Abstract: Possessing a manipulable representation of the world is a requirement for intelligent machines to plan, reason, and act in the world. Endowing computational systems, e.g., deep networks (DNs ...

Homework policy: I anticipate assigning three to five problem sets. Collaboration policy: While you should first think about the problems on your own, you are encouraged to discuss the problems with ...

Spectral graph theory examines the structural and dynamical properties of graphs by analysing the spectra of associated matrices such as the adjacency matrix, Laplacian, normalised Laplacian and ...

Extremal graph theory seeks to determine the maximum or minimum values of graph invariants—such as edge count, degree sequence or subgraph density—subject to the exclusion of particular configurations ...

Robbie has been an avid gamer for well over 20 years. During that time, he's watched countless franchises rise and fall. He's a big RPG fan but dabbles in a little bit of everything. Writing about ...

Ningyi Liao, Haoyu Liu, Zulun Zhu, Siqiang Luo, and Laks V.S. Lakshmanan. A Comprehensive Benchmark on Spectral GNNs: The Impact on Efficiency, Memory, and Effectiveness. Proceedings of the ACM on ...

A graph is a mathematical structure used to model pairwise relationships between objects. A graph consists of a set of vertices (or nodes) and a set of edges, each of which connects a pair of vertices ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices represent chemical species or molecular states, edges represent reactions or ...

Molecular Dynamics, Groningen Biomolecular Sciences and Biotechnology Institute (GBB), University of Groningen, Nijenborgh 7, 9747 AG Groningen, The Netherlands ...