4 papers
The Physical Cutoff Does Not Restore Homogenization: Phase-Dependent Burning in the Strain G-Equation
Michele Caprio
We disprove the expectation stated by Xin, Yu, and Ronney that the physical positive part strain -equation should possess an effective burning velocity in cellular flows. For th…
Finite Admixture Models: a Bridge with Stochastic Geometry and Choquet Theory
Michele Caprio, Sayan Mukherjee
Given a finite admixture model whose components and weights are unknown, let the number of identifiable components be a function of the amount of data sampled from a known distribu…
Distributionally Robust Statistical Verification with Imprecise Neural Networks
Souradeep Dutta, Michele Caprio, Vivian Lin +5
A particularly challenging problem in AI safety is providing guarantees on the behavior of high-dimensional autonomous systems. Verification approaches centered around reachability…
Credal Bayesian Deep Learning
Michele Caprio, Souradeep Dutta, Kuk Jin Jang +4
Uncertainty quantification and robustness to distribution shifts are important goals in machine learning and artificial intelligence. Although Bayesian Neural Networks (BNNs) allow…