title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð¾Ð³Ð¾ ÑÑÐºÐ¾ÑÐµÐ½Ð¸Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð¿ÑÐ¸ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐµ Ð±Ð¾Ð»ÑÑÐ¸Ñ Ð¾Ð±ÑÐµÐ¼Ð¾Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Research of possibilities of the processor for acceleration of calculations of functions of mathematical statistics at processing of great volumes of results of measurements
Creators: name: ÐÑÐ¸ÑÐ½Ð¸ÐºÐ¾Ð², ÐÐ²Ð³ÐµÐ½Ð¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ°
Ð½Ð°Ð±Ð¾ÑÑ Ð¸Ð½ÑÑÑÑÐºÑÐ¸Ð¹
Ð²ÐµÐºÑÐ¾ÑÐ¸Ð·Ð°ÑÐ¸Ñ
AVX
AVX-512
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¸
mathematical statistics
instruction sets
vectorization
correlation coefficient

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: "ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½ÑÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð´Ð»Ñ ÑÑÐºÐ¾ÑÐµÐ½Ð¸Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð¿ÑÐ¸ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐµ Ð±Ð¾Ð»ÑÑÐ¸Ñ Ð¾Ð±ÑÐµÐ¼Ð¾Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹". ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ°, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÑÑ ÑÑÐºÐ¾ÑÑÐµÑ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ðµ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÑ Ð¸ Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ°. 2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð¾-ÑÑÐºÐ¾ÑÐµÐ½Ð½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸. 3. ÐÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ ÑÑÐºÐ¾ÑÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸. 4. Ð¤Ð¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð²ÑÐ²Ð¾Ð´Ð¾Ð² Ð¾Ð± Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½ÑÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑÑ, ÑÐ¿Ð¾ÑÐ¾Ð±ÑÑÐ²ÑÑÑÐ¸Ñ ÑÑÐºÐ¾ÑÐµÐ½Ð¸Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸. Ð ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐµ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½ÑÐµ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÑ Ð¸ Ð¸Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° Ð²ÑÐµÐ¼Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸, Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ñ ÑÑÐ½ÐºÑÐ¸Ð¸, ÑÑÐºÐ¾ÑÐµÐ½Ð¸Ðµ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ ÐºÐ¾ÑÐ¾ÑÑÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð½Ð°Ð±Ð¾ÑÐ¾Ð² Ð¸Ð½ÑÑÑÑÐºÑÐ¸Ð¹ Ð¿ÑÐ¾ÑÐµÑÑÐ¾ÑÐ° AVX Ð¸ AVX-512, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ. ÐÐ°Ð½Ñ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¸ Ð¿Ð¾ Ð²ÑÐ±Ð¾ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾ÑÐ° Ð´Ð»Ñ Ð·Ð°Ð´Ð°Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸.
description: Subject matter of the graduate qualification work: "Research of possibilities of the processor for acceleration of calculations of functions of mathematical statistics at processing of great volumes of results of measurements". This work is devoted to research of computer hardware capabilities to accelerate calculations of functions of mathematical statistics in processing of large volumes of data. The tasks that were solved during the research: 1. Study of the architecture and organization of a modern computer. 2. Research of hardware-accelerated functions of mathematical statistics. 3. Practical research on accelerating various functions of mathematical statistics. 4. Making conclusions about hardware capabilities that contribute to speeding up calculations of functions of mathematical statistics. In work various computer components and their theoretical influence on time of calculations of functions of mathematical statistics are considered, functions which acceleration of calculations is possible with use of sets of instructions of processor AVX and AVX-512 are defined, practical research is spent. Recommendations on the selection of a processor for the tasks of calculating mathematical statistics have been made.