Constraining the Parameters of High-Dimensional Models with Active Learning

Constraining the parameters of physical models with $>5-10$ parameters is a widespread problem in fields like particle physics and astronomy. In this paper we show that this problem can be alleviated by the use of active learning. We illustrate this with examples from high energy physics, a field where computationally expensive simulations and large parameter spaces are common. We show that the active learning techniques query-by-committee and query-by-dropout-committee allow for the identification of model points in interesting regions of high-dimensional parameter spaces (e.g. around decision boundaries). This makes it possible to constrain model parameters more efficiently than is currently done with the most common sampling algorithms. Code implementing active learning can be found on GitHub.