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The Recursive KalmanNet, recently introduced by the authors, is a recurrent neural network guided by a Kalman filter, capable of estimating the state variables and error covariance of stochastic dynamic systems from noisy measurements,…

Signal Processing · Electrical Eng. & Systems 2025-08-26 Cyril Falcon , Hassan Mortada , Mathéo Clavaud , Jean-Philippe Michel

The Kalman filter (KF) and its variants are among the most celebrated algorithms in signal processing. These methods are used for state estimation of dynamic systems by relying on mathematical representations in the form of simple…

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

Numerical Analysis · Mathematics 2017-07-21 Lun Yang , Akil Narayan , Peng Wang

This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

Robotics · Computer Science 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

Sequential Bayesian filters in non-linear dynamic systems require the recursive estimation of the predictive and posterior distributions. This paper introduces a Bayesian filter called the adaptive kernel Kalman filter (AKKF). With this…

Signal Processing · Electrical Eng. & Systems 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

Continuous navigation in complex environments is critical for Unmanned Aerial Vehicle (UAV). However, the existing Vision-Language Navigation (VLN) models follow the dead-reckoning, which iteratively updates its position for the next…

Robotics · Computer Science 2026-05-08 Yin Tang , Jiawei Ma , Jinrui Zhang , Alex Jinpeng Wang , Deyu Zhang

Temporal camera relocalization estimates the pose with respect to each video frame in sequence, as opposed to one-shot relocalization which focuses on a still image. Even though the time dependency has been taken into account, current…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Lei Zhou , Zixin Luo , Tianwei Shen , Jiahui Zhang , Mingmin Zhen , Yao Yao , Tian Fang , Long Quan

In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous time state space model with discrete time observations by an algorithm that combines the Kalman filter and a particle…

Computation · Statistics 2019-05-22 Jian He , Asma Khedher , Peter Spreij

Many real-world applications require legged robots to be able to carry variable payloads. Model-based controllers such as model predictive control (MPC) have become the de facto standard in research for controlling these systems. However,…

Robotics · Computer Science 2025-06-17 Jonas Haack , Franek Stark , Shubham Vyas , Frank Kirchner , Shivesh Kumar

Submodular functions and variants, through their ability to characterize diversity and coverage, have emerged as a key tool for data selection and summarization. Many recent approaches to learn submodular functions suffer from limited…

Machine Learning · Computer Science 2022-10-21 Abir De , Soumen Chakrabarti

The future of inland navigation increasingly relies on autonomous systems and remote operations, emphasizing the need for accurate vessel trajectory prediction. This study addresses the challenges of video-based vessel tracking and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-02 Alexander Puzicha , Konstantin Wüstefeld , Kathrin Wilms , Frank Weichert

In the field of multi-object tracking (MOT), traditional methods often rely on the Kalman filter for motion prediction, leveraging its strengths in linear motion scenarios. However, the inherent limitations of these methods become evident…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Hsiang-Wei Huang , Cheng-Yen Yang , Wenhao Chai , Zhongyu Jiang , Jenq-Neng Hwang

Ensemble Kalman methods were initially developed to solve nonlinear data assimilation problems in oceanography, but are now popular in applications far beyond their original use cases. Of particular interest is climate model calibration. As…

Data Analysis, Statistics and Probability · Physics 2025-11-21 Rebecca Gjini , Matthias Morzfeld , Oliver R. A. Dunbar , Tapio Schneider

Filtering is concerned with online estimation of the state of a dynamical system from partial and noisy observations. In applications where the state of the system is high dimensional, ensemble Kalman filters are often the method of choice.…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Omar Al Ghattas , Jiajun Bao , Daniel Sanz-Alonso

Large-scale dynamic inverse problems are often ill-posed due to model complexity and the high dimensionality of the unknown parameters. Regularization is commonly employed to mitigate ill-posedness by incorporating prior information and…

Numerical Analysis · Mathematics 2026-01-21 Aryeh Keating , Mirjeta Pasha

The extraction of weak signals plays a crucial role in quantum precision measurement, where the estimation results are often limited by low signal-to-noise ratios. Here, we demonstrate a parameter-estimation framework based on the adaptive…

Quantum Physics · Physics 2026-05-19 Yihan Wang , Xiaofeng Jin , Yuchuan Ming , Jianxiang Miao , Xiao-Ming Lu , M. W. Mitchell , Jia Kong

We present a new calibration scheme based on a non-linear version of Kalman filter that aims at estimating the physical terms appearing in the Radio Interferometry Measurement Equation (RIME). We enrich the filter's structure with a tunable…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Cyril Tasse

This paper presents a new filter for state-space models based on Bellman's dynamic-programming principle, allowing for nonlinearity, non-Gaussianity and degeneracy in the observation and/or state-transition equations. The resulting Bellman…

Methodology · Statistics 2025-02-18 Rutger-Jan Lange

Multi-object tracking (MOT) is a crucial component of situational awareness in military defense applications. With the growing use of unmanned aerial systems (UASs), MOT methods for aerial surveillance is in high demand. Application of MOT…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Wanlin Xie , Jaime Ide , Daniel Izadi , Sean Banger , Thayne Walker , Ryan Ceresani , Dylan Spagnuolo , Christopher Guagliano , Henry Diaz , Jason Twedt

When robots are able to see and respond to their surroundings, a whole new world of possibilities opens up. To bring these possibilities to life, the robotics industry is increasingly adopting camera-based vision systems, especially when a…

Robotics · Computer Science 2023-11-10 Michele Ambrosino , Manar Mahmalji , Nicolás Bono Rosselló , Emanuele Garone