5 papers
Nonparametric Trace Regression in High Dimensions via Sign Series Representation
Chanwoo Lee, Lexin Li, Hao Helen Zhang +1
Learning of matrix-valued data has recently surged in a range of scientific and business applications. Trace regression is a widely used method to model effects of matrix predictor…
Beyond the Signs: Nonparametric Tensor Completion via Sign Series
Chanwoo Lee, Miaoyan Wang
We consider the problem of tensor estimation from noisy observations with possibly missing entries. A nonparametric approach to tensor completion is developed based on a new model…
Tensor denoising and completion based on ordinal observations
Chanwoo Lee, Miaoyan Wang
Higher-order tensors arise frequently in applications such as neuroimaging, recommendation system, social network analysis, and psychological studies. We consider the problem of lo…
Multiway clustering via tensor block models
Miaoyan Wang, Yuchen Zeng
We consider the problem of identifying multiway block structure from a large noisy tensor. Such problems arise frequently in applications such as genomics, recommendation system, t…
Learning from Binary Multiway Data: Probabilistic Tensor Decomposition and its Statistical Optimality
Miaoyan Wang, Lexin Li
We consider the problem of decomposing a higher-order tensor with binary entries. Such data problems arise frequently in applications such as neuroimaging, recommendation system, t…