EAAI Journal 2026 Journal Article
Hyperbolic Adversarial Variational Embedding for item recommendation
- Zhongchuan Sun
- Liming Chen
- Youwei Wang
- Mingming Zhang
- Yunpeng Wu
- Yangdong Ye
Variational autoencoders (VAEs) have shown great promise in recommender systems due to their advantage of handling implicit feedback. However, existing VAE-based methods still rely on (i) static, data-independent Gaussian priors that fail to reflect actual user–item interaction dynamics, and (ii) Euclidean embeddings that distort the power-law structure of interaction patterns. To address these limitations, we propose Hyperbolic Adversarial Variational Embedding (HAVE), a unified framework that combines adversarial variational inference, data-driven prior adaptation, and non-Euclidean representation learning. First, we introduce an adversarial variational inference paradigm that matches the encoder’s posterior to a richer, learnable target distribution, thereby enhancing flexibility and capturing nuanced interest semantics. Building on this, we design an Adaptively Variational Prior (AdaPrior) which fuses user activity patterns and item popularity trends into behavior-aware priors, mitigating posterior collapse. Finally, HAVE embeds user behaviors into hyperbolic space, exploiting its hierarchical structure to naturally encode both a small core of highly active users and a vast periphery of casual users without distortion. Extensive experiments on multiple real-world datasets demonstrate that HAVE not only outperforms state-of-the-art baselines in recommendation accuracy but also yields latent representations that faithfully preserve hierarchical interaction structures.