| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2024 |
| Язык | английский |
|
Батыршин Ильдар Закирзянович, автор
Кубышева Наиля Исхаковна, автор
|
|
Ensastegui-Ortega Maria Elena , автор
Gelbukh Alexander , автор
|
| Библиографическое описание на языке оригинала |
Ensastegui-Ortega, M. E., Batyrshin, I., Gelbukh, A., & Kubysheva, N. (2024). Analysis of Relationships Between Co-Symmetric Dissimilarity Measures of Probability Distributions with Involutive Negations. Computación y Sistemas, 28(2). |
| Аннотация |
Abstract. Learning from data in almost any human
activity is a very important task, usually using similarity
or dissimilarity between data. Recently, it was shown the
importance of considering the involution operation
defined on the data domain which reflects a symmetry of
data structures. This symmetry should be taken into
account in data analysis. Co-symmetric similarity and
dissimilarity measures defined over a set with involution
play an important role in data analysis. In this paper, four
dissimilarity functions over the set of probability
distributions are created that meet the property of cosymmetry with respect to the involutive negation of
distributions. Scatter graphs are generated from their
respective dissimilarity matrices to compare the
similarity between them. Additionally, the Pearson,
Kendall, and Spearman correlation coefficients are
calculated to numerically assess the relationship that
exists. Subsequently, four dissimilarity functions are
considered due to their higher correlation with those
studied in this paper. They are divided into two groups,
and an analysis is conducted to determine which are
more correlated. |
| Ключевые слова |
Co-symmetry, correlation, dissimilarity,
involution, probability distribution. |
| Название журнала |
Computación y Sistemas
|
| URL |
https://cys.cic.ipn.mx/ojs/index.php/CyS/article/view/5049/3712 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=303035 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Батыршин Ильдар Закирзянович |
ru_RU |
| dc.contributor.author |
Кубышева Наиля Исхаковна |
ru_RU |
| dc.contributor.author |
Ensastegui-Ortega Maria Elena |
ru_RU |
| dc.contributor.author |
Gelbukh Alexander |
ru_RU |
| dc.date.accessioned |
2024-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2024-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2024 |
ru_RU |
| dc.identifier.citation |
Ensastegui-Ortega, M. E., Batyrshin, I., Gelbukh, A., & Kubysheva, N. (2024). Analysis of Relationships Between Co-Symmetric Dissimilarity Measures of Probability Distributions with Involutive Negations. Computación y Sistemas, 28(2). |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=303035 |
ru_RU |
| dc.description.abstract |
Computación y Sistemas |
ru_RU |
| dc.description.abstract |
Abstract. Learning from data in almost any human
activity is a very important task, usually using similarity
or dissimilarity between data. Recently, it was shown the
importance of considering the involution operation
defined on the data domain which reflects a symmetry of
data structures. This symmetry should be taken into
account in data analysis. Co-symmetric similarity and
dissimilarity measures defined over a set with involution
play an important role in data analysis. In this paper, four
dissimilarity functions over the set of probability
distributions are created that meet the property of cosymmetry with respect to the involutive negation of
distributions. Scatter graphs are generated from their
respective dissimilarity matrices to compare the
similarity between them. Additionally, the Pearson,
Kendall, and Spearman correlation coefficients are
calculated to numerically assess the relationship that
exists. Subsequently, four dissimilarity functions are
considered due to their higher correlation with those
studied in this paper. They are divided into two groups,
and an analysis is conducted to determine which are
more correlated. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Co-symmetry |
ru_RU |
| dc.subject |
correlation |
ru_RU |
| dc.subject |
dissimilarity |
ru_RU |
| dc.subject |
involution |
ru_RU |
| dc.subject |
probability distribution. |
ru_RU |
| dc.title |
Analysis of Relationships Between Co-Symmetric Dissimilarity Measures of Probability Distributions with Involutive Negations |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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