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The purpose of this work is the design and analysis of a reliable and efficient a posteriori error estimator for the so-called pointwise tracking optimal control problem. This linear-quadratic optimal control problem entails the…

数值分析 · 数学 2016-08-30 Alejandro Allendes , Enrique Otarola , Richard Rankin , Abner J. Salgado

In non-life insurance, it is essential to understand the serial dynamics and dependence structure of the longitudinal insurance data before using them. Existing actuarial literature primarily focuses on modeling, which typically assumes a…

统计方法学 · 统计学 2023-05-02 Yinhuan Li , Tsz Chai Fung , Liang Peng , Linyi Qian

A new adaptive predictive controller for constrained linear systems is presented. The main feature of the proposed controller is the partition of the input in two components. The first part is used to persistently excite the system, in…

系统与控制 · 计算机科学 2018-04-23 Bernardo A. Hernandez , Paul A. Trodden

Immersion in a task is a prerequisite for creativity. However, excessive arousal in a single task has drawbacks, such as overlooking events outside of the task. To examine such a negative aspect, this study constructs a computational model…

人工智能 · 计算机科学 2024-12-17 Kazuma Nagashima , Jumpei Nishikawa , Junya Morita

High-dimensional changepoint inference that adapts to various change patterns has received much attention recently. We propose a simple, fast yet effective approach for adaptive changepoint testing. The key observation is that two…

统计方法学 · 统计学 2022-05-03 Guanghui Wang , Long Feng

We demonstrate a data-driven technique for adaptive control in dynamical systems that exploits the reservoir computing method. We show that a reservoir computer can be trained to predict a system parameter from the time series data.…

混沌动力学 · 物理学 2024-12-24 Swarnendu Mandal , Swati Chauhan , Umesh Kumar Verma , Manish Dev Shrimali , Kazuyuki Aihara

Statistical methods for causal inference with continuous treatments mainly focus on estimating the mean potential outcome function, commonly known as the dose-response curve. However, it is often not the dose-response curve but its…

统计方法学 · 统计学 2025-04-21 Yikun Zhang , Yen-Chi Chen

Automated animal behavior analysis relies on long-term, interpretable individual trajectories; however, multi-animal tracking in space science experimental videos remains highly challenging due to weak appearance cues, low-quality imaging,…

计算机视觉与模式识别 · 计算机科学 2026-04-30 Jianing You , Han Wang , Kang Liu , Jiale Ding , Fengjie Chu , Zihan Guo , Shengyang Li

We study the problem of robust time series analysis under the standard auto-regressive (AR) time series model in the presence of arbitrary outliers. We devise an efficient hard thresholding based algorithm which can obtain a consistent…

机器学习 · 计算机科学 2016-07-04 Kush Bhatia , Prateek Jain , Parameswaran Kamalaruban , Purushottam Kar

In this paper we propose a data-driven distributionally robust Model Predictive Control framework for constrained stochastic systems with unbounded additive disturbances. Recursive feasibility is ensured by optimizing over an linearly…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

Unmanned ground vehicles operating in complex environments must adaptively adjust to modeling uncertainties and external disturbances to perform tasks such as wall following and obstacle avoidance. This paper introduces an adaptive control…

系统与控制 · 电气工程与系统科学 2025-03-04 Hengye Yang , Yanxiao Chen , Zexuan Fan , Lin Shao , Tao Sun

Validation is a key challenge in the search for safe autonomy. Simulations are often either too simple to provide robust validation, or too complex to tractably compute. Therefore, approximate validation methods are needed to tractably find…

机器人学 · 计算机科学 2020-04-10 Mark Koren , Anthony Corso , Mykel J. Kochenderfer

Determining possible failure scenarios is a critical step in the evaluation of autonomous vehicle systems. Real-world vehicle testing is commonly employed for autonomous vehicle validation, but the costs and time requirements are high.…

机器人学 · 计算机科学 2019-08-08 Anthony Corso , Peter Du , Katherine Driggs-Campbell , Mykel J. Kochenderfer

Due to its state-of-the-art estimation performance complemented by rigorous and non-conservative uncertainty bounds, Gaussian process regression is a popular tool for enhancing dynamical system models and coping with their inaccuracies.…

系统与控制 · 电气工程与系统科学 2025-02-05 Anna Scampicchio , Elena Arcari , Amon Lahr , Melanie N. Zeilinger

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

系统与控制 · 电气工程与系统科学 2026-03-26 Gewei Zuo , Lijun Zhu

We develop a new efficient algorithm for the analysis of large-scale time series data. We firstly define rolling averages, derive their analytical properties, and establish their asymptotic distribution. These theoretical results are…

统计方法学 · 统计学 2022-12-26 Ali Eshragh , Glen Livingston , Thomas McCarthy McCann , Luke Yerbury

We derive Edgeworth expansions that describe corrections to the Gaussian limiting behaviour of slow-fast systems. The Edgeworth expansion is achieved using a semi-group formalism for the transfer operator, where a Duhamel-Dyson series is…

混沌动力学 · 物理学 2019-02-05 Jeroen Wouters , Georg A. Gottwald

Prediction sets provide a means of quantifying the uncertainty in predictive tasks. Using held out calibration data, conformal prediction and risk control can produce prediction sets that exhibit statistically valid error control in a…

机器学习 · 统计学 2026-02-05 Bror Hultberg , Dave Zachariah , Antônio H. Ribeiro

In this article, we propose a class of $L_q$-norm based U-statistics for a family of global testing problems related to high-dimensional data. This includes testing of mean vector and its spatial sign, simultaneous testing of linear model…

统计理论 · 数学 2023-03-16 Yangfan Zhang , Runmin Wang , Xiaofeng Shao

We propose a robust adaptive Model Predictive Control (MPC) strategy with online set-based estimation for constrained linear systems with unknown parameters and bounded disturbances. A sample-based test applied to predicted trajectories is…

最优化与控制 · 数学 2023-03-09 Xiaonan Lu , Mark Cannon