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This paper describes a general framework for learning Higher-Order Network Embeddings (HONE) from graph data based on network motifs. The HONE framework is highly expressive and flexible with many interchangeable components. The…

Machine Learning · Statistics 2018-05-31 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim , Anup Rao , Yasin Abbasi Yadkori

A projective network model is a model that enables predictions to be made based on a subsample of the network data, with the predictions remaining unchanged if a larger sample is taken into consideration. An exchangeable model is a model…

Physics and Society · Physics 2018-04-13 A. P. Kartun-Giles , D. Krioukov , J. P. Gleeson , Y. Moreno , G. Bianconi

The Heuristic Ratio Estimation (HRE) approach proposes a new way of using the pairwise comparisons matrix. It allows the assumption that the weights of some alternatives (herein referred to as concepts) are known and fixed, hence the weight…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

This study investigates the robustness of graph embedding methods for community detection in the face of network perturbations, specifically edge deletions. Graph embedding techniques, which represent nodes as low-dimensional vectors, are…

Physics and Society · Physics 2025-08-05 Zhi-Feng Wei , Pablo Moriano , Ramakrishnan Kannan

After its introduction in 1982, the Hopfield model has been extensively applied for classification and pattern recognition. Recently, its great potential in gene expression patterns retrieval has also been shown. Following this line, we…

Quantitative Methods · Quantitative Biology 2019-02-07 Laura Cantini , Michele Caselle

We study models of weighted exponential random graphs in the large network limit. These models have recently been proposed to model weighted network data arising from a host of applications including socio-econometric data such as migration…

Probability · Mathematics 2018-07-12 Shankar Bhamidi , Suman Chakraborty , Skyler Cranmer , Bruce Desmarais

Off-policy Evaluation (OPE), or offline evaluation in general, evaluates the performance of hypothetical policies leveraging only offline log data. It is particularly useful in applications where the online interaction involves high stakes…

Machine Learning · Statistics 2021-09-01 Yuta Saito , Takuma Udagawa , Haruka Kiyohara , Kazuki Mogi , Yusuke Narita , Kei Tateno

We consider the problem of undirected graphical model inference. In many applications, instead of perfectly recovering the unknown graph structure, a more realistic goal is to infer some graph invariants (e.g., the maximum degree, the…

Statistics Theory · Mathematics 2017-07-31 Junwei Lu , Matey Neykov , Han Liu

The multivariate Hawkes process is a past-dependent point process used to model the relationship of event occurrences between different phenomena.Although the Hawkes process was originally introduced to describe excitation effects, which…

Methodology · Statistics 2023-06-30 Anna Bonnet , Miguel Martinez Herrera , Maxime Sangnier

Here we developed a new conceptual, stochastic Heterogeneous Opinion-Status model (HOpS model), which is adaptive network model. The HOpS model admits to identify the main attributes of dynamics on networks and to study analytically the…

Physics and Society · Physics 2017-08-08 Liubov Tupikina

Demand forecasting in competitive, uncertain business environments requires models that can integrate multiple evaluation perspectives rather than being restricted to hyperparameter optimization based on a single metric. This traditional…

Machine Learning · Computer Science 2025-12-23 Adolfo González , Víctor Parada

Learning-based methods have become increasingly popular for solving vehicle routing problems due to their near-optimal performance and fast inference speed. Among them, the combination of deep reinforcement learning and graph representation…

Machine Learning · Computer Science 2024-05-22 Zhenwei Wang , Ruibin Bai , Fazlullah Khan , Ender Ozcan , Tiehua Zhang

High-dimensional linear contextual bandit problems remain a significant challenge due to the curse of dimensionality. Existing methods typically consider either the model parameters to be sparse or the eigenvalues of context covariance…

Statistics Theory · Mathematics 2025-10-10 Rui Zhao , Zihan Chen , Zemin Zheng

Statistical inference for exponential-family models of random graphs with dependent edges is challenging. We stress the importance of additional structure and show that additional structure facilitates statistical inference. A simple…

Statistics Theory · Mathematics 2020-03-13 Michael Schweinberger , Jonathan Stewart

HIV is a retrovirus that attacks the human immune system and can lead to death without proper treatment. In collaboration with the WHO and Wits University, we study how to improve the efficiency of HIV testing with the goal of eventual…

Social and Information Networks · Computer Science 2026-01-26 Akseli Kangaslahti , Davin Choo , Lingkai Kong , Milind Tambe , Alastair van Heerden , Cheryl Johnson

A principled approach to understand network structures is to formulate generative models. Given a collection of models, however, an outstanding key task is to determine which one provides a more accurate description of the network at hand,…

Machine Learning · Statistics 2018-06-29 Toni Vallès-Català , Tiago P. Peixoto , Roger Guimerà , Marta Sales-Pardo

Exponential-family random graph models (ERGMs) provide a principled and flexible way to model and simulate features common in social networks, such as propensities for homophily, mutuality, and friend-of-a-friend triad closure, through…

Methodology · Statistics 2012-08-01 Pavel N. Krivitsky

Trust plays an essential role in an individual's decision-making. Traditional trust prediction models rely on pairwise correlations to infer potential relationships between users. However, in the real world, interactions between users are…

Social and Information Networks · Computer Science 2024-02-09 Rongwei Xu , Guanfeng Liu , Yan Wang , Xuyun Zhang , Kai Zheng , Xiaofang Zhou

The widespread application of machine learning techniques to biomedical data has produced many new insights into disease progression and improving clinical care. Inspired by the flexibility and interpretability of graphs (networks), as well…

Machine Learning · Computer Science 2023-12-27 Steven J. Krieg , Nitesh V. Chawla , Keith Feldman
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