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Datasets may contain observations with multiple labels. If the labels are not mutually exclusive, and if the labels vary greatly in frequency, obtaining a sample that includes sufficient observations with scarcer labels to make inferences…

Machine Learning · Computer Science 2026-05-27 Simon Chung , Colby J. Vorland , Donna L. Maney , Andrew W. Brown

Bayesian inference is useful to obtain a predictive distribution with a small generalization error. However, since posterior distributions are rarely evaluated analytically, we employ the variational Bayesian inference or sampling method to…

Machine Learning · Computer Science 2025-09-03 Yohei Saito , Shun Kimura , Koujin Takeda

In remote sensing, each sensor can provide complementary or reinforcing information. It is valuable to fuse outputs from multiple sensors to boost overall performance. Previous supervised fusion methods often require accurate labels for…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Xiaoxiao Du , Alina Zare

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

The paper addresses the problem of multi-sensor control for multi-target tracking via labelled random finite sets (RFS) in the sensor network systems. Based on an information theoretic divergence measure, namely Cauchy-Schwarz (CS)…

Systems and Control · Computer Science 2016-03-29 Meng Jiang , Wei Yi , Lingjiang Kong

This paper considers the problem of detecting and tracking multiple maneuvering targets, which suffers from the intractable inference of high-dimensional latent variables that include target kinematic state, target visibility state, motion…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Hua Lan , Jirong Ma , Zengfu Wang , Quan Pan , Xiong Xu

The probability hypothesis density (PHD) and Poisson multi-Bernoulli (PMB) filters are two popular set-type multi-object filters. Motivated by the fact that the multi-object filtering density after each update step in the PHD filter is a…

Signal Processing · Electrical Eng. & Systems 2024-07-23 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

In the following article we consider the numerical approximation of the non-linear filter in continuous-time, where the observations and signal follow diffusion processes. Given access to high-frequency, but discrete-time observations, we…

Numerical Analysis · Mathematics 2020-06-11 Ajay Jasra , Fangyuan Yu , Jeremy Heng

We present a novel method called Kernel-SME filter for tracking multiple targets when the association of the measurements to the targets is unknown. The method is a further development of the Symmetric Measurement Equation (SME) filter,…

Systems and Control · Computer Science 2012-12-27 Marcus Baum , Uwe D. Hanebeck

In this paper, a Bayesian fusion technique for remotely sensed multi-band images is presented. The observed images are related to the high spectral and high spatial resolution image to be recovered through physical degradations, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2014-08-27 Qi Wei , Nicolas Dobigeon , Jean-Yves Tourneret

Kalman filtering is a widely used framework for Bayesian estimation. The partitioned update Kalman filter applies a Kalman filter update in parts so that the most linear parts of measurements are applied first. In this paper, we generalize…

Optimization and Control · Mathematics 2016-03-16 Matti Raitoharju , Ángel F. García-Fernández , Robert Piché

Multi-modal sensor data fusion takes advantage of complementary or reinforcing information from each sensor and can boost overall performance in applications such as scene classification and target detection. This paper presents a new…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Hersh Vakharia , Xiaoxiao Du

Bayesian inference for complex models with an intractable likelihood can be tackled using algorithms performing many calls to computer simulators. These approaches are collectively known as "simulation-based inference" (SBI). Recent SBI…

Estimating boundary curves has many applications such as economics, climate science, and medicine. Bayesian trend filtering has been developed as one of locally adaptive smoothing methods to estimate the non-stationary trend of data. This…

Methodology · Statistics 2023-11-13 Takahiro Onizuka , Fumiya Iwashige , Shintaro Hashimoto

In this paper, consensus-based Kalman filtering is extended to deal with the problem of joint target tracking and sensor self-localization in a distributed wireless sensor network. The average weighted Kullback-Leibler divergence, which is…

Systems and Control · Computer Science 2017-07-28 Lin Gao , Giorgio Battistelli , Luigi Chisci , Ping Wei

Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

Numerical Analysis · Mathematics 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

Accurate spatiotemporal calibration is a prerequisite for multisensor fusion. However, sensors are typically asynchronous, and there is no overlap between the fields of view of cameras and LiDARs, posing challenges for intrinsic and…

Robotics · Computer Science 2025-01-07 Yuezhang Lv , Yunzhou Zhang , Chao Lu , Jiajun Zhu , Song Wu

In many applications, tracking of multiple objects is crucial for a perception of the current environment. Most of the present multi-object tracking algorithms assume that objects move independently regarding other dynamic objects as well…

Robotics · Computer Science 2018-12-21 Andreas Danzer , Fabian Gies , Klaus Dietmayer

We propose a scalable track-before-detect (TBD) tracking method based on a Poisson/multi-Bernoulli model. To limit computational complexity, we approximate the exact multi-Bernoulli mixture posterior probability density function (pdf) by a…

Signal Processing · Electrical Eng. & Systems 2021-09-06 Thomas Kropfreiter , Jason L. Williams , Florian Meyer

Finite mixtures are a broad class of models useful in scenarios where observed data is generated by multiple distinct processes but without explicit information about the responsible process for each data point. Estimating Bayesian mixture…

Machine Learning · Statistics 2026-03-17 Šimon Kucharský , Paul Christian Bürkner