Search Results for author: Nikolaos Karalias

Found 5 papers, 4 papers with code

Are Graph Neural Networks Optimal Approximation Algorithms?

1 code implementation1 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).

Combinatorial Optimization

Neural Extensions: Training Neural Networks with Set Functions

no code implementations29 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.

Combinatorial Optimization Image Classification

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