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Author:

Wang, Gongming (Wang, Gongming.) | Yuan, Guanghui (Yuan, Guanghui.) | Hu, Zhiqiang (Hu, Zhiqiang.) | Chi, Yuanying (Chi, Yuanying.) (Scholars:迟远英) | Jia, Qing-Shan (Jia, Qing-Shan.) | Qiao, Junfei (Qiao, Junfei.)

Indexed by:

EI Scopus SCIE

Abstract:

Deep belief network (DBN) is an effective deep learning model, which can learn the complex data by extracting features hierarchically. However, the successful application of DBN depends on the suitable size of the structure (the number of hidden neurons), which is still an open problem. Currently, the network structure size is basically determined by experience with a time-consuming process. In this article, a complexity-based structural optimization (CBSO) algorithm, based on multiobjective ordinal optimization (MOO), is developed for designing the DBN structure. First, the problem formulation of structural optimization of DBN is given, where the multiple objectives are to minimize the fitting error and complexity. Second, the lower bound for alignment probability in optimizing DBN structure is developed according to MOO. Finally, an effective method to maximize the probability of correct select is given to pursue the good tradeoff between the complexity and the performance. The performance of proposed CBSO algorithm is demonstrated via predicting and controlling water quality of wastewater treatment process (WWTP) using the CBSO-DBN-based model predictive control (MPC) strategy. The simulation results show that the resulting CBSO-DBN can find the better structure design by using CBSO algorithm with smaller fitting error and limited computational complexity, and thereby achieve the better performance in WWTP than its peers. Especially, the CBSO-DBN-MPC improves the control accuracy by 76.16% and computational complexity by 50.45%, respectively.

Keyword:

Deep belief network (DBN) multiobjective ordinal optimization (MOO) Random variables Process control structure design Wastewater treatment Training probability of correct selection (PCS) Informatics Neurons Optimization wastewater treatment process (WWTP)

Author Community:

  • [ 1 ] [Wang, Gongming]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China
  • [ 2 ] [Qiao, Junfei]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China
  • [ 3 ] [Yuan, Guanghui]Youcaiyongyong IT Co Ltd, Rizhao Ecommerce Ind Pk, Rizhao 276801, Peoples R China
  • [ 4 ] [Hu, Zhiqiang]Taishan Univ, Coll Mech & Architectural Engn, Tai An 271000, Peoples R China
  • [ 5 ] [Chi, Yuanying]Beijing Univ Technol, Sch Econ & Management, Beijing 100124, Peoples R China
  • [ 6 ] [Jia, Qing-Shan]Tsinghua Univ, Ctr Intelligent & Networked Syst CFINS, Dept Automat, BNRist, Beijing 100084, Peoples R China

Reprint Author's Address:

  • 迟远英

    [Wang, Gongming]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China;;[Chi, Yuanying]Beijing Univ Technol, Sch Econ & Management, Beijing 100124, Peoples R China

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Source :

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS

ISSN: 1551-3203

Year: 2024

Issue: 4

Volume: 20

Page: 6974-6982

1 2 . 3 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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