A Unified Latent Space Disentanglement VAE Framework with Robust Disentanglement Effectiveness Evaluation

📅 2026-03-11
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🤖 AI Summary
This work addresses the challenge that existing variational autoencoders (VAEs) struggle to effectively disentangle latent representations in the absence of ground-truth generative factors, particularly on tabular data. To overcome this limitation, the authors propose a unified framework, bfVAE, which integrates multiple state-of-the-art disentanglement techniques and introduces, for the first time, a suite of evaluation metrics—FVH-LT, DBSR-LS, and the composite LSDI—that do not require access to true generative factors, enabling reliable quantification and discovery of semantically meaningful latent structures. By incorporating a greedy alignment strategy (GAS) to mitigate label-switching issues, bfVAE achieves substantially improved disentanglement quality and robustness over existing methods, attaining near-zero false discovery rates and significantly enhancing the interpretability of the latent space.

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📝 Abstract
Evaluating and interpreting latent representations, such as variational autoencoders (VAEs), remains a significant challenge for diverse data types, especially when ground-truth generative factors are unknown. To address this, we propose a general framework -- bfVAE -- that unifies several state-of-the-art disentangled VAE approaches and generates effective latent space disentanglement, especially for tabular data. To assess the effectiveness of a VAE disentanglement technique, we propose two procedures - Feature Variance Heterogeneity via Latent Traversal (FVH-LT) and Dirty Block Sparse Regression in Latent Space (DBSR-LS) for disentanglement assessment, along with the latent space disentanglement index (LSDI) which uses the outputs of FVH-LT and DBSR-LS to summarize the overall effectiveness of a VAE disentanglement method without requiring access to or knowledge of the ground-truth generative factors. To the best of our knowledge, these are the first assessment tools to achieve this. FVH-LT and DBSR-LS also enhance latent space interpretability and provide guidance on more efficient content generation. To ensure robust and consistent disentanglement, we develop a greedy alignment strategy (GAS) that mitigates label switching and aligns latent dimensions across runs to obtain aggregated results. We assess the bfVAE framework and validate FVH-LT, DBSR-LS, and LSDI in extensive experiments on tabular and image data. The results suggest that bfVAE surpasses existing disentangled VAE frameworks in terms of disentanglement quality, robustness, achieving a near-zero false discovery rate for informative latent dimensions, that FVH-LT and DBSR-LS reliably uncover semantically meaningful and domain-relevant latent structures, and that LSDI makes an effective overall quantitative summary on disentanglement effectiveness.
Problem

Research questions and friction points this paper is trying to address.

disentanglement
variational autoencoder
latent representation
evaluation
ground-truth generative factors
Innovation

Methods, ideas, or system contributions that make the work stand out.

disentangled VAE
latent space evaluation
unsupervised disentanglement
bfVAE
LSDI
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Xiaoan Lang
Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, USA
Fang Liu
Fang Liu
University of Notre Dame
trustworthy machine learningprivacy & synthetic dataBayesian statisticsmissing data analysis