Upper and lower conditional probabilities assigned by Hausdorff outer and inner measures are given; they are natural extensions to the class of all subsets of Ω=[0,1] of finite...
Many machine learning algorithms can be formulated in the framework of statistical independence such as the Hilbert Schmidt Independence Criterion. In this paper, we extend this c...
Xinhua Zhang, Le Song, Arthur Gretton, Alex J. Smo...
An optimization problem is often represented with a set of variables, and the interaction between the variables is referred to as epistasis. In this paper, we propose two new measu...
We take another look at the general problem of selecting a preferred probability measure among those that comply with some given constraints. The dominant role that entropy maximi...
Independent component analysis (ICA) is a popular approach for blind source separation (BSS). In this study, we develop a new mutual information measure for BSS and unsupervised l...