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Mutual information (MI) is a fundamental measure of statistical dependence between two variables, yet accurate estimation from finite data remains notoriously difficult. No estimator is universally reliable, and common approaches fail in…

Data Analysis, Statistics and Probability · Physics 2025-10-02 Eslam Abdelaleem , K. Michael Martini , Ilya Nemenman

This paper studies robust nonparametric regression, in which an adversarial attacker can modify the values of up to $q$ samples from a training dataset of size $N$. Our initial solution is an M-estimator based on Huber loss minimization.…

Statistics Theory · Mathematics 2023-12-12 Puning Zhao , Zhiguo Wan

We present a reliability measure for smart surveillance systems, taking into account the adversarial nature of intrusion. Our approach is based on percolation theory and is a generalisation of Hamedmoghadam et al.'s reliability measure.…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Anj Simmons

State estimation plays a key role in the transition from the passive to the active operation of distribution systems, as it allows to monitor these networks and, successively, to perform control actions. However, designing state estimators…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

The panel data regression models have gained increasing attention in different areas of research including but not limited to econometrics, environmental sciences, epidemiology, behavioral and social sciences. However, the presence of…

Methodology · Statistics 2020-11-24 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

State estimation allows to monitor power networks, exploiting field measurements to derive the most likely grid state. In the literature, measurement errors are usually assumed to follow zero-mean Gaussian distributions; however, it has…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

The vulnerability of cyber-physical systems to cyber attack is well known, and the requirement to build cyber resilience into these systems has been firmly established. The key challenge this paper addresses is that maturing this discipline…

Cryptography and Security · Computer Science 2023-02-17 Jason E. Ellis , Travis W. Parker , Joachim Vandekerckhove , Brian J. Murphy , Sidney Smith , Alexander Kott , Michael J. Weisman

This paper studies the optimal state estimation problem for interconnected systems. Each subsystem can obtain its own measurement in real time, while, the measurements transmitted between the subsystems suffer from random delay. The optimal…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Yan Wang , Junlin Xiong , Zaiyue Yang , Rong Su

Understanding smart grid cyber attacks is key for developing appropriate protection and recovery measures. Advanced attacks pursue maximized impact at minimized costs and detectability. This paper conducts risk analysis of combined data…

Cryptography and Security · Computer Science 2017-08-29 Kaikai Pan , André Teixeira , Milos Cvetkovic , Peter Palensky

The implementation of cyber-physical systems in real-world applications is challenged by safety requirements in the presence of sensor threats. Most cyber-physical systems, especially multi-sensor systems, struggle to detect sensor attacks…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Xingzhou Chen , Nachuan Yang , Peihu Duan , Shilei Li , Ling Shi

Machine learning models are vulnerable to simple model stealing attacks if the adversary can obtain output labels for chosen inputs. To protect against these attacks, it has been proposed to limit the information provided to the adversary…

Machine Learning · Computer Science 2018-12-14 Taesung Lee , Benjamin Edwards , Ian Molloy , Dong Su

We present a framework for bridging the gap between sensor attack detection and recovery in cyber-physical systems. The proposed framework models modern-day, complex perception pipelines as bipartite graphs, which combined with anomaly…

Machine Learning · Computer Science 2026-04-14 Axel Andersson , György Dán

This paper addresses problems on the robust structural design of complex networks. More precisely, we address the problem of deploying the minimum number of dedicated sensors, i.e., those measuring a single state variable, that ensure the…

Optimization and Control · Mathematics 2016-06-13 Xiaofei Liu , Sergio Pequito , Soummya Kar , Bruno Sinopoli , A. Pedro Aguiar

In this paper, we introduce a robust sensor design framework to provide "persuasion-based" defense in stochastic control systems against an unknown type attacker with a control objective exclusive to its type. For effective control, such an…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Muhammed O. Sayin , Tamer Basar

In this paper, we study the relationship between resilience and accuracy in the resilient distributed multi-dimensional consensus problem. We consider a network of agents, each of which has a state in $\mathbb{R}^d$. Some agents in the…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Waseem Abbas , Mudassir Shabbir , Jiani Li , Xenofon Koutsoukos

Estimating the fidelity with a target state is important in quantum information tasks. Many fidelity estimation techniques present a suitable measurement scheme to perform the estimation. In contrast, we present techniques that allow the…

Quantum Physics · Physics 2024-07-12 Akshay Seshadri , Martin Ringbauer , Jacob Spainhour , Thomas Monz , Stephen Becker

The `security index' of a discrete-time LTI system under sensor attacks is introduced as a quantitative measure on the security of an observable system. We derive ideas from error control coding theory to provide sufficient conditions for…

Systems and Control · Computer Science 2016-08-26 Michelle S. Chong , Margreta Kuijper

We consider the problem of estimating a random state vector when there is information about the maximum distances between its subvectors. The estimation problem is posed in a Bayesian framework in which the minimum mean square error (MMSE)…

Statistics Theory · Mathematics 2012-10-30 Dave Zachariah , Isaac Skog , Magnus Jansson , Peter Händel

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
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