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Article | Open Access

Deep Learning-Based Inverse Design: Exploring Latent Space Information for Geometric Structure Optimization

Nguyen Dong Phuong1Nanthakumar Srivilliputtur Subbiah1Yabin Jin2Xiaoying Zhuang1,3 ( )
Institute of Photonics, Leibniz University Hannover, Welfengarten 1A, Hannover, 30167, Germany
Institute for Interdisciplinary Research of Computational Mechanics and Artificial Intelligence, Fudan University, Shanghai, 200437, China
Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai, 200092, China
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Abstract

Traditional inverse neural network (INN) approaches for inverse design typically require auxiliary feedforward networks, leading to increased computational complexity and architectural dependencies. This study introduces a standalone INN methodology that eliminates the need for feedforward networks while maintaining high reconstruction accuracy. The approach integrates Principal Component Analysis (PCA) and Partial Least Squares (PLS) for optimized feature space learning, enabling the standalone INN to effectively capture bidirectional mappings between geometric parameters and mechanical properties. Validation using established numerical datasets demonstrates that the standalone INN architecture achieves reconstruction accuracy equal or better than traditional tandem approaches while completely eliminating the workload and training time required for Feedforward Neural Networks (FNN). These findings contribute to AI methodology development by proving that standalone invertible architectures can achieve comparable performance to complex hybrid systems with significantly improved computational efficiency.

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Computer Modeling in Engineering & Sciences
Pages 263-303

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Cite this article:
Phuong ND, Subbiah NS, Jin Y, et al. Deep Learning-Based Inverse Design: Exploring Latent Space Information for Geometric Structure Optimization. Computer Modeling in Engineering & Sciences, 2025, 145(1): 263-303. https://doi.org/10.32604/cmes.2025.067100

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Received: 25 April 2025
Accepted: 06 August 2025
Published: 30 October 2025
© The Author 2024.

This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.