8 citations · 33 across the 33 of their papers we have counts for
11 papers · 1 filter
Subsampling for tensor least squares: Optimization and statistical perspectives
Ling Tang, Hanyu Li
In this paper, we investigate the random subsampling method for tensor least squares problem with respect to the popular t-product. From the optimization perspective, we present th…
Randomized block subsampling Kaczmarz-Motzkin method
Yanjun Zhang, Hanyu Li
By introducing a subsampling strategy, we propose a randomized block Kaczmarz-Motzkin method for solving linear systems. Such strategy not only determines the block size, but also…
Practical Alternating Least Squares for Tensor Ring Decomposition
Yajie Yu, Hanyu Li
Tensor ring (TR) decomposition has been widely applied as an effective approach in a variety of applications to discover the hidden low-rank patterns in multidimensional data. A we…
On sketch-and-project methods for solving tensor equations
Ling Tang, Yanjun Zhang, Hanyu Li
We first propose the regular sketch-and-project method for solving tensor equations with respect to the popular t-product. Then, three adaptive sampling strategies and three corres…
Greedy capped nonlinear Kaczmarz methods
Yanjun Zhang, Hanyu Li
To solve nonlinear problems, we construct two kinds of greedy capped nonlinear Kaczmarz methods by setting a capped threshold and introducing an effective probability criterion for…
Greedy randomized sampling nonlinear Kaczmarz methods
Yanjun Zhang, Hanyu Li, Ling Tang
The nonlinear Kaczmarz method was recently proposed to solve the system of nonlinear equations. In this paper, we first discuss two greedy selection rules, i.e., the maximum residu…
Practical Sketching-Based Randomized Tensor Ring Decomposition
Yajie Yu, Hanyu Li
Based on sketching techniques, we propose two randomized algorithms for tensor ring (TR) decomposition. Specifically, by defining new tensor products and investigating their proper…
Optimal Subsampling for High-dimensional Ridge Regression
Hanyu Li, Chengmei Niu
We investigate the feature compression of high-dimensional ridge regression using the optimal subsampling technique. Specifically, based on the basic framework of random sampling a…
On Convergence Lemma and Convergence Stability for Piecewise Analytic Functions
Xiaotie Deng, Hanyu Li, Ningyuan Li
In this work, a convergence lemma for function being finite compositions of analytic mappings and the maximum operator is proved. The lemma shows that the set of -stationary…
Splitting-based randomized iterative methods for solving indefinite least squares problem
Yanjun Zhang, Hanyu Li
The indefinite least squares (ILS) problem is a generalization of the famous linear least squares problem. It minimizes an indefinite quadratic form with respect to a signature mat…
Sketch-and-project methods for tensor linear systems
Ling Tang, Yajie Yu, Yanjun Zhang +1
For tensor linear systems with respect to the popular t-product, we first present the sketch-and-project method and its adaptive variants. Their Fourier domain versions are also in…