Category: 7. Maths

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  • Analysis of hybrid fractional integro-differential equations with application to cholera dynamics

    Analysis of hybrid fractional integro-differential equations with application to cholera dynamics

    This section is dedicated to establishing the existence theorem based on Dhage’s theory (Lemma 2). Before that, we focus on the following auxiliary lemma that will be the cornerstone of the solution to the problem (2).

    Lemma 3

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  • Enhanced intrusion detection in cybersecurity through dimensionality reduction and explainable artificial intelligence

    Enhanced intrusion detection in cybersecurity through dimensionality reduction and explainable artificial intelligence

    In this study, the EIDCDR-XAIADL model is proposed. The main intention of the proposed EIDCDR-XAIADL model is to deliver a robust cybersecurity system that combines XAI to address the attacks. The EIDCDR-XAIADL approach has data normalization,…

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  • Enhancing performance of E-Government information systems with SSD-based Hadoop mapreduce

    Enhancing performance of E-Government information systems with SSD-based Hadoop mapreduce

    In the traditional Hadoop MapReduce framework, the shuffle phase begins after the map tasks generate intermediate key-value (< K, V>) pairs. These pairs are initially buffered in memory. Once the memory buffer reaches a predefined threshold,…

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  • Estimating the peak age of chess players through statistical and machine learning techniques

    Estimating the peak age of chess players through statistical and machine learning techniques

    According to the January 2024 ELO list published by FIDE, there are 1,814 players worldwide holding the GM title. Of these, 38 players fall within the super GM category, although historically, 131 players have surpassed the 2,700 ELO threshold….

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  • Enhancing software effort estimation with random forest tuning and adaptive decision strategies

    Enhancing software effort estimation with random forest tuning and adaptive decision strategies

    During training, random forests (RF) generate a large number of individual decision trees. In order to arrive at the final prediction, the mean prediction for regression or the mode of the classes for classification is computed by aggregating the…

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  • Constrained coding for error mitigation in nanopore-based DNA data storage

    Constrained coding for error mitigation in nanopore-based DNA data storage

    In this section, we will discuss the construction of the proposed constrained codes, as well as the encoding and decoding processes. An overview of the data storage system is shown in Fig 3. The figure shows both a Core Pipeline focused on the…

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  • A two-stage joint model approach to handle incomplete time dependent markers in survival data through inverse probability weight and multiple imputation

    A two-stage joint model approach to handle incomplete time dependent markers in survival data through inverse probability weight and multiple imputation

    Let \(Y_{ij}\) denote the observed biomarker measurement for the i-th individual at time \(t_{ij}\), where \(i = 1, \dots , n\) represents the individuals in the dataset, and \(j = 1, \dots , n_i\) represents the time points for repeated…

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  • Predicting system dynamics of pervasive growth patterns in complex systems

    Predicting system dynamics of pervasive growth patterns in complex systems

    A sigmoidal curve is defined by three key parameters: inflection point, slope, and amplitude. Here, we show that the evolution of the fitted parameters provides a clear understanding of the current state of activity and can make reliable…

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