Hua Xiang

A quantum-inspired algorithm for approximating statistical leverage scores

2021 · arXiv (Cornell University)

Suppose a matrix $A \in \mathbb{R}^{m \times n}$ of rank $r$ with singular value decomposition $A = U_{A}Σ_{A} V_{A}^{T}$, where $U_{A} \in \mathbb{R}^{m \times r}$, $V_{A} \in \mathbb{R}^{n \times r}$ are orthonormal and $Σ_{A} \in …

Application of collaborative filtering algorithm based on time decay function in music teaching recommendation model

2024 · PeerJ Computer Science

To address the issues of data sparsity, scalability, and cold start in the traditional teaching resource recommendation process, this paper presents an enhanced collaborative filtering (CF) recommendation algorithm incorporating a time decay (TD) function. By …