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1
Intro
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Graphs are everywhere
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Combinatorial optimization over graph
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Graph neural networks (GNN/MPN/Structure2vec)
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Sequential vs distributed local algorithms
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Leaming algorithms with reinforcement leaming
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Example of leamed sequential algorithms
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Example of distributed local algorithms: PageRank
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GNN - Parametrized distributed local graph algorithm
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Challenges for leaming new algorithms
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Motivating example
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Spanning tree solution as cheap global feature
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Multiple spanning trees to multiple features
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Better learned algorithms with global information
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Unsupervised
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Better time-solution trade-off
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Anchor nodes of explanation
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Comparing feature quality
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Differentiable Algorithm Discovery (DAD)
Description:
Explore a groundbreaking framework for differentiable discovery of graph algorithms in this 29-minute conference talk by Le Song from Georgia Institute of Technology. Delve into the challenges of using graph neural networks (GNNs) to learn algorithms and discover how this innovative approach addresses limitations in search space and interpretability. Learn how the framework incorporates cheap global information from tree decomposition of graphs and explains the structures leading to algorithmic decisions. Examine applications to three NP-complete graph problems and understand how this method discovers effective and explainable algorithms. Gain insights into topics such as combinatorial optimization, distributed local algorithms, reinforcement learning, and the use of spanning trees as global features. Understand the concept of Differentiable Algorithm Discovery (DAD) and its potential to revolutionize graph algorithm development.

A Framework for Differentiable Discovery of Graph Algorithms

Institute for Pure & Applied Mathematics (IPAM)
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