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It is known that context-free grammars can be extended to generating graphs resulting in graph grammars; one of such fundamental approaches is hyperedge replacement grammars. On the other hand there are type-logical grammars which also…

Logic · Mathematics 2020-10-23 Tikhon Pshenitsyn

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

Graph sparsification is a powerful tool to approximate an arbitrary graph and has been used in machine learning over homogeneous graphs. In heterogeneous graphs such as knowledge graphs, however, sparsification has not been systematically…

Machine Learning · Computer Science 2022-11-15 Chandan Chunduru , Chun Jiang Zhu , Blake Gains , Jinbo Bi

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

Generative models for graphs have been typically committed to strong prior assumptions concerning the form of the modeled distributions. Moreover, the vast majority of currently available models are either only suitable for characterizing…

Social and Information Networks · Computer Science 2012-10-19 Antonino Freno , Mikaela Keller , Gemma C. Garriga , Marc Tommasi

Generative models for source code are an interesting structured prediction problem, requiring to reason about both hard syntactic and semantic constraints as well as about natural, likely programs. We present a novel model for this problem…

Machine Learning · Computer Science 2019-04-18 Marc Brockschmidt , Miltiadis Allamanis , Alexander L. Gaunt , Oleksandr Polozov

Graph Neural Networks (GNNs) often suffer from weak-generalization due to sparsely labeled data despite their promising results on various graph-based tasks. Data augmentation is a prevalent remedy to improve the generalization ability of…

Machine Learning · Computer Science 2022-03-29 Hyeonjin Park , Seunghun Lee , Sihyeon Kim , Jinyoung Park , Jisu Jeong , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

In this paper, the flexibility, versatility and predictive power of kernel regression are combined with now lavishly available network data to create regression models with even greater predictive performances. Building from previous work…

Machine Learning · Statistics 2020-11-05 E. Pei , E. Fokoué

Powerful generative models, particularly in Natural Language Modelling, are commonly trained by maximizing a variational lower bound on the data log likelihood. These models often suffer from poor use of their latent variable, with ad-hoc…

Machine Learning · Statistics 2018-06-13 Alex Mansbridge , Roberto Fierimonte , Ilya Feige , David Barber

Graphs are an essential data structure utilized to represent relationships in real-world scenarios. Prior research has established that Graph Neural Networks (GNNs) deliver impressive outcomes in graph-centric tasks, such as link prediction…

Machine Learning · Computer Science 2024-09-12 Xubin Ren , Jiabin Tang , Dawei Yin , Nitesh Chawla , Chao Huang

Large graphs are present in a variety of domains, including social networks, civil infrastructure, and the physical sciences to name a few. Graph generation is similarly widespread, with applications in drug discovery, network analysis and…

Machine Learning · Computer Science 2023-11-08 Alex O. Davies , Nirav S. Ajmeri , Telmo M. Silva Filho

Continual graph learning (CGL) studies the problem of learning from an infinite stream of graph data, consolidating historical knowledge, and generalizing it to the future task. At once, only current graph data are available. Although some…

Machine Learning · Computer Science 2023-08-17 Qinghua Shen , Weijieying Ren , Wei Qin

Pre-trained sequence-to-sequence language models have led to widespread success in many natural language generation tasks. However, there has been relatively less work on analyzing their ability to generate structured outputs such as…

Computation and Language · Computer Science 2022-04-12 Swarnadeep Saha , Prateek Yadav , Mohit Bansal

Dominant sentence ordering models can be classified into pairwise ordering models and set-to-sequence models. However, there is little attempt to combine these two types of models, which inituitively possess complementary advantages. In…

Computation and Language · Computer Science 2021-10-14 Shaopeng Lai , Ante Wang , Fandong Meng , Jie Zhou , Yubin Ge , Jiali Zeng , Junfeng Yao , Degen Huang , Jinsong Su

An enormous amount of real-world data exists in the form of graphs. Oftentimes, interesting patterns that describe the complex dynamics of these graphs are captured in the form of frequently reoccurring substructures. Recent work at the…

Social and Information Networks · Computer Science 2023-01-06 Justus Hibshman , Satyaki Sikdar , Tim Weninger

In this paper, we propose Latent Relation Language Models (LRLMs), a class of language models that parameterizes the joint distribution over the words in a document and the entities that occur therein via knowledge graph relations. This…

Computation and Language · Computer Science 2019-08-22 Hiroaki Hayashi , Zecong Hu , Chenyan Xiong , Graham Neubig

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Message-passing graph neural networks (MPNNs) emerged as powerful tools for processing graph-structured input. However, they operate on a fixed input graph structure, ignoring potential noise and missing information. Furthermore, their…

Machine Learning · Computer Science 2024-03-27 Chendi Qian , Andrei Manolache , Kareem Ahmed , Zhe Zeng , Guy Van den Broeck , Mathias Niepert , Christopher Morris

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

Machine Learning · Statistics 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Probabilistic graphical modeling (PGM) provides a framework for formulating an interpretable generative process of data and expressing uncertainty about unknowns, but it lacks flexibility. Deep learning (DL) is an alternative framework for…

Machine Learning · Statistics 2021-04-27 Adji B. Dieng
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