from Bayesian linear regres-sion. ... It iswell known that PCA has this property, but, for exam-ple, factor analysis (FA) does not [9], thus one cannotexpect a kernel version of FA

13 Feb 2023: Figure 5 showsthe results. We found that the BHC lower boundswere higher (and hence tighter) than the mean lowerbounds of all variational methods in the three exam-ples (in fact, BHC ... In these exam-. 3 4 5 6 7 8 90. 0.2.

13 Feb 2023: zkL] and the targets arechosen to beyk = zk. We train a GP model with Gaussian kernel on only 100 exam-ples — enough to obtain a 1-step ahead normalized mean squarederror

13 Feb 2023: It is generally possible to split measurements into explanatory variables (for exam-ple: age, smoking, alcohol, sun exposure) and outcomes (e.g.

13 Feb 2023: This effect has been show empirically on several real world exam-ples.

27 Jan 2023: Cognitive Science: computational linguistics, philosophy of mind,. • Economics: decision theory, game theory, operational research. •

13 Feb 2023: In both exam-ples, it is not fully known how to explicitly describeclasses of relations that are believed to exist (and itis a nuisance to select negative examples by hand tolearn ... analogical reasoningquestion from a SAT-like exam where for a given

13 Feb 2023: Corresponding author. The authors gratefully acknowledge the support of the Brain-Gain Smart Mix Programme of the Netherlands Ministry of Economic Affairs andthe Netherlands Ministry of Education, Culture and Science.