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In this paper, we study the problem of estimating the state of a dynamic state-space system where the output is subject to quantization. We compare some classical approaches and a new development in the literature to obtain the filtering…

Systems and Control · Electrical Eng. & Systems 2021-12-16 Angel L. Cedeño , Ricardo Albornoz , Boris I. Godoy , Rodrigo Carvajal , Juan C. Agüero

This paper studies the distributed state estimation problem for a class of discrete time-varying systems over sensor networks. Firstly, it is shown that a networked Kalman filter with optimal gain parameter is actually a centralized filter,…

Systems and Control · Computer Science 2017-11-15 Xingkang He , Wenchao Xue , Haitao Fang

The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems. The…

Machine Learning · Computer Science 2011-02-01 Gilles Meyer , Silvere Bonnabel , Rodolphe Sepulchre

In standard treatments of stochastic filtering one first has to estimate the values of the parameters of the model. Simply running the filter without considering the reliability of this estimate does not take into account this additional…

Probability · Mathematics 2018-09-05 Andrew L. Allan , Samuel N. Cohen

A Kalman filter based sequential estimator is presented in the present work. The estimator is integrated in the structure of segregated solvers for the analysis of incompressible flows. This technique provides an augmented flow state…

Fluid Dynamics · Physics 2017-02-22 Marcello Meldi , Alexandre Poux

Data-driven neural Koopman operator theory has emerged as a powerful tool for linearizing and controlling nonlinear robotic systems. However, the performance of these data-driven models fundamentally depends on the trade-off between sample…

Robotics · Computer Science 2026-02-24 Abulikemu Abuduweili , Yuyang Pang , Feihan Li , Changliu Liu

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

Statistics Theory · Mathematics 2026-05-27 Hans Reimann , Sebastian Reich

The performance of ensemble-based data assimilation techniques that estimate the state of a dynamical system from partial observations depends crucially on the prescribed uncertainty of the model dynamics and of the observations. These are…

Computation · Statistics 2021-02-24 Tadeo Javier Cocucci , Manuel Pulido , Magdalena Lucini , Pierre Tandeo

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

Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We study this phenomenon through the noise-to-signal ratio (NSR) of a policy-gradient estimator,…

Optimization and Control · Mathematics 2026-02-10 Haoyu Han , Heng Yang

Understanding how systems built out of modular components can be jointly optimized is an important problem in biology, engineering, and machine learning. The backpropagation algorithm is one such solution and has been instrumental in the…

Machine Learning · Computer Science 2026-03-05 Christian Pehle , Jean-Jacques Slotine

This paper studies the continuous-time reinforcement learning for stochastic singular control with the application to an infinite-horizon irreversible reinsurance problems. The singular control is equivalently characterized as a pair of…

Optimization and Control · Mathematics 2025-12-03 Zongxia Liang , Xiaodong Luo , Xiang Yu

Ensemble Kalman inversion (EKI) is a derivative-free optimizer aimed at solving inverse problems, taking motivation from the celebrated ensemble Kalman filter. The purpose of this article is to consider the introduction of adaptive Tikhonov…

Numerical Analysis · Mathematics 2022-03-23 Simon Weissmann , Neil K. Chada , Claudia Schillings , Xin T. Tong

In Online Continual Learning (OCL) a learning system receives a stream of data and sequentially performs prediction and training steps. Important challenges in OCL are concerned with automatic adaptation to the particular non-stationary…

Machine Learning · Computer Science 2024-11-11 Michalis K. Titsias , Alexandre Galashov , Amal Rannen-Triki , Razvan Pascanu , Yee Whye Teh , Jorg Bornschein

We consider the problem of learning error covariance matrices for robotic state estimation. The convergence of a state estimator to the correct belief over the robot state is dependent on the proper tuning of noise models. During inference,…

Robotics · Computer Science 2023-09-19 Mohamad Qadri , Zachary Manchester , Michael Kaess

In this study, we develop a stochastic optimal control approach with reinforcement learning structure to learn the unknown parameters appeared in the drift and diffusion terms of the stochastic differential equation. By choosing an…

Optimization and Control · Mathematics 2023-08-22 Shuzhen Yang

We consider the problem of Reinforcement Learning for nonlinear stochastic dynamical systems. We show that in the RL setting, there is an inherent ``Curse of Variance" in addition to Bellman's infamous ``Curse of Dimensionality", in…

Machine Learning · Computer Science 2021-07-30 Raman Goyal , Suman Chakravorty , Ran Wang , Mohamed Naveed Gul Mohamed

This paper studies large-scale optimization problems on Riemannian manifolds whose objective function is a finite sum of negative log-probability losses. Such problems arise in various machine learning and signal processing applications. By…

Optimization and Control · Mathematics 2022-07-18 Jiang Hu , Ruicheng Ao , Anthony Man-Cho So , Minghan Yang , Zaiwen Wen

We introduce a novel nonlinear Kalman filter that utilizes reparametrization gradients. The widely used parametric approximation is based on a jointly Gaussian assumption of the state-space model, which is in turn equivalent to minimizing…

Machine Learning · Computer Science 2023-03-09 San Gultekin , Brendan Kitts , Aaron Flores , John Paisley

Reinforcement learning (RL) algorithms still suffer from high sample complexity despite outstanding recent successes. The need for intensive interactions with the environment is especially observed in many widely popular policy gradient…

Machine Learning · Computer Science 2020-08-04 Samuele Tosatto , Joao Carvalho , Hany Abdulsamad , Jan Peters
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