GENEOnet: A new machine learning paradigm based on Group Equivariant Non-Expansive Operators. An application to protein pocket detection
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Abstract (arXiv)
Nowadays there is a big spotlight cast on the development of techniques of explainable machine learning. Here we introduce a new computational paradigm based on Group Equivariant Non-Expansive Operators, that can be regarded as the product of a rising mathematical theory of information-processing observers. This approach, that can be adjusted to different situations, may have many advantages over other common tools, like Neural Networks, such as: knowledge injection and information engineering, selection of relevant features, small number of parameters and higher transparency. We chose to test our method, called GENEOnet, on a key problem in drug design: detecting pockets on the surface of proteins that can host ligands. Experimental results confirmed that our method works well even with a quite small training set, providing thus a great computational advantage, while the final comparison with other state-of-the-art methods shows that GENEOnet provides better or comparable results in terms of accuracy.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 8 of its 78 references that are in the map. First posted on arXiv 31 Jan 2022.
Builds on
8 of 78 references.
References · 8
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- 2016Group Equivariant Convolutional Networkscited by 1,154
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- 2016Understanding Deep Convolutional Networkscited by 76
- 2018Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learningcited by 24
- 2015On Invariance and Selectivity in Representation Learningcited by 18
- 2020On the finite representation of group equivariant operators via permutant measurescited by 7
- 2016Position paper: Towards an observer-oriented theory of shape comparisoncited by 3
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Citing papers per year: 2023: 2; 2024: 0; 2025: 1; 2026: 1.
4 papers.
- 2023Low-Resource White-Box Semantic Segmentation of Supporting Towers on 3D Point Clouds via Signature Shape Identificationcited by 2
- 2023A topological model for partial equivariance in deep learning and data analysiscited by 1
- 2025Reconstruction of SINR Maps from Sparse Measurements using Group Equivariant Non-Expansive Operatorscited by 0
- 2026An Algebraic Representation Theorem for Linear GENEOs in Geometric Machine Learningcited by 0
- 2026An Algebraic Representation Theorem for Linear GENEOs in Geometric Machine Learning7 Jan 2026
- 2025Reconstruction of SINR Maps from Sparse Measurements using Group Equivariant Non-Expansive Operators25 Jul 2025
- 2023A topological model for partial equivariance in deep learning and data analysis25 Aug 2023
- 2023Low-Resource White-Box Semantic Segmentation of Supporting Towers on 3D Point Clouds via Signature Shape Identification13 Jun 2023