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Learning Optimal Interventions
Assuming the underlying relationship remains invariant under intervention, we develop efficient algorithms to identify the optimal intervention policy from limited data and provide theoretical guarantees for our approach in a Gaussian Process setting.
Measuring dependence powerfully and equitably
A common strategy is to evaluate a measure of dependence on every variable pair and retain the highest-scoring pairs for follow-up.
An Empirical Study of Leading Measures of Dependence
In addition to equitability, measures of dependence can also be assessed by the power of their corresponding independence tests as well as their runtime.
Equitability, interval estimation, and statistical power
We define an equitable statistic as one with small interpretable intervals.
Theoretical Foundations of Equitability and the Maximal Information Coefficient
Introducing MIC_* also enables us to reason about the properties of MIC more abstractly: for instance, we show that MIC_* is continuous and that there is a sense in which it is a canonical "smoothing" of mutual information.
