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Transformers lack computable length generalization bounds

Researchers have demonstrated that computable length generalization bounds for transformers are not possible, even with just two layers. This finding addresses an open problem in machine learning, indicating that predicting a transformer's generalization performance on inputs of varying lengths from finite training data is fundamentally limited. The study also provides a computable bound for a restricted subset of transformer languages, equivalent to fixed-precision transformers, showing their length complexity is exponential. AI

IMPACT Confirms theoretical limits on transformer generalization, potentially guiding future research toward alternative architectures or training methods.

RANK_REASON Academic paper detailing theoretical limitations of transformer models. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Transformers lack computable length generalization bounds

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Academic paper detailing theoretical limitations of transformer models. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Andy Yang, Pascal Bergstr\"a{\ss}er, Georg Zetzsche, David Chiang, Anthony W. Lin ·

    Length Generalization Bounds for Transformers

    arXiv:2603.02238v2 Announce Type: replace Abstract: Length generalization is a key property of a learning algorithm that enables it to make correct predictions on inputs of any length, given finite training data. To provide such a guarantee, one needs to be able to compute a leng…