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Generalized Labeled Multi-Bernoulli (GLMB) densities arise in a host of multi-object system applications analogous to Gaussians in single-object filtering. However, computing the GLMB filtering density requires solving NP-hard problems. To…

Machine Learning · Statistics 2023-12-29 Changbeom Shim , Ba-Tuong Vo , Ba-Ngu Vo , Jonah Ong , Diluka Moratuwage

Sparse convex clustering is to cluster observations and conduct variable selection simultaneously in the framework of convex clustering. Although a weighted $L_1$ norm is usually employed for the regularization term in sparse convex…

Machine Learning · Statistics 2020-05-27 Kaito Shimamura , Shuichi Kawano

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

Gibbs sampling is a widely popular Markov chain Monte Carlo algorithm that can be used to analyze intractable posterior distributions associated with Bayesian hierarchical models. There are two standard versions of the Gibbs sampler: The…

Statistics Theory · Mathematics 2020-01-01 Grant Backlund , James P. Hobert , Yeun Ji Jung , Kshitij Khare

This work addresses the fundamental linear inverse problem in compressive sensing (CS) by introducing a new type of regularizing generative prior. Our proposed method utilizes ideas from classical dictionary-based CS and, in particular,…

Machine Learning · Statistics 2024-11-15 Benedikt Böck , Sadaf Syed , Wolfgang Utschick

With the routine collection of massive-dimensional predictors in many application areas, screening methods that rapidly identify a small subset of promising predictors have become commonplace. We propose a new MOdular Bayes Screening (MOBS)…

Methodology · Statistics 2017-03-30 Yuhan Chen , David B. Dunson

In this letter, we consider the problem of signal detection in generalized spatial modulation (GSM) using deep neural networks (DNN). We propose a novel modularized DNN architecture that uses small sub-DNNs to detect the active antennas and…

Information Theory · Computer Science 2020-08-25 Bharath Shamasundar , A. Chockalingam

Estimation of finite mixture models when the mixing distribution support is unknown is an important problem. This paper gives a new approach based on a marginal likelihood for the unknown support. Motivated by a Bayesian Dirichlet prior…

Methodology · Statistics 2013-02-11 Ryan Martin

Line-intensity mapping (LIM) is an emerging cosmological technique that traces large-scale structure through the integrated spectral-line emission of unresolved sources. Reconstructing unbiased sky maps requires careful joint treatment of…

Instrumentation and Methods for Astrophysics · Physics 2026-03-25 Zheng Zhang , Philip Bull , Mario G. Santos , Ainulnabilah Nasirudin

Solving ill-posed inverse problems by Bayesian inference has recently attracted considerable attention. Compared to deterministic approaches, the probabilistic representation of the solution by the posterior distribution can be exploited to…

Numerical Analysis · Mathematics 2016-11-03 Felix Lucka

By developing data augmentation methods unique to the negative binomial (NB) distribution, we unite seemingly disjoint count and mixture models under the NB process framework. We develop fundamental properties of the models and derive…

Machine Learning · Statistics 2013-02-18 Mingyuan Zhou , Lawrence Carin

Bayesian feature allocation models are a popular tool for modelling data with a combinatorial latent structure. Exact inference in these models is generally intractable and so practitioners typically apply Markov Chain Monte Carlo (MCMC)…

Computation · Statistics 2020-01-28 Alexandre Bouchard-Côté , Andrew Roth

Node classification using Graph Neural Networks (GNNs) has been widely applied in various real-world scenarios. However, in recent years, compelling evidence emerges that the performance of GNN-based node classification may deteriorate…

Machine Learning · Computer Science 2022-08-23 Jun Zhuang , Mohammad Al Hasan

We develop a general class of Bayesian repulsive Gaussian mixture models that encourage well-separated clusters, aiming at reducing potentially redundant components produced by independent priors for locations (such as the Dirichlet…

Methodology · Statistics 2017-10-24 Fangzheng Xie , Yanxun Xu

In this paper, we consider a simple coding scheme for spatial modulation (SM), where the same set of active transmit antennas is repeatedly used over consecutive multiple transmissions. Based on a Gaussian approximation, an approximate…

Information Theory · Computer Science 2019-01-01 Jinho Choi

Supervised topic models with a logistic likelihood have two issues that potentially limit their practical use: 1) response variables are usually over-weighted by document word counts; and 2) existing variational inference methods make…

Machine Learning · Computer Science 2013-10-10 Jun Zhu , Xun Zheng , Bo Zhang

In binary-transaction data-mining, traditional frequent itemset mining often produces results which are not straightforward to interpret. To overcome this problem, probability models are often used to produce more compact and conclusive…

Machine Learning · Computer Science 2012-09-27 Ruefei He , Jonathan Shapiro

Automatic modulation classification enables intelligent communications and it is of crucial importance in today's and future wireless communication networks. Although many automatic modulation classification schemes have been proposed, they…

Signal Processing · Electrical Eng. & Systems 2021-06-01 Hao Zhang , Fuhui Zhou , Qihui Wu , Wei Wu , Rose Qingyang Hu

In this paper we present a new Bayesian network model for classification that combines the naive-Bayes (NB) classifier and the finite-mixture (FM) classifier. The resulting classifier aims at relaxing the strong assumptions on which the two…

Machine Learning · Computer Science 2013-01-30 Stefano Monti , Gregory F. Cooper

Dynamic Bayesian networks (DBNs) offer an elegant way to integrate various aspects of language in one model. Many existing algorithms developed for learning and inference in DBNs are applicable to probabilistic language modeling. To…

Computation and Language · Computer Science 2007-05-23 Leonid Peshkin , Avi Pfeffer