Minimax lower bounds for function estimation on graphs

被引：4

作者：

Kirichenko, Alisa ^{[1
,3
]}

van Zanten, Harry ^{[2
]}

机构：

[1] Ctr Waskunde Informat, POB 94079, NL-1090 GB Amsterdam, Netherlands

[2] Univ Amsterdam, Korteweg de Vries Inst Math, POB 94248, NL-1090 GE Amsterdam, Netherlands

[3] Univ Amsterdam, Amsterdam, Netherlands

来源：

ELECTRONIC JOURNAL OF STATISTICS | 2018年 / 12卷 / 01期

关键词：

Function estimation on graphs; minimax lower bounds; REGULARIZATION;

D O I：

10.1214/18-EJS1407

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study minimax lower bounds for function estimation problems on large graph when the target function is smoothly varying over the graph. We derive minimax rates in the context of regression and classification problems on graphs that satisfy an asymptotic shape assumption and with a smoothness condition on the target function, both formulated in terms of the graph Laplacian.

引用

页码：651 / 666

页数：16

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