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We introduce a new framework for characterizing identified sets of structural and counterfactual parameters in econometric models. By reformulating the identification problem as a set membership question, we leverage the separating…

Econometrics · Economics 2024-12-31 Irene Botosaru , Isaac Loh , Chris Muris

In this article we investigate model order reduction of large-scale systems using time-limited balanced truncation, which restricts the well known balanced truncation framework to prescribed finite time intervals. The main emphasis is on…

Numerical Analysis · Mathematics 2018-01-08 Patrick Kürschner

In this paper, we present a theoretical analysis of the model reduction algorithm for linear switched systems. This algorithm is a reminiscence of the balanced truncation method for linear parameter varying systems. Specifically in this…

Optimization and Control · Mathematics 2013-03-19 Mihaly Petreczky , Rafael Wisniewski , John Leth

We consider the problem of estimating the state of a time-invariant linear Gaussian system in the presence of integrity attacks. The attacker can compromise $p$ out of $m$ sensors, the set of which is fixed over time and unknown to the…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Zishuo Li , Yilin Mo

This paper studies the problem of secure state estimation of a linear time-invariant (LTI) system with bounded noise in the presence of sparse attacks on an unknown, time-varying set of sensors. In other words, at each time, the attacker…

Systems and Control · Electrical Eng. & Systems 2023-07-24 Zishuo Li , Muhammad Umar B. Niazi , Changxin Liu , Yilin Mo , Karl H. Johansson

In multiple domains such as malware detection, automated driving systems, or fraud detection, classification algorithms are susceptible to being attacked by malicious agents willing to perturb the value of instance covariates to pursue…

Machine Learning · Statistics 2025-07-10 Victor Gallego , Roi Naveiro , Alberto Redondo , David Rios Insua , Fabrizio Ruggeri

The Hankel-norm approximation is a model reduction method which provides the best approximation in the Hankel semi-norm. In this paper the computation of the optimal Hankel-norm approximation is generalized to the case of linear…

Optimization and Control · Mathematics 2020-04-22 Peter Benner , Steffen W. R. Werner

This paper investigates the system identification problem for linear discrete-time systems under adversaries and analyzes two lasso-type estimators. We examine both asymptotic and non-asymptotic properties of these estimators in two…

Machine Learning · Computer Science 2024-04-26 Baturalp Yalcin , Haixiang Zhang , Javad Lavaei , Murat Arcak

Adversarial attacks are a potential threat to machine learning models by causing incorrect predictions through imperceptible perturbations to the input data. While these attacks have been extensively studied in unstructured data like…

Machine Learning · Computer Science 2024-12-13 Zhipeng He , Chun Ouyang , Laith Alzubaidi , Alistair Barros , Catarina Moreira

We consider the problem of estimating the state of a linear Gaussian system in the presence of integrity attacks. The attacker can compromise $p$ out of $m$ sensors, the set of which is fixed and unknown to the system operator, and…

Systems and Control · Electrical Eng. & Systems 2021-09-30 Zishuo Li , Yilin Mo

In this paper, we investigate data-driven attack detection and identification in a model-free setting. We consider a practically motivated scenario in which the available dataset may be compromised by malicious sensor attacks, but contains…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Takumi Shinohara , Karl H. Johansson , Henrik Sandberg

We consider the problem of learning a realization of a partially observed bilinear dynamical system (BLDS) from noisy input-output data. Given a single trajectory of input-output samples, we provide a finite time analysis for learning the…

Machine Learning · Computer Science 2025-10-23 Yahya Sattar , Yassir Jedra , Maryam Fazel , Sarah Dean

I study partial identification of distributional parameters in triangular systems. This model consists of a nonparametric outcome equation and a selection equation. This allows for general unobserved heterogeneity and selection on…

Methodology · Statistics 2014-11-11 Ju Hyun Kim

Balanced truncation and singular perturbation approximation for linear dynamical systems yield reduced-order models that satisfy a well-known error bound involving the Hankel singular values. We show that this bound holds with equality for…

Systems and Control · Electrical Eng. & Systems 2024-01-18 Sean Reiter , Tobias Damm , Mark Embree , Serkan Gugercin

Model order reduction algorithms for large-scale descriptor systems are proposed using balanced truncation, in which symmetry or block skew symmetry (reciprocity) and the positive realness of the original transfer matrix are preserved. Two…

Numerical Analysis · Computer Science 2018-11-13 Yuichi Tanji

Adversarial attacks pose a significant threat to machine learning models by inducing incorrect predictions through imperceptible perturbations to input data. While these attacks are well studied in unstructured domains such as images, their…

Machine Learning · Computer Science 2025-12-09 Zhipeng He , Chun Ouyang , Lijie Wen , Cong Liu , Catarina Moreira

The incremental diffusion of machine learning algorithms in supporting cybersecurity is creating novel defensive opportunities but also new types of risks. Multiple researches have shown that machine learning methods are vulnerable to…

Cryptography and Security · Computer Science 2021-06-18 Giovanni Apruzzese , Mauro Andreolini , Luca Ferretti , Mirco Marchetti , Michele Colajanni

The problem of state estimation in the setting of partially-observed discrete event systems subject to cyber attacks is considered. An operator observes a plant through a natural projection that hides the occurrence of certain events. The…

Cryptography and Security · Computer Science 2021-12-15 Qi Zhang , Carla Seatzu , Zhiwu Li , Alessandro Giua

This paper considers the problem of linear time-invariant (LTI) system identification using input/output data. Recent work has provided non-asymptotic results on partially observed LTI system identification using a single trajectory but is…

Optimization and Control · Mathematics 2021-11-23 Yang Zheng , Na Li

The paper addresses the problem of detecting attacks on distributed estimator networks that aim to intentionally bias process estimates produced by the network. It provides a sufficient condition, in terms of the feasibility of certain…

Systems and Control · Computer Science 2016-09-20 Mohammad Deghat , Valery Ugrinovskii , Iman Shames , Cedric Langbort