no code implementations • 23 Mar 2023 • Yao Lei Xu, Kriton Konstantinidis, Danilo P. Mandic
Despite the omnipresence of tensors and tensor operations in modern deep learning, the use of tensor mathematics to formally design and describe neural networks is still under-explored within the deep learning community.
no code implementations • 26 Oct 2022 • Yao Lei Xu, Kriton Konstantinidis, Danilo P. Mandic
This represents a challenge for modern machine learning models, as the number of model parameters needed to process such data grows exponentially with the data dimensions; an effect known as the Curse-of-Dimensionality.
no code implementations • 27 Mar 2021 • Yao Lei Xu, Kriton Konstantinidis, Danilo P. Mandic
Modern data sources are typically of large scale and multi-modal natures, and acquired on irregular domains, which poses serious challenges to traditional deep learning models.
1 code implementation • 25 Oct 2020 • Yao Lei Xu, Kriton Konstantinidis, Danilo P. Mandic
The irregular and multi-modal nature of numerous modern data sources poses serious challenges for traditional deep learning algorithms.
1 code implementation • 27 Jan 2020 • Alexandros Haliassos, Kriton Konstantinidis, Danilo P. Mandic
However, both TT and other Tensor Networks (TNs), such as Tensor Ring and Hierarchical Tucker, are sensitive to the ordering of their indices (and hence to the features).