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Mathematics, Volume 13, Issue 10

2025 May-2 - 153 articles

Cover Story: Transforming a bi-dimensional set of image pixels into mono-dimensional sequences using Peano scan is an established technique that enables the use of hidden Markov chains for unsupervised image segmentation. However, this transformation causes a loss of information. To mitigate this loss and to compete with hidden Markov fields, we introduce contextual Peano scan and present some initial experiments showing the value of the associated model in image segmentation. Moreover, hidden Markov chains have been extended to hidden evidential Markov chains. Thus, we introduce a new model by simultaneously considering contextual Peano scan and hidden evidential Markov chains. We show its effectiveness for Bayesian maximum posterior mode segmentation using synthetic and real images. View this paper
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Articles (153)

  • Article
  • Open Access
1,424 Views
22 Pages

21 May 2025

The Shanghai Containerized Freight Index (SCFI) and Ningbo Containerized Freight Index (NCFI) serve as crucial indicators for management and decision-making in China’s shipping industry. This study proposes a novel real-time rolling decompositi...

  • Feature Paper
  • Article
  • Open Access
1,336 Views
15 Pages

21 May 2025

The significance of searching for edge crossings in graph theory lies inter alia in enhancing the clarity and readability of graph representations, which is essential for various applications such as network visualization, circuit design, and data re...

  • Article
  • Open Access
1,864 Views
10 Pages

21 May 2025

Portfolio optimization is a fundamental problem in financial theory, aiming to balance risk and return in asset allocation. Traditional models, such as Mean–Variance optimization, are effective, but often fail to account for diversification ade...

  • Article
  • Open Access
1 Citations
1,297 Views
28 Pages

21 May 2025

Environmental transmission is a critical driver of cholera dynamics and a key factor influencing model-based inference and forecasting. This study focuses on stable parameter estimation and forecasting of cholera outbreaks using a compartmental SIRB...

  • Article
  • Open Access
625 Views
22 Pages

Interpretable Process Monitoring Using Data-Driven Fuzzy-Based Models for Wastewater Treatment Plants

  • Rodrigo Salles,
  • Miguel Proença,
  • Rui Araújo,
  • Jorge S. S. Júnior and
  • Jérôme Mendes

21 May 2025

Digital transformation of industry has gained emphasis in recent years in academia and industry. Organizations need to be more competitive and efficient and improve their processes and performance to cope with changes in environmental legislation, ef...

  • Article
  • Open Access
1 Citations
2,068 Views
15 Pages

21 May 2025

Several attacks on the well-known RSA cryptosystem that can be extended to a multi-prime version of RSA reveal that it is preferable to use the modulus having more prime factors. On the contrary, the larger the number of prime factors of the modulus,...

  • Article
  • Open Access
955 Views
10 Pages

Revisiting Some Relationships Between the Weighted Spectral Mean and the Wasserstein Mean

  • Minh Thanh Duong,
  • Anh Vu Le,
  • Cong Trinh Le and
  • Trung Hoa Dinh

21 May 2025

In this paper, we introduce the 2-geometric mean and explore its connections with the spectral geometric mean and the Wasserstein mean for positive definite matrices. Additionally, we revisit and establish several inequalities involving these means i...

  • Feature Paper
  • Article
  • Open Access
671 Views
11 Pages

21 May 2025

In this study, we research the univariate quantitative symmetrized approximation of complex-valued continuous functions on a compact interval by complex-valued symmetrized and perturbed neural network operators. These approximations are derived by es...

  • Article
  • Open Access
1,280 Views
44 Pages

21 May 2025

Recently, many stochastic Alternating Direction Methods of Multipliers (ADMMs) have been proposed to solve large-scale machine learning problems. However, for large-scale saddle-point problems, the state-of-the-art (SOTA) stochastic ADMMs still have...

  • Article
  • Open Access
847 Views
28 Pages

21 May 2025

Edge computing refers to provision storage and computation resources at the network edge, closer to end users than the remote cloud. In such edge–cloud computing environments, many cloud providers intend to offload cloud services to the edge no...

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Mathematics - ISSN 2227-7390