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The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables…

Machine Learning · Statistics 2022-11-18 Yunxiao Chen , Xiaoou Li

Relational data are ubiquitous in real-world data applications, e.g., in social network analysis or biological modeling, but networks are nearly always incompletely observed. The state-of-the-art for predicting missing links in the hard…

Machine Learning · Computer Science 2025-08-13 Bisman Singh , Lucy Van Kleunen , Aaron Clauset

Factor models are widely applied to the analysis of multivariate data across disparate fields of research. However, modern scientific data are often incomplete, and estimating a factor model from partially observed data can be very…

Methodology · Statistics 2026-02-24 Giuseppe Vinci

Across many domains, real-world problems can be represented as a network. Nodes represent domain-specific elements and edges capture the relationship between elements. Leveraging high-performance computing and optimized link prediction…

Machine Learning · Computer Science 2022-10-24 Kevin Dick , Daniel G. Kyrollos , James R. Green

Inferring missing links in knowledge graphs (KG) has attracted a lot of attention from the research community. In this paper, we tackle a practical query answering task involving predicting the relation of a given entity pair. We frame this…

Artificial Intelligence · Computer Science 2018-10-24 Wenhu Chen , Wenhan Xiong , Xifeng Yan , William Wang

Link prediction is central to unraveling social network evolution and node relationships, as well as understanding the characteristic mechanisms of complex networks. Currently, research on link prediction for complex dynamic networks…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Gaoxin Zhang , Ruixing Ren , Junhui Zhao , Xiaoke Sun

Bottom-Up Hidden Tree Markov Model is a highly expressive model for tree-structured data. Unfortunately, it cannot be used in practice due to the intractable size of its state-transition matrix. We propose a new approximation which lies on…

Machine Learning · Computer Science 2019-06-03 Daniele Castellana , Davide Bacciu

Understanding the structures why links are formed is an important and prominent research topic. In this paper, we therefore consider the link prediction problem in face-to-face contact networks, and analyze the predictability of new and…

Social and Information Networks · Computer Science 2014-07-09 Christoph Scholz , Martin Atzmueller , Gerd Stumme

Link prediction in collaboration networks is often solved by identifying structural properties of existing nodes that are disconnected at one point in time, and that share a link later on. The maximally possible recall rate or upper bound…

Social and Information Networks · Computer Science 2021-02-08 Jinseok Kim , Jana Diesner

Tensor classification is gaining importance across fields, yet handling partially observed data remains challenging. In this paper, we introduce a novel approach to tensor classification with incomplete data, framed within high-dimensional…

Machine Learning · Statistics 2024-11-01 Elynn Chen , Yuefeng Han , Jiayu Li

Gaussian process models are flexible, Bayesian non-parametric approaches to regression. Properties of multivariate Gaussians mean that they can be combined linearly in the manner of additive models and via a link function (like in…

Machine Learning · Statistics 2016-04-19 Alan D. Saul , James Hensman , Aki Vehtari , Neil D. Lawrence

Link prediction is a popular research area with important applications in a variety of disciplines, including biology, social science, security, and medicine. The fundamental requirement of link prediction is the accurate and effective…

Information Retrieval · Computer Science 2015-05-18 Yang Yang , Ryan N. Lichtenwalter , Nitesh V. Chawla

Dynamic link prediction is an important problem considered in many recent works that propose approaches for learning temporal edge patterns. To assess their efficacy, models are evaluated on continuous-time and discrete-time temporal graph…

Machine Learning · Computer Science 2026-02-06 Moritz Lampert , Christopher Blöcker , Ingo Scholtes

We consider the problem of predicting the covariance of a zero mean Gaussian vector, based on another feature vector. We describe a covariance predictor that has the form of a generalized linear model, i.e., an affine function of the…

Machine Learning · Statistics 2021-02-01 Shane Barratt , Stephen Boyd

The problem of link prediction is of active interest. The main approach to solving the link prediction problem is based on heuristics such as Common Neighbors (CN) -- more number of common neighbors of a pair of nodes implies a higher…

Machine Learning · Computer Science 2021-11-02 Govind Sharma , Aditya Challa , Paarth Gupta , M. Narasimha Murty

Tensor factorization arises in many machine learning applications, such knowledge base modeling and parameter estimation in latent variable models. However, numerical methods for tensor factorization have not reached the level of maturity…

Machine Learning · Computer Science 2015-05-20 Volodymyr Kuleshov , Arun Tejasvi Chaganty , Percy Liang

Multiplex networks allow us to study a variety of complex systems where nodes connect to each other in multiple ways, for example friend, family, and co-worker relations in social networks. Link prediction is the branch of network analysis…

Social and Information Networks · Computer Science 2022-11-23 Michele Coscia , Christian Borgelt , Michael Szell

Link prediction is a key problem for network-structured data, attracting considerable research efforts owing to its diverse applications. The current link prediction methods focus on general networks and are overly dependent on either the…

Social and Information Networks · Computer Science 2024-01-17 Min Zhou , Bisheng Li , Menglin Yang , Lujia Pan

We consider the link prediction problem in a partially observed network, where the objective is to make predictions in the unobserved portion of the network. Many existing methods reduce link prediction to binary classification problem.…

Machine Learning · Statistics 2016-02-23 Bopeng Li , Sougata Chaudhuri , Ambuj Tewari
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