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A Multiple Target, Multiple Type Filtering (MTMTF) algorithm is developed using Random Finite Set (RFS) theory. First, we extend the standard Probability Hypothesis Density (PHD) filter for multiple types of targets, each with distinct…

Applications · Statistics 2019-02-06 Nathanael L. Baisa , Andrew Wallace

In this paper, we propose two methods for tracking multiple extended targets or unresolved group targets with elliptical extent shape. These two methods are deduced from the famous Probability Hypothesis Density (PHD) filter and the…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Yuanhao Cheng , Yunhe Cao , Tat-Soon Yeo , Fu Jie , Wei Zhang

This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

Machine Learning · Statistics 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

Our purpose is to estimate the posterior distribution of the parameters of interest for controlled branching processes (CBPs) without prior knowledge of the maximum number of offspring that an individual can give birth to and without…

Methodology · Statistics 2021-08-10 Miguel González , Carmen Minuesa , Inés del Puerto

A lately created metaheuristic algorithm called Child Drawing Development Optimization (CDDO) has proven to be effective in a number of benchmark tests. A Binary Child Drawing Development Optimization (BCDDO) is suggested for choosing the…

Neural and Evolutionary Computing · Computer Science 2024-04-12 Abubakr S. Issa , Yossra H. Ali , Tarik A. Rashid

The trajectory probability hypothesis density filter (TPHD) is capable of producing trajectory estimates in first principle without adding labels or tags. In this paper, we propose a new TPHD filter referred as MM-TPHD for jump Markov…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Boxiang Zhang , Wei Yi

In this work, a kernel-based Ensemble Gaussian Mixture Probability Hypothesis Density (EnGM-PHD) filter is presented for multi-target filtering applications. The EnGM-PHD filter combines the Gaussian-mixture-based techniques of the Gaussian…

Machine Learning · Computer Science 2025-05-02 Dalton Durant , Renato Zanetti

Adaptive track initiation remains a crucial component of many modern multi-target tracking systems. For labeled random finite sets multi-object filters, prior work has been established to construct a labeled multi-object birth density using…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Jennifer Bondarchuk , Anthony Trezza , Donald J. Bucci

Cardinality matching is a computational method for finding the largest possible number of matched pairs of exposed and unexposed individuals from an observational dataset, with specified patterns of baseline characteristics that represent a…

Methodology · Statistics 2022-02-17 Bijan A. Niknam , Jose R. Zubizarreta

We analyze the performance of different resampling strategies for the regularized particle filter regarding parameter estimation. We show in particular, building on analytical insight obtained in the linear Gaussian case, that resampling…

Computation · Statistics 2017-05-12 Pierre Carmier , Olexiy Kyrgyzov , Paul-Henry Cournède

Multi-target tracking is an important problem in civilian and military applications. This paper investigates multi-target tracking in distributed sensor networks. Data association, which arises particularly in multi-object scenarios, can be…

Multiagent Systems · Computer Science 2018-12-04 Mark R. Leonard , Abdelhak M. Zoubir

While the design of automated knowledge-based sensor scheduling is relevant to many multi-target detection and tracking problems, tracking algorithms are rarely built for this purpose and their outputs provide little flexibility for the…

Applications · Statistics 2016-07-13 Emmanuel Delande , Jeremie Houssineau , Daniel E. Clark

This paper shows that the Poisson multi-Bernoulli mixture (PMBM) density is a multi-target conjugate prior for general target-generated measurement distributions and arbitrary clutter distributions. That is, for this multi-target…

Applications · Statistics 2023-05-25 Ángel F. García-Fernández , Yuxuan Xia , Lennart Svensson

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

Machine Learning · Statistics 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

A mixture of multivariate contaminated normal distributions is developed for model-based clustering. In addition to the parameters of the classical normal mixture, our contaminated mixture has, for each cluster, a parameter controlling the…

Methodology · Statistics 2016-05-20 Antonio Punzo , Paul D. McNicholas

In object tracking and state estimation problems, ambiguous evidence such as imprecise measurements and the absence of detections can contain valuable information and thus be leveraged to further refine the probabilistic belief state. In…

Signal Processing · Electrical Eng. & Systems 2023-05-23 Keith A. LeGrand , Silvia Ferrari

A generative model is developed for deep (multi-layered) convolutional dictionary learning. A novel probabilistic pooling operation is integrated into the deep model, yielding efficient bottom-up (pretraining) and top-down (refinement)…

Machine Learning · Statistics 2015-04-17 Yunchen Pu , Xin Yuan , Lawrence Carin

Language models are increasingly used in settings where outputs must satisfy user-specified randomness constraints, yet their generation probabilities are often poorly calibrated to those targets. We study whether this capability can be…

Computation and Language · Computer Science 2026-05-13 Davide Baldelli , Sruthi Kuriakose , Maryam Hashemzadeh , Amal Zouaq , Sarath Chandar

Although geographic isolation has been shown to play a key role in promoting reproductive isolation, it is now believed that speciation can also happen in sympatry and with considerable gene flow. Here we present a model of sympatric…

Populations and Evolution · Quantitative Biology 2020-05-20 Rodrigo A. Caetano , Sergio Sanchez , Carolina L. N. Costa , Marcus A. M. de Aguiar

In this article, we study the continuous-discrete projection filter for exponential-family manifolds with conjugate likelihoods. We first derive the local projection error of the prediction step of the continuous-discrete projection filter.…

Optimization and Control · Mathematics 2026-02-11 Muhammad F. Emzir , Zaid A. Sawlan , Sami El Ferik