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Exponential random graph models (ERGMs), also known as p* models, have been utilized extensively in the social science literature to study complex networks and how their global structure depends on underlying structural components. However,…

Applications · Statistics 2015-05-19 Sean L. Simpson , Satoru Hayasaka , Paul J. Laurienti

Heterogeneous graph neural networks (GNNs) achieve strong performance on node classification tasks in a semi-supervised learning setting. However, as in the simpler homogeneous GNN case, message-passing-based heterogeneous GNNs may struggle…

Machine Learning · Computer Science 2022-10-24 Hongjoon Ahn , Yongyi Yang , Quan Gan , Taesup Moon , David Wipf

Exponential random graph models, or ERGMs, are a flexible and general class of models for modeling dependent data. While the early literature has shown them to be powerful in capturing many network features of interest, recent work…

Methodology · Statistics 2022-01-10 Vishesh Karwa , Sonja Petrović , Denis Bajić

Graph anomaly detection (GAD) is crucial in applications like fraud detection and cybersecurity. Despite recent advancements using graph neural networks (GNNs), two major challenges persist. At the model level, most methods adopt a…

Machine Learning · Computer Science 2026-02-06 Chunyu Wei , Siyuan He , Yu Wang , Yueguo Chen , Yunhai Wang , Bing Bai , Yidong Zhang , Yong Xie , Shunming Zhang , Fei Wang

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

Deep graph generative modeling has proven capable of learning the distribution of complex, multi-scale structures characterizing real-world graphs. However, one of the main limitations of existing methods is their large output space, which…

Machine Learning · Computer Science 2023-06-01 Nathaniel Diamant , Alex M. Tseng , Kangway V. Chuang , Tommaso Biancalani , Gabriele Scalia

Exponential-family Random Graph Models (ERGMs) constitute a large statistical framework for modeling sparse and dense random graphs, short- and long-tailed degree distributions, covariates, and a wide range of complex dependencies. Special…

Methodology · Statistics 2021-05-21 Michael Schweinberger , Pavel N. Krivitsky , Carter T. Butts , Jonathan Stewart

Multi-attribute classification generalizes classification, presenting new challenges for making accurate predictions and quantifying uncertainty. We build upon recent work and show that architectures for multi-attribute prediction can be…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Jacob Kelly , Richard Zemel , Will Grathwohl

The complete phase diagram of Random Energy Model (REM) is obtained for complex temperatures using the method proposed by Derrida. We find the density of zeroes for statistical sum. Then the method is applied to Generalized Random Energy…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. B. Saakian

Deep generative models for graph-structured data offer a new angle on the problem of chemical synthesis: by optimizing differentiable models that directly generate molecular graphs, it is possible to side-step expensive search procedures in…

Machine Learning · Statistics 2022-09-28 Nicola De Cao , Thomas Kipf

Power distribution networks are increasingly hosting controllable and flexible distributed energy resources (DERs) that, when aggregated, can provide ancillary support to transmission systems. However, existing aggregation schemes often…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Hyeongon Park , Daniel K. Molzahn , Rahul K. Gupta

Reinforcement learning fine-tuning has proven effective for steering generative diffusion models toward desired properties in image and molecular domains. Graph diffusion models have similarly been applied to combinatorial structure…

Machine Learning · Computer Science 2026-04-01 Aleksei Liuliakov , Luca Hermes , Barbara Hammer

Graphs are important data representations for describing objects and their relationships, which appear in a wide diversity of real-world scenarios. As one of a critical problem in this area, graph generation considers learning the…

Machine Learning · Computer Science 2022-10-06 Xiaojie Guo , Liang Zhao

We introduce Graph Memory (GM), a structured non-parametric framework that represents an embedding space through a compact graph of reliability-annotated prototype regions. GM encodes local geometry and regional ambiguity through prototype…

Machine Learning · Computer Science 2026-03-27 Artur A. Oliveira , Mateus Espadoto , Roberto M. Cesar , Roberto Hirata

Line matching plays an essential role in structure from motion (SFM) and simultaneous localization and mapping (SLAM), especially in low-textured and repetitive scenes. In this paper, we present a new method of using a graph convolution…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 QuanMeng Ma , Guang Jiang , DianZhi Lai

Graph representation learning is a fundamental problem for modeling relational data and benefits a number of downstream applications. Traditional Bayesian-based graph models and recent deep learning based GNN either suffer from…

Machine Learning · Computer Science 2024-03-27 Hanxuan Yang , Qingchao Kong , Wenji Mao

Neural language models can be successfully trained on source code, leading to applications such as code completion. However, their versatile autoregressive self-supervision objective overlooks important global sequence-level features that…

Machine Learning · Computer Science 2021-06-10 Tomasz Korbak , Hady Elsahar , Marc Dymetman , Germán Kruszewski

Graph Neural Networks (GNNs) learn from graph-structured data by passing local messages between neighboring nodes along edges on certain topological layouts. Typically, these topological layouts in modern GNNs are deterministically computed…

Machine Learning · Computer Science 2024-02-27 Xinjian Zhao , Chaolong Ying , Tianshu Yu

This paper considers a joint multi-graph inference and clustering problem for simultaneous inference of node centrality and association of graph signals with their graphs. We study a mixture model of filtered low pass graph signals with…

Machine Learning · Statistics 2023-02-15 Yiran He , Hoi-To Wai

Partial graph matching extends traditional graph matching by allowing some nodes to remain unmatched, enabling applications in more complex scenarios. However, this flexibility introduces additional complexity, as both the subset of nodes…

Machine Learning · Computer Science 2026-02-26 Gathika Ratnayaka , James Nichols , Qing Wang
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