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We develop Bayesian models for density regression with emphasis on discrete outcomes. The problem of density regression is approached by considering methods for multivariate density estimation of mixed scale variables, and obtaining…

Methodology · Statistics 2019-08-14 Georgios Papageorgiou

Model-based reinforcement learning (RL) algorithms can attain excellent sample efficiency, but often lag behind the best model-free algorithms in terms of asymptotic performance. This is especially true with high-capacity parametric…

Machine Learning · Computer Science 2018-11-05 Kurtland Chua , Roberto Calandra , Rowan McAllister , Sergey Levine

Multi-robot systems are essential for environmental monitoring, particularly for tracking spatial phenomena like pollution, soil minerals, and water salinity, and more. This study addresses the challenge of deploying a multi-robot team for…

Robotics · Computer Science 2025-02-12 Federico Pratissoli , Mattia Mantovani , Amanda Prorok , Lorenzo Sabattini

We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formalization of distributed controllers as (generally nonlinear)…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Max Emerick , Saroj Prasad Chhatoi , Bassam Bamieh

This paper presents an approach to externally influencing a team of robots by means of time-varying density functions. These density functions represent rough references for where the robots should be located. To this end, a continuous-time…

Optimization and Control · Mathematics 2014-04-02 Sung G. Lee , Magnus Egerstedt

Stochastic differential equations (SDEs) are established tools to model physical phenomena whose dynamics are affected by random noise. By estimating parameters of an SDE intrinsic randomness of a system around its drift can be identified…

Computation · Statistics 2012-05-03 Umberto Picchini , Susanne Ditlevsen

The density-distribution method has recently become a promising paradigm owing to its adaptability to variations in swarm size. However, existing studies face practical challenges in achieving complex shape representation and decentralized…

Robotics · Computer Science 2026-02-03 Yichen Cai , Yuan Gao , Pengpeng Li , Wei Wang , Guibin Sun , Jinhu Lü

State estimation is a fundamental requirement in robotics, where the accurate determination of a robot's state is essential for stable operation despite inherent process disturbances and sensor noise. Traditionally, this is achieved through…

Robotics · Computer Science 2026-04-21 Phunyapa Suksomboon , Paulo Garcia

This paper proposes a model-based framework to automatically and efficiently design understandable and verifiable behaviors for swarms of robots. The framework is based on the automatic extraction of two distinct models: 1) a neural network…

Robotics · Computer Science 2021-03-10 Mario Coppola , Jian Guo , Eberhard Gill , Guido C. H. E. de Croon

Efficiently tackling multiple tasks within complex environment, such as those found in robot manipulation, remains an ongoing challenge in robotics and an opportunity for data-driven solutions, such as reinforcement learning (RL).…

Robotics · Computer Science 2024-04-03 Carlos Plou , Ana C. Murillo , Ruben Martinez-Cantin

Designing controllers for robot swarms is challenging, because human developers have typically no good understanding of the link between the details of a controller that governs individual robots and the swarm behavior that is an indirect…

Swarms evolving from collective behaviors among multiple individuals are commonly seen in nature, which enables biological systems to exhibit more efficient and robust collaboration. Creating similar swarm intelligence in engineered robots…

Robotics · Computer Science 2025-11-10 Guibin Sun , Jinhu Lü , Kexin Liu , Zhenqian Wang , Guanrong Chen

Swarms of drones offer an increased sensing aperture, and having them mimic behaviors of natural swarms enhances sampling by adapting the aperture to local conditions. We demonstrate that such an approach makes detecting and tracking…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Rakesh John Amala Arokia Nathan , Sigrid Strand , Daniel Mehrwald , Dmitriy Shutin , Oliver Bimber

Bayesian optimization has attracted huge attention from diverse research areas in science and engineering, since it is capable of efficiently finding a global optimum of an expensive-to-evaluate black-box function. In general, a…

Machine Learning · Computer Science 2025-07-29 Jungtaek Kim

In the field of swarm robotics, the design and implementation of spatial density control laws has received much attention, with less emphasis being placed on performance evaluation. This work fills that gap by introducing an error metric…

Systems and Control · Computer Science 2019-05-21 Brendon G. Anderson , Eva Loeser , Marissa Gee , Fei Ren , Swagata Biswas , Olga Turanova , Matt Haberland , Andrea L. Bertozzi

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Alice Cicirello , Filippo Giunta

In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

Machine Learning · Computer Science 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Sensor-based degradation signals measure the accumulation of damage of an engineering system using sensor technology. Degradation signals can be used to estimate, for example, the distribution of the remaining life of partially degraded…

Applications · Statistics 2011-07-29 Rensheng R. Zhou , Nicoleta Serban , Nagi Gebraeel

We propose a PDE-based accelerated gradient algorithm for optimal feedback controls of McKean-Vlasov dynamics that involve mean-field interactions both in the state and action. The method exploits a forward-backward splitting approach and…

Optimization and Control · Mathematics 2024-05-03 Christoph Reisinger , Wolfgang Stockinger , Yufei Zhang

Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) methodology provides exact particle tracking data in parts of the…

Computational Physics · Physics 2012-06-27 Benjamin Franz , Mark B. Flegg , S. Jonathan Chapman , Radek Erban