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Graph representations of programs are commonly a central element of machine learning for code research. We introduce an open source Python library python_graphs that applies static analysis to construct graph representations of Python…

Machine Learning · Computer Science 2022-08-17 David Bieber , Kensen Shi , Petros Maniatis , Charles Sutton , Vincent Hellendoorn , Daniel Johnson , Daniel Tarlow

We investigate the power of graph isomorphism algorithms based on algebraic reasoning techniques like Gr\"obner basis computation. The idea of these algorithms is to encode two graphs into a system of equations that are satisfiable if and…

Computational Complexity · Computer Science 2015-02-23 Christoph Berkholz , Martin Grohe

Locally-biased graph algorithms are algorithms that attempt to find local or small-scale structure in a large data graph. In some cases, this can be accomplished by adding some sort of locality constraint and calling a traditional graph…

Social and Information Networks · Computer Science 2016-12-06 Kimon Fountoulakis , David Gleich , Michael Mahoney

Basic Linear Algebra Subprograms (BLAS) are a set of low level linear algebra kernels widely adopted by applications involved with the deep learning and scientific computing. The massive and economic computing power brought forth by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Linnan Wang , Wei Wu , Jianxiong Xiao , Yi Yang

Neural networks that compute over graph structures are a natural fit for problems in a variety of domains, including natural language (parse trees) and cheminformatics (molecular graphs). However, since the computation graph has a different…

Neural and Evolutionary Computing · Computer Science 2017-02-23 Moshe Looks , Marcello Herreshoff , DeLesley Hutchins , Peter Norvig

Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

In this paper, we introduce GraphLake, a purpose-built graph compute engine for Lakehouse. GraphLake is built on top of the commercial graph database TigerGraph. It maps Lakehouse tables to vertex and edge types in a labeled property graph…

Databases · Computer Science 2026-03-05 Shige Liu , Songting Chen , Chengjie Qin , Mingxi Wu , Jianguo Wang

Graphs are a powerful tool for representing and analyzing unstructured, non-Euclidean data ubiquitous in the healthcare domain. Two prominent examples are molecule property prediction and brain connectome analysis. Importantly, recent works…

Machine Learning · Computer Science 2022-04-04 Kamilia Mullakaeva , Luca Cosmo , Anees Kazi , Seyed-Ahmad Ahmadi , Nassir Navab , Michael M. Bronstein

Networks are a powerful tool to model complex systems, and the definition of many Graph Neural Networks (GNN), Deep Learning algorithms that can handle networks, has opened a new way to approach many real-world problems that would be hardly…

Machine Learning · Computer Science 2021-09-28 Marco Grassia , Manlio De Domenico , Giuseppe Mangioni

Laplacian matrices of graphs arise in large-scale computational applications such as machine learning; spectral clustering of images, genetic data and web pages; transportation network flows; electrical resistor circuits; and elliptic…

Numerical Analysis · Mathematics 2011-08-02 Oren E. Livne , Achi Brandt

GRAFT is a structured multimodal benchmark designed to probe how well LLMs handle instruction following, visual reasoning, and tasks requiring tight visual textual alignment. The dataset is built around programmatically generated charts and…

Artificial Intelligence · Computer Science 2025-12-03 Abhigya Verma , Sriram Puttagunta , Seganrasan Subramanian , Sravan Ramachandran

Graph retrieval-augmented generation (GraphRAG) has emerged as a powerful paradigm for enhancing large language models (LLMs) with external knowledge. It leverages graphs to model the hierarchical structure between specific concepts,…

Computation and Language · Computer Science 2026-02-24 Zhishang Xiang , Chuanjie Wu , Qinggang Zhang , Shengyuan Chen , Zijin Hong , Xiao Huang , Jinsong Su

Graphs are mathematical tools that can be used to represent complex real-world systems, such as financial markets and social networks. Hence, machine learning (ML) over graphs has attracted significant attention recently. However, it has…

Machine Learning · Computer Science 2023-03-22 O. Deniz Kose , Yanning Shen , Gonzalo Mateos

We present a graph processing benchmark suite with the goal of helping to standardize graph processing evaluations. Fewer differences between graph processing evaluations will make it easier to compare different research efforts and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-18 Scott Beamer , Krste Asanović , David Patterson

The vertex-centric programming model is an established computational paradigm recently incorporated into distributed processing frameworks to address challenges in large-scale graph processing. Billion-node graphs that exceed the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-17 Robert Ryan McCune , Tim Weninger , Gregory Madey

We present a general graph-based modeling abstraction for optimization that we call an OptiGraph. Under this abstraction, any optimization problem is treated as a hierarchical hypergraph in which nodes represent optimization subproblems and…

Optimization and Control · Mathematics 2026-05-11 Jordan Jalving , Sungho Shin , Victor M. Zavala

Over the past few years, graph neural networks (GNN) and label propagation-based methods have made significant progress in addressing node classification tasks on graphs. However, in addition to their reliance on elaborate architectures and…

Machine Learning · Computer Science 2021-10-18 Yangkun Wang , Jiarui Jin , Weinan Zhang , Yong Yu , Zheng Zhang , David Wipf

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

Graph Neural Networks (GNNs) are a powerful representational tool for solving problems on graph-structured inputs. In almost all cases so far, however, they have been applied to directly recovering a final solution from raw inputs, without…

Machine Learning · Statistics 2020-01-16 Petar Veličković , Rex Ying , Matilde Padovano , Raia Hadsell , Charles Blundell

Graph neural networks have emerged as a leading architecture for many graph-level tasks, such as graph classification and graph generation. As an essential component of the architecture, graph pooling is indispensable for obtaining a…

Machine Learning · Computer Science 2023-06-23 Chuang Liu , Yibing Zhan , Jia Wu , Chang Li , Bo Du , Wenbin Hu , Tongliang Liu , Dacheng Tao