English
Related papers

Related papers: Quilting Stochastic Kronecker Product Graphs to Ge…

200 papers

We provide a simple new randomized contraction approach to the global minimum cut problem for simple undirected graphs. The contractions exploit 2-out edge sampling from each vertex rather than the standard uniform edge sampling. We…

Data Structures and Algorithms · Computer Science 2019-09-04 Mohsen Ghaffari , Krzysztof Nowicki , Mikkel Thorup

Stochastic Kronecker graphs supply a parsimonious model for large sparse real world graphs. They can specify the distribution of a large random graph using only three or four parameters. Those parameters have however proved difficult to…

Machine Learning · Statistics 2011-06-10 David F. Gleich , Art B. Owen

This paper introduces an efficient quantum computing method for reducing special graphs in the context of the graph coloring problem. The special graphs considered include both symmetric and non-symmetric graphs where the axis passes…

Quantum Physics · Physics 2025-10-21 Lord Sen , Shyamapada Mukherjee

Given a graph G and the desired size k in bits, how can we summarize G within k bits, while minimizing the information loss? Large-scale graphs have become omnipresent, posing considerable computational challenges. Analyzing such large…

Databases · Computer Science 2021-02-23 Kyuhan Lee , Hyeonsoo Jo , Jihoon Ko , Sungsu Lim , Kijung Shin

We present MMKG, a collection of three knowledge graphs that contain both numerical features and (links to) images for all entities as well as entity alignments between pairs of KGs. Therefore, multi-relational link prediction and entity…

Artificial Intelligence · Computer Science 2019-03-14 Ye Liu , Hui Li , Alberto Garcia-Duran , Mathias Niepert , Daniel Onoro-Rubio , David S. Rosenblum

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We study the problem of approximating the number of $k$-cliques in a graph when given query access to the graph. We consider the standard query model for general graphs via (1) degree queries, (2) neighbor queries and (3) pair queries. Let…

Data Structures and Algorithms · Computer Science 2018-03-14 Talya Eden , Dana Ron , C. Seshadhri

We study the problem of partitioning a small sample of $n$ individuals from a mixture of $k$ product distributions over a Boolean cube $\{0, 1\}^K$ according to their distributions. Each distribution is described by a vector of allele…

Machine Learning · Computer Science 2008-02-21 Shuheng Zhou

We consider the problem of graph generation guided by network statistics, i.e., the generation of graphs which have given values of various numerical measures that characterize networks, such as the clustering coefficient and the number of…

Social and Information Networks · Computer Science 2023-03-02 Jérôme Kunegis , Jun Sun , Eiko Yoneki

Workshop version accepted at KDD 2025 (AI4SupplyChain). Connecting an ever-expanding catalogue of products with suitable manufacturers and suppliers is critical for resilient, efficient global supply chains, yet traditional methods struggle…

Machine Learning · Computer Science 2025-08-14 Yunqing Li , Zixiang Tang , Jiaying Zhuang , Zhenyu Yang , Farhad Ameri , Jianbang Zhang

The $k$-cut problem asks, given a connected graph $G$ and a positive integer $k$, to find a minimum-weight set of edges whose removal splits $G$ into $k$ connected components. We give the first polynomial-time algorithm with approximation…

Data Structures and Algorithms · Computer Science 2018-11-12 MohammadHossein Bateni , Alireza Farhadi , MohammadTaghi Hajiaghayi

The multiplicative attribute graph (MAG) model was introduced by Kim and Leskovec as a mathematically tractable model of certain classes of real-world networks. It is an instance of hidden graph models, and implements the plausible idea…

Social and Information Networks · Computer Science 2019-01-29 Sikai Qu , Armand M. Makowski

Censor-Hillel et al. [PODC'15] recently showed how to efficiently implement centralized algebraic algorithms for matrix multiplication in the congested clique model, a model of distributed computing that has received increasing attention in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 François Le Gall

A key task in AutoML is to model learning curves of machine learning models jointly as a function of model hyper-parameters and training progression. While Gaussian processes (GPs) are suitable for this task, na\"ive GPs require…

Machine Learning · Computer Science 2024-10-15 Jihao Andreas Lin , Sebastian Ament , Maximilian Balandat , Eytan Bakshy

Maximal ancestral graphs (MAGs) have many desirable properties; in particular they can fully describe conditional independences from directed acyclic graphs (DAGs) in the presence of latent and selection variables. However, different MAGs…

Combinatorics · Mathematics 2020-07-07 Zhongyi Hu , Robin Evans

Bi-partite ribbon graphs arise in organising the large $N$ expansion of correlators in random matrix models and in the enumeration of observables in random tensor models. There is an algebra $\mathcal{K}(n)$, with basis given by bi-partite…

High Energy Physics - Theory · Physics 2023-11-14 Joseph Ben Geloun , Sanjaye Ramgoolam

Graph neural networks (GNNs) have achieved great success on various tasks and fields that require relational modeling. GNNs aggregate node features using the graph structure as inductive biases resulting in flexible and powerful models.…

Machine Learning · Computer Science 2021-06-25 Mandeep Rathee , Zijian Zhang , Thorben Funke , Megha Khosla , Avishek Anand

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

Data Structures and Algorithms · Computer Science 2024-10-30 Willow Ahrens

Knowledge Graph Embedding methods aim at representing entities and relations in a knowledge base as points or vectors in a continuous vector space. Several approaches using embeddings have shown promising results on tasks such as link…

Computation and Language · Computer Science 2018-11-12 Tommaso Soru , Stefano Ruberto , Diego Moussallem , André Valdestilhas , Alexander Bigerl , Edgard Marx , Diego Esteves

While Annealing Machines (AM) have shown increasing capabilities in solving complex combinatorial problems, positioning themselves as a more immediate alternative to the expected advances of future fully quantum solutions, there are still…

Artificial Intelligence · Computer Science 2025-01-13 Pablo Loyola , Kento Hasegawa , Andres Hoyos-Idobro , Kazuo Ono , Toyotaro Suzumura , Yu Hirate , Masanao Yamaoka