1 code implementation • 1 Oct 2023 • Morris Yau, Eric Lu, Nikolaos Karalias, Jessica Xu, Stefanie Jegelka
In this work we design graph neural network architectures that capture optimal approximation algorithms for a large class of combinatorial optimization problems, using powerful algorithmic tools from semidefinite programming (SDP).
1 code implementation • 8 Aug 2022 • Nikolaos Karalias, Joshua Robinson, Andreas Loukas, Stefanie Jegelka
Integrating functions on discrete domains into neural networks is key to developing their capability to reason about discrete objects.
Combinatorial Optimization Vocal Bursts Intensity Prediction
no code implementations • 29 Sep 2021 • Nikolaos Karalias, Joshua David Robinson, Andreas Loukas, Stefanie Jegelka
Our framework includes well-known extensions such as the Lovasz extension of submodular set functions and facilitates the design of novel continuous extensions based on problem-specific considerations, including constraints.
1 code implementation • NeurIPS 2021 • Giorgos Bouritsas, Andreas Loukas, Nikolaos Karalias, Michael M. Bronstein
Can we use machine learning to compress graph data?
1 code implementation • NeurIPS 2020 • Nikolaos Karalias, Andreas Loukas
Combinatorial optimization problems are notoriously challenging for neural networks, especially in the absence of labeled instances.