From 20994449f70bd5a6d1543d24cf988dc3fc25bca9 Mon Sep 17 00:00:00 2001 From: Lin Date: Fri, 12 Jun 2026 20:56:44 +0300 Subject: [PATCH 1/2] added report added Report added report fixed naming added report --- .../Ljudmila_Ashikhmina_report.tex | 125 ++++++++++++++++++ Ashikhmina Ljudmila/graphic.png | Bin 0 -> 185547 bytes Ashikhmina Ljudmila/main.tex | 3 + 3 files changed, 128 insertions(+) create mode 100644 Ashikhmina Ljudmila/Ljudmila_Ashikhmina_report.tex create mode 100644 Ashikhmina Ljudmila/graphic.png create mode 100644 Ashikhmina Ljudmila/main.tex diff --git a/Ashikhmina Ljudmila/Ljudmila_Ashikhmina_report.tex b/Ashikhmina Ljudmila/Ljudmila_Ashikhmina_report.tex new file mode 100644 index 0000000..406b8ef --- /dev/null +++ b/Ashikhmina Ljudmila/Ljudmila_Ashikhmina_report.tex @@ -0,0 +1,125 @@ +% Данный файл распространяетсяя под лицензией CC BY 4.0. Текст лицензии размещён на https://creativecommons.org/licenses/by/4.0/ +% (c) Кафедра системного программирования, 2025 + +\documentclass[a4paper]{article} + +\usepackage[a4paper, top=8mm, bottom=8mm, left=8mm, right=8mm]{geometry} + +\usepackage{polyglossia} +\setdefaultlanguage[babelshorthands=true]{russian} +\setotherlanguage{english} + +\usepackage{fontspec} +\setmainfont{FreeSerif} +\newfontfamily{\russianfonttt}[Scale=0.7]{DejaVuSansMono} + +\usepackage[tiny, compact]{titlesec} + +\usepackage{titling} +\setlength{\droptitle}{-1cm} +\pretitle{\begin{center}\begin{bfseries}\Large} + \posttitle{\par\end{bfseries}\end{center}} +\preauthor{\begin{center}\normalsize} + \postauthor{\par\end{center}\vspace{-1.8cm}} + +\usepackage{hyperref} +\usepackage{bookmark} +\usepackage{csquotes} +\usepackage{graphicx} +\usepackage{enumitem} +\title{Постановка экспериментов на Spla} + +\author{Ашихина Людмила Александровна} + +\date{} + +\begin{document} + + \maketitle + + \begin{flushright} + Группа: \emph{25.Б42-мм} + + Кафедра: \emph{системного программирования} + + Научный руководитель: \emph{Григорьев Семен Вячеславович} + + + Номер семестра практики: \emph{2} + \end{flushright} + + \section{Постановка задачи} + + Spla --- библиотека для решения задач разреженной линейной алгебры, предназначенной для ускорения вычислений на GPGPU через стандарт OpenCL. Библиотека реализует идеи GraphBLAS - стандарта работы с графами с помощью линейной алгебры. + + \textbf{Целью работы является} сравнительное исследование производительности библиотеки Spla, реализованной на GPGPU через стандарт OpenCl и её CPU-аналога Lagraph на стандартных алгоритмах анализа графов для выявления сценариев, в которых использование GPU является наиболее производительным. + + Результаты работы необходимы для формирования доказательной базы производительности Spla. Для конечных пользователей, это позволит оптимизировать вычислительные процессы, выбирая наилучшее устройство для конкретных типов графов и алгоритмов. Материалы исследования будут интегрированны в официальную документацию репозитория Spla в качестве бенчмарков. + + \section{Описание предлагаемого решения} + + Для проведения сравнительного анализа был использован репозиторий \texttt{graph-bench}, позволяющий запускать алгоритмы на различных датасетах. + + В рамках эксперимента оценивалось время выполнения четырёх алгоритмов: + \begin{itemize}[noitemsep] + \item \textbf{BFS} (поиск в ширину) --- обход графа по уровням; + \item \textbf{SSSP} --- кратчайшие пути из одного источника + \item \textbf{PR} (PageRank) --- итеративный алгоритм оценки важности вершин; + \item \textbf{TC} (подсчёт треугольников) --- поиск цикла размера 3. + \end{itemize} + + В качестве тестовых данных были выбраны 10 графов из коллекции SuiteSparse Matrix Collection, охватывающих различные домены: социальные и цитатные сети (\texttt{coAuthorsCiteseer}, \texttt{coPapersDBLP}, \texttt{cit-Patents}), веб-графы (\texttt{amazon-2008}, \texttt{indochina-2004}), дорожные сети (\texttt{belgium\_osm}, \texttt{roadNet-CA}, \texttt{road\_central}) и \texttt{rgg\_n\_2\_22\_s0}, \texttt{rgg\_n\_2\_23\_s0}. + + Эксперименты проводились на тестовом стенде со следующими характеристиками: + \begin{itemize}[noitemsep] + \item CPU: AMD Ryzen 7 8845HS + \item GPU: AMD Radeon 780M \item ОЗУ: 32 ГБ LPDDR5X + \item ОС: Ubuntu 24.04.4 LTS + \end{itemize} + + \section{Эксперименты} + + Для уменьшения статистической погрешности пары алгоритм --- граф, проводилась серия из 20 замеров. Было получено, что стандартное отклонение не превышает 1\% от среднего значения (вставить значения), что позволяет использовать эти данные. + + Анализ полученных результатов выявил четкую зависимость производительности от типа алгоритма и структуры графа: + + \begin{enumerate} + \item \textbf{PageRank (PR).} Алгоритм PageRank, сводящийся к итеративному умножению разреженной матрицы на вектор (SpMV), демонстрирует наилучшие результаты на GPU. Библиотека Spla быстрее Lagraph в 5--10 раз на всех протестированных графах. Высокая степень параллелизма и регулярный характер обращений к памяти позволяют эффективно использовать вычислительные ресурсы GPU. + + \item \textbf{SSSP (кратчайшие пути).} Spla показывает преимущество в 3--5 раз на больших дорожных сетях благодаря регулярной структуре даннных (\texttt{road\_central}, \texttt{roadNet-CA}) и геометрических графах (\texttt{rgg\_n\_2\_23\_s0}). Однако на графах с нерегулярной структурой и неравномерным распределением степеней верший (\texttt{cit-Patents}, \texttt{indochina-2004}) CPU-реализация Lagraph оказывается быстрее за счет оптимизаций работы ядер. + \item \textbf{Triangle Counting (TC).} Операция подсчета треугольников требует неоднократного умножения матриц с нерегулярным паттерном доступа к памяти. В большинстве случаев Lagraph выполняется быстрее. Spla выигрывает только на графе \texttt{cit-Patents}. Данный граф имеет 3.8 m вершин и хаотичную структуру, создавая частый cache miss для CPU, когда неравномерный доступ к памяти в случае GPU компенсируется параллелизмом. + + \item \textbf{BFS (поиск в ширину).} Алгоритм BFS характеризуется нерегулярным расширением фронта обхода, что приводит к чрезмерно частым обращениям GPU к ОЗУ. В результате Lagraph опережает Spla на всех датасетах, особенно на веб-графах и дорожных сетях. + \end{enumerate} + + Таким образом, производительность зависит от максимума пропускной способности памяти и характера доступа к данным. Алгоритмы с регулярным доступом (PR) и высокой вычислительной плотностью на больших графах (SSSP на road/rgg) эффективно распараллеливаются на GPU благодаря эффективному доступу к памяти. Алгоритмы с нерегулярным, доступом к памяти (BFS, TC) лучше выполняются на CPU. + + Все результаты замеров и их средние значения доступны по ссылке: \url{https://drive.google.com/drive/u/1/folders/1J8WVkNs5ktG_Cv5sLw4bG_vfufb1ZyvR} + + \begin{figure}[h] + \centering + \includegraphics[width=0.8\textwidth]{graphic.png} + \caption{Сравнение времени выполнения алгоритмов} + \label{fig:pr_plot} + \end{figure} + + \section{Заключение} + + В ходе выполнения работы получены следующие результаты: + + \begin{itemize} + \item Проведено сравнительное тестирование библиотек Spla (GPU/OpenCL) и Lagraph (CPU) на 10 различных графах из репозитория \texttt{graph-bench}. + \item Выявлено, что для алгоритмов с высокой степенью параллелизма и регулярными паттернами доступа к памяти (PageRank, SSSP на дорожных сетях) использование Spla обеспечивает ускорение до 10 раз по сравнению с CPU-аналогом. + \item Показано, что для алгоритмов с нерегулярным обходом графа (BFS, Triangle Counting) более предпочтительным является использование Lagraph на CPU. + \item Подтверждена целесообразность использования Spla для разгрузки CPU и ускорения специфичных классов задач анализа графов. + \end{itemize} + + + +\begin{thebibliography}{99} +\bibitem{spla_orig} Исходный код библиотеки Spla [Электронный ресурс]. URL: https://github.com/SparseLinearAlgebra/spla +\bibitem{graphbench} Исходный код библиотеки graph-bench. URL: https://github.com/EgorOrachyov/graph-bench +\bibitem{lagraph} Исходный код библиотеки LAGraph. 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406b8ef..6652f06 100644 --- a/Ashikhmina Ljudmila/Ljudmila_Ashikhmina_report.tex +++ b/Ashikhmina Ljudmila/Ljudmila_Ashikhmina_report.tex @@ -116,10 +116,12 @@ -\begin{thebibliography}{99} -\bibitem{spla_orig} Исходный код библиотеки Spla [Электронный ресурс]. URL: https://github.com/SparseLinearAlgebra/spla -\bibitem{graphbench} Исходный код библиотеки graph-bench. URL: https://github.com/EgorOrachyov/graph-bench -\bibitem{lagraph} Исходный код библиотеки LAGraph. URL: https://github.com/GraphBLAS/LAGraph -\end{thebibliography} + \begin{thebibliography}{99} + \bibitem{spla_orig} Исходный код библиотеки Spla [Электронный ресурс]. URL: https://github.com/SparseLinearAlgebra/spla + \bibitem{graphbench} Исходный код библиотеки graph-bench. URL: https://github.com/EgorOrachyov/graph-bench + \bibitem{lagraph} Исходный код библиотеки LAGraph. URL: https://github.com/GraphBLAS/LAGraph + \end{thebibliography} + + Ссылка на репозиторий URL: \url{https://github.com/Lintari/Spla_experiments/tree/main} \end{document} \ No newline at end of file