Reparameterized Multi-Resolution Convolutions for Long Sequence Modelling
<|reference_start|>Reparameterized Multi-Resolution Convolutions for Long Sequence Modelling: Global convolutions have shown increasing promise as powerful general-purpose sequence models. However, training long convolutions is challenging, and kernel parameterizations must be able to learn long-range dependencies without overfitting. This work introduces reparameterized multi-resolution convolutions ($\texttt{MRConv}$), a novel approach to parameterizing global convolutional kernels for long-sequence modelling. By leveraging multi-resolution convolutions, incorporating structural reparameterization and introducing learnable kernel decay, $\texttt{MRConv}$ learns expressive long-range kernels that perform well across various data modalities. Our experiments demonstrate state-of-the-art performance on the Long Range Arena, Sequential CIFAR, and Speech Commands tasks among convolution models and linear-time transformers. Moreover, we report improved performance on ImageNet classification by replacing 2D convolutions with 1D $\texttt{MRConv}$ layers.<|reference_end|>
@article{cunningham2024reparameterized,
    title={Reparameterized Multi-Resolution Convolutions for Long Sequence
  Modelling},
    author={Harry Jake Cunningham, Giorgio Giannone, Mingtian Zhang, Marc Peter
  Deisenroth},
    journal={arXiv preprint arXiv:2408.09453},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.09453},
    primaryClass={cs.LG cs.CV}
}