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The family of pointillist multitarget tracking filters is defined to be the class of filters that is characterized by a joint target-measurement finite point process. The probability generating functional (PGFL) of the joint process is…

Applications · Statistics 2015-06-22 Roy Streit , Christoph Degen , Wolfgang Koch

Learning from Label Proportions (LLP) is an established machine learning problem with numerous real-world applications. In this setting, data items are grouped into bags, and the goal is to learn individual item labels, knowing only the…

Machine Learning · Computer Science 2023-10-31 Gabriel Franco , Giovanni Comarela , Mark Crovella

We develop a general framework for estimating the $L_\infty(\mathbb{T}^d)$ error for the approximation of multivariate periodic functions belonging to specific reproducing kernel Hilbert spaces (RHKS) using approximants that are…

Numerical Analysis · Mathematics 2019-09-06 Lutz Kämmerer

Machine learning techniques for Recommendation System (RS) and Classification has become a prime focus of research to tackle the problem of information overload. RS are software tools that aim at making informed decisions about the services…

Information Retrieval · Computer Science 2019-07-30 Vikas Kumar

In radar systems, tracking targets in low signal-to-noise ratio (SNR) environments is a very important task. There are some algorithms designed for multitarget tracking. Their performances, however, are not satisfactory in low SNR…

Applications · Statistics 2015-05-30 Huisi Tong , Hao Zhang , Huadong Meng , Xiqin Wang

This work addresses the problem of tracking maneuvering objects with complex motion patterns, a task in which conventional methods often struggle due to their reliance on predefined motion models. We integrate a data-driven liquid neural…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Minti Liu , Qinghua Guo , Cao Zeng , Yanguang Yu , Jun Li , Ming Jin

Data association is a key step within the multi-object tracking pipeline that is notoriously challenging due to its combinatorial nature. A popular and general way to formulate data association is as the NP-hard multidimensional assignment…

Computer Vision and Pattern Recognition · Computer Science 2020-08-27 Patrick Emami , Panos M. Pardalos , Lily Elefteriadou , Sanjay Ranka

This paper addresses multi-object systems, where objects may occlude one another relative to the sensor. The standard point-object model for detection-based sensors is enhanced so that the probability of detection considers the presence of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

This paper considers an ML inspired approach to hypothesis testing known as classifier/classification-accuracy testing ($\mathsf{CAT}$). In $\mathsf{CAT}$, one first trains a classifier by feeding it labeled synthetic samples generated by…

Statistics Theory · Mathematics 2025-11-25 Patrik Róbert Gerber , Yanjun Han , Yury Polyanskiy

We present a novel algorithm for generating robust and consistent hypotheses for multiple-structure model fitting. Most of the existing methods utilize random sampling which produce varying results especially when outlier ratio is high. For…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Kwang Hee Lee , Chanki Yu , Sang Wook Lee

Traditional multiple object tracking methods divide the task into two parts: affinity learning and data association. The separation of the task requires to define a hand-crafted training goal in affinity learning stage and a hand-crafted…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Han Shen , Lichao Huang , Chang Huang , Wei Xu

Multi-label classification is a type of supervised learning where an instance may belong to multiple labels simultaneously. Predicting each label independently has been criticized for not exploiting any correlation between labels. In this…

Machine Learning · Statistics 2023-10-25 Hyukjun Gweon , Matthias Schonlau , Stefan Steiner

The Mahalanobis distance is commonly used in multi-object trackers for measurement-to-track association. Starting with the original definition of the Mahalanobis distance we review its use in association. Given that there is no principle in…

Systems and Control · Computer Science 2023-08-11 Richard Altendorfer , Sebastian Wirkert

In multiclass classification, the goal is to learn how to predict a random label $Y$, valued in $\mathcal{Y}=\{1,\; \ldots,\; K \}$ with $K\geq 3$, based upon observing a r.v. $X$, taking its values in $\mathbb{R}^q$ with $q\geq 1$ say, by…

Machine Learning · Statistics 2020-02-24 Stephan Clémençon , Robin Vogel

In many supervised learning tasks, the entities to be labeled are related to each other in complex ways and their labels are not independent. For example, in hypertext classification, the labels of linked pages are highly correlated. A…

Machine Learning · Computer Science 2013-01-07 Ben Taskar , Pieter Abbeel , Daphne Koller

Lagrangian Particle Tracking (LPT) enables practitioners to study various concepts in turbulence by measuring particle positions in flows of interest. This data is subject to measurement errors, and filtering techniques are applied to…

Fluid Dynamics · Physics 2026-01-16 Griffin M. Kearney , Kasey M. Laurent , Reece V. Kearney

We propose a new framework that extends the standard Probability Hypothesis Density (PHD) filter for multiple targets having $N\geq2$ different types based on Random Finite Set theory, taking into account not only background clutter, but…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Nathanael L. Baisa , Andrew Wallace

Many multi-object estimation problems require additional estimation of model or sensor parameters that are either common to all objects or related to unknown characterisation of one or more sensors. Important examples of these include…

Statistics Theory · Mathematics 2017-05-16 Isabel Schlangen , Daniel E. Clark , Emmanuel D. Delande

Multi-object tracking aims to maintain object identities over time by associating detections across video frames. Two dominant paradigms exist in literature: tracking-by-detection methods, which are computationally efficient but rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Momir Adžemović

This paper assumes prior detections of multiple targets at each time instant, and uses a graph-based approach to connect those detections across time, based on their position and appearance estimates. In contrast to most earlier works in…

Computer Vision and Pattern Recognition · Computer Science 2015-09-02 Amit Kumar K. C. , Damien Delannay , Christophe De Vleeschouwer