4 papers
Subspace Tensor Orthogonal Rotation Model (STORM) for Batch Alignment, Cell Type Deconvolution, and Gene Imputation in Spatial Transcriptomic Data
Sean Cottrell, Guo-Wei Wei, Longxiu Huang
Spatial transcriptomics data analysis integrates cellular transcriptional activity with spatial coordinates to identify spatial domains, infer cell-type dynamics, and characterize…
Quantile Randomized Kaczmarz Algorithm with Whitelist Trust Mechanism
Sofiia Shvaiko, Longxiu Huang, Elizaveta Rebrova
Randomized Kaczmarz (RK) is a simple and fast solver for consistent overdetermined systems, but it is known to be fragile under noise. We study overdetermined linear sy…
Coseparable Nonnegative Tensor Factorization With T-CUR Decomposition
Juefei Chen, Longxiu Huang, Yimin Wei
Nonnegative Matrix Factorization (NMF) is an important unsupervised learning method to extract meaningful features from data. To address the NMF problem within a polynomial time fr…
Learnable Scaled Gradient Descent for Guaranteed Robust Tensor PCA
Lanlan Feng, Ce Zhu, Yipeng Liu +2
Robust tensor principal component analysis (RTPCA) aims to separate the low-rank and sparse components from multi-dimensional data, making it an essential technique in the signal p…