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We describe SynGraphy, a method for visually summarising the structure of large network datasets that works by drawing smaller graphs generated to have similar structural properties to the input graphs. Visualising complex networks is…

Social and Information Networks · Computer Science 2023-02-16 Jérôme Kunegis , Pawan Kumar , Jun Sun , Anna Samoilenko , Giuseppe Pirró

Many material response functions depend strongly on microstructure, such as inhomogeneities in phase or orientation. Homogenization presents the task of predicting the mean response of a sample of the microstructure to external loading for…

Machine Learning · Computer Science 2022-10-04 Reese Jones , Cosmin Safta , Ari Frankel

Abstraction is essential for reducing the complexity of systems across diverse fields, yet designing effective abstraction methodology for probabilistic models is inherently challenging due to stochastic behaviors and uncertainties. Current…

Artificial Intelligence · Computer Science 2025-03-03 Nijesh Upreti , Vaishak Belle

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

Machine Learning · Computer Science 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Many NLP applications can be framed as a graph-to-sequence learning problem. Previous work proposing neural architectures on this setting obtained promising results compared to grammar-based approaches but still rely on linearisation…

Computation and Language · Computer Science 2018-06-27 Daniel Beck , Gholamreza Haffari , Trevor Cohn

This work develops a flexible and mathematically sound framework for the design and analysis of graph scattering networks with variable branching ratios and generic functional calculus filters. Spectrally-agnostic stability guarantees for…

Machine Learning · Computer Science 2023-01-30 Christian Koke , Gitta Kutyniok

We present algorithms and experiments for the visualization of directed graphs that focus on displaying their reachability information. Our algorithms are based on the concepts of the path and channel decomposition as proposed in the…

Data Structures and Algorithms · Computer Science 2019-07-29 Panagiotis Lionakis , Giacomo Ortali , Ioannis G. Tollis

(Hyper)Graph decomposition is a family of problems that aim to break down large (hyper)graphs into smaller sub(hyper)graphs for easier analysis. The importance of this lies in its ability to enable efficient computation on large and complex…

Data Structures and Algorithms · Computer Science 2023-08-31 Marcelo Fonseca Faraj

The topological (or graph) structures of real-world networks are known to be predictive of multiple dynamic properties of the networks. Conventionally, a graph structure is represented using an adjacency matrix or a set of hand-crafted…

Social and Information Networks · Computer Science 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei

Graph-based methods are known to be successful in many machine learning and pattern classification tasks. These methods consider semi-structured data as graphs where nodes correspond to primitives (parts, interest points, segments, etc.)…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Anjan Dutta , Hichem Sahbi

This paper introduces the notion of involution module, the first generalization of the modular decomposition of 2-structure which has a unique linear-sized decomposition tree. We derive an O(n^2) decomposition algorithm and we take…

Discrete Mathematics · Computer Science 2013-10-04 Vincent Cohen-Addad , Michel Habib , Fabien de Montgolfier

Graph Neural Networks (GNNs) rely on graph convolutions to exploit meaningful patterns in networked data. Based on matrix multiplications, convolutions incur in high computational costs leading to scalability limitations in practice. To…

Machine Learning · Computer Science 2022-10-28 Juan Cervino , Luana Ruiz , Alejandro Ribeiro

Deep convolutional networks (CNNs) have exhibited their potential in image inpainting for producing plausible results. However, in most existing methods, e.g., context encoder, the missing parts are predicted by propagating the surrounding…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Zhaoyi Yan , Xiaoming Li , Mu Li , Wangmeng Zuo , Shiguang Shan

Graph, as an important data representation, is ubiquitous in many real world applications ranging from social network analysis to biology. How to correctly and effectively learn and extract information from graph is essential for a large…

Machine Learning · Computer Science 2020-10-27 Xiaodong Jiang , Ronghang Zhu , Pengsheng Ji , Sheng Li

Deep learning models have gained great success in many real-world applications. However, most existing networks are typically designed in heuristic manners, thus lack of rigorous mathematical principles and derivations. Several recent…

Computer Vision and Pattern Recognition · Computer Science 2017-12-18 Risheng Liu , Xin Fan , Shichao Cheng , Xiangyu Wang , Zhongxuan Luo

Graph Auto-Encoders (GAEs) are powerful tools for graph representation learning. In this paper, we develop a novel Hierarchical Cluster-based GAE (HC-GAE), that can learn effective structural characteristics for graph data analysis. To this…

Machine Learning · Computer Science 2024-05-24 Zhuo Xu , Lu Bai , Lixin Cui , Ming Li , Yue Wang , Edwin R. Hancock

Model compression is an essential technique for deploying deep neural networks (DNNs) on power and memory-constrained resources. However, existing model-compression methods often rely on human expertise and focus on parameters' local…

Computer Vision and Pattern Recognition · Computer Science 2022-07-04 Sixing Yu , Arya Mazaheri , Ali Jannesari

We propose a general multi-class visual recognition model, termed the Classifier Graph, which aims to generalize and integrate ideas from many of today's successful hierarchical recognition approaches. Our graph-based model has the…

Computer Vision and Pattern Recognition · Computer Science 2014-04-11 Marius Leordeanu , Rahul Sukthankar

Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

Deep reinforcement learning yields great results for a large array of problems, but models are generally retrained anew for each new problem to be solved. Prior learning and knowledge are difficult to incorporate when training new models,…

Artificial Intelligence · Computer Science 2017-09-21 Aditya Gudimella , Ross Story , Matineh Shaker , Ruofan Kong , Matthew Brown , Victor Shnayder , Marcos Campos