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学者姓名：刘有明
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摘要 ：
Cai and Zhang (2018) established separate perturbation upper bound estimators for canonical correlation directions under centered Gaussian population and some conditions on the minimum singular value sigma(r)(S) of a correlation matrix S . They posed an open problem for the optimality of their estimators. In this paper, the optimality of Cai and Zhang's estimation is firstly proved up to some multiplicated constants. Then motivated by Ma and Li's work (Ma and Li, 2020), we give an upper bound estimation for centered sub-Gaussian population, and a better estimate for bounded sub-Gaussian population. Finally, all estimates are extended from centered population to non-centered one. (C) 2021 Elsevier Inc. All rights reserved.
关键词 ：
Singular value decomposition Singular value decomposition Canonical correlation directions Canonical correlation directions Gaussian and sub-Gaussian population Gaussian and sub-Gaussian population Optimal estimation Optimal estimation sine Theta distance sine Theta distance
引用：
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| GB/T 7714 | Liu, Youming , Ren, Chunguang . Estimation of canonical correlation directions: From Gaussian to sub-Gaussian population [J]. | JOURNAL OF MULTIVARIATE ANALYSIS , 2021 , 186 . |
| MLA | Liu, Youming 等. "Estimation of canonical correlation directions: From Gaussian to sub-Gaussian population" . | JOURNAL OF MULTIVARIATE ANALYSIS 186 (2021) . |
| APA | Liu, Youming , Ren, Chunguang . Estimation of canonical correlation directions: From Gaussian to sub-Gaussian population . | JOURNAL OF MULTIVARIATE ANALYSIS , 2021 , 186 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
As a technology of the green energy utilization, solar adsorption cooling is a promising way to make use of the solar energy in the future. Aiming to the efficiency improvement of such kind system, the performance of the solar adsorption cooling system that employed the silica gel-water as the working pair was evaluated experimentally. With a mono-axial solar collector of tracking parabolic trough to provide the heat supply to the adsorption bed, the effect of the adsorption time on the system performance was mainly addressed in the study. The experimental results revealed that the performance of the system reached the maximum as the adsorption time was 45 min. Correspondingly, the coefficient of performance of the system reached 0.258. In addition, a comparison of the optimal performance of the silica gel system to the SAPO-34 zeolite system was conducted. It was revealed that both the cooling capacity and the performance coefficient of the silica gel system depended more strongly on the adsorption time than those of the SAPO-34 zeolite system did. At the optimal adsorption time, the coefficient of performance of the silica gel system was 1.93 times as that of the SAPO-34 zeolite system. In general, the silica gel-water pair has shown better performance as compared to the SAPO-34 zeolite-water pair as used in the solar adsorption cooling system. © 2020 Elsevier Ltd
关键词 ：
Adsorption Adsorption Coefficient of performance Coefficient of performance Cooling Cooling Cooling systems Cooling systems Energy utilization Energy utilization Silica Silica Silica gel Silica gel Solar energy Solar energy Thermoelectric equipment Thermoelectric equipment Zeolites Zeolites
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| GB/T 7714 | Liu, Y.M. , Yuan, Z.X. , Wen, X. et al. Evaluation on performance of solar adsorption cooling of silica gel and SAPO-34 zeolite [J]. | Applied Thermal Engineering , 2021 , 182 . |
| MLA | Liu, Y.M. et al. "Evaluation on performance of solar adsorption cooling of silica gel and SAPO-34 zeolite" . | Applied Thermal Engineering 182 (2021) . |
| APA | Liu, Y.M. , Yuan, Z.X. , Wen, X. , Du, C.X. . Evaluation on performance of solar adsorption cooling of silica gel and SAPO-34 zeolite . | Applied Thermal Engineering , 2021 , 182 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The perfect achievements have been made for L-P (1 <= p < +infinity) risk estimation, when a density function has compact support. However, there does not exist L-1 risk estimation for uncompactly supported densities in general. Motivated by the work of Juditsky & Lambert-Lacroix (A. Juditsky and S. Lambert-Lacroix, On minimax density estimation on R, Bernoulli, 10(2004), 187-220) and Goldenshluger & Lepski (A. Goldenshluger and O. Lepski, On adaptive minimax density estimation on R-d, Probab. Theory Relat. Fields., 159(2014), 479-543), we provide an adaptive estimate for a family of density functions not necessarily having compact supports in this paper.
关键词 ：
Besov space Besov space convergence rate convergence rate density function density function L-1 risk L-1 risk wavelets wavelets
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| GB/T 7714 | Cao, Kaikai , Liu, Youming . UNCOMPACTLY SUPPORTED DENSITY ESTIMATION WITH L-1 RISK [J]. | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2020 , 19 (8) : 4007-4022 . |
| MLA | Cao, Kaikai et al. "UNCOMPACTLY SUPPORTED DENSITY ESTIMATION WITH L-1 RISK" . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 19 . 8 (2020) : 4007-4022 . |
| APA | Cao, Kaikai , Liu, Youming . UNCOMPACTLY SUPPORTED DENSITY ESTIMATION WITH L-1 RISK . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2020 , 19 (8) , 4007-4022 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Fan, Wang, and Zhong estimate the difference between the singular vectors of a matrix and those of a perturbed matrix in terms of the maximum norm. Their estimations are used effectively to establish the asymptotic properties of robust covariance estimators (see Journal ofMachine Learning Research, 2018;18:1-42). In this paper, we give the corresponding lower bound estimates, which show Fan-Wang-Zhong's estimations optimal.
关键词 ：
matrix norm matrix norm matrix perturbations matrix perturbations optimality optimality singular value decomposition singular value decomposition singular vector estimation singular vector estimation
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| GB/T 7714 | Liu, Youming , Qi, Xinyu . Optimality of singular vector perturbation under maximum norm [J]. | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2020 , 43 (8) : 5010-5018 . |
| MLA | Liu, Youming et al. "Optimality of singular vector perturbation under maximum norm" . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES 43 . 8 (2020) : 5010-5018 . |
| APA | Liu, Youming , Qi, Xinyu . Optimality of singular vector perturbation under maximum norm . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2020 , 43 (8) , 5010-5018 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This current paper shows the asymptotic normality for wavelet deconvolution density estimators, when a density function belongs to some L-P(R) (p > 2) and the noises are moderately ill-posed with the index beta. The estimators include both the linear and non-linear wavelet ones. It turns out that the situation for 0 < beta <= 1 is more complicated than that for beta > 1. (C) 2018 Elsevier Inc. All rights reserved.
关键词 ：
Central limit theorem Central limit theorem Deconvolution Deconvolution Density function Density function Wavelet estimator Wavelet estimator
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| GB/T 7714 | Liu, Youming , Zeng, Xiaochen . Asymptotic normality for wavelet deconvolution density estimators [J]. | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS , 2020 , 48 (1) : 321-342 . |
| MLA | Liu, Youming et al. "Asymptotic normality for wavelet deconvolution density estimators" . | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 48 . 1 (2020) : 321-342 . |
| APA | Liu, Youming , Zeng, Xiaochen . Asymptotic normality for wavelet deconvolution density estimators . | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS , 2020 , 48 (1) , 321-342 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
By using a kernel method, Lepski and Willer establish adaptive and optimal L-p risk estimations in the convolution structure density model in 2017 and 2019. They assume their density functions to be in a Nikol'skii space. Motivated by their work, we first use a linear wavelet estimator to obtain a point-wise optimal estimation in the same model. We allow our densities to be in a local and anisotropic Holder space. Then a data driven method is used to obtain an adaptive and near-optimal estimation. Finally, we show the logarithmic factor necessary to get the adaptivity.
关键词 ：
Adaptivity Adaptivity Anisotropic Holder space Anisotropic Holder space Density estimation Density estimation Generalized deconvolution model Generalized deconvolution model Optimality Optimality Point-wise risk Point-wise risk Wavelet Wavelet
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| GB/T 7714 | Liu, Youming , Wu, Cong . Point-Wise Wavelet Estimation in the Convolution Structure Density Model [J]. | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS , 2020 , 26 (6) . |
| MLA | Liu, Youming et al. "Point-Wise Wavelet Estimation in the Convolution Structure Density Model" . | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26 . 6 (2020) . |
| APA | Liu, Youming , Wu, Cong . Point-Wise Wavelet Estimation in the Convolution Structure Density Model . | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS , 2020 , 26 (6) . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Cai and Zhang establish separate perturbation bounds for sin Theta distances with spectral and Frobenius norms (Cai T, Zhang A. Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics. The Annals of Statistics. 2018; Vol. 46, No. 1: 60-89). We extend their theorem to each unitarily invariant norm. It turns out that our estimation is optimal as well.
关键词 ：
norms of matrices norms of matrices optimality optimality perturbation bounds perturbation bounds projection matrix projection matrix singular values singular values
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| GB/T 7714 | Liu, Youming , Ren, Chunguang . An optimal perturbation bound [J]. | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2019 , 42 (11) : 3791-3798 . |
| MLA | Liu, Youming et al. "An optimal perturbation bound" . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES 42 . 11 (2019) : 3791-3798 . |
| APA | Liu, Youming , Ren, Chunguang . An optimal perturbation bound . | MATHEMATICAL METHODS IN THE APPLIED SCIENCES , 2019 , 42 (11) , 3791-3798 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This paper studies multivariate wavelet regression estimators with errors-in-variables under strong mixing data. We firstly prove the strong consistency for non-oscillating and Fourier-oscillating noises. Then, a convergence rate is provided for non-oscillating noises, when an estimated function has some smoothness. Finally, the consistency and convergence rate are discussed for a practical wavelet estimator.
关键词 ：
Errors-in-variables Errors-in-variables Practical estimator Practical estimator Regression estimation Regression estimation Strong mixing Strong mixing Wavelets Wavelets
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| GB/T 7714 | Guo, Huijun , Liu, Youming . Regression estimation under strong mixing data [J]. | ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS , 2019 , 71 (3) : 553-576 . |
| MLA | Guo, Huijun et al. "Regression estimation under strong mixing data" . | ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS 71 . 3 (2019) : 553-576 . |
| APA | Guo, Huijun , Liu, Youming . Regression estimation under strong mixing data . | ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS , 2019 , 71 (3) , 553-576 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This paper considers point-wise estimation of density functions under the local anisotropic Holder condition by the wavelet method. A linear wavelet estimate is first introduced and shown to be optimal. A data driven version is provided for adaptivity and the influence of the dimension is reduced under the independence structure of the estimated density. (C) 2018 Elsevier Inc. All rights reserved.
关键词 ：
Adaptivity Adaptivity Anisotropic density Anisotropic density Local Holder condition Local Holder condition Optimality Optimality Point-wise estimation Point-wise estimation
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| GB/T 7714 | Liu, Youming , Wu, Cong . Point-wise estimation for anisotropic densities [J]. | JOURNAL OF MULTIVARIATE ANALYSIS , 2019 , 171 : 112-125 . |
| MLA | Liu, Youming et al. "Point-wise estimation for anisotropic densities" . | JOURNAL OF MULTIVARIATE ANALYSIS 171 (2019) : 112-125 . |
| APA | Liu, Youming , Wu, Cong . Point-wise estimation for anisotropic densities . | JOURNAL OF MULTIVARIATE ANALYSIS , 2019 , 171 , 112-125 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Using compactly supported wavelets, Gine and Nickl [Uniform limit theorems for wavelet density estimators, Ann. Probab. 37(4) (2009) 1605-1646] obtain the optimal strong L-infinity(R) convergence rates of wavelet estimators for a fixed noise-free density function. They also study the same problem by spline wavelets [Adaptive estimation of a distribution function and its density in sup-norm loss by wavelet and spline projections, Bernoulli 16(4) (2010) 1137-1163]. This paper considers the strong L-p(R) (1 <= p <= infinity) convergence of wavelet deconvolution density estimators. We first show the strong L-p consistency of our wavelet estimator, when the Fourier transform of the noise density has no zeros. Then strong L-p convergence rates are provided, when the noises are severely and moderately ill-posed. In particular, for moderately ill-posed noises and p = infinity, our convergence rate is close to Gine and Nickl's.
关键词 ：
additive noise additive noise bounded difference inequality bounded difference inequality density estimation density estimation strong convergence strong convergence Wavelets Wavelets
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| GB/T 7714 | Liu, Youming , Zeng, Xiaochen . Strong L-p convergence of wavelet deconvolution density estimators [J]. | ANALYSIS AND APPLICATIONS , 2018 , 16 (2) : 183-208 . |
| MLA | Liu, Youming et al. "Strong L-p convergence of wavelet deconvolution density estimators" . | ANALYSIS AND APPLICATIONS 16 . 2 (2018) : 183-208 . |
| APA | Liu, Youming , Zeng, Xiaochen . Strong L-p convergence of wavelet deconvolution density estimators . | ANALYSIS AND APPLICATIONS , 2018 , 16 (2) , 183-208 . |
| 导入链接 | NoteExpress RIS BibTex |
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