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64 papers
On Lai's Upper Confidence Bound in Multi-Armed Bandits
Huachen Ren, Cun-Hui Zhang
In this memorial paper, we honor Tze Leung Lai's seminal contributions to the topic of multi-armed bandits, with a specific focus on his pioneering work on the upper confidence bou…
Adaptive Linear Estimating Equations
Mufang Ying, Koulik Khamaru, Cun-Hui Zhang
Sequential data collection has emerged as a widely adopted technique for enhancing the efficiency of data gathering processes. Despite its advantages, such data collection mechanis…
Choosing the in loss: rate adaptivity on the symmetric location problem
Yu-Chun Kao, Min Xu, Cun-Hui Zhang
Given univariate random variables with the distribution, the sample midrange is the MLE for …
High-Order Statistical Functional Expansion and Its Application To Some Nonsmooth Problems
Fan Zhou, Ping Li, Cun-Hui Zhang
Let $\bx_j = \btheta +\bep_j, j=1,...,n$, be observations of an unknown parameter $\btheta$ in a Euclidean or separable Hilbert space $\scrH$, where $\bep_j$ are noises as random e…
CP Factor Model for Dynamic Tensors
Yuefeng Han, Dan Yang, Cun-Hui Zhang +1
Observations in various applications are frequently represented as a time series of multidimensional arrays, called tensor time series, preserving the inherent multidimensional str…
Tensor Principal Component Analysis in High Dimensional CP Models
Yuefeng Han, Cun-Hui Zhang
The CP decomposition for high dimensional non-orthogonal spiked tensors is an important problem with broad applications across many disciplines. However, previous works with theore…