New approximative kernels improve PDE-G-CNNs for geometric deep learning.
arXiv research
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Group equivariant and steerable convolutional neural networks (regular and steerable G-CNNs) have recently emerged as a very effective model class for learning from signal data such as 2D and 3D images, video, and other data where symmetries are present. In geometrical terms, regular G-CNNs represent data in terms of s…
B-Spline CNNs on Lie Groups expand G-CNNs to arbitrary groups.
PDE-based G-CNNs add geometric symmetries to CNNs without augmentation.
We introduce Group equivariant Convolutional Neural Networks (G-CNNs), a natural generalization of convolutional neural networks that reduces sample complexity by exploiting symmetries. G-CNNs use G-convolutions, a new type of layer that enjoys a substantially higher degree of weight sharing than regular convolution la…
Convolutional Neural Networks (CNNs) require a large amount of annotated data to learn from, which is often difficult to obtain in the medical domain. In this paper we show that the sample complexity of CNNs can be significantly improved by using 3D roto-translation group convolutions (G-Convs) instead of the more conv…
Study on geodesic distances on SE(3)/SO(2) in machine learning.
Cake wavelets minimize orientation score uncertainty.
We present a general theory of Group equivariant Convolutional Neural Networks (G-CNNs) on homogeneous spaces such as Euclidean space and the sphere. Feature maps in these networks represent fields on a homogeneous base space, and layers are equivariant maps between spaces of fields. The theory enables a systematic cla…
Geometric models improve feature extraction and equivariance in image generation.
The paper generalizes equivariant neural networks on homogeneous spaces to the non-linear setting.
Using predictive models to identify patterns that can act as biomarkers for different neuropathoglogical conditions is becoming highly prevalent. In this paper, we consider the problem of Autism Spectrum Disorder (ASD) classification where previous work has shown that it can be beneficial to incorporate a wide variety …
Paper introduces method to make neural networks symmetrical.
Proposes a graph-based system for personalized news recommendation considering multiple user behaviors.
Combining deep neural networks with structured logic rules is desirable to harness flexibility and reduce uninterpretability of the neural models. We propose a general framework capable of enhancing various types of neural networks (e.g., CNNs and RNNs) with declarative first-order logic rules. Specifically, we develop…
Recent progress on deep learning has made it possible to automatically transform the screenshot of Graphic User Interface (GUI) into code by using the encoder-decoder framework. While the commonly adopted image encoder (e.g., CNN network), might be capable of extracting image features to the desired level, interpreting…
Advances understanding of neural network generalization via tensor analysis.
Improved GP model forecasts wireless demand extremes with better uncertainty quantification.
Extends RDS filtering to position-orientation space for better image processing.