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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

The random dot product graph (RDPG) is an independent-edge random graph that is analytically tractable and, simultaneously, either encompasses or can successfully approximate a wide range of random graphs, from relatively simple stochastic…

Latent space models play an important role in the modeling and analysis of network data. Under these models, each node has an associated latent point in some (typically low-dimensional) geometric space, and network formation is driven by…

统计理论 · 数学 2023-07-06 Hao Yan , Keith Levin

Deep generative networks have been widely used for learning mappings from a low-dimensional latent space to a high-dimensional data space. In many cases, data transformations are defined by linear paths in this latent space. However, the…

机器学习 · 统计学 2019-12-06 Marissa Connor , Christopher Rozell

Random geometric graphs are random graph models defined on metric spaces. Such a model is defined by first sampling points from a metric space and then connecting each pair of sampled points with probability that depends on their distance,…

机器学习 · 计算机科学 2026-04-10 Han Huang , Pakawut Jiradilok , Elchanan Mossel

Representation learning over graph structured data has been mostly studied in static graph settings while efforts for modeling dynamic graphs are still scant. In this paper, we develop a novel hierarchical variational model that introduces…

The subject of deep learning has recently attracted users of machine learning from various disciplines, including: medical diagnosis and bioinformatics, financial market analysis and online advertisement, speech and handwriting recognition,…

机器学习 · 计算机科学 2018-03-12 Charles K. Chui , Shao-Bo Lin , Ding-Xuan Zhou

Although static networks have been extensively studied in machine learning, data mining, and AI communities for many decades, the study of dynamic networks has recently taken center stage due to the prominence of social media and its…

社会与信息网络 · 计算机科学 2020-12-21 Tony Gracious , Shubham Gupta , Arun Kanthali , Rui M. Castro , Ambedkar Dukkipati

Can we learn the differential equations governing the evolution of a temporal network? We investigate this within Random Dot Product Graphs (RDPGs), where each network snapshot is generated from latent positions evolving under unknown…

统计方法学 · 统计学 2026-03-09 Giulio Valentino Dalla Riva

Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

机器学习 · 计算机科学 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera

As more and more network-structured data sets are available, the statistical analysis of valued graphs has become common place. Looking for a latent structure is one of the many strategies used to better understand the behavior of a…

应用统计 · 统计学 2010-11-09 Mahendra Mariadassou , Stéphane Robin , Corinne Vacher

Learning low-dimensional embeddings of knowledge graphs is a powerful approach used to predict unobserved or missing edges between entities. However, an open challenge in this area is developing techniques that can go beyond simple edge…

社会与信息网络 · 计算机科学 2019-10-30 William L. Hamilton , Payal Bajaj , Marinka Zitnik , Dan Jurafsky , Jure Leskovec

Recent advances in Neural Variational Inference allowed for a renaissance in latent variable models in a variety of domains involving high-dimensional data. While traditional variational methods derive an analytical approximation for the…

The idea that data lies on a non-linear space has brought up the concept of manifold learning as a part of machine learning.

综合数学 · 数学 2022-02-08 Arif Gursoy

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

应用统计 · 统计学 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

Dynamics on and of networks refer to changes in topology and node-associated signals, respectively and are pervasive in many socio-technological systems, including social, biological, and infrastructure networks. Due to practical…

信号处理 · 电气工程与系统科学 2025-06-11 Bishwadeep Das , Andrei Buciulea , Antonio G. Marques , Elvin Isufi

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

机器学习 · 计算机科学 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

We study the problem of learning a latent tree graphical model where samples are available only from a subset of variables. We propose two consistent and computationally efficient algorithms for learning minimal latent trees, that is, trees…

机器学习 · 统计学 2010-09-15 Myung Jin Choi , Vincent Y. F. Tan , Animashree Anandkumar , Alan S. Willsky

Successful Human-Robot collaboration requires a predictive model of human behavior. The robot needs to be able to recognize current goals and actions and to predict future activities in a given context. However, the spatio-temporal sequence…

计算机视觉与模式识别 · 计算机科学 2018-09-20 Judith Bütepage , Danica Kragic

Many types of data from fields including natural language processing, computer vision, and bioinformatics, are well represented by discrete, compositional structures such as trees, sequences, or matchings. Latent structure models are a…

机器学习 · 计算机科学 2026-02-04 Vlad Niculae , Caio F. Corro , Nikita Nangia , Tsvetomila Mihaylova , André F. T. Martins