Estimation of the result of the empirical research with machine learning tools (part 1)

 Part one: preliminary graphical analysis to research of coefficients dependence 

Machine learning tools

Thanks using predictive and classification models for the area of machine learning tools is possible significant decrease cost of the verification laboratory research.

Costs of empirical verification are counted to the Technical cost of production. In production of some chemical active substantiation is necessary to lead laboratory empirical classification to allocate product to separated class of quality.

This research can turn out very expensive.  In the case of short runs of production, cost of this classification can make all production unprofitable.

With the help can come machine learning tools, who can replace expensive laboratory investigation by theoretical judgment.

Application of effective prediction model can decrease necessity of costly empirical research to the reasonable minimum.

Manual classification would be made in special situation where mode would be ineffective or in case of checking process by random testing.

Case study: laboratory classification of active chemical substance Poliaxid

We will now follow process of making model of machine learning based on the classification by the Random Forest method. Chemical plant produces small amounts expensive chemical substance named Poliaxid. This substance must meet very rigorous quality requirements. For each charge have to pass special laboratory verification. This empirical trials are expensive and long-lasting. Their cost significantly influence on the overall cost of production. Process of Poliaxid production is monitored by many gauges. Computer save eleven variables such trace contents of some chemical substances, acidity and density of the substance. There are remarked the level of some of the collected coefficients have relationship with result of the end quality classification. Cause of effect relationship drive to the conclusion — it is possible to create classification model to explain overall process. In this case study we use base, able to download from this address: source

This base contains results of 1593 trials and eleven coefficients saved during the process for each of the trial.

import pandas as pd
import numpy as np

df = pd.read_csv('c:/2/poliaxid.csv', index_col=0)
del df['nr.']
df.head(5)

In the last column named: “quality class” we can find results of the laboratory classification.

Classes 1 and 0 mean the best quality of the substance. Results 2, 3 and 4 means the worst quality.

Before we start make machine learning model we ought to look at the data. We do it thanks matrix plots. These plots show us which coefficient is good predictor, display overall dependencies between exogenic and endogenic ratios.

Graphical analysis to research of coefficients dependence

The action that should precede the construction of the model should be graphical overview.

In this way we obtain information whether model is possible to do.

First we ought to divide results from result column: “quality class” in to two categories: 'First' and 'Second'.

df['Qual_G'] = df['quality class'].apply(lambda x: 'First' if x < 2 else 'Second')
df.sample(3)

At the end of table appear new column: "Qual_G".

Now we create vector of correlation between independent coefficients and result factor in column: 'quality class'.

CORREL = df.corr().sort_values('quality class')
CORREL['quality class']

Correlation vector points significant influences exogenic factors on the results of empirical classification.

We chose most effective predictors among all eleven variables. We put this variables in to the matrix correlation plot.

This matrix plot contain two colors. Blue dots means firs quality. Thanks to this all dependencies is clearly displayed.

import seaborn as sns

sns.pairplot(data=df[['factorB', 'citric catoda','sulfur in nodinol', 'noracid', 'lacapon','Qual_G']], hue='Qual_G', dropna=True)

Matrix display clearly patterns of dependencies between variables. Easily see part of coefficients have significant impact on the classification the first or second quality class.

Dichotomic division is good to display dependencies. Let's see what happen when we use division for 5 class of quality. We use this classes that was made by laboratory. We took only two most effective predictors. Despite this plot is illegible.

In the next part of this letter we use machine learning tools to make theoretical classification.

Next part:

Estimation of the result of the empirical research with machine learning tools (part 2)