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In this article, we investigate the use of a probabilistic model for unsupervised clustering in text collections. Unsupervised clustering has become a basic module for many intelligent text processing applications, such as information…

Information Retrieval · Computer Science 2016-08-16 Loïs Rigouste , Olivier Cappé , François Yvon

Masked diffusion models (MDMs) have shown promise in language modeling, yet their scalability and effectiveness in core language tasks, such as text generation and language understanding, remain underexplored. This paper establishes the…

Artificial Intelligence · Computer Science 2025-03-03 Shen Nie , Fengqi Zhu , Chao Du , Tianyu Pang , Qian Liu , Guangtao Zeng , Min Lin , Chongxuan Li

Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set. One of the most common clustering algorithms is k-means. Unfortunately, when…

Machine Learning · Statistics 2021-08-17 Olga Dorabiala , J. Nathan Kutz , Aleksandr Aravkin

We consider the problem of distributedly estimating Gaussian processes in multi-agent frameworks. Each agent collects few measurements and aims to collaboratively reconstruct a common estimate based on all data. Agents are assumed with…

Multiagent Systems · Computer Science 2018-05-11 Gianluigi Pillonetto , Luca Schenato , Damiano Varagnolo

Restricted Boltzmann Machine (RBM) is a particular type of random neural network models modeling vector data based on the assumption of Bernoulli distribution. For multi-dimensional and non-binary data, it is necessary to vectorize and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-28 Simeng Liu , Yanfeng Sun , Yongli Hu , Junbin Gao , Baocai Yin

Deep learning (DL) based channel estimation (CE) and multiple input and multiple output detection (MIMODet), as two separate research topics, have provided convinced evidence to demonstrate the effectiveness and robustness of artificial…

Signal Processing · Electrical Eng. & Systems 2024-01-30 Xiangzhao Qin , Sha Hu , Jiankun Zhang , Jing Qian , Hao Wang

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

Computation · Statistics 2008-07-22 Ioana A. Cosma , Masoud Asgharian

Degradation data are considered for assessing reliability in highly reliable systems. The usual assumption is that degradation units come from a homogeneous population. But in presence of high variability in the manufacturing process, this…

Methodology · Statistics 2026-01-15 Barin Karmakar , Biswabrata Pradhan

A complete understanding of heterogeneous treatment effects involves characterizing the full conditional distribution of potential outcomes. To this end, we propose the Conditional Counterfactual Mean Embeddings (CCME), a framework that…

Machine Learning · Statistics 2026-02-05 Thatchanon Anancharoenkij , Donlapark Ponnoprat

This paper provides a mixture modeling framework using the bivariate generalized exponential distribution. We study different properties of this mixture distribution. Hierarchical EM algorithm is developed for finding the estimates of the…

Computation · Statistics 2018-04-03 Arabin Kumar Dey , Debasis Kundu , Tumati Kiran Kumar

A general methodology is introduced for the construction and effective application of control variates to estimation problems involving data from reversible MCMC samplers. We propose the use of a specific class of functions as control…

Computation · Statistics 2010-08-10 Petros Dellaportas , Ioannis Kontoyiannis

In this paper, we consider the parameter estimation problem over sensor networks in the presence of quantized data and directed communication links. We propose a two-stage algorithm aiming at achieving the centralized sample mean estimate…

Systems and Control · Computer Science 2015-07-27 Shanying Zhu , Yeng Chai Soh , Lihua Xie

Microsimulation models (MSMs) are used to predict population-level effects of health care policies by simulating individual-level outcomes. Simulated outcomes are governed by unknown parameters that are chosen so that the model accurately…

Methodology · Statistics 2018-08-14 Carolyn Rutter , Jonathan Ozik , Maria DeYoreo , Nicholson Collier

This paper explores the critical domain of Revenue Management (RM) within Operations Research (OR), focusing on intricate pricing dynamics. Utilizing Mixed Integer Linear Programming (MILP) models, the study enhances revenue optimization by…

Optimization and Control · Mathematics 2024-04-08 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

This paper investigates Gaussian copula mixture models (GCMM), which are an extension of Gaussian mixture models (GMM) that incorporate copula concepts. The paper presents the mathematical definition of GCMM and explores the properties of…

Machine Learning · Computer Science 2023-05-25 Ke Wan , Alain Kornhauser

Many psychological theories can be operationalized as linear inequality constraints on the parameters of multinomial distributions (e.g., discrete choice analysis). These constraints can be described in two equivalent ways: Either as the…

Computation · Statistics 2019-04-23 Daniel W. Heck , Clintin P. Davis-Stober

We describe a nonparametric topic model for labeled data. The model uses a mixture of random measures (MRM) as a base distribution of the Dirichlet process (DP) of the HDP framework, so we call it the DP-MRM. To model labeled data, we…

Machine Learning · Computer Science 2012-06-22 Dongwoo Kim , Suin Kim , Alice Oh

This paper describes a novel energy-based probabilistic distribution that represents complex-valued data and explains how to apply it to direct feature extraction from complex-valued spectra. The proposed model, the complex-valued…

Audio and Speech Processing · Electrical Eng. & Systems 2018-03-28 Toru Nakashika , Shinji Takaki , Junichi Yamagishi

This paper generalises the exponential family GLM to allow arbitrary distributions for the response variable. This is achieved by combining the model-assisted regression approach from survey sampling with the GLM scoring algorithm, weighted…

Methodology · Statistics 2019-01-10 Murray Aitkin

This paper investigates the computational and statistical limits in clustering matrix-valued observations. We propose a low-rank mixture model (LrMM), adapted from the classical Gaussian mixture model (GMM) to treat matrix-valued…

Statistics Theory · Mathematics 2023-06-08 Zhongyuan Lyu , Dong Xia