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In this paper, we propose a suboptimal moving horizon estimator for a general class of nonlinear systems. For the stability analysis, we transfer the "feasibility-implies-stability/robustness" paradigm from model predictive control to the…

系统与控制 · 电气工程与系统科学 2022-07-18 Julian D. Schiller , Matthias A. Müller

Data-driven models, especially deep learning classifiers often demonstrate great success on clean datasets. Yet, they remain vulnerable to common data distortions such as adversarial and common corruption perturbations. These perturbations…

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is time-consistent. It is applied to study optimal learning when the choice between actions can…

经济学 · 定量金融 2019-03-06 Larry G. Epstein , Shaolin Ji

In statistical research there usually exists a choice between structurally simpler or more complex models. We argue that, even if a more complex, locally stationary time series model were true, then a simple, stationary time series model…

统计理论 · 数学 2019-08-16 Tobias Kley , Philip Preuß , Piotr Fryzlewicz

The existence of adversarial examples has led to considerable uncertainty regarding the trust one can justifiably put in predictions produced by automated systems. This uncertainty has, in turn, lead to considerable research effort in…

机器学习 · 计算机科学 2019-08-02 Christina Göpfert , Jan Philip Göpfert , Barbara Hammer

This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time…

最优化与控制 · 数学 2022-02-17 Yi Dong , Zhiyong Chen

Despite extraordinary progress, current machine learning systems have been shown to be brittle against adversarial examples: seemingly innocuous but carefully crafted perturbations of test examples that cause machine learning predictors to…

机器学习 · 计算机科学 2023-06-14 Omar Montasser

Focusing on the bipartite Stable Marriage problem, we investigate different robustness measures related to stable matchings. We analyze the computational complexity of computing them and analyze their behavior in extensive experiments on…

计算机科学与博弈论 · 计算机科学 2024-08-20 Kimon Boehmer , Niclas Boehmer

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

系统与控制 · 计算机科学 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

The problem of designing learners that provide guarantees that their predictions are provably correct is of increasing importance in machine learning. However, learning theoretic guarantees have only been considered in very specific…

机器学习 · 计算机科学 2023-10-31 Maria-Florina Balcan , Steve Hanneke , Rattana Pukdee , Dravyansh Sharma

In this paper, we study an optimal stopping problem in the presence of model uncertainty and regime switching. The max-min formulation for robust control and the dynamic programming approach are adopted to establish a general theoretical…

最优化与控制 · 数学 2025-09-04 Siyu Lv , Zhen Wu , Jie Xiong , Xin Zhang

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

最优化与控制 · 数学 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

This paper studies the design of mechanisms that are robust to misspecification. We introduce a novel notion of robustness that connects a variety of disparate approaches and study its implications in a wide class of mechanism design…

理论经济学 · 经济学 2021-08-31 Giuseppe Lopomo , Luca Rigotti , Chris Shannon

This work studies the threats of adversarial attack on multivariate probabilistic forecasting models and viable defense mechanisms. Our studies discover a new attack pattern that negatively impact the forecasting of a target time series via…

机器学习 · 计算机科学 2023-04-17 Linbo Liu , Youngsuk Park , Trong Nghia Hoang , Hilaf Hasson , Jun Huan

We present a nonlinear non-convex model predictive control approach to solving a real-world labyrinth game. We introduce adaptive nonlinear constraints, representing the non-convex obstacles within the labyrinth. Our method splits the…

机器人学 · 计算机科学 2025-02-11 Johannes Gaber , Thomas Bi , Raffaello D'Andrea

This paper investigates the robustness of the Lur'e problem under positivity constraints, drawing on results from the positive Aizerman conjecture and robustness properties of Metzler matrices. Specifically, we consider a control system of…

系统与控制 · 电气工程与系统科学 2025-10-07 Hamidreza Montazeri Hedesh , Moh. Kamalul Wafi , Bahram Shafai , Milad Siami

Algorithms are increasingly common components of high-impact decision-making, and a growing body of literature on adversarial examples in laboratory settings indicates that standard machine learning models are not robust. This suggests that…

机器学习 · 统计学 2018-11-28 Suproteem K. Sarkar , Kojin Oshiba , Daniel Giebisch , Yaron Singer

Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional…

混沌动力学 · 物理学 2009-11-10 Patrick E. McSharry , Leonard A. Smith

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system…

量子物理 · 物理学 2012-08-31 Ian R. Petersen , Valery Ugrinovskii , Matthew R. James

Video stabilization refers to the problem of transforming a shaky video into a visually pleasing one. The question of how to strike a good trade-off between visual quality and computational speed has remained one of the open challenges in…

计算机视觉与模式识别 · 计算机科学 2023-08-01 Weiyue Zhao , Xin Li , Zhan Peng , Xianrui Luo , Xinyi Ye , Hao Lu , Zhiguo Cao
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