Using the concept of non-degenerate Bell inequality, we show that quantum entanglement, critical resource for various information processing tasks, can be quantified any unknown state in a semi-device-independent manner, where quantification is based on experimentally obtained probability distributions and prior knowledge dimension only. Specifically, as an application our approach to multi-lev...

We propose a computationally efficient method to construct nonparametric, heteroskedastic prediction bands for uncertainty quantification, with or without any user-specified predictive model. The data-adaptive band is universally applicable minimal distributional assumptions, strong non-asymptotic coverage properties, and easy implement using standard convex programs. Our approach can be viewed ...