A Stationary (and Therefore Compatible) Representation is All You Need
Summary
Introduces stationary representations learned via d-Simplex fixed classifiers to ensure model compatibility during sequential fine-tuning, enabling continuous retrieval services without reprocessing. Combines cross-entropy and contrastive losses to capture higher-order dependencies.
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Paper page - A Stationary (and Therefore Compatible) Representation is All You Need
Source: https://huggingface.co/papers/2606.12488
Abstract
Stationary representations learned through d-Simplex fixed classifiers ensure model compatibility during sequential fine-tuning and updates, enabling continuous retrieval services without reprocessing.
Learning compatible representations aims to learnfeature representationsthat can be used interchangeably over time whenever a model undergoes updates. In this paper, we demonstrate thatstationary representationslearned byd-Simplex fixed classifiersimply compatibility as in its formal definition. This result establishes a foundation for future works and can be directly exploited in practical learning scenarios. We address the challenge of learning compatibility usingd-Simplex fixed classifierswhen the model is sequentially fine-tuned. Learning according to a d-Simplex fixed classifier with thecross-entropy lossaligns feature distributions at the first-order statistics. Consequently, it may not fully capturehigher-order dependenciesin the representation between model updates. To address this issue, we demonstrate that training the model using a d-Simplex fixed classifier through aconvex combinationof thecross-entropy lossand acontrastive lossnot only captureshigher-order dependencies, but is also equivalent to learning with the cross-entropy under the compatibility constraints. We confirm our findings with extensive experiments also considering a new scenario where a pre-trained model is sequentially fine-tuned and occasionally replaced with an improved model. We show thatstationary representationsenable uninterrupted retrieval services (without reprocessing gallery images) while improving performance during model updates and replacements, achieving state-of-the-art. Code at https://github.com/miccunifi/iamcl2r.
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