6 papers
Gaffke's confidence interval for the mean of bounded data is inadmissible but asymptotically efficient
Jiahao Ming, Aaditya Ramdas, Yi Shen +2
Given observations , Gaffke (2005) defined \[ K_n(\mathbf x)=\mathbb{P}_{\mathbf D}\!\left\{\sum_{i=1}^n x_iD_i\le 1\right\}, \qquad (D_0,D_1,\ldots,D_n)…
Stability of Constrained Optimization Models for Structured Signal Recovery
Yijun Zhong, Yi Shen
Recovering an unknown but structured signal from its measurements is a challenging problem with significant applications in fields such as imaging restoration, wireless communicati…
Geometric Analysis of Unconstrained Feature Models with
Yi Shen, Shao Gu
Recently, interesting empirical phenomena known as Neural Collapse have been observed during the final phase of training deep neural networks for classification tasks. We examine t…
First Passage Percolation with Queried Hints
Kritkorn Karntikoon, Yiheng Shen, Sreenivas Gollapudi +3
Solving optimization problems leads to elegant and practical solutions in a wide variety of real-world applications. In many of those real-world applications, some of the informati…
Partial Law Invariance and Risk Measures
Yi Shen, Zachary Van Oosten, Ruodu Wang
We introduce the concept of partial law invariance, generalizing the concepts of law invariance and probabilistic sophistication widely used in decision theory, as well as statisti…
Local behavior of critical points of isotropic Gaussian random fields
Paul Marriott, Weinan Qi, Yi Shen
In this paper we examine isotropic Gaussian random fields defined on satisfying certain conditions. Specifically, we investigate the type of a critical point situated…