Recent advances in directional statistics

A Pewsey, E García-Portugués - Test, 2021 - Springer
Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

Unsupervised grouped axial data modeling via hierarchical Bayesian nonparametric models with Watson distributions

W Fan, L Yang, N Bouguila - IEEE Transactions on Pattern …, 2021 - ieeexplore.ieee.org
This paper aims at proposing an unsupervised hierarchical nonparametric Bayesian
framework for modeling axial data (ie, observations are axes of direction) that can be …

Finite mixture modeling in time series: A survey of Bayesian filters and fusion approaches

T Li, H Liang, B Xiao, Q Pan, Y He - Information Fusion, 2023 - Elsevier
From the celebrated Gaussian mixture, model averaging estimators to the cutting-edge multi-
Bernoulli mixture of various forms, finite mixture models offer a fundamental and flexible …

Variational Bayesian learning for Dirichlet process mixture of inverted Dirichlet distributions in non-Gaussian image feature modeling

Z Ma, Y Lai, WB Kleijn, YZ Song… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
In this paper, we develop a novel variational Bayesian learning method for the Dirichlet
process (DP) mixture of the inverted Dirichlet distributions, which has been shown to be very …

Improving deep neural networks with multi-layer maxout networks and a novel initialization method

W Sun, F Su, L Wang - Neurocomputing, 2018 - Elsevier
For the purpose of enhancing the discriminability of convolutional neural networks (CNNs)
and facilitating the optimization, we investigate the activation function for a neural network …

Decorrelation of neutral vector variables: Theory and applications

Z Ma, JH Xue, A Leijon, ZH Tan… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
In this paper, we propose novel strategies for neutral vector variable decorrelation. Two
fundamental invertible transformations, namely, serial nonlinear transformation and parallel …

Uncertainty quantification in molecular property prediction through spherical mixture density networks

W Fan, L Zeng, T Wang - Engineering Applications of Artificial Intelligence, 2023 - Elsevier
As uncertainty quantification is crucial for determining undesirable inputs and improving
decisions made by a system to acquire accurate evaluations, it has received much attention …

Deep clustering analysis via dual variational autoencoder with spherical latent embeddings

L Yang, W Fan, N Bouguila - IEEE Transactions on Neural …, 2021 - ieeexplore.ieee.org
In recent years, clustering methods based on deep generative models have received great
attention in various unsupervised applications, due to their capabilities for learning …

Insights into multiple/single lower bound approximation for extended variational inference in non-Gaussian structured data modeling

Z Ma, J Xie, Y Lai, J Taghia, JH Xue… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
For most of the non-Gaussian statistical models, the data being modeled represent strongly
structured properties, such as scalar data with bounded support (eg, beta distribution) …

Clustering-based online news topic detection and tracking through hierarchical Bayesian nonparametric models

W Fan, Z Guo, N Bouguila, W Hou - … of the 44th international ACM SIGIR …, 2021 - dl.acm.org
In this paper, we propose a clustering-based online news topic detection and tracking (TDT)
approach based on hierarchical Bayesian nonparametric framework that allows topics to be …