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What is the theoretical foundation of the proposed sequence classification method based on convolutional neural networks? 


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The proposed sequence classification method based on convolutional neural networks (CNN) has a theoretical foundation rooted in wavelet-based multiresolution analysis . The key component of the model is the multiresolution convolution, which captures multiscale trends in the input sequence. This approach takes inspiration from wavelet decompositions and utilizes a building block called a MultiresLayer. The MultiresConv, implemented with shared filters across a dilated causal convolution tree, combines the computational advantages of convolutional networks with the theoretical motivation of wavelet decompositions. The model requires significantly fewer parameters and maintains a memory footprint of at most O(NlogN) for a length N sequence. By stacking these MultiresLayers, the model achieves state-of-the-art performance on sequence classification tasks .

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The paper does not explicitly mention the theoretical foundation of the proposed sequence classification method based on convolutional neural networks.
The paper does not explicitly mention the theoretical foundation of the proposed sequence classification method based on convolutional neural networks.
The paper does not explicitly mention the theoretical foundation of the proposed sequence classification method based on convolutional neural networks.
The theoretical foundation of the proposed sequence classification method is based on wavelet decompositions, which are used to define a new building block called MultiresLayer.
The theoretical foundation of the proposed sequence classification method is based on wavelet decompositions and multiresolution analysis.

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