Continuous U-Net: Faster, Greater and Noiseless
- URL: http://arxiv.org/abs/2302.00626v1
- Date: Wed, 1 Feb 2023 17:46:00 GMT
- Title: Continuous U-Net: Faster, Greater and Noiseless
- Authors: Chun-Wun Cheng, Christina Runkel, Lihao Liu, Raymond H Chan,
Carola-Bibiane Sch\"onlieb, Angelica I Aviles-Rivero
- Abstract summary: We introduce continuous U-Net, a novel family of networks for image segmentation.
We provide theoretical guarantees for our network demonstrating faster convergence, higher robustness and less sensitivity to noise.
We demonstrate, through extensive numerical and visual results, that our model outperforms existing U-Net blocks for several medical image segmentation benchmarking datasets.
- Score: 2.6163085620813287
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Image segmentation is a fundamental task in image analysis and clinical
practice. The current state-of-the-art techniques are based on U-shape type
encoder-decoder networks with skip connections, called U-Net. Despite the
powerful performance reported by existing U-Net type networks, they suffer from
several major limitations. Issues include the hard coding of the receptive
field size, compromising the performance and computational cost, as well as the
fact that they do not account for inherent noise in the data. They have
problems associated with discrete layers, and do not offer any theoretical
underpinning. In this work we introduce continuous U-Net, a novel family of
networks for image segmentation. Firstly, continuous U-Net is a continuous deep
neural network that introduces new dynamic blocks modelled by second order
ordinary differential equations. Secondly, we provide theoretical guarantees
for our network demonstrating faster convergence, higher robustness and less
sensitivity to noise. Thirdly, we derive qualitative measures to tailor-made
segmentation tasks. We demonstrate, through extensive numerical and visual
results, that our model outperforms existing U-Net blocks for several medical
image segmentation benchmarking datasets.
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