What's MTS

What is the Mahalanobis Taguchi System?

Mahalanobis Taguchi system(MT system )is a highly efficient pattern recognition technology created by Dr. P.C. Mahalanobis and Dr. Genichi Taguchi, and it is being utilized for the same purpose of artificial intelligence (AI) across industries as pattern recognition technologies play key role in the industry 4.0 and AI industry.
MT system is harnessing correlations between independent variables of a normal group samples to classify, diagnose, and forecast patterns of unknown samples. MT system has widely been adopted in various industries for decades and can be applied to almost all the context where we are using data for a decision. The typical applications are preventive maintenance, production control, quality inspection, and detecting and locating root cause in manufacturing industry.

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CONSULTING

How do we work with MT System?

We provide consulting to solve problems with MT system on customer site or on line, and develop customized computing algorithms with R statistical analysis software to meet the purpose of the project.

We solve problems with classifying abnormalities, forecasting outputs, monitoring machine and process status, and identifying root cause with advanced pattern recognition technology of MT system
We develop customized MT system algorithms with R statistical analysis software
Most importantly we develop optimized MT system algorithms quickly to detect root cause and abnormality to solve problems
We create statistical parameters to detect abnormalities from unknown samples
About Service

MT-Runner

The MT-Runner, a collection of computing programs developed at StatSolutions to support Mahalanobis Taguchi System, runs on R statistical analysis software, and was inspired by the two text books pioneered the concept of MT system.

MTシステムにおける技術開発 (品質工学応用講座), 田口 玄一, 日本規格協会, 2002

Quality Recognition and Prediction: Smarter Pattern Technology with the Mahalanobis-Taguchi System, Shoichi Teshima, Yoshiko Hasegawa, Kazuo Tatebayashi ,Momentum Press (New York), 2012.

MT-Runner helps MT system practitioners construct highly reliable unit space, and manage big data efficiently in response to the various conditions of data.

About Service

MT-RUNNER RUNS WITH 3 MAJOR MODULES

MT-Classifier

MT-Classifier computes distances with 6 different algorithms, and creates MAHALANOBIS DISTANCE(MD) plot
code Distance Plot

MT-Evaluator

MT-Evaluator computes SIGNAL-TO - NOISE (SN) gains for each variable, and creates SIGNAL-TO - NOISE (SN) Gain Bar Chart
code Bar Chart

MT-Forecaster

MT-Forecaster estimates values and creates Actual vs. Estimated Plot
code Estimate Plot
MT-Runner

for Mahalanobis Taguchi System

Inspection/Classification

chart

Product inspection and classification with big data created by machine and operator

Forecasting value

chart

Forecasting output (yield, strength, thickness, etc) of a manufacturing process with fewer samples

Locating defect

chart

Detecting and locating defects with digital data on a fast production line

Machine failure monitoring

chart

Machine, robot, facility condition monitoring with sensored data for preventive maintenance

Detecting defects on images

chart

Locating defects on an image with digitally transfered data

Selecting Important variables

chart

Evaluate and select important variables for classification, inspection , and forecasting.

7 Computing Algorithms

of MT-Runner and Its Application

Algorithm Application Function Output
MT
  • Classification
  • K < n
  • Inverse matrix
Computing mahalanobis distance
with correlation between variables
  • Normal group distance
  • Abnormal group distance
  • Correlation matrix
  • Mahalanobis distance plot
MTGS
  • Classification
  • Transformation
  • K < n
  • Avoid multicollinearity
Computing mahalanobis distance
with linearly independent vectors
  • Distance
  • Gram-Schmidts vectors
  • Mahalanobis distance plot
EP
  • Image classification
  • Binary(0, 1)data set
  • K > n
Computing mahalanobis distance
without inverse matrix
  • Normal group distance
  • Abnormal group distance
  • Mahalanobis distance plot
RT
  • Classification
  • Image classification
  • K > n
  • Avoid multicollinarity
Computing mahalanobis distance
with 2 reduced parameters
  • Parameters
  • SN ratio
  • Distance
  • Mahalanobis distance plot
MTA
  • Classification
  • K < n
Computing mahalanobis distance
with an adjoint matrix
  • Normal group distance
  • Abnormal group distance
  • Adjoint matrix
  • Mahalanobis distance plot
PCRT
  • Classification
  • Transformation
  • K < n
  • Avoid multicollinearity
Computing mahalanobis distance with linearly
independent principal components
  • Normal group distance
  • Abnormal group distance
  • Predicted principal components
  • Mahalanobis distance plot
T1
  • Forecasting
  • Numerical estimation of outputs
  • K < n
Forecasting outputs with a unit space
and signal data
  • Numerically forecasted output
  • SN ratio
  • M-hat
  • RSS
  • Actual vs. forecasted plot
  • Individual SN gain graph
3 Step Strategy

for MT system

Classifys unknown samples with higher accuracy after selecting important variables(X) for classification.

step 1

Develop a unit space and verify the effectiveness of the unit space

step 2

Evaluate variables and select important variables

step 3

Verify accuracy with the selected indepenent variables

Detecting, Locating and Displaying Root Cause

MT-Runner specializes in detecting, locating and displaying root cause.

Detecting Abnormal

MT-Runner detects an abnormal wafer in the process of forming 21 thin coating layers on the surface of the wafer at deposition process.

A robot dropped a part while packing parts on line resulted in higher distances from the unit space.

Locating Root Cause

MT–Runner searches abnormal layers with pattern recognition algorithms and indicates variable #11 as a root cause of the defect.

MT-Runner indicates variable X6 and X5 as the two critical root causes of the fail.

Displaying Root Cause

MT-Runner displays actual values of variable #11 to show how the root cause made defect.

MT-Runner displays actual values of variable X6 to show how the values differ from the normal.

Contact Us

Please Feel Free to Contact Us

Meet a powerful pattern recognition technology of MTS, and experience the computing power of MT-Runner for MTS

The two most critical conditions in terms of time to complete a MT system project are time to prepare data and time to customize computing algorithms. In case of we can use well organized existing data saved with csv(comma-seperated value) format, it takes two or three weeks to choose suitable algorithms and to customize the algorithms for computing. However, when data are not available or if we should begin with defining and preparing normal samples to create data, It may take longer time for us to complete a project.

Call to ask any question

226-499-0624

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