I am a postdoctoral researcher with Bernhard Schölkopf. My research topics include kernel methods, nonparametric hypothesis testing, approximate Bayesian inference, and generative models. I am particularly interested in the problem of comparing two probability distributions on the basis of their samples (i.e., two-sample testing). A computationally efficient distance measure for two distributions has many practical applications beyond just comparing distributions. For instance, such a distance can be used to create a dependence measure between two random vectors. A dependence measure in turn enables development of algorithms for clustering, feature selection, and dimensionality reduction, to name a few. See Jitkrittum et al., 2016 (NIPS), Jitkrittum et al., 2017 (ICML), and Jitkrittum et al., 2017 (NIPS, best paper).
More recently, I have been working on a new method for comparing relative goodness of fit of two models. Given two models (two generative adversarial networks, for instance) and a reference sample, the goal is to determine which of the two models fits the sample better. This problem can be formulated as a statistical hypothesis test.
Our goal is to understand the principles of Perception, Action and Learning in autonomous systems that successfully interact with complex environments and to use this understanding to design future systems