3 Building the tree 5 3.1 Splitting criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Incorporating losses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2.1 Generalized Gini index . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2.2 Altered priors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.3 Example: Stage C prosta...

We study the multi-armed bandit (MAB) problem where the agent receives a vectorial feedback that encodes many possibly competing objectives to be optimized. The goal of the agent is to find a policy, which can optimize these objectives simultaneously in a fair way. This multi-objective online optimization problem is formalized by using the Generalized Gini Index (GGI) aggregation function. We p...

BACKGROUND Although seasonality is a defining characteristic of many infectious diseases, few studies have described and compared seasonal patterns across diseases globally, impeding our understanding of putative mechanisms. Here, we review seasonal patterns across five enteric zoonotic diseases: campylobacteriosis, salmonellosis, vero-cytotoxigenic Escherichia coli (VTEC), cryptosporidiosis an...

We describe and analyze a new approach for feature ranking in the presence of categorical features with a large number of possible values. It is shown that popular ranking criteria, such as the Gini index and the misclassification error, can be interpreted as the training error of a predictor that is deduced from the training set. It is then argued that using the generalization error is a more ...

This paper investigates the potential causal relationship(s) between China's urbanization and income inequality since the start of the economic reform. Based on the economic theory of urbanization and income distribution, we analyze the annual time series of China's urbanization rate and Gini index from 1978 to 2014. The results show that urbanization has an immediate alleviating effect on inco...

Although concerns for social inequality are at the heart of the sociological tradition, few sociologists have taken a serious interest in the normative and methodological issues involved in the choice between different measures of inequality. In this paper I shall argue that the widely used but also widely criticized Gini index can be seen to incorporate a particularly sociological conception o...

The aim of this paper is to assess the evolution of multidimensional inequality in well-being using Lorenz curves. Closed expressions for the bivariate Lorenz curve defined by Arnold (1983) are given. We assume a relevant type of models based on the class of distributions with given marginals described by Sarmanov and Lee (Lee, 1996; Sarmanov, 1966). This specification of the bivariate Lorenz c...