1 code implementation • 26 Feb 2024 • Jiacheng Zhu, Kristjan Greenewald, Kimia Nadjahi, Haitz Sáez de Ocáriz Borde, Rickard Brüel Gabrielsson, Leshem Choshen, Marzyeh Ghassemi, Mikhail Yurochkin, Justin Solomon
Specifically, when updating the parameter matrices of a neural network by adding a product $BA$, we observe that the $B$ and $A$ matrices have distinct functions: $A$ extracts features from the input, while $B$ uses these features to create the desired output.
no code implementations • 29 Nov 2018 • Rickard Brüel Gabrielsson, Vignesh Ganapathi-Subramanian, Primoz Skraba, Leonidas J. Guibas
We present an approach to inform the reconstruction of a surface from a point scan through topological priors.
Computational Geometry Graphics
no code implementations • 2 Nov 2018 • Gunnar Carlsson, Rickard Brüel Gabrielsson
We perform topological data analysis on the internal states of convolutional deep neural networks to develop an understanding of the computations that they perform.
no code implementations • 8 Oct 2018 • Rickard Brüel Gabrielsson, Gunnar Carlsson
We use topological data analysis to show that the information encoded in the weights of a CNN can be organized in terms of a topological data model and demonstrate how such information can be interpreted and utilized.