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This paper proposes a new algorithm for linear system identification from noisy measurements. The proposed algorithm balances a data fidelity term with a norm induced by the set of single pole filters. We pose a convex optimization problem…

Optimization and Control · Mathematics 2012-04-04 Parikshit Shah , Badri Narayan Bhaskar , Gongguo Tang , Benjamin Recht

Machine-learning models can be fooled by adversarial examples, i.e., carefully-crafted input perturbations that force models to output wrong predictions. While uncertainty quantification has been recently proposed to detect adversarial…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Emanuele Ledda , Daniele Angioni , Giorgio Piras , Giorgio Fumera , Battista Biggio , Fabio Roli

Cyber-physical systems can be subject to sensor attacks, e.g., sensor spoofing, leading to unsafe behaviors. This paper addresses this problem in the context of linear systems when an omniscient attacker can spoof several system sensors at…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Xiao Tan , Pio Ong , Paulo Tabuada , Aaron D. Ames

We study reinforcement learning for partially observed Markov decision processes (POMDPs) with infinite observation and state spaces, which remains less investigated theoretically. To this end, we make the first attempt at bridging partial…

Machine Learning · Computer Science 2024-04-02 Qi Cai , Zhuoran Yang , Zhaoran Wang

This paper deals with control of partially observable discrete-time stochastic systems. It introduces and studies Markov Decision Processes with Incomplete Information and with semi-uniform Feller transition probabilities. The important…

Optimization and Control · Mathematics 2022-08-30 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

The modern open internet contains billions of public images of human faces across the web, especially on social media websites used by half the world's population. In this context, Face Recognition (FR) systems have the potential to match…

Computer Vision and Pattern Recognition · Computer Science 2021-07-21 Benjamin Spetter-Goldstein , Nataniel Ruiz , Sarah Adel Bargal

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

Systems and Control · Electrical Eng. & Systems 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

This paper presents a new framework of identifying a series of cyber data attacks on power system synchrophasor measurements. We focus on detecting "unobservable" cyber data attacks that cannot be detected by any existing method that purely…

Information Theory · Computer Science 2016-11-03 Pengzhi Gao , Meng Wang , Joe H. Chow , Scott G. Ghiocel , Bruce Fardanesh , George Stefopoulos , Michael P. Razanousky

We investigate conditions under which test statistics exist that can reliably detect examples, which have been adversarially manipulated in a white-box attack. These statistics can be easily computed and calibrated by randomly corrupting…

Machine Learning · Computer Science 2019-05-10 Kevin Roth , Yannic Kilcher , Thomas Hofmann

This paper discusses the problem of estimating a stochastic signal from nonlinear uncertain observations with time-correlated additive noise described by a first-order Markov process. Random deception attacks are assumed to be launched by…

Signal Processing · Electrical Eng. & Systems 2024-05-09 R. Caballero-Águila , J. Hu , J. Linares-Pérez

This paper is devoted to parameter estimation for partially observed polynomial state space models. This class includes discretely observed affine or more generally polynomial Markov processes. The polynomial structure allows for the…

Statistics Theory · Mathematics 2025-07-11 Jan Kallsen , Ivo Richert

In uncertainty quantification, a stochastic modelling is often applied, where parameters are substituted by random variables. We investigate linear dynamical systems of ordinary differential equations with a quantity of interest as output.…

Numerical Analysis · Mathematics 2019-09-23 Roland Pulch , Akil Narayan

We study the problem of detecting an attack on a stochastic cyber-physical system. We aim to treat the problem in its most general form. We start by introducing the notion of asymptotically detectable attacks, as those attacks introducing…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Damián Marelli , Tianju Sui , Minyue Fu , Renquan Lu

We address the problem of sequentially selecting and observing processes from a given set to find the anomalies among them. The decision-maker observes one process at a time and obtains a noisy binary indicator of whether or not the…

Machine Learning · Computer Science 2021-05-14 Geethu Joseph , M. Cenk Gursoy , Pramod K. Varshney

We propose a novel method to capture data points near decision boundary in neural network that are often referred to a specific type of uncertainty. In our approach, we sought to perform uncertainty estimation based on the idea of…

Machine Learning · Computer Science 2021-12-21 Ismail Alarab , Simant Prakoonwit

Object detection models are critical components of automated systems, such as autonomous vehicles and perception-based robots, but their sensitivity to adversarial attacks poses a serious security risk. Progress in defending these models…

Computer Vision and Pattern Recognition · Computer Science 2026-02-19 Alexis Winter , Jean-Vincent Martini , Romaric Audigier , Angelique Loesch , Bertrand Luvison

In this paper, we present an empirical balanced truncation method for nonlinear systems with linear time-invariant input vector field components. First, we define differential reachability and observability Gramians. They are matrix valued…

Systems and Control · Computer Science 2019-10-30 Yu Kawano , Jacquelien M. A. Scherpen

An algorithm for the estimation of multiple targets from partial and corrupted observations is introduced based on the concept of partially-distinguishable multi-target system. It combines the advantages of engineering solutions like MHT…

Probability · Mathematics 2017-12-05 J. Houssineau , D. E. Clark

This paper deals with the problem of robust fault estimation for the Lipschitz nonlinear systems under the influence of sensor faults and actuator faults. In the proposed methodology, a descriptor system is formulated by augmenting sensor…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Shivaraj Mohite , Adil Sheikh , S. R. Wagh

We have widely observed that neural networks are vulnerable to small additive perturbations to the input causing misclassification. In this paper, we focus on the $\ell_0$-bounded adversarial attacks, and aim to theoretically characterize…

Machine Learning · Computer Science 2024-02-07 Payam Delgosha , Hamed Hassani , Ramtin Pedarsani
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