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张量完备的一种新的凸松弛方法

A New Convex Relaxation for Tensor Completion
课程网址: http://videolectures.net/lsoldm2013_romera_paredes_tensor_complet...  
主讲教师: Bernardino Romera-Paredes
开课单位: 牛津大学
开课时间: 2013-11-07
课程语种: 英语
中文简介:
作为矩阵完成的自然扩展,最近在协同过滤领域中,张量分解已经引起了人们的极大兴趣。这是由于张量能够对两个以上实体(例如用户,产品,方面和时间)之间的关系进行建模的能力。在我的研究中,我研究了有关产品的上下文信息可用的情况(如联合分析中的情况)。此场景被建模为一个多任务学习问题,其中输入数据是产品描述,以便为其余实体的所有组合学习任务,也就是说,在前面的示例中,将学习一个任务以预测产品的每个方面是每个用户在给定时间的价值。多线性代数概念用于描述结果问题。我将讨论解决该问题的不同方法,以及它们在管理大型数据集时所面临的挑战。
课程简介: Tensor factorization has received a lot of interest recently in the collaborative filtering field, as a natural extension of matrix completion. That is due to the capability of tensors to model the relationships between more than two entities, such as users, products, aspects, and time. In my research, I study the case where contextual information is available about the products (as in conjoint analysis). This scenario is modeled as a multitask learning problem where the input data are products descriptions so that tasks are learned for all combinations of the remaining entities, that is, in the previous example, a task will be learned to predict how each aspect of a product is valued by each user at a given time. Multilinear algebra concepts are used to describe the resultant problem. I will discuss different approaches to solve it and the challenges that they pose when managing large data sets.
关 键 词: 矩阵; 张量分解; 大型数据集
课程来源: 视频讲座网
数据采集: 2021-04-11:nkq
最后编审: 2021-04-11:nkq
阅读次数: 52