no code implementations • 31 May 2022 • Camille Olivia Little, Michael Weylandt, Genevera I Allen
Specifically, we identify and outline the empirical Pareto frontier through Tradeoff-between-Fairness-and-Accuracy (TAF) Curves; we then develop a metric to quantify this Pareto frontier through the weighted area under the TAF Curve which we term the Fairness-Area-Under-the-Curve (FAUC).
no code implementations • 9 Feb 2022 • Michael Weylandt, George Michailidis
Remarkably, we show that SS-TPCA achieves the same estimation accuracy as classical matrix PCA, with error proportional to the square root of the number of vertices in the network and not the number of edges as might be expected.
no code implementations • 1 Nov 2021 • Madeline Navarro, Genevera I. Allen, Michael Weylandt
In this paper, we propose a convex approach for the task of network clustering.
no code implementations • 6 Apr 2021 • Michael Weylandt, George Michailidis, T. Mitchell Roddenberry
Graph signal processing (GSP) provides a powerful framework for analyzing signals arising in a variety of domains.
no code implementations • 8 Dec 2020 • Michael Weylandt, T. Mitchell Roddenberry, Genevera I. Allen
In contrast to common practice which denoises then clusters, our method is a unified, convex approach that performs both simultaneously.
no code implementations • 8 Dec 2020 • Michael Weylandt, George Michailidis
Clustering of time series data exhibits a number of challenges not present in other settings, notably the problem of registration (alignment) of observed signals.
no code implementations • 28 Jul 2019 • Michael Weylandt
We first propose an extension of SFPCA which estimates several principal components simultaneously using manifold optimization techniques to enforce orthogonality constraints.
no code implementations • 18 Jan 2019 • Michael Weylandt
Co-Clustering, the problem of simultaneously identifying clusters across multiple aspects of a data set, is a natural generalization of clustering to higher-order structured data.
1 code implementation • 6 Jan 2019 • Michael Weylandt, John Nagorski, Genevera I. Allen
Convex clustering is a promising new approach to the classical problem of clustering, combining strong performance in empirical studies with rigorous theoretical foundations.
1 code implementation • 11 Sep 2013 • Genevera I. Allen, Michael Weylandt
We propose a unified approach to regularized PCA which can induce both sparsity and smoothness in both the row and column principal components.