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AppliedMath, Volume 4, Issue 3

September 2024 - 21 articles

Cover Story: Most optimisation research focuses on simple cases: one decision-maker, one objective and a set of constraints. However, real-world optimisation problems might be multi-objective, multi-agent, multi-stage or multi-level, involving partial knowledge, uncertainty and decision-dependent distributions. We define a broad class of discrete optimisation problems called an Influence Program, and a solver based on multi-agent multi-objective reinforcement learning with sampling. We model and solve a range of problems spanning stochastic programming, game theory, influence diagrams, Bayesian networks and constraint programming. View this paper
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Articles (21)

  • Article
  • Open Access
4 Citations
1,543 Views
11 Pages

18 September 2024

The two-parameter logistic (2PL) item response theory (IRT) model is frequently applied to analyze group differences for multivariate binary random variables. The item parameters in the 2PL model are frequently fixed when estimating the mean and the...

  • Article
  • Open Access
1,472 Views
19 Pages

9 September 2024

This paper introduces the Accumulated Concept Graph (ACG), a visualization tool based on the quantile method designed to analyze three-way data, including distributional data. Such data often have complex structures that make it difficult to identify...

  • Article
  • Open Access
2 Citations
1,908 Views
19 Pages

6 September 2024

In this paper, an innovative hybrid technique is proposed for the efficient training of artificial neural networks, which are used both in class learning problems and in data fitting problems. This hybrid technique combines the well-tested technique...

  • Review
  • Open Access
1 Citations
1,593 Views
15 Pages

Two P or Not Two P: Mendel Random Variables in Combining Fake and Genuine p-Values

  • M. Fátima Brilhante,
  • M. Ivette Gomes,
  • Sandra Mendonça,
  • Dinis Pestana and
  • Rui Santos

5 September 2024

The classical tests for combining p-values use suitable statistics T(P1,…,Pn), which are based on the assumption that the observed p-values are genuine, i.e., under null hypotheses, are observations from independent and identically distributed...

  • Review
  • Open Access
4 Citations
7,625 Views
30 Pages

3 September 2024

Magnetic resonance imaging (MRI) is crucial for its superior soft tissue contrast and high spatial resolution. Integrating deep learning algorithms into MRI reconstruction has significantly enhanced image quality and efficiency. This paper provides a...

  • Article
  • Open Access
4,971 Views
18 Pages

2 September 2024

This article provides an exact formula for the survival probability of Brownian motion with drift when the absorbing boundary is defined as an intermittent step barrier, i.e., an alternate sequence of time intervals when the boundary is piecewise con...

  • Article
  • Open Access
3 Citations
9,635 Views
15 Pages

2 September 2024

Cancer, a complex disease characterized by uncontrolled cell growth and metastasis, remains a formidable challenge to global health. Mathematical modeling has emerged as a critical tool to elucidate the underlying biological mechanisms driving tumor...

  • Article
  • Open Access
2,454 Views
18 Pages

27 August 2024

This work considers the existence of solutions of the heteroclinic type in nonlinear second-order differential equations with ϕ-Laplacians, incorporating generalized impulsive conditions on the real line. For the construction of the results, it...

  • Article
  • Open Access
1 Citations
1,475 Views
35 Pages

Exploring Price Patterns of Vegetables with Recurrence Quantification Analysis

  • Sofia Karakasidou,
  • Athanasios Fragkou,
  • Loukas Zachilas and
  • Theodoros Karakasidis

26 August 2024

This study investigates the time-series behavior of vegetable prices in the Central Market of Thessaloniki, Greece, using Recurrence Plot (RP) analysis and Recurrence Quantification Analysis (RQA), which considers non-linearities and does not necessi...

  • Article
  • Open Access
2,866 Views
13 Pages

Mathematical Perspectives on Consumer Spending during a Financial Crisis

  • Tichaona Chikore,
  • Farai Nyabadza and
  • Maria Shaale

26 August 2024

This paper explores the mathematical dynamics of consumer spending during a financial crisis using opponent process theory (OPT). Traditionally applied in psychology, OPT explains how initial emotional responses are followed by counteracting reaction...

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AppliedMath - ISSN 2673-9909