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The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

Optimization and Control · Mathematics 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

In this article, we study the parameter estimation of interacting particle systems subject to the Newtonian aggregation and Brownian diffusion. Specifically, we construct an estimator $\widehat{\nu}$ with partial observed data to…

Analysis of PDEs · Mathematics 2018-10-11 Hui Huang , Jian-Guo Liu , Jianfeng Lu

Online parameter identification is of importance, e.g., for model predictive control. Since the parameters have to be identified simultaneously to the process of the modeled system, dynamical update laws are used for state and parameter…

Numerical Analysis · Mathematics 2016-04-20 Romana Boiger , Barbara Kaltenbacher

Real world evolves in continuous time but computations are done from finite samples. Therefore, we study algorithms using finite observations in continuous-time linear dynamical systems. We first study the system identification problem, and…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Hongyi Zhou , Jingwei Li , Jingzhao Zhang

We develop a class of interacting particle systems for implementing a maximum marginal likelihood estimation (MMLE) procedure to estimate the parameters of a latent variable model. We achieve this by formulating a continuous-time…

We study the problem of parameter estimation for large exchangeable interacting particle systems when a sample of discrete observations from a single particle is known. We propose a novel method based on martingale estimating functions…

Numerical Analysis · Mathematics 2024-01-30 Grigorios A. Pavliotis , Andrea Zanoni

Social sampling is a novel randomized message passing protocol inspired by social communication for opinion formation in social networks. In a typical social sampling algorithm, each agent holds a sample from the empirical distribution of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Liu , Xingkang He , Haitao Fang

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

Machine Learning · Statistics 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

We consider the joint problem of online experiment design and parameter estimation for identifying nonlinear system models, while adhering to system constraints. We utilize a receding horizon approach and propose a new adaptive input design…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Jingwei Hu , Dave Zachariah , Torbjörn Wigren , Petre Stoica

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram

The Adaptive Multilevel Splitting algorithm is a very powerful and versatile iterative method to estimate the probability of rare events, based on an interacting particle systems. In an other article, in a so-called idealized setting, the…

Probability · Mathematics 2019-10-21 Charles-Edouard Bréhier , Ludovic Goudenège , Loic Tudela

For constrained linear systems with bounded disturbances and parametric uncertainty, we propose a robust adaptive model predictive control strategy with online parameter estimation. Constraints enforcing persistently exciting closed loop…

Optimization and Control · Mathematics 2023-03-08 Xiaonan Lu , Mark Cannon

This paper delves into a nonparametric estimation approach for the interaction function within diffusion-type particle system models. We introduce two estimation methods based upon an empirical risk minimization. Our study encompasses an…

Statistics Theory · Mathematics 2024-02-23 Denis Belomestny , Mark Podolskij , Shi-Yuan Zhou

Data in modern economic and financial applications often arrive as a stream, requiring models and inference to be updated in real time -- yet most semiparametric methods remain batch-based and computationally impractical in large-scale…

Econometrics · Economics 2026-03-10 Xiaohong Chen , Elie Tamer , Qingsong Yao

We consider chemical reaction networks modeled by a discrete state and continuous in time Markov process for the vector copy number of the species and provide a novel particle filter method for state and parameter estimation based on exact…

Molecular Networks · Quantitative Biology 2021-02-24 Muruhan Rathinam , Mingkai Yu

Fitting probabilistic models to data is often difficult, due to the general intractability of the partition function and its derivatives. Here we propose a new parameter estimation technique that does not require computing an intractable…

Machine Learning · Computer Science 2015-03-13 Jascha Sohl-Dickstein , Peter Battaglino , Michael R. DeWeese

Penalized estimation methods for diffusion processes and dependent data have recently gained significant attention due to their effectiveness in handling high-dimensional stochastic systems. In this work, we introduce an adaptive…

Statistics Theory · Mathematics 2024-12-24 Alessandro De Gregorio , Dario Frisardi , Francesco Iafrate , Stefano Iacus

This paper presents convergence analysis of a novel data-driven feedback control algorithm designed for generating online controls based on partial noisy observational data. The algorithm comprises a particle filter-enabled state estimation…

Optimization and Control · Mathematics 2024-05-31 Siming Liang , Hui Sun , Richard Archibald , Feng Bao

This paper is concerned with the design of algorithms based on systems of interacting particles to represent, approximate, and learn the optimal control law for reinforcement learning (RL). The primary contribution is that convergence rates…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Anant A Joshi , Heng-Sheng Chang , Amirhossein Taghvaei , Prashant G Mehta , Sean P. Meyn

We address the problem of estimating the drift parameter in a system of $N$ interacting particles driven by additive fractional Brownian motion of Hurst index \( H \geq 1/2 \). Considering continuous observation of the interacting particles…

Statistics Theory · Mathematics 2025-11-12 Chiara Amorino , Ivan Nourdin , Radomyra Shevchenko