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The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received…

最优化与控制 · 数学 2026-01-16 Yulin Feng , Hailang Jin , Steven X. Ding , Hao Ye , Chao Shang

Designing resilient control strategies for mitigating stealthy attacks is a crucial task in emerging cyber-physical systems. In the design of anomaly detectors, it is common to assume Gaussian noise models to maintain tractability; however,…

系统与控制 · 电气工程与系统科学 2019-09-30 Venkatraman Renganathan , Navid Hashemi , Justin Ruths , Tyler H. Summers

To manage renewable generation and load consumption uncertainty, chance-constrained optimal power flow (OPF) formulations and various solution methodologies have been proposed. However, conventional solution approaches often rely on…

最优化与控制 · 数学 2019-08-06 Bowen Li , Ruiwei Jiang , Johanna L. Mathieu

Domain generalization (DG) aims to learn predictive models that can generalize to unseen domains. Most existing DG approaches focus on learning domain-invariant representations under the assumption of conditional distribution shift (i.e.,…

机器学习 · 计算机科学 2026-02-03 Jewon Yeom , Kyubyung Chae , Hyunggyu Lim , Yoonna Oh , Dongyoon Yang , Taesup Kim

Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

最优化与控制 · 数学 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

This paper is devoted to reduce the conservatism of distributionally robust optimization with moments information. Since the optimal solution of distributionally robust optimization is required to be feasible for all uncertain distributions…

最优化与控制 · 数学 2020-08-20 Ke-wei Ding , Nan-jing Huang , Lei Wang

Deep neural networks (DNNs) deployed in real-world applications can encounter out-of-distribution (OOD) data and adversarial examples. These represent distinct forms of distributional shifts that can significantly impact DNNs' reliability…

机器学习 · 计算机科学 2024-04-09 Naveen Karunanayake , Ravin Gunawardena , Suranga Seneviratne , Sanjay Chawla

The non-convexity and intractability of distributionally robust chance constraints make them challenging to cope with. From a data-driven perspective, we propose formulating it as a robust optimization problem to ensure that the…

最优化与控制 · 数学 2023-06-23 Zhiping Chen , Wentao Ma , Bingbing Ji

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

Deep neural networks are known to be overconfident when applied to out-of-distribution (OOD) inputs which clearly do not belong to any class. This is a problem in safety-critical applications since a reliable assessment of the uncertainty…

机器学习 · 计算机科学 2021-03-11 Julian Bitterwolf , Alexander Meinke , Matthias Hein

Recent studies have addressed the concern of detecting and rejecting the out-of-distribution (OOD) samples as a major challenge in the safe deployment of deep learning (DL) models. It is desired that the DL model should only be confident…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Umar Khalid , Ashkan Esmaeili , Nazmul Karim , Nazanin Rahnavard

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

机器学习 · 计算机科学 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

Distributionally robust control is a well-studied framework for optimal decision making under uncertainty, with the objective of minimizing an expected cost function over control actions, assuming the most adverse probability distribution…

系统与控制 · 电气工程与系统科学 2025-08-12 Alexandros E. Tzikas , Lukas Fiechtner , Arec Jamgochian , Mykel J. Kochenderfer

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. It is assumed that the pre-change distribution is known (accurately estimated), while the only information about the…

统计理论 · 数学 2023-09-29 Liyan Xie , Yuchen Liang , Venugopal V. Veeravalli

Deep neural networks (DNNs) are often constructed under the closed-world assumption, which may fail to generalize to the out-of-distribution (OOD) data. This leads to DNNs producing overconfident wrong predictions and can result in…

机器学习 · 统计学 2024-12-31 Yang Chen , Chih-Li Sung , Arpan Kusari , Xiaoyang Song , Wenbo Sun

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

系统与控制 · 计算机科学 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

Data-driven models are subject to model errors due to limited and noisy training data. Key to the application of such models in safety-critical domains is the quantification of their model error. Gaussian processes provide such a measure…

机器学习 · 计算机科学 2024-09-23 Armin Lederer , Jonas Umlauft , Sandra Hirche

The application of machine learning in safety-critical systems requires a reliable assessment of uncertainty. However, deep neural networks are known to produce highly overconfident predictions on out-of-distribution (OOD) data. Even if…

机器学习 · 计算机科学 2022-10-19 Alexander Meinke , Julian Bitterwolf , Matthias Hein

This work is devoted to the development of a distributionally robust active fault diagnosis approach for a class of nonlinear systems, which takes into account any ambiguity in distribution information of the uncertain model parameters.…

最优化与控制 · 数学 2021-08-12 Ioannis Tzortzis , Marios M. Polycarpou

This paper introduces the $f$-sensitivity model, a new sensitivity model that characterizes the violation of unconfoundedness in causal inference. It assumes the selection bias due to unmeasured confounding is bounded "on average"; compared…

统计方法学 · 统计学 2022-09-07 Ying Jin , Zhimei Ren , Zhengyuan Zhou
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