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There is a growing interest in using Kalman-filter models for brain modelling. In turn, it is of considerable importance to represent Kalman-filter in connectionist forms with local Hebbian learning rules. To our best knowledge,…

人工智能 · 计算机科学 2007-05-23 Barnabas Poczos , Andras Lorincz

Optimal control theory and machine learning techniques are combined to formulate and solve in closed form an optimal control formulation of online learning from supervised examples with regularization of the updates. The connections with…

最优化与控制 · 数学 2016-12-15 Giorgio Gnecco , Alberto Bemporad , Marco Gori , Marcello Sanguineti

Inertial measurement units are widely used in different fields to estimate the attitude. Many algorithms have been proposed to improve estimation performance. However, most of them still suffer from 1) inaccurate initial estimation, 2)…

机器人学 · 计算机科学 2021-07-28 Yujie Tang , Liang Hu , Qingrui Zhang , Wei Pan

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

神经与进化计算 · 计算机科学 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

The optimal predictor for a linear dynamical system (with hidden state and Gaussian noise) takes the form of an autoregressive linear filter, namely the Kalman filter. However, a fundamental problem in reinforcement learning and control…

机器学习 · 计算机科学 2019-05-27 Holden Lee , Cyril Zhang

We consider the problem of online prediction for an unknown, non-explosive linear stochastic system. With a known system model, the optimal predictor is the celebrated Kalman filter. In the case of unknown systems, existing approaches based…

机器学习 · 计算机科学 2025-05-15 Jiachen Qian , Yang Zheng

We propose a simple yet effective alternative to reward normalization in policy gradient reinforcement learning by integrating a 1D Kalman filter for online reward estimation. Instead of relying on fixed heuristics, our method recursively…

机器学习 · 计算机科学 2026-04-28 Zixuan Xia , Quanxi Li

Measurement and estimation of parameters are essential for science and engineering, where one of the main quests is to find systematic schemes that can achieve high precision. While conventional schemes for quantum parameter estimation…

量子物理 · 物理学 2021-04-29 Han Xu , Junning Li , Liqiang Liu , Yu Wang , Haidong Yuan , Xin Wang

Optimal decision-making under partial observability requires reasoning about the uncertainty of the environment's hidden state. However, most reinforcement learning architectures handle partial observability with sequence models that have…

机器学习 · 计算机科学 2025-02-20 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

We devise a control-theoretic reinforcement learning approach to support direct learning of the optimal policy. We establish various theoretical properties of our approach, such as convergence and optimality of our analog of the Bellman…

机器学习 · 计算机科学 2026-04-01 Weiqin Chen , Mark S. Squillante , Chai Wah Wu , Santiago Paternain

This paper is concerned with optimal control problems for control systems in continuous time, and interacting particle system methods designed to construct approximate control solutions. Particular attention is given to the linear quadratic…

系统与控制 · 电气工程与系统科学 2022-07-11 Anant Joshi , Amirhossein Taghvaei , Prashant G. Mehta , Sean P. Meyn

This paper applies a reinforcement learning (RL) method to solve infinite horizon continuous-time stochastic linear quadratic problems, where drift and diffusion terms in the dynamics may depend on both the state and control. Based on…

最优化与控制 · 数学 2021-09-17 Na Li , Xun Li , Jing Peng , Zuo Quan Xu

The Kalman filter is an algorithm for the estimation of hidden variables in dynamical systems under linear Gauss-Markov assumptions with widespread applications across different fields. Recently, its Bayesian interpretation has received a…

神经元与认知 · 定量生物学 2021-11-23 Manuel Baltieri , Takuya Isomura

This paper develops an inverse reinforcement learning algorithm aimed at recovering a reward function from the observed actions of an agent. We introduce a strategy to flexibly handle different types of actions with two approximations of…

机器学习 · 计算机科学 2017-07-26 Kun Li , Yanan Sui , Joel W. Burdick

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

统计计算 · 统计学 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

We study the use of novel techniques arising in machine learning for inverse problems. Our approach replaces the complex forward model by a neural network, which is trained simultaneously in a one-shot sense when estimating the unknown…

数值分析 · 数学 2020-09-15 Philipp A. Guth , Claudia Schillings , Simon Weissmann

While reinforcement learning algorithms provide automated acquisition of optimal policies, practical application of such methods requires a number of design decisions, such as manually designing reward functions that not only define the…

机器学习 · 计算机科学 2022-12-29 Tim G. J. Rudner , Vitchyr H. Pong , Rowan McAllister , Yarin Gal , Sergey Levine

Kalman filtering is a classic state estimation technique used in application areas such as signal processing and autonomous control of vehicles. It is now being used to solve problems in computer systems such as controlling the voltage and…

系统与控制 · 电气工程与系统科学 2019-07-01 Yan Pei , Swarnendu Biswas , Donald S. Fussell , Keshav Pingali

The shortcomings of maximum likelihood estimation in the context of model-based reinforcement learning have been highlighted by an increasing number of papers. When the model class is misspecified or has a limited representational capacity,…

机器学习 · 计算机科学 2021-06-08 Evgenii Nikishin , Romina Abachi , Rishabh Agarwal , Pierre-Luc Bacon

Kalman filters provide a straightforward and interpretable means to estimate hidden or latent variables, and have found numerous applications in control, robotics, signal processing, and machine learning. One such application is neural…

机器学习 · 计算机科学 2024-01-29 Josue Casco-Rodriguez , Caleb Kemere , Richard G. Baraniuk
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