title: ÐÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ²ÑÑÐ´Ð¾ÑÑÐ¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¿Ð¾ ÑÐºÐ°Ð»Ðµ ÐÐ¾Ð¾ÑÐ° Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ
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: Predicting the hardness of materials on the Mohs scale using machine learning methods
Creators: name: ÐÐ»ÑÑÑÐµÐ½ÐºÐ¾, Ð Ð¾Ð¼Ð°Ð½
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: ÑÐºÐ°Ð»Ð° ÐÐ¾Ð¾ÑÐ°
Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ðµ Ð¾Ð±ÑÑÐµÐ½Ð¸Ðµ
Ð¸ÑÐºÑÑÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð½ÐµÐ¹ÑÐ¾Ð½Ð½ÑÐµ ÑÐµÑÐ¸
ÑÐ²ÑÑÐ´Ð¾ÑÑÑ
Mohs scale
machine learning
artificial neural networks
hardness

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ²ÑÑÐ´Ð¾ÑÑÐ¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¿Ð¾ ÑÐºÐ°Ð»Ðµ ÐÐ¾Ð¾ÑÐ° Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸ÑÂ» Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ð° ÑÑÑÐ½Ð¾ÑÑÑ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° Ðº ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿ÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²ÑÑÐ´Ð¾ÑÑÐ¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¿Ð¾ ÑÐºÐ°Ð»Ðµ ÐÐ¾Ð¾ÑÐ° Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python. ÐÑÐ¾Ð²ÐµÐ´ÑÐ½ ÑÐ°Ð·Ð²ÐµÐ´ÑÐ²Ð°ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¸Ð¼ÐµÑÑÐ¸ÑÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°Ñ Ñ ÑÐµÐ»ÑÑ Ð¸Ð·Ð²Ð»ÐµÑÐµÐ½Ð¸Ñ Ð¸Ð· Ð½Ð¸Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¹ Ð²ÑÐ³Ð¾Ð´Ñ. ÐÐ°Ð½Ð½ÑÐµ Ð¾Ð±ÑÐ¸Ðµ Ð¿Ð¾Ð½ÑÑÐ¸Ñ Ð¸Ð· Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¿Ð¾Ð»ÐµÐ·Ð½Ñ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð¿Ð¾Ð´Ð¾Ð±Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ ÑÐµÐ»ÑÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¾Ð¹, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð»ÑÑÑÐµ Ð²ÑÐµÑ Ð¿ÑÐµÐ´ÑÐºÐ°Ð·ÑÐ²Ð°ÐµÑ ÑÐµÐ»ÐµÐ²ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ð° ÑÑÑÐ½Ð¾ÑÑÑ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° Ðº ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿ÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²ÑÑÐ´Ð¾ÑÑÐ¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¿Ð¾ ÑÐºÐ°Ð»Ðµ ÐÐ¾Ð¾ÑÐ° Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python. ÐÑÐ¾Ð²ÐµÐ´ÑÐ½ ÑÐ°Ð·Ð²ÐµÐ´ÑÐ²Ð°ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¸Ð¼ÐµÑÑÐ¸ÑÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°Ñ Ñ ÑÐµÐ»ÑÑ Ð¸Ð·Ð²Ð»ÐµÑÐµÐ½Ð¸Ñ Ð¸Ð· Ð½Ð¸Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¹ Ð²ÑÐ³Ð¾Ð´Ñ. ÐÐ°Ð½Ð½ÑÐµ Ð¾Ð±ÑÐ¸Ðµ Ð¿Ð¾Ð½ÑÑÐ¸Ñ Ð¸Ð· Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¿Ð¾Ð»ÐµÐ·Ð½Ñ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð¿Ð¾Ð´Ð¾Ð±Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ ÑÐµÐ»ÑÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ¾Ð¹, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð»ÑÑÑÐµ Ð²ÑÐµÑ Ð¿ÑÐµÐ´ÑÐºÐ°Ð·ÑÐ²Ð°ÐµÑ ÑÐµÐ»ÐµÐ²ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ.
description: The subject of the graduate qualification work is Â«Predicting the hardness of materials on the Mohs scale using machine learning methodsÂ». This paper outlines the essence of the approach to creating a machine learning model for the problem of predicting the hardness of materials on the Mohs scale in the Python programming language. A reconnaissance analysis of existing materials data was carried out in order to extract maximum benefit from it. These are general concepts from the field of machine learning and an algorithm for constructing models that can be useful in solving similar problems. The selected models were compared to determine the one that best predicts the target data. This paper outlines the essence of the approach to creating a machine learning model for the problem of predicting the hardness of materials on the Mohs scale in the Python programming language. A reconnaissance analysis of existing materials data was carried out in order to extract maximum benefit from it. These are general concepts from the field of machine learning and an algorithm for constructing models that can be useful in solving similar problems. The selected models were compared to determine the one that best predicts the target data.