Related Experiment Video
Updated: Jan 10, 2026

13:51
Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
20.4K
Weighted minimum variance based on-line performance assessment of multivariate processes: A data-driven approach
Xu-Teng Shi1, Chun-Qing Huang1
1Department of Automation, Xiamen University, Xiamen City 361005, China.
ISA Transactions
|November 26, 2025
Summary
This study introduces a data-driven method for on-line performance assessment in multivariate processes, eliminating the need for prior process knowledge. The approach enables direct estimation of the weighted minimum variance benchmark from routine operating data.
Area of Science:
- Process Control
- Industrial Automation
- Data-Driven Modeling
Background:
- Traditional minimum variance benchmarking lacks on-line applicability in industrial settings due to insufficient process knowledge from routine data.
- Existing methods often require significant prior process knowledge, hindering real-time industrial implementation.
Purpose of the Study:
- To develop a data-driven approach for on-line performance assessment of multivariate processes without prior knowledge.
- To propose a practical scheme for on-line benchmark estimation when prior process knowledge is available.
- To validate the proposed methods using a case study.
Main Methods:
- Directly estimating the weighted minimum variance benchmark from closed-loop output data under routine operating conditions.
- Utilizing the normalizability of the first non-zero impulse response coefficient for benchmark estimation when process knowledge is available.
- Applying the methods to the "Shell" heavy oil fractionator for verification.
Main Results:
- Successful on-line estimation of benchmarks/indices for multivariate processes.
- Demonstrated effectiveness in reducing estimation errors and time costs for on-line updates.
- Validation of the data-driven approach's applicability in industrial scenarios.
Conclusions:
- The proposed data-driven approach enables effective on-line performance assessment for multivariate processes, even without prior knowledge.
- The method offers a practical solution for industrial implementation, improving efficiency and accuracy.
- The study successfully verified the approach's effectiveness on a real-world industrial case study.
Related Concept Videos
Regression Toward the Mean
6.8K
Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
6.8K
Multi-input and Multi-variable systems
376
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
In the absence of...
376
Multiple Regression
3.7K
Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
3.7K
Variability: Analysis
427
Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
The range is a simple measure of variability, indicating the difference between the highest and...
The range is a simple measure of variability, indicating the difference between the highest and...
427
Variation
7.7K
An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
7.7K
Mean Absolute Deviation
3.3K
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
3.3K

