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Data on the Construction Processes of Regression Models

Version 2 2023-03-01, 06:55
Version 1 2023-02-27, 08:06
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posted on 2023-03-01, 06:55 authored by Taichi Kimura, Riko Iwamoto, Mikio Yoshida, Tatsuya Takahashi, Shuji Sasabe, Yoshiyuki Shirakawa
<p>This CSV dataset (numbered 1–8) demonstrates the construction processes of the regression models using machine learning methods, which are used to plot<strong> Fig. 2–7</strong>. The CSV file of 1.LSM_R^2 (plotting <strong>Fig. 2</strong>) shows the data of the relationship between estimated values and actual values when the least-squares method was used for a model construction. In the CSV file 2.PCR_R^2 (plotting <strong>Fig. 3</strong>), the number of the principal components was varied from 1 to 5 during the construction of a model using the principal component regression. The data in the CSV file 3.SVR_R^2 (plotting <strong>Fig. 4</strong>) is the result of the construction using the support vector regression. The hyperparameters were decided by the comprehensive combination from the listed candidates by exploring hyperparameters with maximum <em>R</em><sup>2</sup> values. When a deep neural network was applied to the construction of a regression model, <em>N</em><sub>Neur.</sub>, <em>N</em><sub>H.L.</sub> and <em>N</em><sub>L.T.</sub> were varied. The CSV file 4.DNN_HL (plotting <strong>Fig. 5a)</strong>) shows the changes in the relationship between estimated values and actual values at each  <em>N</em><sub>H.L.</sub>. Similarly, changes in the relationships between estimated values and actual values in the case <em>N</em><sub>Neur.</sub> or <em>N</em><sub>L.T. </sub>were varied in the CSV files 5.DNN_ Neur  (plotting <strong>Fig. 5b)</strong>) and 6.DNN_LT (plotting <strong>Fig. 5c)</strong>). The data in the CSV file 7.DNN_R^2 (plotting <strong>Fig. 6</strong>) is the result using optimal <em>N</em><sub>Neur.</sub>, <em>N</em><sub>H.L.</sub> and <em>N</em><sub>L.T.</sub>. In the CSV file 8.R^2 (plotting <strong>Fig. 7</strong>), the validity of each machine learning method was compared by showing the optimal results for each method.</p> <p><u>Experimental conditions</u><br> Supply volume of the raw material: 25–125 mL<br> Addition rate of TiO<sub>2</sub>: 5.0–15.0 wt%<br> Operation time: 1–15 min<br> Rotation speed: 2,200–5,700 min-1<br> Temperature: 295–319 K<br> <u>Nomenclature</u><br> <em>N</em><sub>Neur.</sub>: the number of neurons<br> <em>N</em><sub>H.L.</sub>: the number of hidden layers<br> <em>N</em><sub>L.T.</sub>: the number of learning times</p>

Funding

Hosokawa Powder Technology Foundation

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Corresponding author email address

yshiraka@mail.doshisha.ac.jp

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© 2023 The Author(s)

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