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Graph condensation, which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has immediate benefits for various graph learning tasks. However, existing graph condensation methods rely…

机器学习 · 计算机科学 2023-10-24 Xin Zheng , Miao Zhang , Chunyang Chen , Quoc Viet Hung Nguyen , Xingquan Zhu , Shirui Pan

Graph Neural Networks (GNNs) have achieved great success on a node classification task. Despite the broad interest in developing and evaluating GNNs, they have been assessed with limited benchmark datasets. As a result, the existing…

机器学习 · 计算机科学 2022-12-29 Seiji Maekawa , Koki Noda , Yuya Sasaki , Makoto Onizuka

Recently there has been increased interest in fitting generative graph models to real-world networks. In particular, Bl\"asius et al. have proposed a framework for systematic evaluation of the expressivity of random graph models. We extend…

社会与信息网络 · 计算机科学 2024-05-14 Benjamin Dayan , Marc Kaufmann , Ulysse Schaller

Stochastic gradient descent (SGD) holds as a classical method to build large scale machine learning models over big data. A stochastic gradient is typically calculated from a limited number of samples (known as mini-batch), so it…

机器学习 · 计算机科学 2016-01-14 Yadong Mu , Wei Liu , Wei Fan

Capturing global contextual representations by exploiting long-range pixel-pixel dependencies has shown to improve semantic segmentation performance. However, how to do this efficiently is an open question as current approaches of utilising…

计算机视觉与模式识别 · 计算机科学 2021-01-05 Qinghui Liu , Michael Kampffmeyer , Robert Jenssen , Arnt-Børre Salberg

Design of filters for graph signal processing benefits from knowledge of the spectral decomposition of matrices that encode graphs, such as the adjacency matrix and the Laplacian matrix, used to define the shift operator. For shift matrices…

数值分析 · 计算机科学 2017-01-10 Stephen Kruzick , José M. F. Moura

Numerous models for supervised and reinforcement learning benefit from combinations of discrete and continuous model components. End-to-end learnable discrete-continuous models are compositional, tend to generalize better, and are more…

机器学习 · 计算机科学 2023-07-27 David Friede , Mathias Niepert

The large communication cost for exchanging gradients between different nodes significantly limits the scalability of distributed training for large-scale learning models. Motivated by this observation, there has been significant recent…

机器学习 · 计算机科学 2020-12-04 Leighton Pate Barnes , Huseyin A. Inan , Berivan Isik , Ayfer Ozgur

Traditionally, community detection in graphs can be solved using spectral methods or posterior inference under probabilistic graphical models. Focusing on random graph families such as the stochastic block model, recent research has unified…

机器学习 · 统计学 2020-08-11 Zhengdao Chen , Xiang Li , Joan Bruna

Learning distributions of graphs can be used for automatic drug discovery, molecular design, complex network analysis, and much more. We present an improved framework for learning generative models of graphs based on the idea of deep state…

机器学习 · 计算机科学 2021-12-07 Julian Stier , Michael Granitzer

Unbalanced data arises in many learning tasks such as clustering of multi-class data, hierarchical divisive clustering and semisupervised learning. Graph-based approaches are popular tools for these problems. Graph construction is an…

机器学习 · 统计学 2011-12-13 Jing Qian , Venkatesh Saligrama , Manqi Zhao

Learning a faithful directed acyclic graph (DAG) from samples of a joint distribution is a challenging combinatorial problem, owing to the intractable search space superexponential in the number of graph nodes. A recent breakthrough…

机器学习 · 计算机科学 2019-04-24 Yue Yu , Jie Chen , Tian Gao , Mo Yu

Graph Neural Networks (GNNs) are powerful machine learning models that excel at analyzing structured data represented as graphs, demonstrating remarkable performance in applications like social network analysis and recommendation systems.…

量子物理 · 物理学 2024-05-28 Yidong Liao , Xiao-Ming Zhang , Chris Ferrie

The $k$-core decomposition is a widely studied summary statistic that describes a graph's global connectivity structure. In this paper, we move beyond using $k$-core decomposition as a tool to summarize a graph and propose using $k$-core…

We propose SGS-GNN, a novel supervised graph sparsifier that learns the sampling probability distribution of edges and samples sparse subgraphs of a user-specified size to reduce the computational costs required by GNNs for inference tasks…

Graphs are ubiquitous real-world data structures, and generative models that approximate distributions over graphs and derive new samples from them have significant importance. Among the known challenges in graph generation tasks,…

机器学习 · 计算机科学 2019-10-04 Wataru Kawai , Yusuke Mukuta , Tatsuya Harada

Researchers have pursued neurosymbolic artificial intelligence (AI) applications for nearly three decades. A marriage of the neural and symbolic components can lead to rapid advancements in AI. Yet, the field has not realized this promise…

人工智能 · 计算机科学 2026-05-12 Margarita Belova , Jiaxin Xiao , Shikhar Tuli , Niraj K. Jha

How do real graphs evolve over time? What are ``normal'' growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large…

物理与社会 · 物理学 2007-05-23 Jure Leskovec , Jon Kleinberg , Christos Faloutsos

Variety of machine learning problems can be formulated as an optimization task for some (surrogate) loss function. Calculation of loss function can be viewed in terms of stochastic computation graphs (SCG). We use this formalism to analyze…

机器学习 · 计算机科学 2017-12-18 Eugene Golikov , Vlad Zhukov , Maksim Kretov

A class of models that have been widely used are the exponential random graph (ERG) models, which form a comprehensive family of models that include independent and dyadic edge models, Markov random graphs, and many other graph…

统计理论 · 数学 2022-02-07 Denise Duarte , Rafael Honório Pereira Alves