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Autores principales: Wang, Shaoqi, Yang, Chunjie, Lou, Siwei
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2409.15393
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author Wang, Shaoqi
Yang, Chunjie
Lou, Siwei
author_facet Wang, Shaoqi
Yang, Chunjie
Lou, Siwei
contents Neural networks (NN) are extensively studied in cutting-edge soft sensor models due to their feature extraction and function approximation capabilities. Current research into network-based methods primarily focuses on models' offline accuracy. Notably, in industrial soft sensor context, online optimizing stability and interpretability are prioritized, followed by accuracy. This requires a clearer understanding of network's training process. To bridge this gap, we propose a novel NN named the Approximated Orthogonal Projection Unit (AOPU) which has solid mathematical basis and presents superior training stability. AOPU truncates the gradient backpropagation at dual parameters, optimizes the trackable parameters updates, and enhances the robustness of training. We further prove that AOPU attains minimum variance estimation (MVE) in NN, wherein the truncated gradient approximates the natural gradient (NG). Empirical results on two chemical process datasets clearly show that AOPU outperforms other models in achieving stable convergence, marking a significant advancement in soft sensor field.
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spellingShingle Approximated Orthogonal Projection Unit: Stabilizing Regression Network Training Using Natural Gradient
Wang, Shaoqi
Yang, Chunjie
Lou, Siwei
Machine Learning
Artificial Intelligence
Neural networks (NN) are extensively studied in cutting-edge soft sensor models due to their feature extraction and function approximation capabilities. Current research into network-based methods primarily focuses on models' offline accuracy. Notably, in industrial soft sensor context, online optimizing stability and interpretability are prioritized, followed by accuracy. This requires a clearer understanding of network's training process. To bridge this gap, we propose a novel NN named the Approximated Orthogonal Projection Unit (AOPU) which has solid mathematical basis and presents superior training stability. AOPU truncates the gradient backpropagation at dual parameters, optimizes the trackable parameters updates, and enhances the robustness of training. We further prove that AOPU attains minimum variance estimation (MVE) in NN, wherein the truncated gradient approximates the natural gradient (NG). Empirical results on two chemical process datasets clearly show that AOPU outperforms other models in achieving stable convergence, marking a significant advancement in soft sensor field.
title Approximated Orthogonal Projection Unit: Stabilizing Regression Network Training Using Natural Gradient
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2409.15393