Dilated Convolution with Learnable Spacings: beyond bilinear interpolation

Ismail Khalfaoui-Hassani, Thomas Pellegrini, Timothée Masquelier

Keywords: deep learning, convolution, interpolation, differentiable

TL;DR: Reconsideration of the bilinear interpolation used by default in DCLS.

Abstract: Dilated Convolution with Learnable Spacings (DCLS) is a recently proposed variation of the dilated convolution in which the spacings between the non-zero elements in the kernel, or equivalently their positions, are learnable. Non-integer positions are handled via interpolation. Thanks to this trick, positions have well-defined gradients. The original DCLS used bilinear interpolation, and thus only considered the four nearest pixels. Yet here we show that longer range interpolations, and in particular a Gaussian interpolation, allow improving performance on ImageNet1k classification on two state-of-the-art convolutional architectures (ConvNeXt and Conv\-Former), without increasing the number of parameters. The method code is based on PyTorch and is available at https://github.com/K-H-Ismail/Dilated-Convolution-with-Learnable-Spacings-PyTorch.

Submission Number: 32