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This paper addresses the problem of learning linear dynamical systems from noisy observations. In this setting, existing algorithms either yield biased parameter estimates or have large sample complexities. We resolve these issues by…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Yuyang Zhang , Xinhe Zhang , Jia Liu , Na Li

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

Machine Learning · Computer Science 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

We develop a data-driven framework for assessing the resilience of linear time-invariant systems against malicious false-data-injection sensor attacks. Leveraging sparse observability, we propose data-driven resilience metrics and derive…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Takumi Shinohara , Karl Henrik Johansson , Henrik Sandberg

While many defences against adversarial examples have been proposed, finding robust machine learning models is still an open problem. The most compelling defence to date is adversarial training and consists of complementing the training…

Machine Learning · Computer Science 2021-05-27 Alex Serban , Erik Poll , Joost Visser

Deep Neural Networks (DNNs) have been widely applied in various recognition tasks. However, recently DNNs have been shown to be vulnerable against adversarial examples, which can mislead DNNs to make arbitrary incorrect predictions. While…

Cryptography and Security · Computer Science 2018-10-15 Chaowei Xiao , Ruizhi Deng , Bo Li , Fisher Yu , Mingyan Liu , Dawn Song

Deep neural networks (DNNs) are vulnerable to adversarial noise. Preprocessing based defenses could largely remove adversarial noise by processing inputs. However, they are typically affected by the error amplification effect, especially in…

Machine Learning · Computer Science 2021-04-20 Dawei Zhou , Nannan Wang , Chunlei Peng , Xinbo Gao , Xiaoyu Wang , Jun Yu , Tongliang Liu

Complex autonomous control systems are subjected to sensor failures, cyber-attacks, sensor noise, communication channel failures, etc. that introduce errors in the measurements. The corrupted information, if used for making decisions, can…

Machine Learning · Computer Science 2018-09-19 Abhishek Gupta , Zhaoyuan Yang

Forecasting irregular time series presents significant challenges due to two key issues: the vulnerability of models to mean regression, driven by the noisy and complex nature of the data, and the limitations of traditional error-based…

Machine Learning · Computer Science 2024-12-02 Heejeong Nam , Jihyun Kim , Jimin Yeom

With increased adoption of supervised deep learning methods for processing and analysis of cosmological survey data, the assessment of data perturbation effects (that can naturally occur in the data processing and analysis pipelines) and…

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on…

Systems and Control · Computer Science 2018-04-23 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

In this research, we introduce the concept of "computational entanglement," a phenomenon observed in overparameterized feedforward linear networks that enables the network to achieve zero loss by fitting random noise, even on previously…

Machine Learning · Computer Science 2024-10-01 YenLung Lai , Xingbo Dong , Zhe Jin

In applications of nonlinear and complex dynamical systems, a common situation is that the system can be measured but its structure and the detailed rules of dynamical evolution are unknown. The inverse problem is to determine the system…

Dynamical Systems · Mathematics 2021-09-15 Ying-Cheng Lai

We present a general system identification procedure capable of estimating of a broad spectrum of state-space dynamical models, including linear time-invariant (LTI), linear parameter-varying} (LPV), and nonlinear (NL) dynamics, along with…

Optimization and Control · Mathematics 2025-04-17 Alberto Bemporad , Roland Tóth

Robustness and security of machine learning (ML) systems are intertwined, wherein a non-robust ML system (classifiers, regressors, etc.) can be subject to attacks using a wide variety of exploits. With the advent of scalable deep learning…

Machine Learning · Computer Science 2017-11-09 Antonia Creswell , Anil A. Bharath , Biswa Sengupta

Adversarial attacks are valuable for providing insights into the blind-spots of deep learning models and help improve their robustness. Existing work on adversarial attacks have mainly focused on static scenes; however, it remains unclear…

Computer Vision and Pattern Recognition · Computer Science 2020-11-18 Aishan Liu , Tairan Huang , Xianglong Liu , Yitao Xu , Yuqing Ma , Xinyun Chen , Stephen J. Maybank , Dacheng Tao

This paper considers the problem of estimating linear dynamic system models when the observations are corrupted by random disturbances with nonstandard distributions. The paper is particularly motivated by applications where sensor…

Methodology · Statistics 2018-07-09 Johan Dahlin , Adrian Wills , Brett Ninness

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

Machine Learning · Computer Science 2024-12-05 Congxi Zhang , Yongchun Xie

Identifying a linear system model from data has wide applications in control theory. The existing work on finite sample analysis for linear system identification typically uses data from a single system trajectory under i.i.d random inputs,…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Lei Xin , George Chiu , Shreyas Sundaram

In this paper, we investigate discrete-time decision-making problems in uncertain systems with partially observed states. We consider a non-stochastic model, where uncontrolled disturbances acting on the system take values in bounded sets…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

We study the problem of \textit{safe control of linear dynamical systems corrupted with non-stochastic noise}, and provide an algorithm that guarantees (i) zero constraint violation of convex time-varying constraints, and (ii) bounded…

Systems and Control · Electrical Eng. & Systems 2023-08-25 Hongyu Zhou , Vasileios Tzoumas