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In data analysis, latent variables play a central role because they help provide powerful insights into a wide variety of phenomena, ranging from biological to human sciences. The latent tree model, a particular type of probabilistic…

机器学习 · 计算机科学 2014-02-05 Raphaël Mourad , Christine Sinoquet , Nevin L. Zhang , Tengfei Liu , Philippe Leray

Recent work has shown promising results in causal discovery by leveraging interventional data with gradient-based methods, even when the intervened variables are unknown. However, previous work assumes that the correspondence between…

机器学习 · 计算机科学 2022-07-12 Gonçalo R. A. Faria , André F. T. Martins , Mário A. T. Figueiredo

Not all nodes in a network are created equal. Differences and similarities exist at both individual node and group levels. Disentangling single node from group properties is crucial for network modeling and structural inference. Based on…

统计力学 · 物理学 2015-05-20 Joerg Reichardt , Roberto Alamino , David Saad

Complex systems may contain heterogeneous types of variables that interact in a multi-level and multi-scale manner. In this context, high-level layers may considered as groups of variables interacting in lower-level layers. This is…

定量方法 · 定量生物学 2018-11-28 Veronica Tozzo , Federico Tomasi , Margherita Squillario , Annalisa Barla

From social networks to Internet applications, a wide variety of electronic communication tools are producing streams of graph data; where the nodes represent users and the edges represent the contacts between them over time. This has led…

社会与信息网络 · 计算机科学 2014-03-18 Nesreen K. Ahmed , Christopher Cole , Jennifer Neville

Graph-based analyses have gained a lot of relevance in the past years due to their high potential in describing complex systems by detailing the actors involved, their relations and their behaviours. Nevertheless, in scenarios where these…

机器学习 · 计算机科学 2021-06-11 Francesco Zola , Lander Segurola , Jan Lukas Bruse , Mikel Galar Idoate

We present a probabilistic framework for overlapping community discovery and link prediction for relational data, given as a graph. The proposed framework has: (1) a deep architecture which enables us to infer multiple layers of latent…

机器学习 · 统计学 2017-06-19 Changwei Hu , Piyush Rai , Lawrence Carin

Multivariate distributions often carry latent structures that are difficult to identify and estimate, and which better reflect the data generating mechanism than extrinsic structures exhibited simply by the raw data. In this paper, we…

统计方法学 · 统计学 2025-04-16 Bryon Aragam , Ruiyi Yang

This chapter investigates the latent structure of bipartite networks via a model-based clustering approach which is able to capture both latent groups of sending nodes and latent variability of the propensity of sending nodes to create…

应用统计 · 统计学 2019-07-19 Isabella Gollini

Processes such as disease propagation and information diffusion often spread over some latent network structure which must be learned from observation. Given a set of unlabeled training examples representing occurrences of an event type of…

机器学习 · 统计学 2017-01-09 Sriram Somanchi , Daniel B. Neill

Latent variable models are frequently used to identify structure in dichotomous network data, in part because they give rise to a Bernoulli product likelihood that is both well understood and consistent with the notion of exchangeable…

统计方法学 · 统计学 2012-02-13 Edoardo M. Airoldi , David S. Choi , Patrick J. Wolfe

Graphical models provide a powerful methodology for learning the conditional independence structure in multivariate data. Inference is often focused on estimating individual edges in the latent graph. Nonetheless, there is increasing…

统计方法学 · 统计学 2023-12-15 Willem van den Boom , Maria De Iorio , Alexandros Beskos

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

统计方法学 · 统计学 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

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

We propose a method for simultaneously detecting shared and unshared communities in heterogeneous multilayer weighted and undirected networks. The multilayer network is assumed to follow a generative probabilistic model that takes into…

社会与信息网络 · 计算机科学 2019-06-25 Hafiz Tiomoko Ali , Sijia Liu , Yasin Yilmaz , Romain Couillet , Indika Rajapakse , Alfred Hero

Inferring temporal interaction graphs and higher-order structure from neural signals is a key problem in building generative models for systems neuroscience. Foundation models for large-scale neural data represent shared latent structures…

机器学习 · 计算机科学 2025-08-26 Nathan X. Kodama , Kenneth A. Loparo

We use a tensor unfolding technique to prove a new identifiability result for discrete bipartite graphical models, which have a bipartite graph between an observed and a latent layer. This model family includes popular models such as…

统计理论 · 数学 2025-01-22 Yuqi Gu

We present an integrated approach for structure and parameter estimation in latent tree graphical models. Our overall approach follows a "divide-and-conquer" strategy that learns models over small groups of variables and iteratively merges…

机器学习 · 计算机科学 2019-12-19 Furong Huang , Niranjan U. N. , Ioakeim Perros , Robert Chen , Jimeng Sun , Anima Anandkumar

Graph-based change point detection (CPD) play an irreplaceable role in discovering anomalous graphs in the time-varying network. While several techniques have been proposed to detect change points by identifying whether there is a…

社会与信息网络 · 计算机科学 2022-12-20 Yongshun Gong , Xue Dong , Jian Zhang , Meng Chen

A common goal in network modeling is to uncover the latent community structure present among nodes. For many real-world networks, the true connections consist of events arriving as streams, which are then aggregated to form edges, ignoring…

社会与信息网络 · 计算机科学 2023-10-27 Guanhua Fang , Owen G. Ward , Tian Zheng