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Mathematics, Volume 11, Issue 3

February-1 2023 - 297 articles

Cover Story: The most popular group of unsupervised machine learning methods is clustering methods. The main goal of clustering is to find hidden relationships between observations. Sometimes, to use clustering methods, the initial data are so large that it becomes difficult. To implement this, one of the ways is to use data dimensionality reduction and include them in the clustering method. This paper presents the extension to the clustering method based on the modified inversion formula density estimation to solve previous method limitations. This new method’s extension works within higher-dimension (d > 15) cases, which was the limitation of the previous method. The new modification method has better results than the standard method in all cases, which confirmed the hypothesis about the new method’s positive impact on clustering results. View this paper
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Articles (297)

  • Article
  • Open Access
4 Citations
2,317 Views
17 Pages

3 February 2023

This research investigates the stabilization and control of an uncertain Euler–Bernoulli nano-beam with fixed ends. The governing partial differential equations of motion for the nano-beam are derived using Hamilton’s principle and the no...

  • Article
  • Open Access
5 Citations
2,167 Views
16 Pages

3 February 2023

This paper investigates adaptive output feedback control problem for switched uncertain nonlinear systems with input quantization, unmeasured system states and state constraints. Firstly, fuzzy logic systems are introduced to identify system uncertai...

  • Review
  • Open Access
18 Citations
15,841 Views
34 Pages

Student Engagement with Technology-Enhanced Resources in Mathematics in Higher Education: A Review

  • Caitríona Ní Shé,
  • Eabhnat Ní Fhloinn and
  • Ciarán Mac an Bhaird

3 February 2023

The effectiveness of technology-enhanced resources in mathematics in higher education is far from clear, nor is student engagement with such resources. In this review article, we investigate the existing literature in three interrelated areas: studen...

  • Article
  • Open Access
3 Citations
3,379 Views
29 Pages

3 February 2023

This paper presents the results of an exploration of the most resilient influences determining the attitude regarding prioritizing co-nationals over immigrants for access to employment. The source data were from the World Values Survey. After many se...

  • Article
  • Open Access
3 Citations
2,928 Views
25 Pages

Semi-Supervised Multi-Label Dimensionality Reduction Learning by Instance and Label Correlations

  • Runxin Li,
  • Jiaxing Du,
  • Jiaman Ding,
  • Lianyin Jia,
  • Yinong Chen and
  • Zhenhong Shang

3 February 2023

The label learning mechanism is challenging to integrate into the training model of the multi-label feature space dimensionality reduction problem, making the current multi-label dimensionality reduction methods primarily supervision modes. Many meth...

  • Article
  • Open Access
4 Citations
2,618 Views
19 Pages

3 February 2023

Recently, high dynamic range (HDR) imaging has been used in many fields such as display, computer graphics, and digital cameras. Various tone mapping operators (TMOs) are used for effective HDR imaging. TMOs aim to express HDR images without loss of...

  • Article
  • Open Access
7 Citations
3,074 Views
18 Pages

3 February 2023

The epidemic caused by the coronavirus infection SARS-CoV-2 at the beginning of 2022 affected approximately 500 million people in all countries. The source of infection is the particles of the virus, which, when breathing, talking, and coughing, are...

  • Article
  • Open Access
1 Citations
2,238 Views
16 Pages

Market Demand Optimization Model Based on Information Perception Control

  • Guanghui Yuan,
  • Zhiqiang Liu,
  • Yaqiong Wang and
  • Dongping Pu

3 February 2023

The development of Internet technology and the rise of social networks have expanded the means of product information dissemination. Nowadays, consumers can obtain not only product quality information through real life contacts, but can also obtain p...

  • Article
  • Open Access
5 Citations
2,844 Views
20 Pages

Characteristic, C-Characteristic and Positive Cones in Hyperfields

  • Dawid Edmund Kędzierski,
  • Alessandro Linzi and
  • Hanna Stojałowska

3 February 2023

We study the notions of the positive cone, characteristic and C-characteristic in (Krasner) hyperfields. We demonstrate how these interact in order to produce interesting results in the theory of hyperfields. For instance, we provide a criterion for...

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Mathematics - ISSN 2227-7390