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Rare events play a key role in many applications and numerous algorithms have been proposed for estimating the probability of a rare event. However, relatively little is known on how to quantify the sensitivity of the probability with…

Probability · Mathematics 2019-02-06 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Luc Rey-Bellet

We study stochastic programs where the decision-maker cannot observe the distribution of the exogenous uncertainties but has access to a finite set of independent samples from this distribution. In this setting, the goal is to find a…

Optimization and Control · Mathematics 2019-12-24 Bart P. G. Van Parys , Peyman Mohajerin Esfahani , Daniel Kuhn

Machine learning for the parameterization of subgrid-scale processes in climate models has been widely researched and adopted in a few models. A key challenge in developing data-driven parameterization schemes is how to properly represent…

Atmospheric and Oceanic Physics · Physics 2024-02-29 L. Minah Yang , Edwin P. Gerber

Gaussian process regression is a popular Bayesian framework for surrogate modeling of expensive data sources. As part of a broader effort in scientific machine learning, many recent works have incorporated physical constraints or other a…

Machine Learning · Computer Science 2021-01-07 Laura Swiler , Mamikon Gulian , Ari Frankel , Cosmin Safta , John Jakeman

Low-count time series describe sparse or intermittent events, which are prevalent in large-scale online platforms that capture and monitor diverse data types. Several distinct challenges surface when modelling low-count time series,…

Machine Learning · Computer Science 2023-11-21 Philipp Renz , Kurt Cutajar , Niall Twomey , Gavin K. C. Cheung , Hanting Xie

A probabilistic performance-oriented control design optimization approach is introduced for flight systems. Aiming at estimating rare-event probabilities accurately and efficiently, subset simulation is combined with surrogate modeling…

Systems and Control · Electrical Eng. & Systems 2021-04-20 Dalong Shi , Florian Holzapfel

Generating rare compositional concepts in text-to-image synthesis remains a challenge for diffusion models, particularly for attributes that are uncommon in the training data. While recent approaches, such as R2F, address this challenge by…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Kwanyoung Lee , Hyunwoo Oh , SeungJu Cha , Sungho Koh , Dong-Jin Kim

Data availability has dramatically increased in recent years, driving model-based control methods to exploit learning techniques for improving the system description, and thus control performance. Two key factors that hinder the practical…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Elena Arcari , Andrea Carron , Melanie N. Zeilinger

Negative binomial regression is essential for analyzing over-dispersed count data in in comparative studies, but parameter estimation becomes computationally challenging in large screens requiring millions of comparisons. We investigate…

Machine Learning · Statistics 2025-08-07 Valentine Svensson

Monitoring and analyzing process traces is a critical task for modern companies and organizations. In scenarios where there is a gap between trace events and reference business activities, this entails an interpretation problem, amounting…

Artificial Intelligence · Computer Science 2026-05-26 Bettina Fazzinga , Sergio Flesca , Filippo Furfaro , Luigi Pontieri , Francesco Scala

Process Outcome Prediction entails predicting a discrete property of an unfinished process instance from its partial trace. High-capacity outcome predictors discovered with ensemble and deep learning methods have been shown to achieve top…

Machine Learning · Computer Science 2024-07-19 Francesco Folino , Luigi Pontieri , Pietro Sabatino

Machine learning models can effectively forecast dynamical systems from time-series data, but they typically require large amounts of past data, making forecasting particularly challenging for systems with limited history. To overcome this,…

Machine Learning · Computer Science 2025-08-01 Declan A. Norton , Edward Ott , Andrew Pomerance , Brian Hunt , Michelle Girvan

The support recovery problem consists of determining a sparse subset of a set of variables that is relevant in generating a set of observations, and arises in a diverse range of settings such as compressive sensing, and subset selection in…

Information Theory · Computer Science 2016-08-31 Jonathan Scarlett , Volkan Cevher

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

Methodology · Statistics 2018-05-23 Colman Humphrey , Dan Swingley

We present the pyerrors python package for statistical error analysis of Monte Carlo data. Linear error propagation using automatic differentiation in an object oriented framework is combined with the $\Gamma$-method for a reliable…

High Energy Physics - Lattice · Physics 2023-05-03 Fabian Joswig , Simon Kuberski , Justus T. Kuhlmann , Jan Neuendorf

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

Automatic differentiation frameworks are optimized for exactly one thing: computing the average mini-batch gradient. Yet, other quantities such as the variance of the mini-batch gradients or many approximations to the Hessian can, in…

Machine Learning · Computer Science 2020-02-18 Felix Dangel , Frederik Kunstner , Philipp Hennig

In machine learning, the selection of a promising model from a potentially large number of competing models and the assessment of its generalization performance are critical tasks that need careful consideration. Typically, model selection…

Machine Learning · Statistics 2023-02-06 Pascal Rink , Werner Brannath

The direpack package aims to establish a set of modern statistical dimension reduction techniques into the Python universe as a single, consistent package. The dimension reduction methods included resort into three categories: projection…

Computation · Statistics 2020-06-03 Emmanuel Jordy Menvouta , Sven Serneels , Tim Verdonck

Background subtraction has been a driving engine for many computer vision and video analytics tasks. Although its many variants exist, they all share the underlying assumption that photometric scene properties are either static or exhibit…

Computer Vision and Pattern Recognition · Computer Science 2009-10-16 P. M. Jodoin , V. Saligrama , J. Konrad