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To operate safely, an automated vehicle (AV) must anticipate how the environment around it will evolve. For that purpose, it is important to know which prediction models are most appropriate for every situation. Currently, assessment of…

Artificial Intelligence · Computer Science 2022-10-14 Manuel Muñoz Sánchez , Jos Elfring , Emilia Silvas , René van de Molengraft

Bayesian inference methods are applied within a Bayesian hierarchical modelling framework to the problems of joint state and parameter estimation, and of state forecasting. We explore and demonstrate the ideas in the context of a simple…

Applications · Statistics 2012-11-09 John Parslow , Noel Cressie , Edward P. Campbell , Emlyn Jones , Lawrence Murray

Gaussian processes (GPs) defined through intrinsic random fields provide a flexible framework for modeling spatial phenomena, and have been advocated in a variety of applications over the past several decades. Nevertheless, their adoption…

Numerical Analysis · Mathematics 2026-05-19 Christopher Beattie , David Higdon , Leanna House , Colby Stakun-Pickering , Jared Clark

We consider the use of Deep Learning methods for modeling complex phenomena like those occurring in natural physical processes. With the large amount of data gathered on these phenomena the data intensive paradigm could begin to challenge…

Artificial Intelligence · Computer Science 2018-01-10 Emmanuel de Bezenac , Arthur Pajot , Patrick Gallinari

Algorithmic recommendations and decisions have become ubiquitous in today's society. Many of these data-driven policies, especially in the realm of public policy, are based on known, deterministic rules to ensure their transparency and…

Machine Learning · Statistics 2025-04-02 Eli Ben-Michael , D. James Greiner , Kosuke Imai , Zhichao Jiang

As predictive models -- e.g., from machine learning -- give likely outcomes, they may be used to reason on the effect of an intervention, a causal-inference task. The increasing complexity of health data has opened the door to a plethora of…

Machine Learning · Statistics 2023-05-17 Matthieu Doutreligne , Gaël Varoquaux

Reasoning models have demonstrated remarkable capabilities in complex reasoning tasks. However, ensuring their safety against adversarial jailbreak prompts remains a critical challenge. Due to the covert and deceptive nature of such…

Computation and Language · Computer Science 2026-01-06 Yuhang Wang , Yanxu Zhu , Dongyuan Lu , Jitao Sang

Decision-making is a dynamic process requiring perception, memory, and reasoning to make choices and find optimal policies. Traditional approaches to decision-making suffer from sample efficiency and generalization, while large-scale…

Machine Learning · Computer Science 2024-01-08 Xiaoqian Liu , Jianbin Jiao , Junge Zhang

The a priori analysis (APA) is discussed as a tool to assess the reliability of grades in standard curricular courses. This unusual, but striking application is presented when teaching the section on data treatment of a Laboratory Course to…

Physics Education · Physics 2014-09-29 G. L. Lippi

Clinicians increasingly rely on prediction models to guide treatment choices. Most prediction models, however, are developed using observational data that include some patients who have already received the treatment the prediction model is…

Despite their growing popularity, data-driven models of real-world dynamical systems require lots of data. However, due to sensing limitations as well as privacy concerns, this data is not always available, especially in domains such as…

Machine Learning · Computer Science 2023-02-24 Hussain Kazmi , Pierre Pinson

Predictive maintenance is an effective tool for reducing maintenance costs. Its effectiveness relies heavily on the ability to predict the future state of health of the system, and for this survival models have shown to be very useful. Due…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Olov Holmer , Erik Frisk , Mattias Krysander

The optimal design of nanoparticle synthesis protocols is often achieved via one-at-a-time experimental designs. Aside from covering a limited space for the possible input conditions, these methods neglect possible interaction between…

Materials Science · Physics 2020-06-23 M. Reza. Andalibi , Paul Bowen , Agnese Carino , Andrea Testino

Early fault detection and fault prognosis are crucial to ensure efficient and safe operations of complex engineering systems such as the Spallation Neutron Source (SNS) and its power electronics (high voltage converter modulators).…

Accelerator Physics · Physics 2022-10-03 Majdi I. Radaideh , Chris Pappas , Mark Wezensky , Pradeep Ramuhalli , Sarah Cousineau

Security risk assessment is essential in establishing the trustworthiness and reliability of modern systems. While various security risk assessment approaches exist, prevalent applications are "pen and paper" implementations that -- even if…

Cryptography and Security · Computer Science 2025-09-23 Avi Shaked

Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual…

Statistical Mechanics · Physics 2025-10-15 Mauricio J. del Razo , Margarita Kostré

In the context of proxy modeling for process systems, traditional data-driven deep learning approaches frequently encounter significant challenges, such as substantial training costs induced by large amounts of data, and limited…

Machine Learning · Computer Science 2024-07-09 Pengwei Liu , Zhongkai Hao , Xingyu Ren , Hangjie Yuan , Jiayang Ren , Dong Ni

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

One of the key benefits of model predictive control is the capability of controlling a system proactively in the sense of taking the future system evolution into account. However, often external disturbances or references are not a priori…

Optimization and Control · Mathematics 2019-12-03 Janine Matschek , Tim Gonschorek , Magnus Hanses , Norbert Elkmann , Frank Ortmeier , Rolf Findeisen

The potential energy surface (PES) of molecules with respect to their nuclear positions is a primary tool in understanding chemical reactions from first principles. However, obtaining this information is complicated by the fact that…