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Recent years have seen an increased interest in using mean-field density based modelling and control strategy for deploying robotic swarms. In this paper, we study how to dynamically deploy the robots subject to their physical constraints…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Tongjia Zheng , Hai Lin

Kernel density estimation (KDE) stands out as a challenging task in machine learning. The problem is defined in the following way: given a kernel function $f(x,y)$ and a set of points $\{x_1, x_2, \cdots, x_n \} \subset \mathbb{R}^d$, we…

Machine Learning · Computer Science 2024-02-15 Jiehao Liang , Zhao Song , Zhaozhuo Xu , Junze Yin , Danyang Zhuo

In this paper, we develop a kernel learning backward SDE filter method to estimate the state of a stochastic dynamical system based on its partial noisy observations. A system of forward backward stochastic differential equations is used to…

Numerical Analysis · Mathematics 2022-01-27 Richard Archibald , Feng Bao

Clustering has become an increasingly important task in analysing huge amounts of data. Traditional applications require that all data has to be located at the site where it is scrutinized. Nowadays, large amounts of heterogeneous, complex…

Databases · Computer Science 2014-09-24 Eshref Januzaj , Hans-Peter Kriegel , Martin Pfeifle

The problem of communicating sensor measurements over shared networks is prevalent in many modern large-scale distributed systems such as cyber-physical systems, wireless sensor networks, and the internet of things. Due to bandwidth…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Marcos M. Vasconcelos

Dense crowd counting aims to predict thousands of human instances from an image, by calculating integrals of a density map over image pixels. Existing approaches mainly suffer from the extreme density variances. Such density pattern shift…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Chenfeng Xu , Kai Qiu , Jianlong Fu , Song Bai , Yongchao Xu , Xiang Bai

Comparing differently sized data sets is one main task in model assessment and calibration. This is due to field data being generally sparse compared to simulated model results. We tackled this task by the application of a new…

Applications · Statistics 2023-08-30 Maria-Theresia Pelz , Christopher Somes

We show that the sensor self-localization problem can be cast as a static parameter estimation problem for Hidden Markov Models and we implement fully decentralized versions of the Recursive Maximum Likelihood and on-line…

Optimization and Control · Mathematics 2015-06-05 Nikolas Kantas , Sumeetpal S. Singh , Arnaud Doucet

The estimation of probability densities based on available data is a central task in many statistical applications. Especially in the case of large ensembles with many samples or high-dimensional sample spaces, computationally efficient…

Methodology · Statistics 2017-05-04 Daniel W. Meyer

Conditional density estimation (CDE) is the task of estimating the probability of an event conditioned on some inputs. A neural network (NN) can also be used to compute the output distribution for continuous-domain, which can be viewed as…

Machine Learning · Computer Science 2021-12-30 Bing Chen , Mazharul Islam , Jisuo Gao , Lin Wang

This work introduces a scalable filtering algorithm for multi-agent traffic estimation. Large-scale networks are spatially partitioned into overlapping road sections. The traffic dynamics of each section is given by the switching mode model…

Systems and Control · Computer Science 2017-01-20 Ye Sun , Daniel B. Work

In this paper we provide a fully distributed implementation of the k-means clustering algorithm, intended for wireless sensor networks where each agent is endowed with a possibly high-dimensional observation (e.g., position, humidity,…

Machine Learning · Computer Science 2014-11-11 Gabriele Oliva , Roberto Setola , Christoforos N. Hadjicostis

The reconstruction of smooth density fields from scattered data points is a procedure that has multiple applications in a variety of disciplines, including Lagrangian (particle-based) models of solute transport in fluids. In random walk…

Computational Physics · Physics 2019-09-04 Guillem Sole-Mari , Diogo Bolster , Daniel Fernàndez-Garcia , Xavier Sanchez-Vila

We consider the problem of distributed Kalman filtering for sensor networks in the case there are constraints in data transmission and there is model uncertainty. More precisely, we propose two distributed filtering strategies with…

Optimization and Control · Mathematics 2022-09-12 Davide Ghion , Mattia Zorzi

In this paper, a distributed Kalman filtering (DKF) algorithm is proposed based on a diffusion strategy, which is used to track an unknown signal process in sensor networks cooperatively. Unlike the centralized algorithms, no fusion center…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Siyu Xie , Die Gan , Zhixin Liu

This paper considers the filtering problem which consists in reconstructing the state of a dynamical system with partial observations coming from sensor measurements, and the knowledge that the dynamics are governed by a physical PDE model…

Numerical Analysis · Mathematics 2024-02-01 Joubine Aghili , Joy Zialesi Atokple , Marie Billaud-Friess , Guillaume Garnier , Olga Mula , Norbert Tognon

This paper addresses the problem of active information gathering for multi-robot systems. Specifically, we consider scenarios where robots are tasked with reducing uncertainty of dynamical hidden states evolving in complex environments. The…

Robotics · Computer Science 2021-07-26 Mariliza Tzes , Yiannis Kantaros , George J. Pappas

Distributed change-point detection has been a fundamental problem when performing real-time monitoring using sensor-networks. We propose a distributed detection algorithm, where each sensor only exchanges CUSUM statistic with their…

Signal Processing · Electrical Eng. & Systems 2019-01-09 Qinghua Liu , Rui Zhang , Yao Xie

We consider the problem of collaborative distributed estimation in a large scale sensor network with statistically dependent sensor observations. In collaborative setup, the aim is to maximize the overall estimation performance by modeling…

Signal Processing · Electrical Eng. & Systems 2022-03-21 Shan Zhang , Pranay Sharma , Baocheng Geng , Pramod K. Varshney

Large-scale distributed computing systems often contain thousands of distributed nodes (machines). Monitoring the conditions of these nodes is important for system management purposes, which, however, can be extremely resource demanding as…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-23 Tiffany Tuor , Shiqiang Wang , Kin K. Leung , Bong Jun Ko