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Continual Hyperbolic Learning of Instances and Classes

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arxiv 2506.10710 v1 pith:4W77OL6B submitted 2025-06-12 cs.CV cs.AIcs.LG

Continual Hyperbolic Learning of Instances and Classes

classification cs.CV cs.AIcs.LG
keywords hierarchicalcontinualclassesinstanceslearninghyperbolicmultiplegeneralization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Continual learning has traditionally focused on classifying either instances or classes, but real-world applications, such as robotics and self-driving cars, require models to handle both simultaneously. To mirror real-life scenarios, we introduce the task of continual learning of instances and classes, at the same time. This task challenges models to adapt to multiple levels of granularity over time, which requires balancing fine-grained instance recognition with coarse-grained class generalization. In this paper, we identify that classes and instances naturally form a hierarchical structure. To model these hierarchical relationships, we propose HyperCLIC, a continual learning algorithm that leverages hyperbolic space, which is uniquely suited for hierarchical data due to its ability to represent tree-like structures with low distortion and compact embeddings. Our framework incorporates hyperbolic classification and distillation objectives, enabling the continual embedding of hierarchical relations. To evaluate performance across multiple granularities, we introduce continual hierarchical metrics. We validate our approach on EgoObjects, the only dataset that captures the complexity of hierarchical object recognition in dynamic real-world environments. Empirical results show that HyperCLIC operates effectively at multiple granularities with improved hierarchical generalization.

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  1. After the Euclidean Highway: Hyperbolic Expert AI as the Next Innovation

    cs.LG 2026-07 conditional novelty 6.0

    Hyperbolic losses at the loss layer alone train stably at 18M-sample scale, while the same geometry inside a trainable adapter is claimed to collapse training.