IRLGAug 16, 2025

Leveraging Geometric Insights in Hyperbolic Triplet Loss for Improved Recommendations

arXiv:2508.11978v1h-index: 6RecSys
Originality Incremental advance
AI Analysis

This work addresses the need for more expressive and stable recommendation systems, though it appears incremental as it builds on existing hyperbolic geometry approaches.

The paper tackled the problem of improving recommender systems by introducing a hyperbolic geometry-based model that reformulates distances and uses a triplet loss to capture user-item interactions, resulting in outperforming existing models and reducing popularity bias for more diverse recommendations.

Recent studies have demonstrated the potential of hyperbolic geometry for capturing complex patterns from interaction data in recommender systems. In this work, we introduce a novel hyperbolic recommendation model that uses geometrical insights to improve representation learning and increase computational stability at the same time. We reformulate the notion of hyperbolic distances to unlock additional representation capacity over conventional Euclidean space and learn more expressive user and item representations. To better capture user-items interactions, we construct a triplet loss that models ternary relations between users and their corresponding preferred and nonpreferred choices through a mix of pairwise interaction terms driven by the geometry of data. Our hyperbolic approach not only outperforms existing Euclidean and hyperbolic models but also reduces popularity bias, leading to more diverse and personalized recommendations.

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