We consider a multivariate distributional recursion of sum type, as arises in the probabilistic analysis of algorithms and random trees. We prove an upper tail bound for the solution using Chernoff's ...

After earlier explaining how to compute disorder and split data in his exploration of machine learning decision tree classifiers, resident data scientist Dr. James McCaffrey of Microsoft Research now ...

Advances in Applied Probability, Vol. 41, No. 3 (SEPTEMBER 2009), pp. 845-873 (29 pages) Large deviation principles and related results are given for a class of Markov chains associated to the 'leaves ...

A decision tree classifier is a machine learning (ML) prediction system that generates rules such as "IF income < 28.0 AND education >= 14.0 THEN politicalParty = 2." Using a decision tree classifier ...