Graph Neural Networks (GNNs) have shown promising results on a broad spectrum of applications. Most empirical studies GNNs directly take the observed graph as input, assuming structure perfectly depicts accurate and complete relations between nodes. However, graphs in real-world are inevitably noisy or incomplete, which could even exacerbate quality representations. In this work, we propose nov...

Integrated Information Theory is one of the leading models consciousness. It aims to describe both quality and quantity conscious experience a physical system, such as brain, in particular state. In this contribution, we propound mathematical structure theory, separating essentials from auxiliary formal tools. We provide definition generalized IIT which has 3.0 Tononi et al., well Quantum intro...