论文标题
使用矩阵铅笔量化微分信息
Quantification of Differential Information using Matrix Pencil
论文作者
论文摘要
通常,任何传统的分类问题都涉及对单个类建模和通过评估测试集与建模类的相似性来对单个类进行建模和分类。在本文中,我们介绍了另一种方法,该方法将在两个类之间找到差异信息,而不是单独对单个类建模。这些课程是在一个共同的参考框架上查看的,其中一个班级将具有恒定的差异,与其他类别不同,与另一个班级不同的是,沿其基础向量有不平等的差异,该阶层将捕获一个类别的差异信息,而当数学上提出的情况下,这会导致基质铅笔方程的解决方案。 MNIST数据库。
Any traditional classification problem in general involves modelling individual classes and in turn classification by evaluating the similarity of the test set with the modelled classes. In this paper, we introduce another approach that would find the differential information between two classes rather than modelling individual classes separately. The classes are viewed on a common frame of reference in which one class would have a constant variance, unlike the other class which would have unequal variance along its basis vectors which would capture the differential information of one class over the other.This, when mathematically formulated, leads to the solution of Matrix Pencil equation.The theory of binary classification was extended to a multi-class scenario.This is borne out by illustrative examples on the classification of the MNIST database.