基于对抗机制与正交约束的自编码器图像重建OA
Autoencoder for image reconstruction based on adversarial training and orthogonal constraints
主正交潜在成分分析网络(Principal Orthogonal Latent Components Analysis Net,POLCA Net)作为一类面向结构化表示学习的自编码器扩展方法,通过整合分类监督与正交约束、方差约束等机制,实现了潜在成分的有序化与正交化,在降维、特征提取任务中表现突出.然而 POLCA Net 确定性的编码过程,无法对数据分布的不确定性进行有效建模,且其联合损失函数一定程度上抑制了潜在空间对高频信息的表达能力,最终在图像重建任务中难以保证较高的重建质量.为解决上述问题,提出了一种融合对抗训练与正交约束的自编码器算法及框架—GAN-POLCA(Generative Adversarial Network in Principal Orthogonal Latent Components Analysis).在保留 POLCA Net 原有约束机制的基础上,引入了生成对抗损失,通过生成器与判别器的对抗训练机制构建多约束协同的深度生成模型.在三个真实数据集上的实验结果表明,GAN-POLCA 在损失函数收敛速率与稳态值方面均优于 PCA(Principal Components Analysis)与 POLCA Net,图像重建性能得到有效提升,充分验证了该算法及框架的优越性.
The Principal Orthogonal Latent Component Analysis Network(POLCA Net)was an autoencoder-based extension method for structured representation learning.By integrating classification supervision,orthogonality constraints,and variance constraints,it achieved ordered and mutually orthogonal latent components,thus demonstrating remarkable advantages in dimensionality reduction and feature extraction.However,due to the deterministic encoding process of POLCA Net,it could not effectively model the uncertainty of data distribution.Moreover,its joint loss function inhibited the latent space's ability to express high-frequency information,ultimately making it difficult to ensure high reconstruction quality in image reconstruction tasks.This study proposed an autoencoder algorithm and framework integrating adversarial training and orthogonality constraints,named GAN-POLCA(Generative Adversarial Network in Principal Orthogonal Latent Components Analysis)to address these issues.While retaining all the original constraint mechanisms of POLCA Net,GAN-POLCA introduced an adversarial loss and constructs a multi-constraint collaborative deep generative model through the adversarial training mechanism between the generator and discriminator.Experimental results on three real datasets showed that GAN-POLCA significantly outperformed PCA(Principal Components Analysis)and POLCA Net in both the convergence rate and steady-state value of the loss function,with effectively improved image reconstruction performance,which fully verified the superiority of the proposed algorithm and framework.
郭贤杰
安徽理工大学 数学与大数据学院,安徽 淮南 232001
信息技术与安全科学
降维GANSPOLCA Net图像重建生成模型
dimensionality reductionGANsPOLCA Netimage reconstructiongenerating model
《哈尔滨商业大学学报(自然科学版)》 2026 (4)
439-449,11
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