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We study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real-world network, while maximizing the entropy of the ensemble. Models of this type play the…

Statistical Mechanics · Physics 2009-11-10 Juyong Park , M. E. J. Newman

Graph generation generally aims to create new graphs that closely align with a specific graph distribution. Existing works often implicitly capture this distribution through the optimization of generators, potentially overlooking the…

Machine Learning · Computer Science 2024-07-19 Song Wang , Zhen Tan , Xinyu Zhao , Tianlong Chen , Huan Liu , Jundong Li

We introduce Graph Neural Processes (GNP), inspired by the recent work in conditional and latent neural processes. A Graph Neural Process is defined as a Conditional Neural Process that operates on arbitrary graph data. It takes features of…

Machine Learning · Computer Science 2019-10-03 Andrew Carr , David Wingate

We propose a novel graph-driven generative model, that unifies multiple heterogeneous learning tasks into the same framework. The proposed model is based on the fact that heterogeneous learning tasks, which correspond to different…

Machine Learning · Computer Science 2019-11-21 Wenlin Wang , Hongteng Xu , Zhe Gan , Bai Li , Guoyin Wang , Liqun Chen , Qian Yang , Wenqi Wang , Lawrence Carin

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

In a complex disease such as tuberculosis, the evidence for the disease and its evolution may be present in multiple modalities such as clinical, genomic, or imaging data. Effective patient-tailored outcome prediction and therapeutic…

We explore the usage of meta-learning to derive the causal direction between variables by optimizing over a measure of distribution simplicity. We incorporate a stochastic graph representation which includes latent variables and allows for…

Machine Learning · Computer Science 2021-06-11 Justin Wong , Dominik Damjakob

Multimodal brain networks characterize complex connectivities among different brain regions from both structural and functional aspects and provide a new means for mental disease analysis. Recently, Graph Neural Networks (GNNs) have become…

Neurons and Cognition · Quantitative Biology 2022-05-25 Yanqiao Zhu , Hejie Cui , Lifang He , Lichao Sun , Carl Yang

This paper revisits the classical concept of network modularity and its spectral relaxations used throughout graph data analysis. We formulate and study several modularity statistic variants for which we establish asymptotic distributional…

Methodology · Statistics 2024-02-26 Anirban Mitra , Konasale Prasad , Joshua Cape

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

Structure aware graph generation aims to generate graphs that satisfy given topological properties. It has applications in domains such as drug discovery, social network modeling, and knowledge graph construction. Unlike existing methods…

Artificial Intelligence · Computer Science 2026-05-05 Nidhi Vakil , Hadi Amiri

We address the challenge of inferring causal effects in social network data. This results in challenges due to interference -- where a unit's outcome is affected by neighbors' treatments -- and network-induced confounding factors. While…

Machine Learning · Computer Science 2026-02-20 Seyedeh Baharan Khatami , Harsh Parikh , Haowei Chen , Sudeepa Roy , Babak Salimi

In the past few years, deep generative models, such as generative adversarial networks \autocite{GAN}, variational autoencoders \autocite{vaepaper}, and their variants, have seen wide adoption for the task of modelling complex data…

Machine Learning · Statistics 2020-09-02 Guilherme G. P. Freitas Pires , Mário A. T. Figueiredo

We provide a novel family of generative block-models for random graphs that naturally incorporates degree distributions: the block-constrained configuration model. Block-constrained configuration models build on the generalised…

Physics and Society · Physics 2021-02-24 Giona Casiraghi

We consider the problem of estimating the parameters in a pairwise graphical model in which the distribution of each node, conditioned on the others, may have a different parametric form. In particular, we assume that each node's…

Methodology · Statistics 2014-08-05 Shizhe Chen , Daniela Witten , Ali Shojaie

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

Machine Learning · Computer Science 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

We study the temporal reconstruction of epidemics evolving over networks. Given partial or aggregated temporal information of the epidemic, our goal is to estimate the complete evolution of the spread leveraging the topology of the network…

Signal Processing · Electrical Eng. & Systems 2020-11-20 Gojko Cutura , Boning Li , Ananthram Swami , Santiago Segarra

The vast majority of the neural network literature focuses on predicting point values for a given set of response variables, conditioned on a feature vector. In many cases we need to model the full joint conditional distribution over the…

Machine Learning · Statistics 2016-06-09 Wesley Tansey , Karl Pichotta , James G. Scott

Graph inference methods have recently attracted a great interest from the scientific community, due to the large value they bring in data interpretation and analysis. However, most of the available state-of-the-art methods focus on…

Machine Learning · Computer Science 2019-01-25 Hermina Petric Maretic , Mireille El Gheche , Pascal Frossard