Search Results for author: Amir Nayyeri

Found 4 papers, 2 papers with code

Comparing Graph Transformers via Positional Encodings

1 code implementation22 Feb 2024 Mitchell Black, Zhengchao Wan, Gal Mishne, Amir Nayyeri, Yusu Wang

The distinguishing power of graph transformers is closely tied to the choice of positional encoding: features used to augment the base transformer with information about the graph.

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Understanding Oversquashing in GNNs through the Lens of Effective Resistance

1 code implementation14 Feb 2023 Mitchell Black, Zhengchao Wan, Amir Nayyeri, Yusu Wang

We propose to use total effective resistance as a bound of the total amount of oversquashing in a graph and provide theoretical justification for its use.

On Cyclic Solutions to the Min-Max Latency Multi-Robot Patrolling Problem

no code implementations14 Mar 2022 Peyman Afshani, Mark De Berg, Kevin Buchin, Jie Gao, Maarten Loffler, Amir Nayyeri, Benjamin Raichel, Rik Sarkar, Haotian Wang, Hao-Tsung Yang

For the Euclidean version of the problem, for instance, combining our results with known results on Euclidean TSP, yields a PTAS for approximating an optimal cyclic solution, and it yields a $(2(1-1/k)+\varepsilon)$-approximation of the optimal unrestricted solution.

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