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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
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Hybrid ANFIS-MPA and FFNN-MPA Models for Bitcoin Price Forecasting.

Ceren Baştemur Kaya1, Ebubekir Kaya2,3, Eyüp Sıramkaya2

  • 1Department of Computer Technologies, Nevşehir Vocational School, Nevşehir Hacı Bektaş Veli University, Nevşehir 50100, Türkiye.

Biomimetics (Basel, Switzerland)
|December 24, 2025
PubMed
Summary

This study introduces hybrid forecasting models using the Marine Predators Algorithm (MPA) with Adaptive Neuro-Fuzzy Inference Systems (ANFIS) and Feed-Forward Neural Networks (FFNN) for Bitcoin price prediction, showing improved accuracy and stability.

Keywords:
adaptive neuro-fuzzy inference systembitcoin price forecastingfeed-forward neural networkhybrid optimizationmarine predators algorithmmetaheuristic algorithmsswarm intelligencetime series analysis

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Area of Science:

  • Computational intelligence
  • Financial forecasting
  • Time series analysis

Background:

  • Accurate short-term Bitcoin price prediction remains challenging.
  • Existing forecasting models often struggle with the volatility of cryptocurrency markets.
  • Optimization algorithms are crucial for training complex predictive models.

Purpose of the Study:

  • To develop and evaluate hybrid forecasting models for short-term Bitcoin price prediction.
  • To integrate the Marine Predators Algorithm (MPA) with Adaptive Neuro-Fuzzy Inference Systems (ANFIS) and Feed-Forward Neural Networks (FFNN).
  • To compare the performance of MPA-enhanced models against other metaheuristic algorithms.

Main Methods:

  • Daily Bitcoin price data from 2022 was utilized.
  • Data was transformed into supervised time-series structures with various input configurations.
  • Two hybrid models, ANFIS-MPA and FFNN-MPA, were developed and tested.
  • Performance was evaluated against six established metaheuristic training algorithms.

Main Results:

  • MPA demonstrated superior performance, achieving lower prediction errors and faster convergence.
  • The hybrid ANFIS-MPA and FFNN-MPA models consistently outperformed baseline algorithms.
  • Models showed reliable performance across different complexities and robust, reproducible results with low variance.

Conclusions:

  • The Marine Predators Algorithm is an effective optimizer for neuro-fuzzy and neural network models in financial time-series forecasting.
  • Hybrid models integrating MPA offer enhanced predictive accuracy and stability for Bitcoin price prediction.
  • The proposed ANFIS-MPA and FFNN-MPA approaches represent a significant advancement in financial forecasting techniques.