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Related papers: Sensor Selection via Randomized Sampling

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Designing the sensing architecture for large-scale spatio-temporal systems is hard when accuracy requirements are specified but sensor models are uncertain or unavailable. Classical design treats sensor placement and estimation…

Information Theory · Computer Science 2026-05-13 Raktim Bhattacharya

In order to solve tasks like uncertainty quantification or hypothesis tests in Bayesian imaging inverse problems, we often have to draw samples from the arising posterior distribution. For the usually log-concave but high-dimensional…

Computation · Statistics 2025-01-23 Matthias J. Ehrhardt , Lorenz Kuger , Carola-Bibiane Schönlieb

In this paper we introduce and analyse Langevin samplers that consist of perturbations of the standard underdamped Langevin dynamics. The perturbed dynamics is such that its invariant measure is the same as that of the unperturbed dynamics.…

Probability · Mathematics 2017-12-06 A. B. Duncan , N. Nuesken , G. A. Pavliotis

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

Statistics Theory · Mathematics 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

Given an unknown dynamical system, what is the minimum number of samples needed for effective learning of its governing laws and accurate prediction of its future evolution behavior, and how to select these critical samples? In this work,…

Machine Learning · Computer Science 2024-01-15 Ce Zhang , Kailiang Wu , Zhihai He

Measurements and sensing implementations impose certain cost in sensor networks. The sensor selection cost optimization is the problem of minimizing the sensing cost of monitoring a physical (or cyber- physical) system. Consider a given set…

Systems and Control · Computer Science 2017-06-01 Mohammadreza Doostmohammadian , Houman Zarrabi , Hamid R. Rabiee

We consider the problem of sensor selection for designing observer and filter for continuous linear time invariant systems such that the sensor precisions are minimized, and the estimation errors are bounded by the prescribed…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Vedang M. Deshpande , Raktim Bhattacharya

This paper presents a detailed theoretical analysis of the three stochastic approximation proximal gradient algorithms proposed in our companion paper [49] to set regularization parameters by marginal maximum likelihood estimation. We prove…

Statistics Theory · Mathematics 2020-08-14 Valentin De Bortoli , Alain Durmus , Ana F. Vidal , Marcelo Pereyra

Accurate and efficient estimation of rare events probabilities is of significant importance, since often the occurrences of such events have widespread impacts. The focus in this work is on precisely quantifying these probabilities, often…

Computation · Statistics 2019-09-11 Hamed Nikbakht , Konstantinos G. Papakonstantinou

This work investigates the sequential hypothesis testing problem with online sensor selection and sensor usage constraints. That is, in a sensor network, the fusion center sequentially acquires samples by selecting one "most informative"…

Applications · Statistics 2016-01-26 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

While robust divergence such as density power divergence and $\gamma$-divergence is helpful for robust statistical inference in the presence of outliers, the tuning parameter that controls the degree of robustness is chosen in a…

Methodology · Statistics 2021-09-15 Shonosuke Sugasawa , Shouto Yonekura

In Bayesian inverse problems, the posterior distribution is used to quantify uncertainty about the reconstructed solution. In practice, Markov chain Monte Carlo algorithms often are used to draw samples from the posterior distribution.…

Numerical Analysis · Mathematics 2018-03-13 D. Andrew Brown , Arvind Saibaba , Sarah Vallélian

A parameter estimation problem is considered, in which dispersed sensors transmit to the statistician partial information regarding their observations. The sensors observe the paths of continuous semimartingales, whose drifts are linear…

Methodology · Statistics 2013-02-01 Georgios Fellouris

Effective resource allocation in sensor networks, IoT systems, and distributed computing is essential for applications such as environmental monitoring, surveillance, and smart infrastructure. Sensors or agents must optimize their resource…

Machine Learning · Computer Science 2024-09-26 Yu-Zhen Janice Chen , Daniel S. Menasché , Don Towsley

This article studies two problems related to observability and efficient constrained sensor placement in linear time-invariant discrete-time systems with partial state observations. (i) We impose the condition that both the set of outputs…

Optimization and Control · Mathematics 2021-05-21 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

Submodular function maximization finds application in a variety of real-world decision-making problems. However, most existing methods, based on greedy maximization, assume it is computationally feasible to evaluate F, the function being…

Artificial Intelligence · Computer Science 2020-08-11 Yash Satsangi , Shimon Whiteson , Frans A. Oliehoek

This work presents a novel general regularized distributed solution for the state estimation problem in networked systems. Resting on the graph-based representation of sensor networks and adopting a multivariate least-squares approach, the…

Systems and Control · Electrical Eng. & Systems 2021-11-17 Marco Fabris , Giulia Michieletto , Angelo Cenedese

A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise in measurement. The sensor selection is carried out by maximizing the determinant of the Fisher information matrix in a…

Optimization and Control · Mathematics 2021-04-28 Keigo Yamada , Yuji Saito , Koki Nankai , Taku Nonomura , Keisuke Asai , Daisuke Tsubakino

For many probability distributions of interest, it is quite difficult to obtain samples efficiently. Often, Markov chains are employed to obtain approximately random samples from these distributions. The primary drawback to traditional…

Probability · Mathematics 2007-05-23 James Allen Fill , Mark L. Huber

This paper studies the robustness of observability of a linear time-invariant system under sensor failures from a computational perspective. To be precise, the problem of determining the minimum number of sensors whose removal can destroy…

Optimization and Control · Mathematics 2023-07-18 Yuan Zhang , Yuanqing Xia , Kun Liu
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