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Chains of resonators in the form of spring-mass systems have long been known to exhibiting interesting properties such as band gaps. Such features can be leveraged to manipulate the propagation of waves such as the filtering of specific…

最优化与控制 · 数学 2022-01-14 Seyed Saeed Ahmadisoleymani , Samy Missoum

In this work we study preprocessing for tractable problems when part of the input is unknown or uncertain. This comes up naturally if, e.g., the load of some machines or the congestion of some roads is not known far enough in advance, or if…

数据结构与算法 · 计算机科学 2015-10-20 Stefan Fafianie , Stefan Kratsch , Voung Anh Quyen

The construction of efficient thermal engines operating at finite times constitutes a fundamental and timely topic in nonequilibrium thermodynamics. We introduce a strategy for optimizing the performance of Brownian engines, based on a…

Uncertainty estimation has been extensively studied in recent literature, which can usually be classified as aleatoric uncertainty and epistemic uncertainty. In current aleatoric uncertainty estimation frameworks, it is often neglected that…

计算机视觉与模式识别 · 计算机科学 2021-11-23 Jing Zhang , Yuchao Dai , Mehrtash Harandi , Yiran Zhong , Nick Barnes , Richard Hartley

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

最优化与控制 · 数学 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

Owing to their periodic and intricate configurations, metamaterials engineered for acoustic and elastic wave control inevitably suffer from manufacturing anomalies and deviate from theoretical dispersion predictions. This work exploits the…

应用物理 · 物理学 2020-08-12 H. Al Ba'ba'a , S. Nandi , T. Singh , M. Nouh

Motivated by the problem of computer-aided detection (CAD) of pulmonary nodules, we introduce methods to propagate and fuse uncertainty information in a multi-stage Bayesian convolutional neural network (CNN) architecture. The question we…

计算机视觉与模式识别 · 计算机科学 2018-02-15 Onur Ozdemir , Benjamin Woodward , Andrew A. Berlin

Hyperparameter tuning is a challenging problem especially when the system itself involves uncertainty. Due to noisy function evaluations, optimization under uncertainty can be computationally expensive. In this paper, we present a novel…

机器学习 · 计算机科学 2025-10-09 Akash Yadav , Ruda Zhang

Deterministic mathematical models, such as those specified via differential equations, are a powerful tool to communicate scientific insight. However, such models are necessarily simplified descriptions of the real world. Generalised…

统计方法学 · 统计学 2025-03-24 Zheyang Shen , Jeremias Knoblauch , Sam Power , Chris. J. Oates

Long-term reservoir management often uses bounds on the reservoir level, between which the operator can work. However, these bounds are not always kept up-to-date with the latest knowledge about the reservoir drainage area, and thus become…

最优化与控制 · 数学 2018-01-29 Thibaut Cuvelier , Pierre Archambeau , Benjamin Dewals , Quentin Louveaux

We propose a new \textit{quadratic programming-based} method of approximating a nonstandard density using a multivariate Gaussian density. Such nonstandard densities usually arise while developing posterior samplers for unobserved…

计量经济学 · 经济学 2023-02-14 Abhishek K. Umrawal , Joshua C. C. Chan

In this paper we address the problem of uncertainty management for robust design, and verification of large dynamic networks whose performance is affected by an equally large number of uncertain parameters. Many such networks (e.g. power,…

统计计算 · 统计学 2011-10-12 Amit Surana , Tuhin Sahai , Andrzej Banaszuk

We propose a new framework for imposing monotonicity constraints in a Bayesian nonparametric setting based on numerical solutions of stochastic differential equations. We derive a nonparametric model of monotonic functions that allows for…

机器学习 · 统计学 2020-02-26 Ivan Ustyuzhaninov , Ieva Kazlauskaite , Carl Henrik Ek , Neill D. F. Campbell

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

系统与控制 · 电气工程与系统科学 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

机器学习 · 计算机科学 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

This paper highlights a tension between semiparametric efficiency and bootstrap consistency in the context of a canonical semiparametric estimation problem, namely the problem of estimating the average density. It is shown that although…

计量经济学 · 经济学 2020-12-22 Matias D. Cattaneo , Michael Jansson

One way to incorporate systematic uncertainties into the calculation of confidence intervals is by integrating over probability density functions parametrizing the uncertainties. In this note we present a development of this method which…

高能物理 - 实验 · 物理学 2009-11-07 J. Conrad , O. Botner , A. Hallgren , Carlos P. de los Heros

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

计算机视觉与模式识别 · 计算机科学 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

Uncertainty plays a crucial role in the machine learning field. Both model trustworthiness and performance require the understanding of uncertainty, especially for models used in high-stake applications where errors can cause cataclysmic…

机器学习 · 计算机科学 2022-11-29 Shuo Chen

Capacity expansion models are frequently used to inform multi-billion dollar grid infrastructure decisions, a context in which there is significant uncertainty surrounding the future need for and performance of such infrastructure. However,…

系统与控制 · 电气工程与系统科学 2026-03-03 Gabriel Mantegna , Emil Dimanchev , Filippo Pecci , Neha Patankar , Jesse Jenkins