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In this paper, we study the Bernstein polynomial model for estimating the multivariate distribution functions and densities with bounded support. As a mixture model of multivariate beta distributions, the maximum (approximate) likelihood…

Methodology · Statistics 2019-01-23 Tao Wang , Zhong Guan

Recently, a generalized Bernoulli process (GBP) was developed as a stationary binary sequence whose covariance function obeys a power law. In this paper, we further develop generalized Bernoulli processes, reveal their asymptotic behaviors,…

Probability · Mathematics 2023-11-21 Jeonghwa Lee

As graph data grows increasingly complicate, training graph neural networks (GNNs) on large-scale datasets presents significant challenges, including computational resource constraints, data redundancy, and transmission inefficiencies.…

Machine Learning · Computer Science 2025-12-05 Liangliang Zhang , Haoran Bao , Yao Ma

Region-of-Interest (ROI)-based image compression allocates bits unevenly according to the semantic importance of different regions. Such differentiated coding typically induces a sharp-peaked and heavy-tailed distribution. This distribution…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Kai Hu , Junfu Tan , Fang Xu , Ramy Samy , Yu Liu

This paper presents a multitarget tracking particle filter (PF) for general track-before-detect measurement models. The PF is presented in the random finite set framework and uses a labelled multi-Bernoulli approximation. We also present a…

Applications · Statistics 2018-01-18 Ángel F. García-Fernández

Domain generalization (DG) aims to improve the generalizability of computer vision models toward distribution shifts. The mainstream DG methods focus on learning domain invariance, however, such methods overlook the potential inherent in…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Shaocong Long , Qianyu Zhou , Xiangtai Li , Chenhao Ying , Yunhai Tong , Lizhuang Ma , Yuan Luo , Dacheng Tao

Sampling from unnormalized densities using diffusion models has emerged as a powerful paradigm. However, while recent approaches that use least-squares `matching' objectives have improved scalability, they often necessitate significant…

Machine Learning · Computer Science 2026-03-03 Denis Blessing , Lorenz Richter , Julius Berner , Egor Malitskiy , Gerhard Neumann

Next-generation galaxy surveys will be able to measure perturbations on scales beyond the equality scale. On these ultra-large scales, primordial non-Gaussianity leaves signatures that can shed light on the mechanism by which perturbations…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-10 Mario Ballardini , William Luke Matthewson , Roy Maartens

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

Distribution learning focuses on learning the probability density function from a set of data samples. In contrast, clustering aims to group similar objects together in an unsupervised manner. Usually, these two tasks are considered…

Machine Learning · Computer Science 2023-08-31 Guanfang Dong , Chenqiu Zhao , Anup Basu

Causal inference methods for observational data are highly regarded due to their wide applicability. While there are already numerous methods available for de-confounding bias, these methods generally assume that covariates consist solely…

Methodology · Statistics 2024-04-30 Yonghe Zhao , Huiyan Sun

Domain adaptive semantic segmentation aims to generate accurate and dense predictions for an unlabeled target domain by leveraging a supervised model trained on a labeled source domain. The prevalent self-training approach involves…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Nazanin Moradinasab , Laura S. Shankman , Rebecca A. Deaton , Gary K. Owens , Donald E. Brown

The Gaussian Mixture Probability Hypothesis Density (GM-PHD) filter is an almost exact closed-form approximation to the Bayes-optimal multi-target tracking algorithm. Due to its optimality guarantees and ease of implementation, it has been…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Shiraz Khan , Yi-Chieh Sun , Inseok Hwang

Gaussian Graphical Models (GGMs) are widely used in high-dimensional data analysis to synthesize the interaction between variables. In many applications, such as genomics or image analysis, graphical models rely on sparsity and clustering…

Machine Learning · Statistics 2026-03-25 Do Edmond Sanou , Christophe Ambroise , Geneviève Robin

A recent trend in distributed multi-sensor fusion is to use random finite set filters at the sensor nodes and fuse the filtered distributions algorithmically using their exponential mixture densities (EMDs). Fusion algorithms which extend…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Murat Üney , Jérémie Houssineau , Emmanuel Delande , Simon J. Julier , Daniel E. Clark

We introduce the state-of-the-art deep learning Denoising Diffusion Probabilistic Model (DDPM) as a method to infer the volume or number density of giant molecular clouds (GMCs) from projected mass surface density maps. We adopt…

Astrophysics of Galaxies · Physics 2023-06-28 Duo Xu , Jonathan C. Tan , Chia-Jung Hsu , Ye Zhu

In this work, we propose a method for tracking multiple extended targets or unresolvable group targets in a clutter environment. Firstly, based on the Random Matrix Model (RMM), the joint state of the target is modeled as the Gamma Gaussian…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Yuanhao Cheng , Yunhe Cao , Tat-Soon Yeo , Yulin Zhang , Jie Fu

We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Shukun Zhang , James M. Murphy

Few-shot node classification poses a significant challenge for Graph Neural Networks (GNNs) due to insufficient supervision and potential distribution shifts between labeled and unlabeled nodes. Self-training has emerged as a widely popular…

Machine Learning · Computer Science 2024-01-22 Fali Wang , Tianxiang Zhao , Suhang Wang

Gaussian mixtures are widely used for approximating density functions in various applications such as density estimation, belief propagation, and Bayesian filtering. These applications often utilize Gaussian mixtures as initial…

Machine Learning · Statistics 2023-10-18 Qiong Zhang , Archer Gong Zhang , Jiahua Chen