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The exponential growth of data has intensified the gap between the availability of unlabeled data and the high cost of manual annotation. Graph Neural Networks (GNNs) have emerged as a promising solution, as they exploit relational…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Rafael Mendonça Duarte , Jean Roberto Ponciano , Lucas Pascotti Valem

We introduce Graphical TREX (GTREX), a novel method for graph estimation in high-dimensional Gaussian graphical models. By conducting neighborhood selection with TREX, GTREX avoids tuning parameters and is adaptive to the graph topology. We…

Machine Learning · Statistics 2014-10-28 Johannes Lederer , Christian Müller

This paper proposes a new algorithm for an automatic variable selection procedure in High Dimensional Graphical Models. The algorithm selects the relevant variables for the node of interest on the basis of mutual information. Several…

Machine Learning · Statistics 2022-12-07 Luigi Riso , Maria G. Zoia , Consuelo R. Nava

We introduce a general framework for testing goodness-of-fit for Gaussian graphical models in both the low- and high-dimensional settings. This framework is based on a novel algorithm for generating exchangeable copies by conditioning on…

Methodology · Statistics 2025-01-07 Xiaotong Lin , Weihao Li , Fangqiao Tian , Dongming Huang

The problem of graphical model selection is to correctly estimate the graph structure of a Markov random field given samples from the underlying distribution. We analyze the information-theoretic limitations of the problem of graph…

Information Theory · Computer Science 2009-05-19 Narayana Santhanam , Martin J. Wainwright

Model selection is crucial to high-dimensional learning and inference for contemporary big data applications in pinpointing the best set of covariates among a sequence of candidate interpretable models. Most existing work assumes implicitly…

Methodology · Statistics 2018-03-21 Emre Demirkaya , Yang Feng , Pallavi Basu , Jinchi Lv

In a Gaussian graphical model, the conditional independence between two variables are characterized by the corresponding zero entries in the inverse covariance matrix. Maximum likelihood method using the smoothly clipped absolute deviation…

Methodology · Statistics 2009-09-07 Xin Gao , Daniel Q. Pu , Yuehua Wu , Hong Xu

Sufficient supervised information is crucial for any machine learning models to boost performance. However, labeling data is expensive and sometimes difficult to obtain. Active learning is an approach to acquire annotations for data from a…

Machine Learning · Computer Science 2019-06-18 Quan Kong , Bin Tong , Martin Klinkigt , Yuki Watanabe , Naoto Akira , Tomokazu Murakami

Graph similarity computation (GSC) is to calculate the similarity between one pair of graphs, which is a fundamental problem with fruitful applications in the graph community. In GSC, graph edit distance (GED) and maximum common subgraph…

Machine Learning · Computer Science 2024-12-16 Haoran Zheng , Jieming Shi , Renchi Yang

In model selection literature, two classes of criteria perform well asymptotically in different situations: Bayesian information criterion (BIC) (as a representative) is consistent in selection when the true model is finite dimensional…

Statistics Theory · Mathematics 2012-02-03 Wei Liu , Yuhong Yang

Financial institutions obtain enormous amounts of data about user transactions and money transfers, which can be considered as a large graph dynamically changing in time. In this work, we focus on the task of predicting new interactions in…

Machine Learning · Statistics 2020-01-24 Valentina Shumovskaia , Kirill Fedyanin , Ivan Sukharev , Dmitry Berestnev , Maxim Panov

We consider the high-dimensional discriminant analysis problem. For this problem, different methods have been proposed and justified by establishing exact convergence rates for the classification risk, as well as the l2 convergence results…

Machine Learning · Statistics 2013-06-28 Mladen Kolar , Han Liu

Despite remarkable success in diverse web-based applications, Graph Neural Networks(GNNs) inherit and further exacerbate historical discrimination and social stereotypes, which critically hinder their deployments in high-stake domains such…

Machine Learning · Computer Science 2025-01-28 Ying Song , Balaji Palanisamy

This paper presents a novel method for structural data recognition using a large number of graph models. In general, prevalent methods for structural data recognition have two shortcomings: 1) Only a single model is used to capture…

Machine Learning · Computer Science 2020-04-15 Tomo Miyazaki , Shinichiro Omachi

We propose to bridge the gap between semi-supervised and unsupervised image recognition with a flexible method that performs well for both generalized category discovery (GCD) and image clustering. Despite the overlap in motivation between…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Gihan Jayatilaka , Abhinav Shrivastava , Matthew Gwilliam

Unmeasured covariates constitute one of the important problems in causal inference. Even if there are some unmeasured covariates, some instrumental variable methods such as a two-stage residual inclusion (2SRI) estimator, or a…

Methodology · Statistics 2021-12-30 Shunichiro Orihara

Recently, neural models for information retrieval are becoming increasingly popular. They provide effective approaches for product search due to their competitive advantages in semantic matching. However, it is challenging to use…

Information Retrieval · Computer Science 2019-01-25 Yuan Zhang , Dong Wang , Yan Zhang

Modern data often arises with multiple modalities. For example, covariates and a network are observed on the same subjects, and both contain useful information. Effectively integrating these modalities is important and challenging,…

Methodology · Statistics 2025-11-25 Tao Shen , Wanjie Wang

Unsupervised (or self-supervised) graph representation learning is essential to facilitate various graph data mining tasks when external supervision is unavailable. The challenge is to encode the information about the graph structure and…

Machine Learning · Computer Science 2020-09-16 Costas Mavromatis , George Karypis

Decoding complex relationships among large numbers of variables with relatively few observations is one of the crucial issues in science. One approach to this problem is Gaussian graphical modeling, which describes conditional independence…

Methodology · Statistics 2019-04-26 A. Mohammadi , E. C. Wit
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