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We introduce a new nonlinear model for classification, in which we model the joint distribution of response variable, y, and covariates, x, non-parametrically using Dirichlet process mixtures. We keep the relationship between y and x linear…

统计理论 · 数学 2007-05-23 Babak Shahbaba , Radford M. Neal

In this work, we propose a Bayesian statistical model to simultaneously characterize two or more social networks defined over a common set of actors. The key feature of the model is a hierarchical prior distribution that allows us to…

社会与信息网络 · 计算机科学 2021-02-22 Juan Sosa , Brenda Betancourt

Mixture models are often used to identify meaningful subpopulations (i.e., clusters) in observed data such that the subpopulations have a real-world interpretation (e.g., as cell types). However, when used for subpopulation discovery,…

统计方法学 · 统计学 2024-03-04 Jiawei Li , Jonathan H. Huggins

Understanding both global and layer-specific group structures is useful for uncovering complex patterns in networks with multiple interaction types. In this work, we introduce a new model, the hierarchical multiplex stochastic blockmodel…

Latent space models are popular for analyzing dynamic network data. We propose a variational approach to estimate the model parameters as well as the latent positions of the nodes in the network. The variational approach is much faster than…

统计方法学 · 统计学 2021-06-01 Yan Liu , Yuguo Chen

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

Continuous-time event data are common in applications such as individual behavior data, financial transactions, and medical health records. Modeling such data can be very challenging, in particular for applications with many different types…

机器学习 · 统计学 2020-11-09 Alex Boyd , Robert Bamler , Stephan Mandt , Padhraic Smyth

Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

应用统计 · 统计学 2020-03-24 Subhadeep Paul , Yuguo Chen

Biclustering is used for simultaneous clustering of the observations and variables when there is no group structure known \textit{a priori}. It is being increasingly used in bioinformatics, text analytics, etc. Previously, biclustering has…

统计方法学 · 统计学 2020-09-14 Wangshu Tu , Sanjeena Subedi

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

机器学习 · 计算机科学 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki

We propose a general framework for modelling network data that is designed to describe aspects of non-exchangeable networks. Conditional on latent (unobserved) variables, the edges of the network are generated by their finite growth history…

统计理论 · 数学 2020-07-29 Weichi Wu , Sofia Olhede , Patrick Wolfe

We provide the first information theoretic tight analysis for inference of latent community structure given a sparse graph along with high dimensional node covariates, correlated with the same latent communities. Our work bridges recent…

社会与信息网络 · 计算机科学 2018-07-26 Yash Deshpande , Andrea Montanari , Elchanan Mossel , Subhabrata Sen

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…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

The restricted Boltzmann machine is a network of stochastic units with undirected interactions between pairs of visible and hidden units. This model was popularized as a building block of deep learning architectures and has continued to…

机器学习 · 计算机科学 2018-06-20 Guido Montufar

Communication networks such as emails or social networks are now ubiquitous and their analysis has become a strategic field. In many applications, the goal is to automatically extract relevant information by looking at the nodes and their…

社会与信息网络 · 计算机科学 2023-07-26 Rémi Boutin , Charles Bouveyron , Pierre Latouche

With ever-increasing available data, predicting individuals' preferences and helping them locate the most relevant information has become a pressing need. Understanding and predicting preferences is also important from a fundamental point…

物理与社会 · 物理学 2012-10-05 Roger Guimera , Alejandro Llorente , Esteban Moro , Marta Sales-Pardo

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…

机器学习 · 统计学 2025-06-02 Stas Syrota , Yevgen Zainchkovskyy , Johnny Xi , Benjamin Bloem-Reddy , Søren Hauberg

Multi-output Gaussian processes (MOGPs) have been introduced to deal with multiple tasks by exploiting the correlations between different outputs. Generally, MOGPs models assume a flat correlation structure between the outputs. However,…

机器学习 · 计算机科学 2023-09-01 Chunchao Ma , Arthur Leroy , Mauricio Alvarez

Mixture models are widely used to fit complex and multimodal datasets. In this paper we study mixtures with high dimensional sparse latent parameter vectors and consider the problem of support recovery of those vectors. While parameter…

机器学习 · 计算机科学 2022-09-13 Arya Mazumdar , Soumyabrata Pal

Background: Coevolution within a protein family is often predicted using statistics that measure the degree of covariation between positions in the protein sequence. Mutual Information is a measure of dependence between two random variables…

种群与进化 · 定量生物学 2013-04-17 Russell J. Dickson , Gregory B. Gloor