Skip to main content

Small Sample Modelling Based on Deep and Broad Forest Regression

Theory and Industrial Application

  • 1st Edition - October 31, 2025
  • Latest edition
  • Authors: Wen Yu, Jian Tang, Junfei Qiao
  • Language: English

Small Sample Modelling Based on Deep and Broad Forest Regression: Theory and Industrial Application delves into tree-structured methods in the industrial sector, encomp… Read more

Description

Small Sample Modelling Based on Deep and Broad Forest Regression: Theory and Industrial Application delves into tree-structured methods in the industrial sector, encompassing classical ensemble learning, tree-structured deep forest classification, and broad learning systems with neural networks. It introduces an innovative deep/broad learning algorithm for small-sample industrial modeling tasks. The book is divided into two parts: methodology and practical application in dioxin emission modeling. Methodology sections include Preliminaries, Deep Forest Regression, Broad Forest Regression, and Fuzzy Forest Regression. The application part focuses on modeling dioxin emissions in municipal solid waste incineration. Throughout, various tree-structured strategies are presented, and the authors provide software systems for validating these methods. This book is suitable for advanced undergraduates, graduate engineering students, and practicing engineers looking for self-study resources.

Key features

  • Introduces a novel deep and broad regression algorithm specifically designed for small sample industrial modeling. It covers Deep Forest Regression for Industrial Modeling, Broad Forest Regression for Industrial Modeling, and Fuzzy Forest Regression for Industrial Modeling
  • Delves into recent results concerning the hot topic of deep and broad learning using non-neuron units for regression and the interpretability of fuzzy trees. These innovative methods are supported by the use of multi-dimensional benchmark data, providing solid confirmation
  • Offers a real application case for industrial modeling by focusing on dioxin emission concentration. This case revolves around a strict controlled environment index of the municipal solid waste incineration (MSWI) process. The book provides offline modeling techniques such as improved deep forest regression and simplified deep forest regression

Readership

Advanced undergraduate students and graduate engineering students

Table of contents

PART I Methods

1. Preliminaries

1.1 Deep forest classification

1.2 Broad learning system

1.3 Decision tree for T-S fuzzy regression


2. Deep Forest Regression for Industrial Modeling

2.1 Basic deep forest regression method

2.2 Deep forest regression based on cross-layer fully connection

2.3 Simulation results

2.4 Conclusions


3. Broad Forest Regression for Industrial Modeling

3.1 Static broad forest regression method

3.2 Broad forest regression with increment learning

3.3 Simulation results

3.4 Conclusion


4. Fuzzy Forest Regression for Industrial Modeling

4.1 Fuzzy regression tree method

4.2 Fuzzy forest regression method

4.3 Time complexity analysis

4.4 Simulation results

4.5 Conclusion

PART II Application to Dioxin Emission Modeling

5. Deep Forest Regression Based on Feature Reduction and Feature Enhancement

5.1 Method strategy

5.2 Method implementation

5.3 Simulation results

5.4 Conclusion


6. Simplified Deep Forest Regression with Combined Feature Selection and Residual Error Fitting

6.1 Method strategy

6.2 Method implementation

6.3 Simulation results

6.4 Conclusion


7. Online Fuzzy Broad Forest Regression

7.1 Method strategy

7.2 Method implementation

7.3 Experimental Results

7.4 Conclusion References Appendix

Product details

  • Edition: 1
  • Latest edition
  • Published: October 31, 2025
  • Language: English

About the authors

WY

Wen Yu

Wen Yu (Fellow, IEEE) received the Ph.D. degrees in electrical engineering from Northeastern University, Shenyang, China. In past he served at Department of Automatic Control, Northeastern University, National Polytechnic Institute (CINVESTAV-IPN), Mexico City, Mexico, Instituto Mexicano del Petroleo, Queen’s University Belfast, U.K., and the University of California at Santa Cruz. He also holds a visiting professorship with Northeastern University, China. Dr. Yu is a member of the Mexican Academy of Sciences.

Affiliations and expertise
National Polytechnic Institute (CINVESTAV-IPN), Mexico City, Mexico

JT

Jian Tang

Jian Tang received the Ph.D. degree from North-eastern University, Shenyang, China, in 2012. He is currently a Professor at Beijing University of Technology and Deputy Director of Beijing Laboratory of Smart Environmental Protection. His current research interests include machine learning based on small sample data, intelligent modelling and control of complex industrial processes, digital twin system of municipal solid waste incineration process.

Affiliations and expertise
Beijing University of Technology

JQ

Junfei Qiao

Junfei Qiao received B.S. and M.S. degrees in control engineering from Liaoning Technical University, China, in 1992 and 1995, respectively, and a Ph.D. degree in control theory and control engineering from Northeastern University, China, in 1998. He is currently a Professor with the Faculty of Information Technology, Beijing University of Technology, China. His current research interests include neural networks, intelligent systems, and modeling and optimal control of complex industrial processes.
Affiliations and expertise
Beijing University of Technology, China

View book on ScienceDirect

Read Small Sample Modelling Based on Deep and Broad Forest Regression on ScienceDirect