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Given a vertex-weighted graph, the maximum weight independent set problem asks for a pair-wise non-adjacent set of vertices such that the sum of their weights is maximum. The branch-and-reduce paradigm is the de facto standard approach to…

Data Structures and Algorithms · Computer Science 2020-08-14 Alexander Gellner , Sebastian Lamm , Christian Schulz , Darren Strash , Bogdán Zaválnij

Unsupervised graph representation learning aims to distill various graph information into a downstream task-agnostic dense vector embedding. However, existing graph representation learning approaches are designed mainly under the node…

Machine Learning · Computer Science 2022-03-04 You Li , Bei Lin , Binli Luo , Ning Gui

Given a graph learning task, such as link prediction, on a new graph, how can we select the best method as well as its hyperparameters (collectively called a model) without having to train or evaluate any model on the new graph? Model…

Machine Learning · Computer Science 2023-06-12 Namyong Park , Ryan Rossi , Nesreen Ahmed , Christos Faloutsos

Self-supervised learning of graph neural networks (GNNs) aims to learn an accurate representation of the graphs in an unsupervised manner, to obtain transferable representations of them for diverse downstream tasks. Predictive learning and…

Machine Learning · Computer Science 2022-10-11 Dongki Kim , Jinheon Baek , Sung Ju Hwang

The classic technique of Baker [J. ACM '94] is the most fundamental approach for designing approximation schemes on planar, or more generally topologically-constrained graphs, and it has been applied in a myriad of different variants and…

Data Structures and Algorithms · Computer Science 2023-11-01 Tuukka Korhonen , Wojciech Nadara , Michał Pilipczuk , Marek Sokołowski

We consider the fully decentralized machine learning scenario where many users with personal datasets collaborate to learn models through local peer-to-peer exchanges, without a central coordinator. We propose to train personalized models…

Machine Learning · Computer Science 2024-12-20 Valentina Zantedeschi , Aurélien Bellet , Marc Tommasi

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

Graph Neural Networks (GNN) show great promise in problems dealing with graph-structured data. One of the unique points of GNNs is their flexibility to adapt to multiple problems, which not only leads to wide applicability, but also poses…

Machine Learning · Computer Science 2022-06-17 Axel Wassington , Sergi Abadal

We present a simple distributed $\Delta$-approximation algorithm for maximum weight independent set (MaxIS) in the $\mathsf{CONGEST}$ model which completes in $O(\texttt{MIS}(G)\cdot \log W)$ rounds, where $\Delta$ is the maximum degree,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-02 Reuven Bar-Yehuda , Keren Censor-Hillel , Mohsen Ghaffari , Gregory Schwartzman

Since most scientific literature data are unlabeled, this makes unsupervised graph-based semantic representation learning crucial. Therefore, an unsupervised semantic representation learning method of scientific literature based on graph…

Information Retrieval · Computer Science 2023-01-31 Hongrui Gao , Yawen Li , Meiyu Liang , Zeli Guan

In algorithmic graph theory, a classic open question is to determine the complexity of the Maximum Independent Set problem on $P_t$-free graphs, that is, on graphs not containing any induced path on $t$ vertices. So far, polynomial-time…

Data Structures and Algorithms · Computer Science 2018-04-12 Gábor Bacsó , Daniel Lokshtanov , Dániel Marx , Marcin Pilipczuk , Zsolt Tuza , Erik Jan van Leeuwen

Generalizable, transferrable, and robust representation learning on graph-structured data remains a challenge for current graph neural networks (GNNs). Unlike what has been developed for convolutional neural networks (CNNs) for image data,…

Machine Learning · Computer Science 2021-04-06 Yuning You , Tianlong Chen , Yongduo Sui , Ting Chen , Zhangyang Wang , Yang Shen

Max Independent Set (MIS) is a paradigmatic problem in theoretical computer science and numerous studies tackle its resolution by exact algorithms with non-trivial worst-case complexity. The best such complexity is, to our knowledge, the…

Discrete Mathematics · Computer Science 2009-01-13 Nicolas Bourgeois , Bruno Escoffier , Vangelis Th. Paschos , Johan M. M van Rooij

Unrolled computation graphs arise in many scenarios, including training RNNs, tuning hyperparameters through unrolled optimization, and training learned optimizers. Current approaches to optimizing parameters in such computation graphs…

Machine Learning · Computer Science 2021-12-28 Paul Vicol , Luke Metz , Jascha Sohl-Dickstein

We propose a data-efficient Gaussian process-based Bayesian approach to the semi-supervised learning problem on graphs. The proposed model shows extremely competitive performance when compared to the state-of-the-art graph neural networks…

Machine Learning · Computer Science 2018-10-15 Yin Cheng Ng , Nicolo Colombo , Ricardo Silva

This paper presents a novel graph-based deep learning model for tasks involving relations between two nodes (edge-centric tasks), where the focus lies on predicting relationships and interactions between pairs of nodes rather than node…

Machine Learning · Computer Science 2025-07-08 Eugenio Borzone , Leandro Di Persia , Matias Gerard

We present the Topology Transformation Equivariant Representation learning, a general paradigm of self-supervised learning for node representations of graph data to enable the wide applicability of Graph Convolutional Neural Networks…

Machine Learning · Computer Science 2021-12-03 Xiang Gao , Wei Hu , Guo-Jun Qi

We study the approximability of the maximum size independent set (MIS) problem in bounded degree graphs. This is one of the most classic and widely studied NP-hard optimization problems. We focus on the well known minimum degree greedy…

Data Structures and Algorithms · Computer Science 2020-02-03 Piotr Krysta , Mathieu Mari , Nan Zhi

The quality of graph-structured data is fundamental to the success of modern graph analysis techniques such as Graph Neural Networks (GNNs). However, real-world graph data is often suboptimal, suffering from issues such as noise and…

Machine Learning · Computer Science 2026-05-19 Shen Han , Zhiyao Zhou , Jiawei Chen , Sheng Zhou , Canghong Jin , Hai Lin , Da Zhong Li , Bingde Hu , Can Wang

In this paper, we develop deterministic fully dynamic algorithms for computing approximate distances in a graph with worst-case update time guarantees. In particular, we obtain improved dynamic algorithms that, given an unweighted and…

Data Structures and Algorithms · Computer Science 2022-09-09 Jan van den Brand , Sebastian Forster , Yasamin Nazari