585 citations · 1.7k across the 57 of their papers we have counts for
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Theoretical Foundations of t-SNE for Visualizing High-Dimensional Clustered Data
T. Tony Cai, Rong Ma
This paper investigates the theoretical foundations of the t-distributed stochastic neighbor embedding (t-SNE) algorithm, a popular nonlinear dimension reduction and data visualiza…
The Cost of Privacy in Generalized Linear Models: Algorithms and Minimax Lower Bounds
T. Tony Cai, Yichen Wang, Linjun Zhang
We propose differentially private algorithms for parameter estimation in both low-dimensional and high-dimensional sparse generalized linear models (GLMs) by constructing private v…
The Cost of Privacy: Rates of Convergence for Parameter Estimation with Differential Privacy
T. Tony Cai, Yichen Wang, Linjun Zhang
We study the minimax cost of -differential privacy for mean estimation and Gaussian linear regression in low and high dimensions. For low-dimensional mean estimati…
Rate-Optimal Detection of Very Short Signal Segments
T. Tony Cai, Ming Yuan
Motivated by a range of applications in engineering and genomics, we consider in this paper detection of very short signal segments in three settings: signals with known shape, arb…