提出无需编码器的半对抗变分自编码器,提升欠定独立成分分析的解耦效果。
Half-AVAE: Adversarial-Enhanced Factorized and Structured Encoder-Free VAE for Underdetermined Independent Component Analysis
- 抛弃编码器设计,结合对抗训练与外部增强项,实现隐变量解耦。
- 在欠定条件下,重构误差低于基线模型,独立成分恢复更准确。
- 适合需要高可解释性表示的生成建模、因果推断等场景。
本研究改进了变分自编码器(VAE)框架,应对确定与欠定条件下的独立成分分析(ICA)挑战,重点提升隐变量的独立性与可解释性。传统VAE依赖编码器-解码器结构映射数据,但在隐变量数量超过观测信号时表现不佳。提出的半对抗变分自编码器(Half-AVAE)基于无编码器的Half-VAE框架,通过移除显式反向映射解决欠定问题。结合对抗网络与外部增强(EE)项,促进隐变量维度间的相互独立性,实现因子化且可解释的表示。合成信号实验表明,相较于基线模型(如GP-AVAE和Half-VAE),Half-AVAE在欠定条件下能更优地恢复独立成分,根均方误差更低。研究展示了VAE在变分推断中的灵活性:编码器省略、对抗训练与结构先验的结合,可有效应对复杂ICA任务,推动解耦学习、因果推断与生成建模的应用进展。
原文摘要 · Abstract (English)
This study advances the Variational Autoencoder (VAE) framework by addressing challenges in Independent Component Analysis (ICA) under both determined and underdetermined conditions, focusing on enhancing the independence and interpretability of latent variables. Traditional VAEs map observed data to latent variables and back via an encoder-decoder architecture, but struggle with underdetermined ICA where the number of latent variables exceeds observed signals. The proposed Half Adversarial VAE (Half-AVAE) builds on the encoder-free Half-VAE framework, eliminating explicit inverse mapping to tackle underdetermined scenarios. By integrating adversarial networks and External Enhancement (EE) terms, Half-AVAE promotes mutual independence among latent dimensions, achieving factorized and interpretable representations. Experiments with synthetic signals demonstrate that Half-AVAE outperforms baseline models, including GP-AVAE and Half-VAE, in recovering independent components under underdetermined conditions, as evidenced by lower root mean square errors. The study highlights the flexibility of VAEs in variational inference, showing that encoder omission, combined with adversarial training and structured priors, enables effective solutions for complex ICA tasks, advancing applications in disentanglement, causal inference, and generative modeling.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。