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Recent development of Deep Reinforcement Learning (DRL) has demonstrated superior performance of neural networks in solving challenging problems with large or even continuous state spaces. One specific approach is to deploy neural networks…

Machine Learning · Computer Science 2022-03-15 Martin Gottwald , Sven Gronauer , Hao Shen , Klaus Diepold

This study presents a novel state estimation approach integrating Deep Neural Networks (DNNs) into Moving Horizon Estimation (MHE). This is a shift from using traditional physics-based models within MHE towards data-driven techniques.…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Alexander Winkler , Pranav Shah , Katrin Baumgärtner , Vasu Sharma , David Gordon , Jakob Andert

A stochastic second-order trust region method is proposed, which can be viewed as a second-order extension of the trust-region-ish (TRish) algorithm proposed by Curtis et al. (INFORMS J. Optim. 1(3) 200-220, 2019). In each iteration, a…

Optimization and Control · Mathematics 2019-11-19 Frank E. Curtis , Rui Shi

In this paper, we introduce a Gaussian process based moving horizon estimation (MHE) framework. The scheme is based on offline collected data and offline hyperparameter optimization. In particular, compared to standard MHE schemes, we…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

Training convolutional neural networks (CNNs) on high-resolution images is often bottlenecked by the cost of evaluating gradients of the loss on the finest spatial mesh. To address this, we propose Multiscale Gradient Estimation (MGE), a…

Machine Learning · Computer Science 2026-03-03 Shadab Ahamed , Niloufar Zakariaei , Eldad Haber , Moshe Eliasof

In Moving Horizon Estimation (MHE) the computed estimate is found by solving a constrained finite-time optimal estimation problem in real-time at each sample in a receding horizon fashion. The constrained estimation problem can be solved…

Optimization and Control · Mathematics 2015-10-22 Isak Nielsen , Daniel Axehill

This paper presents a recursive solution to the receding or moving horizon estimation (MHE) problem for nonlinear time-variant systems. We provide the conditions under which the recursive MHE is equivalent to the extended Kalman filter…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Xu Weng , K. V. Ling , Ling Zhao

Trust region and cubic regularization methods have demonstrated good performance in small scale non-convex optimization, showing the ability to escape from saddle points. Each iteration of these methods involves computation of gradient,…

Optimization and Control · Mathematics 2018-09-27 Liu Liu , Xuanqing Liu , Cho-Jui Hsieh , Dacheng Tao

Moving Horizon Estimation~(MHE) is essentially an optimization-based approach designed to estimate the states of dynamic systems within a moving time horizon. Traditional MHE solutions become computationally prohibitive due to the…

Systems and Control · Electrical Eng. & Systems 2025-08-22 Shuting Wu , Yifei Wang , Jingzhe Wang , Apostolos I. Rikos , Xu Du

Moving horizon estimation (MHE) is a widely studied state estimation approach in several practical applications. In the MHE problem, the state estimates are obtained via the solution of an approximated nonlinear optimization problem.…

Optimization and Control · Mathematics 2023-06-26 Tianchen Liu , Kushal Chakrabarti , Nikhil Chopra

In this paper, a robust data-driven moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems is introduced. The scheme solely relies on offline collected data without employing any system identification step.…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

This paper introduces a data-based moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems. The scheme solely relies on collected data without employing any system identification step. Robust global…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

mmWave radars have recently gathered significant attention as a means to track human movement within indoor environments. Widely adopted Kalman filter tracking methods experience performance degradation when the underlying movement is…

Signal Processing · Electrical Eng. & Systems 2022-05-09 Jacopo Pegoraro , Michele Rossi

This paper introduces a novel proprioceptive state estimator for legged robots that combines model-based filters and deep neural networks. Recent studies have shown that neural networks such as multi-layer perceptron or recurrent neural…

Robotics · Computer Science 2024-10-28 Donghoon Youm , Hyunsik Oh , Suyoung Choi , Hyeongjun Kim , Jemin Hwangbo

Recovering a drone on a disturbed water surface remains a significant challenge in maritime robotics. In this paper, we propose a unified framework for robot-assisted drone recovery on a wavy surface that addresses two major tasks: Firstly,…

Robotics · Computer Science 2025-11-05 Yimou Wu , Mingyang Liang , Chongfeng Liu , Zhongzhong Cao , Huihuan Qian

In this work, we propose an event-triggered moving horizon estimation (ET-MHE) scheme for the remote state estimation of general nonlinear systems. In the presented method, whenever an event is triggered, a single measurement is transmitted…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

GNSS localization using everyday mobile devices is challenging in urban environments, as ranging errors caused by the complex propagation of satellite signals and low-quality onboard GNSS hardware are blamed for undermining positioning…

Machine Learning · Computer Science 2025-11-12 Xu Weng , K. V. Ling , Haochen Liu , Bingheng Wang , Kun Cao

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…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

Rotor-based hopping locomotion significantly improves efficiency and operation time as compared to purely flying systems; where most hopping robots use the liftoff states and an assumed ballistic trajectory to determine the hopping height.…

Robotics · Computer Science 2025-06-06 Samuel Burns , Matthew Woodward

The control of field robots in varying and uncertain terrain conditions presents a challenge for autonomous navigation. Online estimation of the wheel-terrain slip characteristics is essential for generating the accurate control predictions…

Robotics · Computer Science 2018-10-11 Nathan Wallace , He Kong , Andrew Hill , Salah Sukkarieh