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Linear mixed models are able to handle an extraordinary range of complications in regression-type analyses. Their most common use is to account for within-subject correlation in longitudinal data analysis. They are also the standard vehicle…

Statistics Theory · Mathematics 2007-06-13 Y. Zhao , J. Staudenmayer , B. A. Coull , M. P. Wand

Basic Linear Algebra Subprograms (BLAS) is a core library in scientific computing and machine learning. This paper presents FT-BLAS, a new implementation of BLAS routines that not only tolerates soft errors on the fly, but also provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-09 Yujia Zhai , Elisabeth Giem , Quan Fan , Kai Zhao , Jinyang Liu , Zizhong Chen

GPUs are critical for compute-intensive applications, yet emerging workloads such as recommender systems, graph analytics, and data analytics often exceed GPU memory capacity. Existing solutions allow GPUs to use CPU DRAM or SSDs as…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-27 Zhuoping Yang , Jinming Zhuang , Xingzhen Chen , Alex K. Jones , Peipei Zhou

Generalized linear models (GLM) are link function based statistical models. Many supervised learning algorithms are extensions of GLMs and have link functions built into the algorithm to model different outcome distributions. There are two…

Methodology · Statistics 2019-05-02 Colleen M. Farrelly , Srikanth Namuduri , Uchenna Chukwu

Predicting the performance of large-scale distributed machine learning (ML) workloads across multiple accelerator architectures remains a central challenge in ML system design. Existing GPU and TPU focused simulators are typically…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-15 Jonas Svedas , Nathan Laubeuf , Ryan Harvey , Arjun Singh , Changhai Man , Abubakr Nada , Tushar Krishna , James Myers , Debjyoti Bhattacharjee

Linear Graph Convolutional Networks (GCNs) are used to classify the node in the graph data. However, we note that most existing linear GCN models perform neural network operations in Euclidean space, which do not explicitly capture the…

Machine Learning · Computer Science 2024-06-17 Qiuyu Liang , Weihua Wang , Feilong Bao , Guanglai Gao

In the realm of Large Language Model (LLM) inference, the inherent structure of transformer models coupled with the multi-GPU tensor parallelism strategy leads to a sequential execution of computation and communication. This results in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Bin Xiao , Lei Su

Grant-Free (GF) access has been recognized as a promising candidate for Ultra-Reliable and Low-Latency Communications (URLLC). However, even with GF access, URLLC still may not effectively gain high reliability and millimeter-level latency,…

Information Theory · Computer Science 2022-08-30 Zixiao Zhao , Qinghe Du , George K. Karagiannidis

The adoption of Large Language Models (LLMs) is rapidly expanding across various tasks that involve inherent graphical structures. Graphs are integral to a wide range of applications, including motion planning for autonomous vehicles,…

Artificial Intelligence · Computer Science 2025-03-17 Piyush Gupta , Sangjae Bae , David Isele

The increasing complexity of neural networks poses significant challenges for democratizing FL on resource?constrained client devices. Parallel split learning (PSL) has emerged as a promising solution by offloading substantial computing…

Machine Learning · Computer Science 2026-03-20 Zheng Lin , Ons Aouedi , Wei Ni , Symeon Chatzinotas , Xianhao Chen

Large language models (LLMs) are useful in many NLP tasks and become more capable with size, with the best open-source models having over 50 billion parameters. However, using these 50B+ models requires high-end hardware, making them…

We initiate an open-source library for the efficient analysis of temporal graphs. We consider one of the standard models of dynamic networks in which each edge has a discrete timestamp and transition time. Recently there has been a massive…

Data Structures and Algorithms · Computer Science 2025-08-04 Lutz Oettershagen , Petra Mutzel

Large-scale distributed graph-parallel computing is challenging. On one hand, due to the irregular computation pattern and lack of locality, it is hard to express parallelism efficiently. On the other hand, due to the scale-free nature,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-22 Jie Yan , Guangming Tan , Ninghui Sun

This paper details an extensible OpenCL framework that allows Stan to utilize heterogeneous compute devices. It includes GPU-optimized routines for the Cholesky decomposition, its derivative, other matrix algebra primitives and some…

Mathematical Software · Computer Science 2020-05-19 Rok Češnovar , Steve Bronder , Davor Sluga , Jure Demšar , Tadej Ciglarič , Sean Talts , Erik Štrumbelj

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

Numerical Analysis · Mathematics 2012-06-11 Oren E. Livne , Achi Brandt

Large Language Models are increasingly used by students to explore advanced material in computer science, including graph theory. As these tools become integrated into undergraduate and graduate coursework, it is important to understand how…

Artificial Intelligence · Computer Science 2026-02-06 Adithya Kulkarni , Mohna Chakraborty , Jay Bagga

Parallel computing can offer an enormous advantage regarding the performance for very large applications in almost any field: scientific computing, computer vision, databases, data mining, and economics. GPUs are high performance many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-24 Bogdan Oancea , Tudorel Andrei , Raluca Mariana Dragoescu

Large scale machine learning and deep models are extremely data-hungry. Unfortunately, obtaining large amounts of labeled data is expensive, and training state-of-the-art models (with hyperparameter tuning) requires significant computing…

Machine Learning · Computer Science 2021-06-15 Krishnateja Killamsetty , Durga Sivasubramanian , Ganesh Ramakrishnan , Rishabh Iyer

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

3D Gaussian splatting (3DGS) is a transformative technique with profound implications on novel view synthesis and real-time rendering. Given its importance, there have been many attempts to improve its performance. However, with the…

Hardware Architecture · Computer Science 2025-10-14 Yi Hu , Huiyang Zhou