Deep Parametric Continuous Convolutional Neural Networks

Standard convolutional neural networks assume a grid structured input is available and exploit discrete convolutions as their fundamental building blocks. This limits their applicability to many real-world applications. In this paper we propose Parametric Continuous Convolution, a new learnable operator that operates over non-grid structured data. The key idea is to exploit parameterized kernel functions that span the full continuous vector space. This generalization allows us to learn over arbitrary data structures as long as their support relationship is computable. Our experiments show significant improvement over the state-of-the-art in point cloud segmentation of indoor and outdoor scenes, and lidar motion estimation of driving scenes.

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Results from the Paper

 Ranked #1 on Semantic Segmentation on S3DIS Area5 (Number of params metric)

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Task Dataset Model Metric Name Metric Value Global Rank Benchmark
Semantic Segmentation S3DIS Area5 PCCN mAcc 67.0 # 29
Number of params N/A # 1