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We study exact sparse linear regression with an $\ell_0-\ell_2$ penalty and develop a branch-and-bound (BnB) algorithm explicitly designed for GPU execution. Starting from a perspective reformulation, we derive an interval relaxation that…

Optimization and Control · Mathematics 2026-02-05 Xiang Meng , Ryan Lucas , Rahul Mazumder

Many artificial intelligence (AI) devices have been developed to accelerate the training and inference of neural networks models. The most common ones are the Graphics Processing Unit (GPU) and Tensor Processing Unit (TPU). They are highly…

Machine Learning · Computer Science 2022-10-25 xiangyang Ju , Yunsong Wang , Daniel Murnane , Nicholas Choma , Steven Farrell , Paolo Calafiura

The Ice-sheet and Sea-level System Model (ISSM) provides numerical solutions for ice sheet dynamics using finite element and fine mesh adaption. However, considering ISSM is compatible only with central processing units (CPUs), it has…

Machine Learning · Computer Science 2025-01-15 Maryam Rahnemoonfar , Younghyun Koo

Graph Convolutional Network (GCN) is a model that can effectively handle graph data tasks and has been successfully applied. However, for large-scale graph datasets, GCN still faces the challenge of high computational overhead, especially…

Machine Learning · Computer Science 2026-04-15 Guan Wang , Shuyin Xia , Lei Qian , Tao Wu , Guoyin Wang , Yi Wang , Wei Wang

Graph Neural Networks (GNNs) are a powerful tool for handling structured graph data and addressing tasks such as node classification, graph classification, and clustering. However, the sparse nature of GNN computation poses new challenges…

Machine Learning · Computer Science 2023-08-24 Julia Bazinska , Andrei Ivanov , Tal Ben-Nun , Nikoli Dryden , Maciej Besta , Siyuan Shen , Torsten Hoefler

Computational inference of causal relationships underlying complex networks, such as gene-regulatory pathways, is NP-complete due to its combinatorial nature when permuting all possible interactions. Markov chain Monte Carlo (MCMC) has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-19 Yu Wang , Weikang Qian , Shuchang Zhang , Bo Yuan

Graph convolutional networks (GCNs) are powerful deep neural networks for graph-structured data. However, GCN computes the representation of a node recursively from its neighbors, making the receptive field size grow exponentially with the…

Machine Learning · Statistics 2018-03-02 Jianfei Chen , Jun Zhu , Le Song

General Sparse Matrix-Matrix Multiplication (SpGEMM) has attracted much attention from researchers in graph analyzing, scientific computing, and deep learning. Many optimization techniques have been developed for different applications and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-12 Jianhua Gao , Weixing Ji , Fangli Chang , Shiyu Han , Bingxin Wei , Zeming Liu , Yizhuo Wang

Deep learning demonstrates effectiveness across a wide range of tasks. However, the dense and over-parameterized nature of these models results in significant resource consumption during deployment. In response to this issue, weight…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-05 Cong Ma , Du Wu , Zhelang Deng , Jiang Chen , Xiaowen Huang , Jintao Meng , Wenxi Zhu , Bingqiang Wang , Amelie Chi Zhou , Peng Chen , Minwen Deng , Yanjie Wei , Shengzhong Feng , Yi Pan

Graph convolutional neural networks (GCNs) have emerged as a key technology in various application domains where the input data is relational. A unique property of GCNs is that its two primary execution stages, aggregation and combination,…

Hardware Architecture · Computer Science 2022-12-02 Ranggi Hwang , Minhoo Kang , Jiwon Lee , Dongyun Kam , Youngjoo Lee , Minsoo Rhu

Graph Neural Networks (GNNs) require a large number of labeled graph samples to obtain good performance on the graph classification task. The performance of GNNs degrades significantly as the number of labeled graph samples decreases. To…

Machine Learning · Computer Science 2023-09-20 Abdullah Alchihabi , Yuhong Guo

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors composed of different types of cores attracted much attention because of their…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

Recent advancements in deep neural networks for graph-structured data have led to state-of-the-art performance on recommender system benchmarks. However, making these methods practical and scalable to web-scale recommendation tasks with…

Information Retrieval · Computer Science 2018-06-07 Rex Ying , Ruining He , Kaifeng Chen , Pong Eksombatchai , William L. Hamilton , Jure Leskovec

Sparse matrix-vector multiplication (SpMV) is an essential linear algebra operation that dominates the computing cost in many scientific applications. Due to providing massive parallelism and high memory bandwidth, GPUs are commonly used to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-14 Mina Ashoury , Mohammad Loni , Farshad Khunjush , Masoud Daneshtalab

Sparse matrix-matrix multiplication (SpGEMM) is a critical kernel widely employed in machine learning and graph algorithms. However, real-world matrices' high sparsity makes SpGEMM memory-intensive. In-situ computing offers the potential to…

Hardware Architecture · Computer Science 2023-11-08 Huize Li , Tulika Mitra

The state-of-the-art deep neural networks (DNNs) have significant computational and data management requirements. The size of both training data and models continue to increase. Sparsification and pruning methods are shown to be effective…

Machine Learning · Computer Science 2021-04-27 Gunduz Vehbi Demirci , Hakan Ferhatosmanoglu

Graph Convolutional Networks (GCNs) are widely adopted for tasks involving relational or graph-structured data and can be formulated as two-stage sparse-dense matrix multiplication (SpMM) during inference. However, existing accelerators…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Bohan Li , Shengmin Li , Xinyu Shi , Enyi Yao , Francky Catthoor , Simei Yang

Graph Convolutional Networks (GCNs) and their variants have achieved significant performances on various recommendation tasks. However, many existing GCN models tend to perform recursive aggregations among all related nodes, which can arise…

Information Retrieval · Computer Science 2022-10-17 Yue Xu , Hao Chen , Zengde Deng , Yuanchen Bei , Feiran Huang

Graph Convolutional Networks (GCNs) are specialized neural networks for feature extraction from graph-structured data. In contrast to traditional convolutional networks, GCNs offer distinct advantages when processing irregular data, which…

Quantum Physics · Physics 2025-03-11 Zi Ye , Kai Yu , Song Lin

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

Machine Learning · Statistics 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay