中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Model loss and distribution analysis of regression problems in machine learning

文献类型:会议论文

作者Wang TR(王天然)1,2,3; Yang N(杨楠)1,2,3; Zheng ZY(郑泽宇)1,2,3
出版日期2019
会议日期February 22-24, 2019
会议地点Zhuhai, China
关键词Statistics machine learning regression model maximum likelihood
页码1-5
英文摘要The machine learning regression model is based on the assumption of normal distribution. In this paper, we mainly study the probability distribution of the machine learning model and the effect of the convergence values of different loss functions on the probability distribution model. Based on the idea of robust regression and the assumption of homogeneous variance of the model, we solved the statistical solution of two-dimensional regression problem by using least square method. The maximum likelihood estimation parameters of the probabilistic model are obtained by using the maximum likelihood estimation method. In order to compare the solving parameters of the two methods, the convergence values of L1 loss function and L2 loss function are used for the regression verification. Through the mathematical and statistical rigorous derivation, obtained two important conclusions; First, under the condition that the data satisfies normal distribution and is based on the assumption of homogeneous variance, the probability model conforms to the multivariate gaussian distribution. Secondly, the model satisfying the multi-gaussian distribution has little influence on the parameter estimation under the condition of the large number theorem, that is, the multi-gaussian distribution model has good tolerance to the loss function. © 2019 Association for Computing Machinery.
源文献作者Asia Society of Researchers ; Metropolitan State University of Denver ; Southwest Jiaotong University ; University of Macau
产权排序1
会议录ACM International Conference Proceeding Series
会议录出版者ACM
会议录出版地New York
语种英语
ISBN号978-1-4503-6600-7
源URL[http://ir.sia.cn/handle/173321/24686]  
专题沈阳自动化研究所_数字工厂研究室
通讯作者Yang N(杨楠)
作者单位1.University of Chinese Academy of Sciences, Beijing 1000049, China
2.Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences, Shenyang 110016, China
3.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
推荐引用方式
GB/T 7714
Wang TR,Yang N,Zheng ZY. Model loss and distribution analysis of regression problems in machine learning[C]. 见:. Zhuhai, China. February 22-24, 2019.

入库方式: OAI收割

来源:沈阳自动化研究所

浏览0
下载0
收藏0
其他版本

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。