title: SVM-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð±Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: An IU-algorithm for solving binary classification problems
Creators: name: ÐÑÐºÑÑÐ½ÑÐµÐ½ÐºÐ¾Ð²Ð°, ÐÐ»Ð¸Ð½Ð°
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: 2024
Subjects: Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ðµ Ð¾Ð±ÑÑÐµÐ½Ð¸Ðµ
Ð¼Ð°ÑÐ¸Ð½Ð° Ð¾Ð¿Ð¾ÑÐ½ÑÑ Ð²ÐµÐºÑÐ¾ÑÐ¾Ð²
Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ðµ Ð¾Ð±ÑÑÐµÐ½Ð¸Ðµ
Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ
machine learning
support vector machine
incremental updating
IU-algorithm

description: Ð¦ÐµÐ»Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¾ÑÑÐ¾Ð¸Ñ Ð² Ð¸Ð·ÑÑÐµÐ½Ð¸Ð¸ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐ¸Ð½Ñ Ð¾Ð¿Ð¾ÑÐ½ÑÑ Ð²ÐµÐºÑÐ¾ÑÐ¾Ð² (Support Vector Machine, SVM) Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Incremental Updating (IU) Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð±Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸. ÐÑÑÐ¾Ð´Ñ Ð¸Ð· Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾Ð¹ ÑÐµÐ»Ð¸, ÑÐµÑÐ°ÑÑÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: 1. ÐÐ·ÑÑÐ¸ÑÑ Ð½Ð°ÑÑÐ½ÑÐµ ÑÑÐ°ÑÑÐ¸ Ð¿Ð¾ ÑÐµÐ¼Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ; 2. ÐÐ¿Ð¸ÑÐ°ÑÑ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÑÑ Ð¾ÑÐ½Ð¾Ð²Ñ SVM-Ð¿Ð¾Ð´ÑÐ¾Ð´Ð°, Ð²ÑÐ´ÐµÐ»Ð¸ÑÑ ÐµÐ³Ð¾ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²Ð°; 3. ÐÑÐ´ÐµÐ»Ð¸ÑÑ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²Ð° Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ SVM; 4. ÐÐ¿Ð¸ÑÐ°ÑÑ IU-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼: ÐµÐ³Ð¾ Ð¸Ð´ÐµÑ, ÑÑÐ°Ð¿Ñ Ð¸ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸; 5. Ð ÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°ÑÑ IU-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð½Ð° ÑÐ·ÑÐºÐµ Python, Ð¿ÑÐ¾Ð²ÐµÑÑÐ¸ Ð¾ÑÐ»Ð°Ð´ÐºÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ; 6. ÐÑÐ¾Ð²ÐµÑÐ¸ÑÑ ÑÐ°Ð±Ð¾ÑÑ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ IU-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ; 7. ÐÐ¿Ð¸ÑÐ°ÑÑ ÑÑÐ°Ð¿Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ SVM, Ð¿ÑÐ¸Ð²ÐµÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÑÑ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐ¸Ð½ Ð½Ð° ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¸Ð· ÑÐµÐ¿Ð¾Ð·Ð¸ÑÐ¾ÑÐ¸Ñ; 8. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸, ÑÑÐ°Ð²Ð½Ð¸ÑÑ Ð¸Ñ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ Ð¸Ð· Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð², ÑÐ´ÐµÐ»Ð°ÑÑ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾Ð± ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ IU-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð´Ð»Ñ Ð·Ð°Ð´Ð°Ñ Ð±Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸. ÐÐ±ÑÐµÐºÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÑÑÑÑ SVM-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð¼ Ð¾Ð±ÑÑÐµÐ½Ð¸Ð¸. ÐÑÐµÐ´Ð¼ÐµÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ IU-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð±Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸. Ð ÐºÐ°ÑÐµÑÑÐ²Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÑÑÑÐ¿Ð¸Ð»Ð¸ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ ÑÑÐµÐ±Ð½ÑÑ Ð´Ð¸ÑÑÐ¸Ð¿Ð»Ð¸Ð½: Ð°Ð»Ð³ÐµÐ±ÑÑ, Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸, Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸, Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¸ Ð¾ÑÐµÐ½Ð¸ÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¿Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ, Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸ IU-Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°, Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð±Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸.
description: The purpose of the research is to study the features of building a support vector machine (SVM) based on incremental updating (IU) algorithms and the implementation of an IU-algorithm to solve the binary classification problem. Based on this purpose, The following tasks need to be solved: 1. Study scientific articles on the research topic; 2. Describe the theoretical basis of the SVM, highlight its advantages; 3. Highlight the benefits of incremental learning for SVM; 4. Describe the IU-algorithm: its idea, stages and features; 5. Implement the IU-algorithm in Python, debug the program; 6. Check the results of the implemented IU-algorithmâs work on model data; 7. Describe the stages of building an SVM, give examples of building machines based on real data from the repository; 8. Analyze the classification results obtained, compare them with the results from the sources, draw conclusions about the effectiveness of the application An IU algorithm for binary classification problems. The object of the study is SVM-algorithms for incremental updating in machine learning. The subject of the study is an IU-algorithm for solving binary classification problems. Classical methods of academic disciplines were used as research methods: algebra, mathematical statistics, motor optimization, programming. The results obtained in the course of the study made it possible to evaluate the effectiveness of incremental learning algorithms, in particular the IU-algorithm, for solving binary classification problems.