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Sinkhorn attention preserves transformer rank decay, study finds

Researchers have analyzed the Sinkhorn algorithm's application to doubly stochastic attention in transformer architectures, finding it preserves rank more effectively than standard row-stochastic attention. The study, which includes theoretical bounds and empirical validation on sentiment analysis and image classification tasks, indicates that skip connections remain crucial for mitigating rank collapse, a phenomenon where token representations become increasingly uniform with network depth. The research shows that rank decays doubly exponentially with depth when using Sinkhorn normalization, similar to findings for standard softmax attention. AI

IMPACT Provides theoretical insights into attention mechanisms, potentially guiding future transformer model development for improved performance.

RANK_REASON Academic paper detailing a theoretical and empirical analysis of an attention mechanism in transformer architectures. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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Sinkhorn attention preserves transformer rank decay, study finds

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Academic paper detailing a theoretical and empirical analysis of an attention mechanism in transformer architectures. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Michela Lapenna, Rita Fioresi, Bahman Gharesifard ·

    Sinkhorn doubly stochastic attention rank decay analysis

    arXiv:2604.07925v2 Announce Type: replace-cross Abstract: The self-attention mechanism is central to the success of Transformer architectures. However, standard row-stochastic attention has been shown to suffer from significant signal degradation across layers. In particular, it …