Library of Layers (LoL): Adaptively Ordering Transformer Layers at Runtime

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Summary

The paper introduces Library of Layers (LoL), a transformer architecture that dynamically reorders its layers at inference time, unifying parameter reuse and sparsity tradeoffs across dense, depth-recurrent, and MoE baselines while enabling interpretable routing across reasoning, multilingual, and safety tasks.

Computer programmers chain together the same reusable computational primitives, for example, conditional statements or loops, but in different orders to implement different algorithms. In contrast, existing language model architectures always execute their layers in the same order. We introduce Library of Layers (LoL), an architecture that dynamically orders its layers during inference to solve the problem at hand. LoL has a single hyperparameter, the size of its global library of transformer blocks, that allows it to transition seamlessly between parameter reuse and sparsity, generalizing the parameter-efficiency and FLOPs-efficiency tradeoffs of dense, depth-recurrent, and mixture of experts architectures in one unified family. We show that LoL achieves competitive performance with all three above baselines when pretrained on text data. On synthetic sudoku and maze data, we observe that the model employs distinct layer orderings to implement different solution strategies, and we can intervene on routing to force a model to apply a specific solution strategy to a problem instance. In a multilingual natural language setting, we find that LoL chooses different layer order patterns based on language and script. Similarly, we train LoL on safety data and fit probes to its router outputs, finding that these probes distinguish safe from unsafe text with high AUROC. LoL provides a path toward a future in which models dynamically compose their own computational graph, enabling more efficient and controllable reasoning.
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Paper page - Library of Layers (LoL): Adaptively Ordering Transformer Layers at Runtime

Source: https://huggingface.co/papers/2611.03526

Abstract

Library of Layers dynamically orders transformer blocks during inference to adapt computation to tasks, enabling parameter reuse, sparsity, and interpretable routing across reasoning, multilingual, and safety settings.

Computer programmers chain together the same reusable computational primitives, for example, conditional statements or loops, but in different orders to implement different algorithms. In contrast, existing language model architectures always execute their layers in the same order. We introduceLibrary of Layers(LoL), an architecture that dynamically orders its layers during inference to solve the problem at hand. LoL has a single hyperparameter, the size of its global library oftransformer blocks, that allows it to transition seamlessly betweenparameter reuseandsparsity, generalizing the parameter-efficiency and FLOPs-efficiency tradeoffs of dense,depth-recurrent, andmixture of expertsarchitectures in one unified family. We show that LoL achieves competitive performance with all three above baselines when pretrained on text data. On synthetic sudoku and maze data, we observe that the model employs distinct layer orderings to implement different solution strategies, and we can intervene onroutingto force a model to apply a specific solution strategy to a problem instance. In a multilingual natural language setting, we find that LoL chooses different layer order patterns based on language and script. Similarly, we train LoL on safety data and fit probes to itsrouter outputs, finding that these probes distinguish safe from unsafe text with high AUROC. LoL provides a path toward a future in which models dynamically compose their own computational graph, enabling more efficient and controllable reasoning.

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