# How Can Lean Six Sigma Help Machine Learning?

The data cleansing phase alone is not sufficient to ensure the accuracy of the machine learning, when noise / bias exists in input data. The lean six sigma variance reduction can improve the accuracy of machine learning results.

**By Joseph Chen, Senior Management and Architect in BI, Data Warehouse, Six Sigma, and Operations Research**.

### Introduction

I have been using Lean Six Sigma (LSS) to improve business processes for the past 10+ year and am very satisfied with its benefits. Recently, I’ve been working with a consulting firm and a software vendor to implement a machine learning (ML) model to predict remaining useful life (RUL) of service parts. The result which I feel most frustrated is the low accuracy of the resulting model. As shown below, if people measure the deviation as the absolute difference between the actual part life and the predicted one, the resulting model has 127, 60, and 36 days of average deviation for the selected 3 parts. I could not understand why the deviations are so large with machine learning.

After working with the consultants and data scientists, it appears that they can improve the deviation only by 10% through data cleansing. This puzzles me a lot. To me, such deviation, even after the 10% improvement, still renders the forecast useless to the business owners. This forces me to ask myself the following questions:

- Is machine learning really a good forecasting tool?
- What do people NOT know about machine learning?
- What is missing in machine learning? Can lean six sigma fill the missing gap?

### Lean Six Sigma

The objective of the Lean Six Sigma (LSS) is to improve process performance by reducing its variance. The variance is defined as the sum squared errors (differences) between the LSS actual and forecast measures. The result of the LSS essentially is a statistical function (model) between a set of input / independent variables and the output / dependent variable(s), as show in the chart below.

By identifying the correlations between the input and output variables, the LSS model tells us how we can control the input variables in order to move the output variable(s) into our target values. Most importantly, LSS also requires the monitored process to be “stable”, i.e., minimizing the output variable variance, by minimizing the input variable variance, in order to achieve the so called “breakthrough” state.

As the chart below shows, if you get to your target (center) alone without variance control (the spread around the target in the left chart), there is no guarantee about the target you have achieved; if you reduce the variance without getting to the target (right chart), you miss your target. Only by keeping the variance small and center, LSS is able to ensure the process target is reached with precise precision and with a sustainable and optimal process performance. This is the major contribution of LSS.

### Machine Learning (ML)

For supervised machine learning, it looks at a function between a set of input variables and output variable(s) to come up with an “approximation” of the ideal function, as shown by the green curve below.

Similarly, for unsupervised machine learning, it looks for a function which best differentiate a set of clusters.

### Comparison between LSS and ML

It is well known that, due to bias and normal randomness, a process is subject to be random in nature; i.e., a process with variance. Therefore, both classical statistics and LSS have shown that, if input variables have large variance, we would expect large variance of the output variable(s).

*If Y=a _{1}x_{1}+a_{2}x_{2}+...+a_{n}x_{n}, Var(Y)=a_{1}^{2}Var(x_{1})+a_{2}^{2}Var(x_{2})+...+a_{n}^{2}Var(x_{n})*.

This would strongly suggest the inaccuracy of the machine learning model, when input variables have large variance. This is why, I think, my recent machine learning project has such large inaccuracy in its prediction, and also the reason why the data cleansing can improve the accuracy only up to 10%.

People may argue that the data cleansing can improve the quality of prediction. Well, the problem is that the data cleansing of ML is not the same as the variance reduction of LSS. In LSS, people would go back to examine the business process to find the source of variance of the input variables in order to eliminate the bias or reduce the variance of those input variables (factors), whereas, in ML, people do not go back to revisit the business process; instead, people in ML only try to correct data errors or eliminate data which do not make sense. As a result, such data cleansing approach does not actually reduce variance; actually, it may not change the input variance at all. Therefore, the ML model is not expected to work well, if people do not understand the role of variance.

As an example, if the left chart below represents the data points after data cleansing, we would get the red curve as the optimal ML. But, if the right chart below represents the data points after variance reduction, the resulting ML model would be much accurate.

In summary, I think the current data cleansing of ML model needs to include the variance reduction technique of LSS in order to have an accurate, reliable, and effective model for both supervised and unsupervised learning. People need to spend effort to review underlying business process to reduce input variance to make it work better for real world problems.

Software vendors and data science consulting firms should embrace the variance reduction technique in the data cleansing phase of ML to deliver real value of ML.

**Bio: Joseph Chen** is a Six Sigma Black Belt, and a Principal Architect in Data Science, Business Intelligence, and Data Warehouse. He has degrees in Operations Research, Information Science, and Industrial Engineering. He has over 18 years of working experience in the areas of advanced analytics, business intelligence, data warehouse, lean six sigma, process optimization, operations analysis, and others.

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