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The identification of new rare signals in data, the detection of a sudden change in a trend, and the selection of competing models, are among the most challenging problems in statistical practice. These challenges can be tackled using a…

Methodology · Statistics 2022-04-06 Sara Algeri , David A. van Dyk

Robust aiding of inertial navigation systems in GNSS-denied environments is critical for the removal of accumulated navigation error caused by the drift and bias inherent in inertial sensors. One way to perform such an aiding uses matching…

Robotics · Computer Science 2022-04-01 Xuezhi Wang , Christopher Gilliam , Allison Kealy , John Close , Bill Moran

In the existing literature, most 3D multi-object tracking algorithms based on the tracking-by-detection framework employed deterministic tracks and detections for similarity calculation in the data association stage. Namely, the inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Jiawei He , Chunyun Fu , Xiyang Wang

Robust tracking of a target in a clutter environment is an important and challenging task. In recent years, the nearest neighbor methods and probabilistic data association filters were proposed. However, the performance of these methods…

Machine Learning · Computer Science 2020-12-18 Bahman Moraffah , Christ Richmond , Raha Moraffah , Antonia Papandreou-Suppappola

With the symbolic framework of Probability Bracket Notation (PBN), the Markov Sequence Projector (MSP) is introduced to expand the evolution formula of Homogeneous Markov Chains (HMCs). The well-known weather example, a Visible Markov Model…

Artificial Intelligence · Computer Science 2025-02-21 Xing M. Wang

Routing problems such as Hamiltonian Path Problem (HPP), seeks a path to visit all the vertices in a graph while minimizing the path cost. This paper studies a variant, HPP with Probabilistic Terminals (HPP-PT), where each vertex has a…

Robotics · Computer Science 2026-01-21 Yunpeng Lyu , Chao Cao , Ji Zhang , Howie Choset , Zhongqiang Ren

We describe a generalization of the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) which is able to encode prior information that state transitions are more likely between "nearby" states. This is accomplished by defining a…

Machine Learning · Statistics 2017-07-24 Colin Reimer Dawson , Chaofan Huang , Clayton T. Morrison

Discriminative Correlation Filters based tracking algorithms exploiting conventional handcrafted features have achieved impressive results both in terms of accuracy and robustness. Template handcrafted features have shown excellent…

Computer Vision and Pattern Recognition · Computer Science 2018-07-20 Peng Gao , Yipeng Ma , Chao Li , Ke Song , Fei Wang , Liyi Xiao

We present a novel approach for improving particle filters for multi-target tracking. The suggested approach is based on drift homotopy for stochastic differential equations. Drift homotopy is used to design a Markov Chain Monte Carlo step…

Numerical Analysis · Mathematics 2011-02-11 Vasileios Maroulas , Panagiotis Stinis

State of the art methods for target tracking with sensor management (or controlled sensing) are model-based and are obtained through solutions to Partially Observable Markov Decision Process (POMDP) formulations. In this paper a…

Signal Processing · Electrical Eng. & Systems 2024-07-22 Adarsh M. Subramaniam , Argyrios Gerogiannis , James Z. Hare , Venugopal V. Veeravalli

The use of M-estimators in generalized linear regression models in high dimensional settings requires risk minimization with hard $L_0$ constraints. Of the known methods, the class of projected gradient descent (also known as iterative hard…

Machine Learning · Computer Science 2014-10-22 Prateek Jain , Ambuj Tewari , Purushottam Kar

Path planning in obstacle-dense environments is a key challenge in robotics, and depends on inferring scene attributes and associated uncertainties. We present a multiple-hypothesis path planner designed to navigate complex environments…

Robotics · Computer Science 2023-08-16 Brian H. Wang , Beatriz Asfora , Rachel Zheng , Aaron Peng , Jacopo Banfi , Mark Campbell

We present a polyphonic MIDI score-following algorithm capable of following performances with arbitrary repeats and skips, based on a probabilistic model of musical performances. It is attractive in practical applications of score following…

Artificial Intelligence · Computer Science 2014-07-08 Eita Nakamura , Tomohiko Nakamura , Yasuyuki Saito , Nobutaka Ono , Shigeki Sagayama

Object tracking is divided into single-object tracking (SOT) and multi-object tracking (MOT). MOT aims to maintain the identities of multiple objects across a series of continuous video sequences. In recent years, MOT has made rapid…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Yukuan Zhang , Yunhua Jia , Housheng Xie , Mengzhen Li , Limin Zhao , Yang Yang , Shan Zhao

We propose a new algorithm for numerical path tracking in polynomial homotopy continuation. The algorithm is `robust' in the sense that it is designed to prevent path jumping and in many cases, it can be used in (only) double precision…

Algebraic Geometry · Mathematics 2020-09-11 Simon Telen , Marc Van Barel , Jan Verschelde

The tracking-by-detection paradigm is the mainstream in multi-object tracking, associating tracks to the predictions of an object detector. Although exhibiting uncertainty through a confidence score, these predictions do not capture the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Edgardo Solano-Carrillo , Felix Sattler , Antje Alex , Alexander Klein , Bruno Pereira Costa , Angel Bueno Rodriguez , Jannis Stoppe

The Bernoulli filter is a Bayes filter for joint detection and tracking of a target in the presence of false and miss detections. This paper presents a mathematical formulation of the Bernoulli filter in the framework of possibility theory,…

Information Theory · Computer Science 2019-11-12 Branko Ristic , Jeremie Houssineau , Sanjeev Arulampalam

We propose an efficient random finite set (RFS) based algorithm for multiobject tracking in which the object states are modeled by a combination of a labeled multi-Bernoulli (LMB) RFS and a Poisson RFS. The less computationally demanding…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Thomas Kropfreiter , Florian Meyer , Franz Hlawatsch

The existence and consistency of a maximum likelihood estimator for the joint probability distribution of random parameters in discrete-time abstract parabolic systems are established by taking a nonparametric approach in the context of a…

Methodology · Statistics 2023-04-26 Lernik Asserian , Susan E. Luczak , I. G. Rosen

Multi-object tracking (MOT) is an important and practical task related to both surveillance systems and moving camera applications, such as autonomous driving and robotic vision. However, due to unreliable detection, occlusion and fast…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Gaoang Wang , Yizhou Wang , Haotian Zhang , Renshu Gu , Jenq-Neng Hwang
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