1 citations · 1 across the 4 of their papers we have counts for
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Sparse Anomaly Detection Across Referentials: A Rank-Based Higher Criticism Approach
Ivo V. Stoepker, Rui M. Castro, Ery Arias-Castro
Detecting anomalies in large sets of observations is crucial in various applications, such as epidemiological studies, gene expression studies, and systems monitoring. We consider…
Confidence Sets for Multidimensional Scaling
Siddharth Vishwanath, Ery Arias-Castro
We develop a formal statistical framework for classical multidimensional scaling (CMDS) applied to noisy dissimilarity data. We establish distributional convergence results for the…
Theoretical Foundations of Ordinal Multidimensional Scaling, Including Internal and External Unfolding
Ery Arias-Castro, Clément Berenfeld, Daniel Kane
We provide a comprehensive theory of multiple variants of ordinal multidimensional scaling,including internal unfolding and external unfolding. We first follow Shepard (1966) and w…
Minimax Optimality of Classical Scaling Under General Noise Conditions
Siddharth Vishwanath, Ery Arias-Castro
We establish the consistency of classical scaling under a broad class of noise models, encompassing many commonly studied cases in literature. Our approach requires only finite fou…