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Statistical foundations of machine learning

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Statistical foundations of machine learning

https://khothuvien.cori!HandbookGianluca BontempiMachine Learning Group Computer Science Department Universite Libre de Bruxelles. ULBBelgique42888Con

Statistical foundations of machine learningntentsIndex21Introduction91.1Notations........................................................ 152Foundations of probability192.1The random model of u

ncertainly................................. 1!)2.1.1Axiomatic definition of probability........................ 212.1.2Symmetrical definition of proba Statistical foundations of machine learning

bility..................... 212.1.3Frequcnlist definition of probability .................... 222.1.4The Law of Large Numbers.........................

Statistical foundations of machine learning

........ 222.1.5Independence and conditional probability.................. 212.1.6Combined experiments...................................... 252.1.7T

https://khothuvien.cori!HandbookGianluca BontempiMachine Learning Group Computer Science Department Universite Libre de Bruxelles. ULBBelgique42888Con

Statistical foundations of machine learning........................................... 292.3Discrete random variables........................................ 302.3.1Parametric probability funct

ion............................ 312.3.2Expected value, variance and standard deviation of a discreter.v............................................... Statistical foundations of machine learning

......... 312.3.3Moments of a discrete r.v................................. 332.3.1Entropy and relative entropy.............................. 332.4Co

Statistical foundations of machine learning

ntinuous random variable....................................... 342.1.1Mean, variance, moments of a continuous r.v............... 352.5Joint probabili

https://khothuvien.cori!HandbookGianluca BontempiMachine Learning Group Computer Science Department Universite Libre de Bruxelles. ULBBelgique42888Con

Statistical foundations of machine learning................................ 372.5.3independence.............................................. 372.5.4Conditional independence....................

.............. 382.5.5Entropy in the continuous case............................ 392.6Common univariate discrete probability functions................ Statistical foundations of machine learning

... 41f2.6.1The Bernoulli trial...................................... '102.6.2The Binomial probability function......................... 40

https://khothuvien.cori!HandbookGianluca BontempiMachine Learning Group Computer Science Department Universite Libre de Bruxelles. ULBBelgique42888Con

https://khothuvien.cori!HandbookGianluca BontempiMachine Learning Group Computer Science Department Universite Libre de Bruxelles. ULBBelgique42888Con

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