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Conventional jet algorithms are based on a deterministic view of the underlying hard scattering process. Each outgoing parton from the hard scattering is associated with a hard, well separated jet. This approach is very successful because it allows quantitative predictions using lowest order perturbation theory. However, beyond leading order in the coupling constant, when quantum fluctuations are included, deterministic jet algorithms will become problematic precisely because they attempt to describe an inherently stochastic quantum process using deterministic, classical language. This demands a shift in the way we view jet algorithms. We make a first attempt at constructing more probabilistic jet algorithms that reflect the properties of the underlying hard scattering and explore the basic properties and problems of such an approach.
We correct an important misprint in the journal version of our earlier work on New Jet Cluster Algorithms: Next-to-leading Order QCD..., published in Nucl. Phys. B 370 (1992) 310, which may have lead to an incorrect parametrisation of the leading ord
We determine the jet vertex for Mueller-Navelet jets and forward jets in the small-cone approximation for two particular choices of jet algoritms: the kt algorithm and the cone algorithm. These choices are motivated by the extensive use of such algor
This paper considers the problem of cardinality estimation in data stream applications. We present a statistical analysis of probabilistic counting algorithms, focusing on two techniques that use pseudo-random variates to form low-dimensional data sk
We connect the study of pseudodeterministic algorithms to two major open problems about the structural complexity of $mathsf{BPTIME}$: proving hierarchy theorems and showing the existence of complete problems. Our main contributions can be summarised
There has been a recent resurgence of interest in explainable artificial intelligence (XAI) that aims to reduce the opaqueness of AI-based decision-making systems, allowing humans to scrutinize and trust them. Prior work in this context has focused o