Nested sampling (NS) computes parameter posterior distributions and makes Bayesian
model comparison computationally feasible. Its strengths are the unsupervised navigation of …

While autonomous vehicle (AV) technology has shown substantial progress, we still lack
tools for rigorous and scalable testing. Real-world testing, the $\textit {de-facto} $ evaluation …

We present a new approach to assessing the robustness of neural networks based on
estimating the proportion of inputs for which a property is violated. Specifically, we estimate …

Adaptive multilevel splitting (AMS) is a rare event sampling method that requires minimal
parameter tuning and allows unbiased sampling of transition pathways of a given rare event …

A few properties of minimax and maximin optimal designs in a compact subset of Rd are
presented, and connections with other space-filling constructions are indicated. Several …

This article first presents a short historical perpective of the importance splitting approach to
simulate and estimate rare events, with a detailed description of several variants. We then …

Evaluating the reliability of intelligent physical systems against rare safety-critical events
poses a huge testing burden for real-world applications. Simulation provides a useful …

Rare events play a crucial role in many physics, chemistry, and biology phenomena, when
they change the structure of the system, for instance in the case of multistability, or when …

A method to generate reactive trajectories, namely equilibrium trajectories leaving a
metastable state and ending in another one is proposed. The algorithm is based on …

The average time between two occurrences of the same event, referred to as its return time
(or return period), is a useful statistical concept for practical applications. For instance …