We establish an exact correspondence between the expressivity of GNNs using diverse activation functions and arithmetic circuits overrealnumbers.

St Rs, sincetheproductmanifoldSt Rs is g-connected.

Inthiswork, we focus on a classification problem and investigate the behavior of both noncalibrated and calibrated negativelog-likelihood (CNLL) ofadeep ensemble as a function of the ensemble size and the member network size.

It is widely acknowledged that large language models (LLMs) encode a vast reservoirofknowledge after being trained onmass data.