Search Results for author: Landon Butler

Found 6 papers, 1 papers with code

Learning to Understand: Identifying Interactions via the Mobius Transform

no code implementations4 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 $K \rightarrow \infty$.

Learning Theory

Non Commutative Convolutional Signal Models in Neural Networks: Stability to Small Deformations

no code implementations5 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.

Learning with Multigraph Convolutional Filters

no code implementations28 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.

Convolutional Learning on Multigraphs

no code implementations23 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).

Convolutional Filtering and Neural Networks with Non Commutative Algebras

no code implementations23 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.

Learning Connectivity for Data Distribution in Robot Teams

1 code implementation8 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).

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