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Neural network models have become the leading solution for a large variety of tasks, such as classification, language processing, protein folding, and others. However, their reliability is heavily plagued by adversarial inputs: small input…

机器学习 · 计算机科学 2022-10-04 Natan Levy , Guy Katz

This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation…

系统与控制 · 电气工程与系统科学 2025-07-17 Youssef Ait Si , Antoine Girard , Adnane Saoud

Resilience in optical networks has traditionally relied on redundancy and pre-planned recovery strategies, both of which assume a certain level of disaster predictability. However, recent environmental changes such as climate shifts, the…

This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$,…

最优化与控制 · 数学 2022-02-22 Maryam Kelkinnama , Majid Asadi

This work presents a novel ensemble of Bayesian Neural Networks (BNNs) for control of safety-critical systems. Decision making for safety-critical systems is challenging due to performance requirements with significant consequences in the…

机器人学 · 计算机科学 2020-01-10 Keuntaek Lee , Ziyi Wang , Bogdan I. Vlahov , Harleen K. Brar , Evangelos A. Theodorou

The effectiveness of supervised learning techniques has made them ubiquitous in research and practice. In high-dimensional settings, supervised learning commonly relies on dimensionality reduction to improve performance and identify the…

机器学习 · 计算机科学 2016-08-11 Chang Liu , Bo Li , Yevgeniy Vorobeychik , Alina Oprea

While $\mathcal{H}_\infty$ methods can introduce robustness against worst-case perturbations, their nominal performance under conventional stochastic disturbances is often drastically reduced. Though this fundamental tradeoff between…

系统与控制 · 电气工程与系统科学 2023-05-29 Bruce D. Lee , Thomas T. C. K. Zhang , Hamed Hassani , Nikolai Matni

Recent work has put forth the hypothesis that adversarial vulnerabilities in neural networks are due to them overusing "non-robust features" inherent in the training data. We show empirically that for PGD-attacks, there is a training stage…

计算机视觉与模式识别 · 计算机科学 2020-04-07 Zuowen Wang , Leo Horne

This paper describes a novel approach to planning which takes advantage of decision theory to greatly improve robustness in an uncertain environment. We present an algorithm which computes conditional plans of maximum expected utility. This…

人工智能 · 计算机科学 2013-02-28 Stephen G. Pimentel , Lawrence M. Brem

Missing data is pervasive in econometric applications, and rarely is it plausible that the data are missing (completely) at random. This paper proposes a methodology for studying the robustness of results drawn from incomplete datasets.…

计量经济学 · 经济学 2025-12-29 Daniel Ober-Reynolds

While significant progress has been made in designing algorithms that minimize regret in online decision-making, real-world scenarios often introduce additional complexities, perhaps the most challenging of which is missing outcomes.…

机器学习 · 统计学 2024-11-11 Ilia Mahrooghi , Mahshad Moradi , Sina Akbari , Negar Kiyavash

Tensor regression is an important tool for tensor data analysis, but existing works have not considered the impact of outliers, making them potentially sensitive to such data points. This paper proposes a low tubal rank robust regression…

统计方法学 · 统计学 2026-05-11 Zihao Song , Jicai Liu , Heng Lian , Weihua Zhao

We present a new, scalable alternative to the structured singular value, which we call $\nu$, provide a convex upper bound, study their properties and compare them to $\ell_1$ robust control. The analysis relies on a novel result on the…

最优化与控制 · 数学 2022-04-13 Olle Kjellqvist , John C. Doyle

This paper proposes a framework to design an event-triggered based robust control law for linear uncertain system. The robust control law is realized through both static and dynamic event-triggering approach to reduce the computation and…

最优化与控制 · 数学 2015-09-08 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

We address robustness issues of self-triggered sampling with respect to model uncertainties, and propose a robust self-triggered sampling method. The approach is compared with existing methods in terms of sampling conservativeness and…

最优化与控制 · 数学 2015-10-05 U. Tiberi , K. H. Johansson

This paper concerns the problem of learning control policies for an unknown linear dynamical system to minimize a quadratic cost function. We present a method, based on convex optimization, that accomplishes this task robustly: i.e., we…

最优化与控制 · 数学 2019-06-05 Jack Umenberger , Mina Ferizbegovic , Thomas B. Schön , Håkan Hjalmarsson

Safety is a primary concern when applying reinforcement learning to real-world control tasks, especially in the presence of external disturbances. However, existing safe reinforcement learning algorithms rarely account for external…

机器学习 · 计算机科学 2023-10-12 Zeyang Li , Chuxiong Hu , Shengbo Eben Li , Jia Cheng , Yunan Wang

The deployment of machine learning (ML)-based process monitoring systems has significantly advanced additive manufacturing (AM) by enabling real-time defect detection, quality assessment, and process optimization. However, redundancy is a…

计算工程、金融与科学 · 计算机科学 2025-05-01 Jiarui Xie , Yaoyao Fiona Zhao

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

最优化与控制 · 数学 2020-12-08 Andrey Tremba

This paper extends the concepts of Minimal Redundancy Condition (MRC) and robustness of erasures for infinite frames in Hilbert spaces. We begin by establishing a comprehensive framework for the MRC, emphasizing its importance in ensuring…

泛函分析 · 数学 2025-02-17 Shankhadeep Mondal , Geetika Verma , Ram Narayan Mohapatra