應(yīng)yl7703永利官網(wǎng)李朋副教授邀請, 北京航空航天大學(xué)數(shù)學(xué)科學(xué)學(xué)院陳迪榮教授, 將于5 月26號(星期四)上午9:00在線舉辦學(xué)術(shù)報告.

報告題目：Adaptive estimation for functional data: Using a framelet block-thresholding method

報告時間：5月26號(星期四)上午9:00

騰訊會議ID: 553-876-294

報告摘要: Nonparametric estimation of mean and covariance functions based on discretely observed data is important in functional data analysis. In this talk, we propose a framelet block-thresholding method for estimating mean and covariance functions from discretely sampled noisy observations. Estimated convergence rates are established for all types of sampling schemes. In particular, the results reveal a phase transition phenomenon related to the number of observations on each curve. The procedures are adaptive in automatically adjusting the smoothness properties of the underlying mean and covariance functions. In contrast, theoretical results for other smoothing methods hold in the setting where smoothness parameters are assumed to be known, since the regularization parameters of estimators that depend on smoothness properties need to be chosen carefully. Simulation studies and real data examples are provided to offer empirical support for the theoretical results. A comparison with other methods demonstrates that the proposed method outperforms in adaptivity.

報告人簡介

陳迪榮，北京航空航天大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授, 北航“藍(lán)天學(xué)者”特聘教授,博士生導(dǎo)師.1982年1月獲學(xué)士學(xué)位(華中師范大學(xué)),1992年7月獲博士學(xué)位(北京師范大學(xué)). 主要從事統(tǒng)計學(xué)習(xí)理論,函數(shù)型數(shù)據(jù)分析, 以及在國防工程技術(shù)中應(yīng)用研究,取得了具有國際先進(jìn)水平的成果. 獲教育部2012年度自然科學(xué)二等獎. 先后主持國家自然科學(xué)基金8項,“863”課題3項,“973”計劃子課題1項. 發(fā)表SCI論文數(shù)十篇, 其中多篇發(fā)表在權(quán)威刊物Appl. Comput. Harmonic Anal., Found. Comput. Math., SIAM J. Math. Anal., SIAM J. Numer. Anal., IEEE Trans. Automatic Control, IEEE Trans Inform. Theory,J. Machine Learn. Research等上,單篇論文被SCI引用最高近兩百次.

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