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We present an interactive framework that, given a membership test for a graph class $\mathcal{G}$ and a number $k$, finds and tests unavoidable sets for the class of graphs in $\mathcal{G}$ of path-width at most $k$. We put special emphasis…

Combinatorics · Mathematics 2020-10-19 Oliver Bachtler , Irene Heinrich

Contrastive learning is an effective unsupervised method in graph representation learning. Recently, the data augmentation based contrastive learning method has been extended from images to graphs. However, most prior works are directly…

Machine Learning · Computer Science 2023-12-19 Shengyu Feng , Baoyu Jing , Yada Zhu , Hanghang Tong

Multi-sourced datasets are common in studies of variable interactions, for example, individual-level fMRI integration, cross-domain recommendation, etc, where each source induces a related but distinct dependency structure. Joint learning…

Methodology · Statistics 2025-12-08 Shixiang Liu , Yanhang Zhang , Zhifan Li , Jianxin Yin

We consider the problem of constructing embeddings of large attributed graphs and supporting multiple downstream learning tasks. We develop a graph embedding method, which is based on extending deep metric and unbiased contrastive learning…

Machine Learning · Computer Science 2024-11-22 Xiang Li , Gagan Agrawal , Ruoming Jin , Rajiv Ramnath

Hypergraph, with its powerful ability to capture higher-order relationships, has gained significant attention recently. Consequently, many hypergraph representation learning methods have emerged to model the complex relationships among…

Social and Information Networks · Computer Science 2025-02-24 Tianyi Ma , Yiyue Qian , Shinan Zhang , Chuxu Zhang , Yanfang Ye

This paper considers the problem of interpolating signals defined on graphs. A major presumption considered by many previous approaches to this problem has been lowpass/ band-limitedness of the underlying graph signal. However, inspired by…

Information Theory · Computer Science 2017-05-09 Mahdi Boloursaz Mashhadi , Maryam Fallah , Farokh Marvasti

Probabilistic graphs are an abstraction that allow us to study randomized propagation in graphs. In a probabilistic graph, each edge is "active" with a certain probability, independent of the other edges. For two vertices $u,v$, a classic…

Data Structures and Algorithms · Computer Science 2025-07-14 Aditya Bhaskara , Alex Crane , Shweta Jain , Md Mumtahin Habib Ullah Mazumder , Blair D. Sullivan , Prasanth Yalamanchili

We study an extension of the classical graph cut problem, wherein we replace the modular (sum of edge weights) cost function by a submodular set function defined over graph edges. Special cases of this problem have appeared in different…

Data Structures and Algorithms · Computer Science 2016-03-29 Stefanie Jegelka , Jeff Bilmes

Graph sparsification is a well-established technique for accelerating graph-based learning algorithms, which uses edge sampling to approximate dense graphs with sparse ones. Because the sparsification error is random and unknown, users must…

Machine Learning · Computer Science 2025-03-12 Siyao Wang , Miles E. Lopes

Graph Contrastive Learning (GCL) has demonstrated remarkable effectiveness in learning representations on graphs in recent years. To generate ideal augmentation views, the augmentation generation methods should preserve essential…

Machine Learning · Computer Science 2024-09-06 Kaiqi Yang , Haoyu Han , Wei Jin , Hui Liu

Graph Edit Distance (GED) is a widely used metric for measuring similarity between two graphs. Computing the optimal GED is NP-hard, leading to the development of various neural and non-neural heuristics. While neural methods have achieved…

Machine Learning · Computer Science 2025-05-06 Samidha Verma , Arushi Goyal , Ananya Mathur , Ankit Anand , Sayan Ranu

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

Communication networks form the backbone of our society. Topology control algorithms optimize the topology of such communication networks. Due to the importance of communication networks, a topology control algorithm should guarantee…

Software Engineering · Computer Science 2018-05-10 Roland Kluge , Michael Stein , Gergely Varró , Andy Schürr , Matthias Hollick , Max Mühlhäuser

Graph neural networks have emerged as a promising paradigm for image processing, yet their performance in image classification tasks is hindered by a limited consideration of the underlying structure and relationships among visual entities.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Usama Zidan , Mohamed Gaber , Mohammed M. Abdelsamea

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a…

Databases · Computer Science 2016-02-17 Haohan Zhu , Xianrui Meng , George Kollios

The graph isomorphism, subgraph isomorphism, and graph edit distance problems are combinatorial problems with many applications. Heuristic exact and approximate algorithms for each of these problems have been developed for different kinds…

Logic in Computer Science · Computer Science 2019-11-27 Sheung Chi Chan , James Cheney

In this paper we present the Markov variation, a smoothness measure which offers a probabilistic interpretation of graph signal smoothness. This measure is then used to develop an optimization framework for graph signal interpolation. Our…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Ayelet Heimowitz , Yonina C. Eldar

This paper proposes a training data augmentation pipeline that combines synthetic image data with neural style transfer in order to address the vulnerability of deep vision models to common corruptions. We show that although applying style…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Georg Siedel , Rojan Regmi , Abhirami Anand , Weijia Shao , Silvia Vock , Andrey Morozov

Early graph prompt tuning approaches relied on task-specific designs for Graph Neural Networks (GNNs), limiting their adaptability across diverse pre-training strategies. In contrast, another promising line of research has investigated…

Machine Learning · Computer Science 2025-12-10 Jinfeng Xu , Zheyu Chen , Shuo Yang , Jinze Li , Hewei Wang , Yijie Li , Edith C. H. Ngai

A Grammatical Error Correction (GEC) system produces a sequence of edits to correct an erroneous sentence. The quality of these edits is typically evaluated against human annotations. However, a sentence may admit multiple valid…

Computation and Language · Computer Science 2026-05-06 Qiyuan Xiao , Xiaoman Wang , Yunshi Lan
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