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This paper is motivated by a computer experiment conducted for optimizing residual stresses in the machining of metals. Although kriging is widely used in the analysis of computer experiments, it cannot be easily applied to model the…

Methodology · Statistics 2012-11-08 Ying Hung , V. Roshan Joseph , Shreyes N. Melkote

Large reasoning models (LRMs) have achieved remarkable progress in complex problem-solving tasks. Despite this success, LRMs typically suffer from high computational costs during deployment, highlighting a need for efficient inference. A…

Artificial Intelligence · Computer Science 2026-02-02 Hao Zeng , Jianguo Huang , Bingyi Jing , Hongxin Wei , Bo An

We explore a method of statistical estimation called Maximum Entropy on the Mean (MEM) which is based on an information-driven criterion that quantifies the compliance of a given point with a reference prior probability measure. At the core…

Statistics Theory · Mathematics 2022-12-20 Yakov Vaisbourd , Rustum Choksi , Ariel Goodwin , Tim Hoheisel , Carola-Bibiane Schönlieb

Gradient-enhanced Kriging (GE-Kriging) is a well-established surrogate modelling technique for approximating expensive computational models. However, it tends to get impractical for high-dimensional problems due to the size of the inherent…

Machine Learning · Statistics 2024-01-05 Kai Cheng , Ralf Zimmermann

Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

Statistics Theory · Mathematics 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

As data shift or new data become available, updating clinical machine learning models may be necessary to maintain or improve performance over time. However, updating a model can introduce compatibility issues when the behavior of the…

Machine Learning · Statistics 2023-08-11 Erkin Ötleş , Brian T. Denton , Jenna Wiens

Resilience has emerged as a crucial concept for evaluating structural performance under disasters because of its ability to extend beyond traditional risk assessments, accounting for a system's ability to minimize disruptions and maintain…

Applications · Statistics 2024-04-23 Taeyong Kim , Sang-ri Yi

The increasing uncertainty in modern power systems, driven by the integration of intermittent energy sources and variable loads, underscores the need for probabilistic transient stability assessment. However, existing assessment methods…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Jingyu Liu , Xiaoting Wang , Xiaozhe Wang

This paper proposes a new method to provide the exponential convergence of both the parameter and tracking errors of the composite adaptive control system without the persistent excitation (PE) requirement. Instead, the derived composite…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

Risk reporting is essential for documenting AI models, yet only 14% of model cards mention risks, out of which 96% copying content from a small set of cards, leading to a lack of actionable insights. Existing proposals for improving model…

Software Engineering · Computer Science 2025-04-15 Pooja S. B. Rao , Sanja Šćepanović , Ke Zhou , Edyta Paulina Bogucka , Daniele Quercia

Surrogate modelling techniques have opened up new possibilities to overcome the limitations of computationally intensive numerical models in various areas of engineering and science. However, while fundamental in many engineering…

Numerical Analysis · Mathematics 2024-02-20 José Calos García-Marino , Carmen Calvo-Jurado , Enrique García-Macías

We are interested in bounding probabilities of rare events in the context of computer experiments. These rare events depend on the output of a physical model with random input variables. Since the model is only known through an expensive…

Computation · Statistics 2012-03-21 Yves Auffray , Pierre Barbillon , Jean-Michel Marin

We propose an extension of the concept of Expected Improvement criterion commonly used in Kriging based optimization. We extend it for more complex Kriging models, e.g. models using derivatives. The target field of application are CFD…

Machine Learning · Statistics 2009-08-25 Łukasz Łaniewski-Wołłk

The aim of the present paper is to develop a strategy for solving reliability-based design optimization (RBDO) problems that remains applicable when the performance models are expensive to evaluate. Starting with the premise that…

Methodology · Statistics 2011-04-20 V. Dubourg , B. Sudret , J. -M. Bourinet

Accurate intent classification is critical for efficient routing in customer service, ensuring customers are connected with the most suitable agents while reducing handling times and operational costs. However, as companies expand their…

Computation and Language · Computer Science 2025-11-18 Ziji Zhang , Michael Yang , Zhiyu Chen , Yingying Zhuang , Shu-Ting Pi , Qun Liu , Rajashekar Maragoud , Vy Nguyen , Anurag Beniwal

Evolving security vulnerabilities and shifting operational conditions require frequent updates to network security policies. These updates include adjustments to incident response procedures and modifications to access controls, among…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Kim Hammar , Yuchao Li , Tansu Alpcan , Emil C. Lupu , Dimitri Bertsekas

Adaptive Risk Control (ARC) is an online calibration strategy based on set prediction that offers worst-case deterministic long-term risk control, as well as statistical marginal coverage guarantees. ARC adjusts the size of the prediction…

Machine Learning · Statistics 2024-10-11 Matteo Zecchin , Osvaldo Simeone

Safety has been recognized as the central obstacle to preventing the use of reinforcement learning (RL) for real-world applications. Different methods have been developed to deal with safety concerns in RL. However, learning reliable…

Machine Learning · Computer Science 2023-02-08 Huiliang Zhang , Di Wu , Benoit Boulet

This work proposes a new adaptive-robust control (ARC) architecture for a class of uncertain Euler-Lagrange (EL) systems where the upper bound of the uncertainty satisfies linear in parameters (LIP) structure. Conventional ARC strategies…

Systems and Control · Computer Science 2018-05-10 Spandan Roy , Sayan Basu Roy , Indra Narayan Kar

Kernel ridge regression (KRR) is a widely used nonparametric method due to its strong theoretical guarantees and computational convenience. However, standard KRR does not distinguish between linear and nonlinear components in the signal,…

Statistics Theory · Mathematics 2026-05-13 Xin Bing , Chao Wang