no code implementations • 4 Feb 2024 • Justin S. Kang, Yigit E. Erginbas, Landon Butler, Ramtin Pedarsani, Kannan Ramchandran
In the case where all interactions are between at most $t = \Theta(n^{\alpha})$ inputs, for $\alpha < 0. 409$, we are able to leverage results from group testing to provide the first algorithm that computes the Mobius transform in $O(Kt\log n)$ sample complexity and $O(K\mathrm{poly}(n))$ time with vanishing error as $K \rightarrow \infty$.
no code implementations • 5 Oct 2023 • Alejandro Parada-Mayorga, Landon Butler, Alejandro Ribeiro
In this paper we discuss the results recently published in~[1] about algebraic signal models (ASMs) based on non commutative algebras and their use in convolutional neural networks.
no code implementations • 28 Oct 2022 • Landon Butler, Alejandro Parada-Mayorga, Alejandro Ribeiro
In this paper, we introduce a convolutional architecture to perform learning when information is supported on multigraphs.
no code implementations • 23 Sep 2022 • Landon Butler, Alejandro Parada-Mayorga, Alejandro Ribeiro
In this paper, we develop convolutional information processing on multigraphs and introduce convolutional multigraph neural networks (MGNNs).
no code implementations • 23 Aug 2021 • Alejandro Parada-Mayorga, Landon Butler, Alejandro Ribeiro
In this paper we introduce and study the algebraic generalization of non commutative convolutional neural networks.
1 code implementation • 8 Mar 2021 • Ekaterina Tolstaya, Landon Butler, Daniel Mox, James Paulos, Vijay Kumar, Alejandro Ribeiro
To overcome this challenge, we propose a task-agnostic, decentralized, low-latency method for data distribution in ad-hoc networks using Graph Neural Networks (GNN).