An improved uniform convergence bound with fat-shattering dimension

IF 0.7 4区计算机科学 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Information Processing Letters Pub Date : 2024-10-31 DOI:10.1016/j.ipl.2024.106539

Roberto Colomboni , Emmanuel Esposito , Andrea Paudice

引用次数: 0

Abstract

The fat-shattering dimension characterizes the uniform convergence property of real-valued function classes. The state-of-the-art upper bounds in [6] feature a multiplicative squared logarithmic factor on the sample complexity, leaving an open gap with the existing lower bound. By relying on a refined packing number bound given in [20], we provide an improved uniform convergence bound that closes this gap.

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具有碎脂维度的改进均匀收敛约束

碎脂维度表征了实值函数类的均匀收敛特性。文献[6]中最先进的上界以样本复杂度的乘方对数因子为特征，与现有的下界存在差距。通过依赖 [20] 中给出的精炼堆积数边界，我们提供了一个改进的均匀收敛边界，缩小了这一差距。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Information Processing Letters 工程技术-计算机：信息系统

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

7.3 months

期刊介绍： Information Processing Letters invites submission of original research articles that focus on fundamental aspects of information processing and computing. This naturally includes work in the broadly understood field of theoretical computer science; although papers in all areas of scientific inquiry will be given consideration, provided that they describe research contributions credibly motivated by applications to computing and involve rigorous methodology. High quality experimental papers that address topics of sufficiently broad interest may also be considered. Since its inception in 1971, Information Processing Letters has served as a forum for timely dissemination of short, concise and focused research contributions. Continuing with this tradition, and to expedite the reviewing process, manuscripts are generally limited in length to nine pages when they appear in print.