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Community detection is a critical tool for understanding the mesoscopic structure of large-scale networks. However, when applied to aggregated or coarse-grained social networks, disjoint community partitions cannot capture the diverse…

Social and Information Networks · Computer Science 2026-05-04 Gamal Adel , Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes

We derive closed-form expressions for the Bayes optimal decision boundaries in binary classification of high dimensional overlapping Gaussian mixture model (GMM) data, and show how they depend on the eigenstructure of the class covariances,…

Machine Learning · Statistics 2024-05-29 Khen Cohen , Noam Levi , Yaron Oz

We provide new algorithms for two tasks relating to heterogeneous tabular datasets: clustering, and synthetic data generation. Tabular datasets typically consist of heterogeneous data types (numerical, ordinal, categorical) in columns, but…

Machine Learning · Computer Science 2024-04-22 Chandrani Kumari , Rahul Siddharthan

Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable, meaning they cannot be…

Machine Learning · Statistics 2025-06-02 Stas Syrota , Yevgen Zainchkovskyy , Johnny Xi , Benjamin Bloem-Reddy , Søren Hauberg

We introduce the nonparametric metadata dependent relational (NMDR) model, a Bayesian nonparametric stochastic block model for network data. The NMDR allows the entities associated with each node to have mixed membership in an unbounded…

Machine Learning · Computer Science 2012-07-03 Dae Il Kim , Michael Hughes , Erik Sudderth

We present doubly stochastic gradient MCMC, a simple and generic method for (approximate) Bayesian inference of deep generative models (DGMs) in a collapsed continuous parameter space. At each MCMC sampling step, the algorithm randomly…

Machine Learning · Computer Science 2016-03-08 Chao Du , Jun Zhu , Bo Zhang

Last years have seen a regain of interest for the use of stochastic block modeling (SBM) in recommender systems. These models are seen as a flexible alternative to tensor decomposition techniques that are able to handle labeled data. Recent…

Machine Learning · Computer Science 2022-09-19 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Cognitive diagnosis models (CDMs) are a family of discrete latent attribute models that serve as statistical basis in educational and psychological cognitive diagnosis assessments. CDMs aim to achieve fine-grained inference on individuals'…

Methodology · Statistics 2022-08-08 Zhuoran Shang , Elena A. Erosheva , Gongjun Xu

Multilevel or hierarchical data structures can occur in many areas of research, including economics, psychology, sociology, agriculture, medicine, and public health. Over the last 25 years, there has been increasing interest in developing…

Methodology · Statistics 2018-01-08 Bernet S. Kato , Carel F. W. Peeters

While modern machine learning models rely on increasingly large training datasets, data is often limited in privacy-sensitive domains. Generative models trained with differential privacy (DP) on sensitive data can sidestep this challenge,…

Machine Learning · Statistics 2024-01-02 Tim Dockhorn , Tianshi Cao , Arash Vahdat , Karsten Kreis

There are threefold challenges in emotion recognition. First, it is difficult to recognize human's emotional states only considering a single modality. Second, it is expensive to manually annotate the emotional data. Third, emotional data…

Signal Processing · Electrical Eng. & Systems 2018-08-08 Changde Du , Changying Du , Hao Wang , Jinpeng Li , Wei-Long Zheng , Bao-Liang Lu , Huiguang He

In this paper we propose a new class of Dynamic Mixture Models (DAMMs) being able to sequentially adapt the mixture components as well as the mixture composition using information coming from the data. The information driven nature of the…

Methodology · Statistics 2023-01-12 Leopoldo Catania

With the recent development of new geometric and angular-radial frameworks for multivariate extremes, reliably simulating from angular variables in moderate-to-high dimensions is of increasing importance. Empirical approaches have the…

Machine Learning · Statistics 2026-01-01 Jakob Benjamin Wessel , Callum J. R. Murphy-Barltrop , Emma S. Simpson

A natural Bayesian approach for mixture models with an unknown number of components is to take the usual finite mixture model with Dirichlet weights, and put a prior on the number of components---that is, to use a mixture of finite mixtures…

Methodology · Statistics 2015-02-24 Jeffrey W. Miller , Matthew T. Harrison

We propose a new method for clustering multivariate time-series data based on Dynamic Linear Models. Whereas usual time-series clustering methods obtain static membership parameters, our proposal allows each time-series to dynamically…

Applications · Statistics 2020-02-06 Victhor S. Sartório , Thaís C. O. Fonseca

Molecular property prediction constitutes a cornerstone of drug discovery and materials science, necessitating models capable of disentangling complex structure-property relationships across diverse molecular modalities. Existing approaches…

Machine Learning · Computer Science 2026-03-24 Long Xu , Junping Guo , Jianbo Zhao , Jianbo Lu , Yuzhong Peng

Community detection is the task of detecting hidden communities from observed interactions. Guaranteed community detection has so far been mostly limited to models with non-overlapping communities such as the stochastic block model. In this…

Machine Learning · Computer Science 2013-10-28 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

Generative models based on deep learning have shown significant potential in medical imaging, particularly for modality transformation and multimodal fusion in MRI-based brain imaging. This study introduces GM-LDM, a novel framework that…

Image and Video Processing · Electrical Eng. & Systems 2025-06-17 Hu Xu , Yang Jingling , Jia Sihan , Bi Yuda , Calhoun Vince

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin