16 citations · 46 across the 15 of their papers we have counts for
4 papers · 1 filter
Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections
Jian-Feng Cai, Dong Li, Jiaze Sun +1
Random projections are able to perform dimension reduction efficiently for datasets with nonlinear low-dimensional structures. One well-known example is that random matrices embed…
Singular vector and singular subspace distribution for the matrix denoising model
Zhigang Bao, Xiucai Ding, Ke Wang
In this paper, we study the matrix denosing model , where is a low-rank deterministic signal matrix and is a random noise matrix, and both are . In the sc…
A generalized Hardy-Ramanujan formula for the number of restricted integer partitions
Tiefeng Jiang, Ke Wang
We derive the asymptotic formula for , the number of partitions of integer with part size at most and length at most . We consider both and are compara…
Matrices with Gaussian noise: optimal estimates for singular subspace perturbation
Sean O'Rourke, Van Vu, Ke Wang
The Davis-Kahan-Wedin theorem describes how the singular subspaces of a matrix change when subjected to a small perturbation. This classic result is sharp in the worst cas…