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Gaussian process regression uses data measured at sensor locations to reconstruct a spatially dependent function with quantified uncertainty. However, if only a limited number of sensors can be deployed, it is important to determine how to…

Numerical Analysis · Mathematics 2026-01-29 Jessie Chen , Hangjie Ji , Arvind K. Saibaba

The human brain copes with sensory uncertainty in accordance with Bayes' rule. However, it is unknown how the brain makes predictions in the presence of parameter uncertainty. Here, we tested whether and how humans take parameter…

Neurons and Cognition · Quantitative Biology 2020-07-01 Jannes Jegminat , Maya Jastrzebowska , Matt Pachai , Michael Herzog , Jean-Pascal Pfister

Complex computer codes are widely used in science to model physical systems. Sensitivity analysis aims to measure the contributions of the inputs on the code output variability. An efficient tool to perform such analysis are the…

Statistics Theory · Mathematics 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

Autonomous exploration is an application of growing importance in robotics. A promising strategy is ergodic trajectory planning, whereby an agent spends in each area a fraction of time which is proportional to its probability information…

Optimization and Control · Mathematics 2021-07-06 Dimitris Gkouletsos , Andrea Iannelli , Mathias Hudoba de Badyn , John Lygeros

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

Machine Learning · Statistics 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel

The conservation of hydrological resources involves continuously monitoring their contamination. A multi-agent system composed of autonomous surface vehicles is proposed in this paper to efficiently monitor the water quality. To achieve a…

Artificial Intelligence · Computer Science 2024-01-10 Samuel Yanes Luis , Dmitriy Shutin , Juan Marchal Gómez , Daniel Gutiérrez Reina , Sergio Toral Marín

Single-spin quantum sensors, for example based on nitrogen-vacancy centres in diamond, provide nanoscale mapping of magnetic fields. In applications where the magnetic field may be changing rapidly, total sensing time is crucial and must be…

Quantum Physics · Physics 2021-05-26 K. Craigie , E. M. Gauger , Y. Altmann , C. Bonato

In many real world problems, control decisions have to be made with limited information. The controller may have no a priori (or even posteriori) data on the nonlinear system, except from a limited number of points that are obtained over…

Optimization and Control · Mathematics 2011-05-12 Tansu Alpcan

It is not always clear how to adjust for control data in causal inference, balancing the goals of reducing bias and variance. We show how, in a setting with repeated experiments, Bayesian hierarchical modeling yields an adaptive procedure…

Methodology · Statistics 2025-01-23 Andrew Gelman , Matthijs Vákár

Aggregating signals from a collection of noisy sources is a fundamental problem in many domains including crowd-sourcing, multi-agent planning, sensor networks, signal processing, voting, ensemble learning, and federated learning. The core…

Machine Learning · Computer Science 2022-06-07 Ben Abramowitz , Nicholas Mattei

Multi-agent safe systems have become an increasingly important area of study as we can now easily have multiple AI-powered systems operating together. In such settings, we need to ensure the safety of not only each individual agent, but…

Artificial Intelligence · Computer Science 2021-03-08 Zheqing Zhu , Erdem Bıyık , Dorsa Sadigh

This paper proposes a distributed attack detection and mitigation technique based on distributed estimation over a multi-agent network, where the agents take partial system measurements susceptible to (possible) biasing attacks. In…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Mohammadreza Doostmohammadian , Houman Zarrabi , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambous

We discuss the problem of input design for uncertainty reduction in a parameter estimation procedure. Assuming a linear continuous-time control system with noisy measurements, we formulate an objective of variance reduction in a Bayesian…

Optimization and Control · Mathematics 2025-11-21 Ludovic Sacchelli , Alessandro Scagliotti

We develop a new efficient methodology for Bayesian global sensitivity analysis for large-scale multivariate data. The focus is on computationally demanding models with correlated variables. A multivariate Gaussian process is used as a…

Methodology · Statistics 2022-01-25 Oluwole Oyebamiji , Christopher Nemeth , Paula Harrison , Rob Dunford , George Cojocaru

Motion planning in environments with multiple agents is critical to many important autonomous applications such as autonomous vehicles and assistive robots. This paper considers the problem of motion planning, where the controlled agent…

Robotics · Computer Science 2020-11-30 Yuxiao Chen , Ugo Rosolia , Chuchu Fan , Aaron D. Ames , Richard Murray

By a "covering" we mean a Gaussian mixture model fit to observed data. Approximations of the Bayes factor can be availed of to judge model fit to the data within a given Gaussian mixture model. Between families of Gaussian mixture models,…

Computer Vision and Pattern Recognition · Computer Science 2011-01-11 Fionn Murtagh , Pedro Contreras , Jean-Luc Starck

Sensors in high-precision mechatronic systems require accurate calibration, which is achieved using test beds that, in turn, require even more accurate calibration. The aim of this paper is to develop a cascaded calibration method for…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Max van Meer , Emre Deniz , Gert Witvoet , Tom Oomen

Compared with voxel-based grid prediction, in the field of 3D semantic occupation prediction for autonomous driving, GaussianFormer proposed using 3D Gaussian to describe scenes with sparse 3D semantic Gaussian based on objects is another…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Ziyue Zhao , Qining Qi , Jianfa Ma

Multi-robot task allocation is a ubiquitous problem in robotics due to its applicability in a variety of scenarios. Adaptive task-allocation algorithms account for unknown disturbances and unpredicted phenomena in the environment where…

Robotics · Computer Science 2020-11-11 Yousef Emam , Gennaro Notomista , Paul Glotfelter , Magnus Egerstedt

We consider the problem of using multiple agents to harvest data from a collection of sensor nodes (targets) scattered across a two-dimensional environment. These targets transmit their data to the agents that move in the space above them,…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Shili Wu , Yancheng Zhu , Aniruddha Datta , Sean B. Andersson