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We present an approach to learn the dynamics of multiple objects from image sequences in an unsupervised way. We introduce a probabilistic model that first generate noisy positions for each object through a separate linear state-space…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Silvia Chiappa , Ulrich Paquet

Three-dimensional tracking of multiple objects from multiple views has a wide range of applications, especially in the study of bio-cluster behavior which requires precise trajectories of research objects. However, there are significant…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Nianhao Xie

In multi-object inference, the multi-object probability density captures the uncertainty in the number and the states of the objects as well as the statistical dependence between the objects. Exact computation of the multi-object density is…

Other Statistics · Statistics 2015-10-28 Francesco Papi , Ba-Ngu Vo , Ba-Tuong Vo , Claudio Fantacci , Michael Beard

This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output. Such parameters are frequently encountered in…

Mathematical Physics · Physics 2015-05-13 P. S. Koutsourelakis

We present a Bayesian nonparametric framework for multilevel clustering which utilizes group-level context information to simultaneously discover low-dimensional structures of the group contents and partitions groups into clusters. Using…

Machine Learning · Computer Science 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

Nonlinear differential equations (DEs) are used in a wide range of scientific problems to model complex dynamic systems. The differential equations often contain unknown parameters that are of scientific interest, which have to be estimated…

Computation · Statistics 2021-09-07 Shijia Wang , Shufei Ge , Renny Doig , Liangliang Wang

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

Data Analysis, Statistics and Probability · Physics 2022-12-14 Martin Heßler , Oliver Kamps

We develop a Bayesian framework for tackling the supervised clustering problem, the generic problem encountered in tasks such as reference matching, coreference resolution, identity uncertainty and record linkage. Our clustering model is…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

When incorporating historical control data into the analysis of current randomized controlled trial data, it is critical to account for differences between the datasets. When the cause of the difference is an unmeasured factor and…

Methodology · Statistics 2025-09-10 Tomohiro Ohigashi , Kazushi Maruo , Takashi Sozu , Masahiko Gosho

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

Accurately tracking and predicting behaviors of surrounding objects are key prerequisites for intelligent systems such as autonomous vehicles to achieve safe and high-quality decision making and motion planning. However, there still remain…

Robotics · Computer Science 2020-03-31 Jiachen Li , Wei Zhan , Yeping Hu , Masayoshi Tomizuka

Dirichlet processes (DP) are widely applied in Bayesian nonparametric modeling. However, in their basic form they do not directly integrate dependency information among data arising from space and time. In this paper, we propose location…

Machine Learning · Statistics 2017-07-04 Shiliang Sun , John Paisley , Qiuyang Liu

In autonomous driving and robotics, there is a growing interest in utilizing short-term historical data to enhance multi-camera 3D object detection, leveraging the continuous and correlated nature of input video streams. Recent work has…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Seokha Moon , Hongbeen Park , Jungphil Kwon , Jaekoo Lee , Jinkyu Kim

We aim at modelling the appearance of distinct tags in a sequence of labelled objects. Common examples of this type of data include words in a corpus or distinct species in a sample. These sequential discoveries are often summarised via…

Methodology · Statistics 2020-11-16 Alessandro Zito , Tommaso Rigon , Otso Ovaskainen , David Dunson

Autonomous vehicles often perceive the environment by feeding sensor data to a learned detector algorithm, then feeding detections to a multi-object tracker that models object motions over time. Probabilistic models of multi-object trackers…

Robotics · Computer Science 2019-09-19 Michael Motro , Joydeep Ghosh

This paper proposes a nonparametric Bayesian framework called VariScan for simultaneous clustering, variable selection, and prediction in high-throughput regression settings. Poisson-Dirichlet processes are utilized to detect…

Methodology · Statistics 2019-10-08 Subharup Guha , Veerabhadran Baladandayuthapani

This paper uses multi-object tracking methods known from the radar tracking community to address the problem of pedestrian tracking using 2D bounding box detections. The standard point-object (SPO) model is adopted, and the posterior…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

We address the problem of tracking the 6-DoF pose of an object while it is being manipulated by a human or a robot. We use a dynamic Bayesian network to perform inference and compute a posterior distribution over the current object pose.…

Robotics · Computer Science 2015-05-04 Manuel Wüthrich , Peter Pastor , Mrinal Kalakrishnan , Jeannette Bohg , Stefan Schaal

We study the tracking problem, namely, estimating the hidden state of an object over time, from unreliable and noisy measurements. The standard framework for the tracking problem is the generative framework, which is the basis of solutions…

Machine Learning · Computer Science 2010-01-19 Kamalika Chaudhuri , Yoav Freund , Daniel Hsu

This paper proposes a novel particle filter for tracking time-varying states of multiple targets jointly from superpositional data, which depend on the sum of contributions of all targets. Many conventional tracking methods rely on…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Nobutaka Ito , Simon Godsill
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