论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

 

一、本文创新点

二、建模

三、CMTF-OPT

四、处理缺失数据的耦合张量-矩阵分解


一、本文创新点

1、大家都清楚,如果有多组数据进行分析,缺失的数据的*度自然就低了,也更方便进行预测或天从,因此引起了大家对耦合张量,耦合矩阵研究的热潮。本文只要针对张量与矩阵耦合的问题(简称CMTF),提出了一种基于梯度优化的算法(称为CMTF-OPT)

2、CMTF-OPT的提出是针对已存在的ALS算法。

二、建模

问题的基本模型为:

                                 论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

下面先写出利用ALS算法解决的算法框架                 

      论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

三、CMTF-OPT

                 论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

             论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

 

论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

 

论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

四、处理缺失数据的耦合张量-矩阵分解

论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations

论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations论文笔记:All-at-once Optimization for Coupled Matrix and Tensor Factorizations