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Partial differential equations (PDEs) are fundamental for theoretically describing numerous physical processes that are based on some input fields in spatial configurations. Understanding the physical process, in general, requires…

Numerical Analysis · Mathematics 2020-10-16 Mahadevan Ganesh , Stuart C Hawkins , Alexandre Tartakovsky , Ramakrishna Tipireddy

Quality-Diversity (QD) algorithms have exhibited promising results across many domains and applications. However, uncertainty in fitness and behaviour estimations of solutions remains a major challenge when QD is used in complex real-world…

Neural and Evolutionary Computing · Computer Science 2025-03-04 Manon Flageat , Hannah Janmohamed , Bryan Lim , Antoine Cully

Assessing the quality of aleatoric uncertainty estimates from uncertainty quantification (UQ) deep learning methods is important in scientific contexts, where uncertainty is physically meaningful and important to characterize and interpret…

Machine Learning · Computer Science 2024-11-14 Rebecca Nevin , Aleksandra Ćiprijanović , Brian D. Nord

Reliable uncertainty quantification is critical in high-stakes applications, such as medical diagnosis, where confidently incorrect predictions can erode trust in automated decision-making systems. Traditional uncertainty quantification…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Hassan Gharoun , Mohammad Sadegh Khorshidi , Fang Chen , Amir H. Gandomi

Uncertainty quantification has been a core of the statistical machine learning, but its computational bottleneck has been a serious challenge for both Bayesians and frequentists. We propose a model-based framework in quantifying…

Machine Learning · Computer Science 2019-06-04 Minsuk Shin , Young Lee , Jun S. Liu

In recent years, large language models (LLMs) have become increasingly prevalent, offering remarkable text generation capabilities. However, a pressing challenge is their tendency to make confidently wrong predictions, highlighting the…

Computation and Language · Computer Science 2024-03-06 Xiang Gao , Jiaxin Zhang , Lalla Mouatadid , Kamalika Das

Bin packing is a classic optimization problem with a wide range of applications, from load balancing to supply chain management. In this work, we study the online variant of the problem, in which a sequence of items of various sizes must be…

Data Structures and Algorithms · Computer Science 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Sebastian Kersting , Michael Kohler

Model stealing aims at inferring a victim model's functionality at a fraction of the original training cost. While the goal is clear, in practice the model's architecture, weight dimension, and original training data can not be determined…

Machine Learning · Computer Science 2023-08-21 David Pape , Sina Däubener , Thorsten Eisenhofer , Antonio Emanuele Cinà , Lea Schönherr

It is critical that machine learning (ML) model predictions be trustworthy for high-throughput catalyst discovery approaches. Uncertainty quantification (UQ) methods allow estimation of the trustworthiness of an ML model, but these methods…

Machine Learning · Computer Science 2023-02-07 Cameron Gruich , Varun Madhavan , Yixin Wang , Bryan Goldsmith

There have been a flurry of recent proposals on learned benefit estimators for index tuning. Although these learned estimators show promising improvement over what-if query optimizer calls in terms of the accuracy of estimated index…

Databases · Computer Science 2026-01-28 Chenning Wu , Sifan Chen , Wentao Wu , Yinan Jing , Zhenying He , Kai Zhang , X. Sean Wang

We present a simple and effective approach for posterior uncertainty quantification in deep operator networks (DeepONets); an emerging paradigm for supervised learning in function spaces. We adopt a frequentist approach based on randomized…

Machine Learning · Computer Science 2022-08-17 Yibo Yang , Georgios Kissas , Paris Perdikaris

Quantifying uncertainty in a model's predictions is important as it enables the safety of an AI system to be increased by acting on the model's output in an informed manner. This is crucial for applications where the cost of an error is…

Computer Vision and Pattern Recognition · Computer Science 2021-05-31 Aria Khoshsirat

Deep learning models for semantic segmentation are prone to poor performance in real-world applications due to the highly challenging nature of the task. Model uncertainty quantification (UQ) is one way to address this issue of lack of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-04 Rishabh Singh , Jose C. Principe

Uncertainty Quantification (UQ) is a booming discipline for complex computational models based on the analysis of robustness, reliability and credibility. UQ analysis for nonlinear crash models with high dimensional outputs presents…

Computational Engineering, Finance, and Science · Computer Science 2021-03-31 Marc Rocas , Alberto García-González , Xabier Larrayoz , Pedro Díez

Quality-Diversity optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Manon Flageat , Antoine Cully

Offline reinforcement learning (offline RL), which aims to find an optimal policy from a previously collected static dataset, bears algorithmic difficulties due to function approximation errors from out-of-distribution (OOD) data points. To…

Machine Learning · Computer Science 2021-10-06 Gaon An , Seungyong Moon , Jang-Hyun Kim , Hyun Oh Song

We study the power of (competitive) algorithms with predictions in a multiagent setting. We introduce a two predictor framework, that assumes that agents use one predictor for their future (self) behavior, and one for the behavior of the…

Multiagent Systems · Computer Science 2025-07-18 Gabriel Istrate , Cosmin Bonchis , Victor Bogdan

Uncertainty quantification (UQ) techniques are frequently used to ascertain output variability in systems with parametric uncertainty. Traditional algorithms for UQ are either system-agnostic and slow (such as Monte Carlo) or fast with…

Computation · Statistics 2015-03-19 Tuhin Sahai , Jose Miguel Pasini

There are essentially three kinds of approaches to Uncertainty Quantification (UQ): (A) robust optimization, (B) Bayesian, (C) decision theory. Although (A) is robust, it is unfavorable with respect to accuracy and data assimilation. (B)…