Polynomial Mixing for Efficient Self-supervised Speech Encoders

Fuente: arXiv
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Main Authors: Feillet, Eva, Whetten, Ryan, Picard, David, Allauzen, Alexandre
Format: Preprint
Published: 2026
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author Feillet, Eva
Whetten, Ryan
Picard, David
Allauzen, Alexandre
author_facet Feillet, Eva
Whetten, Ryan
Picard, David
Allauzen, Alexandre
contents State-of-the-art speech-to-text models typically employ Transformer-based encoders that model token dependencies via self-attention mechanisms. However, the quadratic complexity of self-attention in both memory and computation imposes significant constraints on scalability. In this work, we propose a novel token-mixing mechanism, the Polynomial Mixer (PoM), as a drop-in replacement for multi-head self-attention. PoM computes a polynomial representation of the input with linear complexity with respect to the input sequence length. We integrate PoM into a self-supervised speech representation learning framework based on BEST-RQ and evaluate its performance on downstream speech recognition tasks. Experimental results demonstrate that PoM achieves a competitive word error rate compared to full self-attention and other linear-complexity alternatives, offering an improved trade-off between performance and efficiency in time and memory.
format Preprint
id arxiv_https___arxiv_org_abs_2603_00683
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Polynomial Mixing for Efficient Self-supervised Speech Encoders
Feillet, Eva
Whetten, Ryan
Picard, David
Allauzen, Alexandre
Computation and Language
Machine Learning
State-of-the-art speech-to-text models typically employ Transformer-based encoders that model token dependencies via self-attention mechanisms. However, the quadratic complexity of self-attention in both memory and computation imposes significant constraints on scalability. In this work, we propose a novel token-mixing mechanism, the Polynomial Mixer (PoM), as a drop-in replacement for multi-head self-attention. PoM computes a polynomial representation of the input with linear complexity with respect to the input sequence length. We integrate PoM into a self-supervised speech representation learning framework based on BEST-RQ and evaluate its performance on downstream speech recognition tasks. Experimental results demonstrate that PoM achieves a competitive word error rate compared to full self-attention and other linear-complexity alternatives, offering an improved trade-off between performance and efficiency in time and memory.
title Polynomial Mixing for Efficient Self-supervised Speech Encoders
topic Computation and Language
Machine Learning
url https://arxiv.org/abs/2603.00683