Abstract: A function's excursion set is the sub-domain where its value exceeds some threshold. Some key examples illustrating the central role that excursion sets play in different application areas are as follows.

Abstract: We consider testing and learning problems on causal Bayesian networks as defined by Pearl.  Given a causal Bayesian network M on a graph with  n discrete variables and bounded in-degree and bounded ``confounded  components'', we show tha

Abstract: Assume that we have to move a load of coal from source pile A to destination pile B, both of whose shape we know, and whose capacities are identical.

Abstract: Suppose we are given a set of $k$ polynomials, $f_1, \ldots, f_k \in \mathbb{F}[x_1, \ldots, x_n]$.

Abstract : The stochastic multi-armed bandit model is a simple abstraction that has been proven useful in many different contexts in statistics and machine learning. The problem is studied in a number of settings.