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Data-driven approaches for modeling human skeletal motion have found various applications in interactive media and social robotics. Challenges remain in these fields for generating high-fidelity samples and robustly reconstructing motion…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Wenjie Yin , Hang Yin , Danica Kragic , Mårten Björkman

We give an efficient algorithm to generate a graph from a distribution $\epsilon$-close to $G(n,p)$, in the sense of total variation distance. In particular, if $p$ is represented with $O(\log n)$-bit accuracy, then, with high probability,…

Data Structures and Algorithms · Computer Science 2012-07-13 Antonio Blanca , Milena Mihail

Assessing generative models is not an easy task. Generative models should synthesize graphs which are not replicates of real networks but show topological features similar to real graphs. We introduce an approach for assessing graph…

Machine Learning · Computer Science 2018-09-06 Vahid Mostofi , Sadegh Aliakbary

Modeling generative process of growing graphs has wide applications in social networks and recommendation systems, where cold start problem leads to new nodes isolated from existing graph. Despite the emerging literature in learning graph…

Machine Learning · Computer Science 2019-06-03 Da Xu , Chuanwei Ruan , Kamiya Motwani , Evren Korpeoglu , Sushant Kumar , Kannan Achan

The goal of graph representation learning is to embed each vertex in a graph into a low-dimensional vector space. Existing graph representation learning methods can be classified into two categories: generative models that learn the…

Machine Learning · Computer Science 2017-11-23 Hongwei Wang , Jia Wang , Jialin Wang , Miao Zhao , Weinan Zhang , Fuzheng Zhang , Xing Xie , Minyi Guo

Graph convolutional network (GCN) is a powerful model studied broadly in various graph structural data learning tasks. However, to mitigate the over-smoothing phenomenon, and deal with heterogeneous graph structural data, the design of GCN…

Machine Learning · Statistics 2024-12-12 Jia Cai , Zhilong Xiong , Shaogao Lv

Text generation from semantic graphs is traditionally performed with deterministic methods, which generate a unique description given an input graph. However, the generation problem admits a range of acceptable textual outputs, exhibiting…

Computation and Language · Computer Science 2021-08-16 Jiuzhou Han , Daniel Beck , Trevor Cohn

Generating graph structures is a challenging problem due to the diverse representations and complex dependencies among nodes. In this paper, we introduce Graph Variational Recurrent Neural Network (GraphVRNN), a probabilistic autoregressive…

Machine Learning · Computer Science 2019-10-07 Shih-Yang Su , Hossein Hajimirsadeghi , Greg Mori

Data generation is a fundamental research problem in data management due to its diverse use cases, ranging from testing database engines to data-specific applications. However, real-world entities often involve complex interactions that…

Databases · Computer Science 2024-12-13 Fan Li , Xiaoyang Wang , Dawei Cheng , Cong Chen , Ying Zhang , Xuemin Lin

Uniform sampling from graphical realizations of a given degree sequence is a fundamental component in simulation-based measurements of network observables, with applications ranging from epidemics, through social networks to Internet…

Physics and Society · Physics 2010-04-14 Charo I. Del Genio , Hyunju Kim , Zoltan Toroczkai , Kevin E. Bassler

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

Transformers have become widely used in various tasks, such as natural language processing and machine vision. This paper proposes Gransformer, an algorithm based on Transformer for generating graphs. We modify the Transformer encoder to…

Machine Learning · Computer Science 2024-06-03 Ahmad Khajenezhad , Seyed Ali Osia , Mahmood Karimian , Hamid Beigy

A wide range of models have been proposed for Graph Generative Models, necessitating effective methods to evaluate their quality. So far, most techniques use either traditional metrics based on subgraph counting, or the representations of…

Machine Learning · Statistics 2022-06-14 Hamed Shirzad , Kaveh Hassani , Danica J. Sutherland

Graph learning algorithms have attained state-of-the-art performance on many graph analysis tasks such as node classification, link prediction, and clustering. It has, however, become hard to track the field's burgeoning progress. One…

Machine Learning · Computer Science 2022-04-05 Anton Tsitsulin , Benedek Rozemberczki , John Palowitch , Bryan Perozzi

We analyze the properties of degree-preserving Markov chains based on elementary edge switchings in undirected and directed graphs. We give exact yet simple formulas for the mobility of a graph (the number of possible moves) in terms of its…

Disordered Systems and Neural Networks · Physics 2012-03-12 E. S. Roberts , A. Annibale , A. C. C. Coolen

We propose and analyse a novel statistical procedure, coined AgraSSt, to assess the quality of graph generators that may not be available in explicit form. In particular, AgraSSt can be used to determine whether a learnt graph generating…

Machine Learning · Statistics 2023-08-02 Wenkai Xu , Gesine Reinert

Graph-based computations are crucial in a wide range of applications, where graphs can scale to trillions of edges. To enable efficient training on such large graphs, mini-batch subgraph sampling is commonly used, which allows training…

Machine Learning · Computer Science 2025-04-04 Yue Jin , Yongchao Liu , Chuntao Hong

We consider the problem of generating uniformly random partitions of the vertex set of a graph such that every piece induces a connected subgraph. For the case where we want to have partitions with linearly many pieces of bounded size, we…

Probability · Mathematics 2022-06-02 Alan Frieze , Wesley Pegden

Generative models for network time series (also known as dynamic graphs) have tremendous potential in fields such as epidemiology, biology and economics, where complex graph-based dynamics are core objects of study. Designing flexible and…

Machine Learning · Statistics 2023-11-01 Jase Clarkson , Mihai Cucuringu , Andrew Elliott , Gesine Reinert

Sampling random graphs is essential in many applications, and often algorithms use Markov chain Monte Carlo methods to sample uniformly from the space of graphs. However, often there is a need to sample graphs with some property that we are…

Social and Information Networks · Computer Science 2018-10-29 Caitlin Gray , Lewis Mitchell , Matthew Roughan