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Local feature matching is a critical component of many computer vision pipelines, including among others Structure-from-Motion, SLAM, and Visual Localization. However, due to limitations in the descriptors, raw matches are often…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Luca Cavalli , Viktor Larsson , Martin Ralf Oswald , Torsten Sattler , Marc Pollefeys

Unsupervised learning methods are well established in the area of anomaly detection and achieve state of the art performances on outlier datasets. Outliers play a significant role, since they bear the potential to distort the predictions of…

Machine Learning · Computer Science 2024-07-02 Andreas Lohrer , Daniyal Kazempour , Maximilian Hünemörder , Peer Kröger

This paper proposes a method to detect bank frauds using a mixed approach combining a stochastic intensity model with the probability of fraud observed on transactions. It is a dynamic unsupervised approach which is able to predict…

Computational Engineering, Finance, and Science · Computer Science 2020-11-26 Régis Houssou , Stephan Robert-Nicoud

Particle Filter(PF) is used extensively for estimation of target Non-linear and Non-gaussian state. However, its performance suffers due to inherent problem of sample degeneracy and impoverishment. In order to address this, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Kapil Sharma , Gurjit Singh Walia , Ashish Kumar , Astitwa Saxena , Kuldeep Singh

This work proposes a resilient and adaptive state estimation framework for robots operating in perceptually-degraded environments. The approach, called Adaptive Maximum Correntropy Criterion Kalman Filtering (AMCCKF), is inherently robust…

We consider the problem of tracking the state of a process that evolves over time in a distributed setting, with multiple observers each observing parts of the state, which is a fundamental information processing problem with a wide range…

Information Theory · Computer Science 2019-09-04 Albin Severinson , Eirik Rosnes , Alexandre Graell i Amat

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu

We show that it is feasible to carry out exact Bayesian inference for non-Gaussian state space models using an adaptive Metropolis Hastings sampling scheme with the likelihood approximated by the particle filter. Furthermore, an adapyive…

Computation · Statistics 2009-11-03 Ralph Silva , Paolo Giordani , Robert Kohn , Mike Pitt

We introduce the inverse Kalman filter, which enables exact matrix-vector multiplication between a covariance matrix from a dynamic linear model and any real-valued vector with linear computational cost. We integrate the inverse Kalman…

Methodology · Statistics 2026-01-27 Xinyi Fang , Mengyang Gu

We present a novel algorithm based on the ensemble Kalman filter to solve inverse problems involving multiscale elliptic partial differential equations. Our method is based on numerical homogenization and finite element discretization and…

Numerical Analysis · Mathematics 2020-12-16 Assyr Abdulle , Giacomo Garegnani , Andrea Zanoni

By approximating posterior distributions with weighted samples, particle filters (PFs) provide an efficient mechanism for solving non-linear sequential state estimation problems. While the effectiveness of particle filters has been…

Machine Learning · Computer Science 2023-12-15 Xiongjie Chen , Yunpeng Li

Kalman filters constitute a scalable and robust methodology for approximate Bayesian inference, matching first and second order moments of the target posterior. To improve the accuracy in nonlinear and non-Gaussian settings, we extend this…

Statistics Theory · Mathematics 2024-09-04 L. Wang , N. Nüsken

In this work, we propose a robust optimization approach to mitigate the impact of uncertainties in particle precipitation. Our model incorporates partial differential equations, more particular nonlinear and nonlocal population balance…

Optimization and Control · Mathematics 2023-08-03 Martina Kuchlbauer , Jana Dienstbier , Adeel Muneer , Hanna Hedges , Michael Stingl , Frauke Liers , Lukas Pflug

Simultaneous state and parameter estimation arises from various applicational areas but presents a major computational challenge. Most available Markov chain or sequential Monte Carlo techniques are applicable to relatively low dimensional…

Numerical Analysis · Mathematics 2017-09-28 Angwenyi David , Jana de Wiljes , Sebastian Reich

This work addresses the critical lack of precision in state estimation in the Kalman filter for 3D multi-object tracking (MOT) and the ongoing challenge of selecting the appropriate motion model. Existing literature commonly relies on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mohamed Nagy , Naoufel Werghi , Bilal Hassan , Jorge Dias , Majid Khonji

Particle Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly. Our article develops an efficient PMMH method that scales up better to higher…

Computation · Statistics 2023-05-10 David Gunawan , Pratiti Chatterjee , Robert Kohn

System identification poses a significant bottleneck to characterizing and controlling complex systems. This challenge is greatest when both the system states and parameters are not directly accessible leading to a dual-estimation problem.…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Matthew F. Singh , Chong Wang , Michael W. Cole , ShiNung Ching

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

Nonlinear model predictive control has become a popular approach to deal with highly nonlinear and unsteady state systems, the performance of which can however deteriorate due to unaccounted uncertainties. Model predictive control is…

Optimization and Control · Mathematics 2021-03-02 Eric Bradford , Lars Imsland

This paper proposes a simple, accurate and computationally efficient method to apply the ordinary unscented Kalman filter developed in Euclidean space to systems whose dynamics evolve on manifolds.We use the mathematical theory called…

Robotics · Computer Science 2022-12-01 Jae-Hyeon Park , Dong Eui Chang