A Structural Approach to the Design of Domain Specific Neural Network Architectures
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Abstract (arXiv)
This is a master's thesis concerning the theoretical ideas of geometric deep learning. Geometric deep learning aims to provide a structured characterization of neural network architectures, specifically focused on the ideas of invariance and equivariance of data with respect to given transformations. This thesis aims to provide a theoretical evaluation of geometric deep learning, compiling theoretical results that characterize the properties of invariant neural networks with respect to learning performance.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 27 of its 66 references that are in the map. First posted on arXiv 23 Jan 2023.
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References · 27
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- 2018Weisfeiler and Leman Go Neural: Higher-order Graph Neural Networkscited by 878
15 more
- 2021CoAtNet: Marrying Convolution and Attention for All Data Sizescited by 566
- 2018Lipschitz regularity of deep neural networks: analysis and efficient estimationcited by 413
- 2017Recent Trends in Deep Learning Based Natural Language Processingcited by 262
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- 2018Attention-based Graph Neural Network for Semi-supervised Learningcited by 100
- 2020Minimum Width for Universal Approximationcited by 92
- 2020On the Benefits of Invariance in Neural Networkscited by 78
- 2018Learning to Solve NP-Complete Problems - A Graph Neural Network for Decision TSPcited by 58
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- 2018Deep, Skinny Neural Networks are not Universal Approximatorscited by 37
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- 2019Universal approximations of permutation invariant/equivariant functions by deep neural networkscited by 29
- 2020A Novel Higher-order Weisfeiler-Lehman Graph Convolutioncited by 10
- 2018Pooling is neither necessary nor sufficient for appropriate deformation stability in CNNscited by 8
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