当前位置: X-MOL 学术Mach. Learn. › 论文详情
A bad arm existence checking problem: How to utilize asymmetric problem structure?
Machine Learning ( IF 2.809 ) Pub Date : 2019-10-30 , DOI: 10.1007/s10994-019-05854-7
Koji Tabata, Atsuyoshi Nakamura, Junya Honda, Tamiki Komatsuzaki

Abstract We study a bad arm existence checking problem in a stochastic K-armed bandit setting, in which a player’s task is to judge whether a positive arm exists or all the arms are negative among given K arms by drawing as small number of arms as possible. Here, an arm is positive if its expected loss suffered by drawing the arm is at least a given threshold \(\theta _U\), and it is negative if that is less than another given threshold \(\theta _L(\le \theta _U)\). This problem is a formalization of diagnosis of disease or machine failure. An interesting structure of this problem is the asymmetry of positive and negative arms’ roles; finding one positive arm is enough to judge positive existence while all the arms must be discriminated as negative to judge whole negativity. In the case with \(\varDelta =\theta _U-\theta _L>0\), we propose elimination algorithms with arm selection policy (policy to determine the next arm to draw) and decision condition (condition to conclude positive arm’s existence or the drawn arm’s negativity) utilizing this asymmetric problem structure and prove its effectiveness theoretically and empirically.
更新日期:2020-03-02

 

全部期刊列表>>
智控未来
聚焦商业经济政治法律
跟Nature、Science文章学绘图
控制与机器人
招募海内外科研人才,上自然官网
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
x-mol收录
湖南大学化学化工学院刘松
上海有机所
李旸
南方科技大学
西湖大学
X-MOL
支志明
中山大学化学工程与技术学院
试剂库存
天合科研
down
wechat
bug