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Neural networks (NNs) are now routinely implemented on systems that must operate in uncertain environments, but the tools for formally analyzing how this uncertainty propagates to NN outputs are not yet commonplace. Computing tight bounds…

Machine Learning · Computer Science 2020-12-08 Michael Everett , Golnaz Habibi , Jonathan P. How

Deep Ensembles (DE) are a prominent approach for achieving excellent performance on key metrics such as accuracy, calibration, uncertainty estimation, and out-of-distribution detection. However, hardware limitations of real-world systems…

This letter proposes a data-driven sparse polynomial chaos expansion-based surrogate model for the stochastic economic dispatch problem considering uncertainty from wind power. The proposed method can provide accurate estimations for the…

Signal Processing · Electrical Eng. & Systems 2021-09-20 Xiaoting Wang , Rong-Peng Liu , Xiaozhe Wang , Yunhe Hou , François Bouffard

It is becoming increasingly apparent that probabilistic approaches can overcome conservatism and computational complexity of the classical worst-case deterministic framework and may lead to designs that are actually safer. In this paper we…

Applications · Statistics 2008-11-01 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems. One remarkable feature of these algorithms is their…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

This paper introduces a new modeling framework for optimization under uncertainty, called Probable Event Constrained Optimization (PECO). Unlike conventional chance-constrained formulations, which only limit the probability of constraint…

Optimization and Control · Mathematics 2026-04-22 Qifeng Li

To facilitate robust and trustworthy deployment of large language models (LLMs), it is essential to quantify the reliability of their generations through uncertainty estimation. While recent efforts have made significant advancements by…

Computation and Language · Computer Science 2025-07-22 Rui Li , Jing Long , Muge Qi , Heming Xia , Lei Sha , Peiyi Wang , Zhifang Sui

Software effort estimation accuracy is a key factor in effective planning, controlling and to deliver a successful software project within budget and schedule. The overestimation and underestimation both are the key challenges for future…

Software Engineering · Computer Science 2021-01-27 Yasir Mahmood , Nazri Kama , Azri Azmi , Ahmad Salman Khan , Mazlan Ali

Calibration of individual based models (IBMs), successful in modeling complex ecological dynamical systems, is often performed only ad-hoc. Bayesian inference can be used for both parameter estimation and uncertainty quantification, but its…

Computation · Statistics 2017-11-09 Jonas Šukys , Mira Kattwinkel

Due to significant manufacturing process variations, the performance of integrated circuits (ICs) has become increasingly uncertain. Such uncertainties must be carefully quantified with efficient stochastic circuit simulators. This paper…

Computational Engineering, Finance, and Science · Computer Science 2014-09-18 Zheng Zhang , Ibrahim , M. Elfadel , Luca Daniel

We present a sampling-free approach for computing the epistemic uncertainty of a neural network. Epistemic uncertainty is an important quantity for the deployment of deep neural networks in safety-critical applications, since it represents…

Machine Learning · Computer Science 2019-12-04 Janis Postels , Francesco Ferroni , Huseyin Coskun , Nassir Navab , Federico Tombari

An integrated optimization method based on the constrained multi-objective evolutionary algorithm (MOEA) and non-intrusive polynomial chaos expansion (PCE) is proposed, which solves robust multi-objective optimization problems under…

Neural and Evolutionary Computing · Computer Science 2022-09-29 Yuji Takubo , Masahiro Kanazaki

We investigate the Monte Carlo approach to propagation of experimental uncertainties within the context of the established "MSTW 2008" global analysis of parton distribution functions (PDFs) of the proton at next-to-leading order in the…

High Energy Physics - Phenomenology · Physics 2012-08-13 G. Watt , R. S. Thorne

Software development teams establish elaborate continuous integration pipelines containing automated test cases to accelerate the development process of software. Automated tests help to verify the correctness of code modifications…

Software Engineering · Computer Science 2023-12-05 Chidera Biringa , Gokhan Kul

Model predictive control is an advanced control approach for multivariable systems with constraints, which is reliant on an accurate dynamic model. Most real dynamic models are however affected by uncertainties, which can lead to…

Optimization and Control · Mathematics 2021-03-10 E. Bradford , L. Imsland

This paper addresses optimization problems constrained by partial differential equations with uncertain coefficients. In particular, the robust control problem and the average control problem are considered for a tracking type cost…

Optimization and Control · Mathematics 2017-11-08 Andreas Van Barel , Stefan Vandewalle

This study examines the role of uncertainty estimation (UE) methods in multilingual text classification under noisy and non-topical conditions. Using a complex-vs-simple sentence classification task across several languages, we evaluate a…

Computation and Language · Computer Science 2026-03-10 Nouran Khallaf , Serge Sharoff

Differential equations with random parameters have gained significant prominence in recent years due to their importance in mathematical modelling and data assimilation. In many cases, random ordinary differential equations (RODEs) are…

Dynamical Systems · Mathematics 2018-12-13 Maxime Breden , Christian Kuehn

The effective management of stochastic characteristics of renewable power generations is vital for ensuring the stable and secure operation of power systems. This paper addresses the task of optimizing the chance-constrained…

Systems and Control · Electrical Eng. & Systems 2024-01-05 Yuanxi Wu , Zhi Wu , Yijun Xu , Huan Long , Wei Gu , Shu Zheng , Jingtao Zhao

This paper studies the propagation of finite-sample uncertainty under nonlinear transformations commonly used in statistical decision systems. In particular, we consider process capability indices, which are widely used in manufacturing…

Applications · Statistics 2026-05-11 Fei Jiang , Lei Yang
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