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In this paper, we introduce a novel resource allocation approach for integrated sensing-communication (ISAC) using the Kullback-Leibler divergence (KLD) metric. Specifically, we consider a base-station with limited power and antenna…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Yousef Kloob , Mohammad Al-Jarrah , Emad Alsusa , Christos Masouros

We consider estimating the predictive density under Kullback-Leibler loss in an $\ell_0$ sparse Gaussian sequence model. Explicit expressions of the first order minimax risk along with its exact constant, asymptotically least favorable…

Statistics Theory · Mathematics 2015-06-04 Gourab Mukherjee , Iain M. Johnstone

In this paper, we propose a fault detection and isolation based attack-aware multi-sensor integration algorithm for the detection of cyberattacks in autonomous vehicle navigation systems. The proposed algorithm uses an extended Kalman…

Optimization and Control · Mathematics 2017-09-11 Sangjun Lee , Yongbum Cho , Byung-Cheol Min

Machine learning models have been shown to be vulnerable to membership inference attacks, i.e., inferring whether individuals' data have been used for training models. The lack of understanding about factors contributing success of these…

Machine Learning · Computer Science 2020-04-29 Farhad Farokhi , Mohamed Ali Kaafar

Here we revisit the classic problem of linear quadratic estimation, i.e. estimating the trajectory of a linear dynamical system from noisy measurements. The celebrated Kalman filter gives an optimal estimator when the measurement noise is…

Machine Learning · Statistics 2021-11-12 Sitan Chen , Frederic Koehler , Ankur Moitra , Morris Yau

This paper introduces a novel framework aimed at designing integrated waveforms for robust integrated sensing and communication (ISAC) systems. The system model consists of a multiple-input multiple-output (MIMO) base station that…

Signal Processing · Electrical Eng. & Systems 2025-10-16 Yousef Kloob , Mohammad Al-Jarrah , Emad Alsusa

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

Optimization and Control · Mathematics 2019-10-23 Taeyoung Lee

We propose a Kullback-Leibler Divergence (KLD) filter to extract anomalies within data series generated by a broad class of proximity sensors, along with the anomaly locations and their relative sizes. The technique applies to devices…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruikun Zhou , Wail Gueaieb , Davide Spinello

Attacks on Industrial Control Systems (ICS) can lead to significant physical damage. While offline safety and security assessments can provide insight into vulnerable system components, they may not account for stealthy attacks designed to…

Cryptography and Security · Computer Science 2021-06-07 Mazen Azzam , Liliana Pasquale , Gregory Provan , Bashar Nuseibeh

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

To achieve scalable and accurate inference for latent Gaussian processes, we propose a variational approximation based on a family of Gaussian distributions whose covariance matrices have sparse inverse Cholesky (SIC) factors. We combine…

Machine Learning · Statistics 2023-05-30 Jian Cao , Myeongjong Kang , Felix Jimenez , Huiyan Sang , Florian Schafer , Matthias Katzfuss

This paper studies the distributed state estimation in sensor network, where $m$ sensors are deployed to infer the $n$-dimensional state of a linear time-invariant (LTI) Gaussian system. By a lossless decomposition of optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Jiaqi Yan , Xu Yang , Yilin Mo , Keyou You

We consider estimating the predictive density under Kullback-Leibler loss in a high-dimensional Gaussian model. Decision theoretic properties of the within-family prediction error -- the minimal risk among estimates in the class…

Statistics Theory · Mathematics 2012-12-04 Gourab Mukherjee , Iain M. Johnstone

We investigate the joint actuator-sensor design problem for stochastic linear control systems. Specifically, we address the problem of identifying a pair of sensor and actuator which gives rise to the minimum expected value of a quadratic…

Systems and Control · Computer Science 2018-06-12 Xudong Chen

We address the problem of state estimation and attack isolation for general discrete-time nonlinear systems when sensors are corrupted by (potentially unbounded) attack signals. For a large class of nonlinear plants and observers, we…

Systems and Control · Computer Science 2019-04-10 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nesic

We present new methods for batch anomaly detection in multivariate time series. Our methods are based on maximizing the Kullback-Leibler divergence between the data distribution within and outside an interval of the time series. An…

State estimation is a fundamental problem in control and signal processing, for which the Kalman Filter provides an optimal solution under linear dynamics, Gaussian noise, and known noise covariances. However, these assumptions often fail…

Machine Learning · Computer Science 2026-05-27 Vasileios Saketos , Ming Xiao

The aim of this paper is to devise a strategy that is able to reduce communication bandwidth and, consequently, energy consumption in the context of distributed state estimation over a peer-to-peer sensor network. Specifically, a…

Systems and Control · Computer Science 2019-02-27 Giorgio Battistelli , Luigi Chisci , Lin Gao , Daniela Selvi

The problem of adaptive Kalman filtering for a discrete observable linear time-varying system with unknown noise covariance matrices is addressed in this paper. The measurement difference autocovariance method is used to formulate a linear…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Rahul Moghe , Maruthi R. Akella , Renato Zanetti

We present a convex optimization to reduce the impact of sensor falsification attacks in linear time invariant systems controlled by observer-based feedback. We accomplish this by finding optimal observer and controller gain matrices that…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Navid Hashemi , Justin Ruths
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