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Finite mixture such as the Gaussian mixture is a flexible and powerful probabilistic modeling tool for representing the multimodal distribution widely involved in many estimation and learning problems. The core of it is representing the…

Statistics Theory · Mathematics 2024-01-02 Tiancheng Li , Yan Song , Enbin Song , Hongqi Fan

The search for gravitational-wave signals in detector data is often hampered by the fact that many data analysis methods are based on the theory of stationary Gaussian noise, while actual measurement data frequently exhibit clear departures…

Data Analysis, Statistics and Probability · Physics 2011-12-30 Christian Röver

The aim of this article is to design a moment transformation for Student- t distributed random variables, which is able to account for the error in the numerically computed mean. We employ Student-t process quadrature, an instance of…

Methodology · Statistics 2017-03-17 Jakub Prüher , Filip Tronarp , Toni Karvonen , Simo Särkkä , Ondřej Straka

In multi-sensor data fusion (or sensor fusion), sensor biases (or offsets) often affect the accuracy of the correlation and integration results of the tracking targets. Therefore, to estimate and compensate the bias, several methods are…

Systems and Control · Computer Science 2017-08-01 Hidetoshi Furukawa

Motion estimation approaches typically employ sensor fusion techniques, such as the Kalman Filter, to handle individual sensor failures. More recently, deep learning-based fusion approaches have been proposed, increasing the performance and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Nimet Kaygusuz , Oscar Mendez , Richard Bowden

State estimation in heavy-tailed process and measurement noise is an important challenge that must be addressed in, e.g., tracking scenarios with agile targets and outlier-corrupted measurements. The performance of the Kalman filter (KF)…

Methodology · Statistics 2017-03-08 Michael Roth , Tohid Ardeshiri , Emre Özkan , Fredrik Gustafsson

This paper, the fourth part of a series of papers on the arithmetic average (AA) density fusion approach and its application for target tracking, addresses the intricate challenge of distributed heterogeneous multisensor multitarget…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Tiancheng Li , Haozhe Liang , Guchong Li , Jesús García Herrero , Quan Pan

Multimodal learning has been lacking principled ways of combining information from different modalities and learning a low-dimensional manifold of meaningful representations. We study multimodal learning and sensor fusion from a latent…

Machine Learning · Computer Science 2019-04-24 Lijiang Guo

Target tracking using observations from multiple sensors can achieve better estimation performance than a single sensor. The most famous estimation tool in target tracking is Kalman filter. There are several mathematical approaches to…

Systems and Control · Computer Science 2013-07-12 Sayed Amir Hoseini , Mohammad Reza Ashraf

Sensor fusion is a technique used to combine sensors with different noise characteristics into a super sensor that has superior noise performance. To achieve sensor fusion, complementary filters are used in current gravitational-wave…

Instrumentation and Detectors · Physics 2022-09-07 T. T. L. Tsang , T. G. F. Li , T. Dehaeze , C. Collette

This paper discusses an innovative adaptive heterogeneous fusion algorithm based on estimation of the mean square error of all variables used in real time processing. The algorithm is designed for a fusion between derivative and absolute…

Robotics · Computer Science 2017-01-27 Dusan Nemec , Ales Janota , Marian Hrubos , Vojtech Simak

In this paper, we propose fusion of dynamic TOA (time of arrival) from multiple non-coherent detectors like energy detectors operating at sub-Nyquist rate through Kalman filtering. We also show that by using multiple of these energy…

Information Theory · Computer Science 2025-09-30 Vijaya Yajnanarayana , Satyam Dwivedi , Peter Händel

In this paper, low-complexity distributed fusion filtering algorithm for mixed continuous-discrete multisensory dynamic systems is proposed. To implement the algorithm a new recursive equations for local cross-covariances are derived. To…

Other Computer Science · Computer Science 2010-02-26 Seokhyoung Lee , Vladimir Shin

In the classical Kalman filter(KF), the estimated state is a linear combination of the one-step predicted state and measurement state, their confidence level change when the prediction mean square error matrix and covariance matrix of…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Benyang Gong , Jiacheng He , Gang Wang , Bei Peng

An image fusion method based on salient features is proposed in this paper. In this work, we have concentrated on salient features of the image for fusion in order to preserve all relevant information contained in the input images and tried…

Computer Vision and Pattern Recognition · Computer Science 2013-12-06 Sourav Pramanik , Debotosh Bhattacharjee

As a fundamental information fusion approach, the arithmetic average (AA) fusion has recently been investigated for various random finite set (RFS) filter fusion in the context of multi-sensor multi-target tracking. It is not a…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Tiancheng Li

This paper proposes a heterogenous density fusion approach to scalable multisensor multitarget tracking where the inter-connected sensors run different types of random finite set (RFS) filters according to their respective capacity and…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Tiancheng Li , Ruibo Yan , Kai Da , Hongqi Fan

A Gaussian measurement error assumption, i.e., an assumption that the data are observed up to Gaussian noise, can bias any parameter estimation in the presence of outliers. A heavy tailed error assumption based on Student's t distribution…

Methodology · Statistics 2018-11-30 Hyungsuk Tak , Justin A. Ellis , Sujit K. Ghosh

Most Kalman filter extensions assume Gaussian noise and when the noise is non-Gaussian, usually other types of filters are used. These filters, such as particle filter variants, are computationally more demanding than Kalman type filters.…

Applications · Statistics 2021-05-19 Matti Raitoharju , Henri Nurminen , Demet Cilden-Guler , Simo Särkkä

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

Methodology · Statistics 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani
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