关于统计和功能数据分析的一些成果

Sophie Dabo-Niang, Julien Ah-Pine, Pamela Llop, A. Yao
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摘要

本文介绍了在函数数据分析环境中进行回归和分类的一些最新成果。第一项研究是在 Sobolev 空间中对函数数据进行分类的多重核 SVM,重点是优化原始函数每个导数的信息;第二项研究是基于输入/输出的函数数据分类聚合规则;最后一项研究是在函数数据位于有限维度子实体中时的回归问题。
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Some results on statistics and functional data analysis
This paper presents some recent results on regression and classification in Functional Data Analysis setting. The first work decated to Multiple kernel SVM for classifying functional data in Sobolev spaces focus on optimization of the information from each derivatives of the original functions, the second work devoted to An input/output-based aggregation rule for functional data classification when the last is interested with the problem of regression if the functional data lives in a finite dimensionnal submanifold.
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