Mapping the Brain of the Machine

A neural network’s internal logic is exposed through the construction of a neural graph-derived directly from its architecture-where the importance of each connection is quantified by a neural curvature [latex]\kappa\_{N}(u,v,x)[/latex] calculated across a calibration set [latex]\mathcal{D}[/latex], ultimately allowing for a ranking of connections based on their influence.

New research applies the tools of differential geometry to understand how information travels within neural networks, offering a fresh perspective on network architecture and optimization.