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Optimal prediction for high-dimensional functional quantile regression in reproducing kernel Hilbert spaces

期刊: JOURNAL OF COMPLEXITY, 2021; 66 ()

Regression problems with multiple functional predictors have been studied previously. In this paper, we investigate functional quantile linear regress......

Robust pairwise learning with Huber loss

期刊: JOURNAL OF COMPLEXITY, 2021; 66 ()

Pairwise learning naturally arises from machine learning tasks such as AUC maximization, ranking, and metric learning. In this paper we propose a new ......

A note on (s, t)-weak tractability of the weighted star discrepancy of regular grids

期刊: JOURNAL OF COMPLEXITY, 2021; 66 ()

In this paper we study (s, t)-weak tractability of the weighted star discrepancy with general coefficients of centered regular grids with different me......

Regularization in a functional reproducing kernel Hilbert space

期刊: JOURNAL OF COMPLEXITY, 2021; 66 ()

We consider solving a system of semi-discrete first kind integral equations with a right-hand-side being a finite dimensional vector of sampling value......

On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative

期刊: JOURNAL OF COMPLEXITY, 2021; 64 ()

Ball convergence results are very important, since they demonstrate the complexity in choosing initial points for iterative methods. One of the most i......

Multi-task Learning in vector-valued reproducing kernel Banach spaces with the l(1) norm

期刊: JOURNAL OF COMPLEXITY, 2021; 63 ()

Targeting at sparse multi-task learning, we consider regularization models with an l(1) penalty on the coefficients of kernel functions. In order to p......

Optimal subsampling for large-scale quantile regression

期刊: JOURNAL OF COMPLEXITY, 2021; 62 ()

To deal with massive data sets, subsampling is known as an effective method which can significantly reduce computational costs in estimating model par......

On the power of standard information for L-2-approximation in the average case setting

期刊: JOURNAL OF COMPLEXITY, 2020; 59 ()

This paper studies the equivalence of tractability for classes of Lambda(std) of function evaluations and Lambda(all) of all continuous linear functio......

Iterative hard thresholding for compressed data separation

期刊: JOURNAL OF COMPLEXITY, 2020; 59 ()

We study the problem of reconstructing signals' distinct subcomponents, which are approximately sparse in morphologically different dictionaries, from......

Optimal learning rates for distribution regression

期刊: JOURNAL OF COMPLEXITY, 2020; 56 ()

We study a learning algorithm for distribution regression with regularized least squares. This algorithm, which contains two stages of sampling, aims ......

On local analysis

期刊: JOURNAL OF COMPLEXITY, 2020; 57 ()

We extend to Gaussian distributions a result providing smoothed analysis estimates for condition numbers given as relativized distances to ill-posedne......

Nonparametric regression using needlet kernels for spherical date

期刊: JOURNAL OF COMPLEXITY, 2019; 50 ()

Needlets have been recognized as state-of-the-art tools to tackle spherical data, due to their excellent localization properties in both spacial and f......

JIF:0.89

Approximation numbers of Sobolev and Gevrey type embeddings on the sphere and on the ball-Preasymptotics, asymptotics, and tractability

期刊: JOURNAL OF COMPLEXITY, 2019; 50 ()

In this paper, we investigate optimal linear approximations (n-approximation numbers) of the embeddings from the Sobolev spaces H-r (r > 0) for var......

JIF:0.89

A note about EC-(s, t)-weak tractability of multivariate approximation with analytic Korobov kernels

期刊: JOURNAL OF COMPLEXITY, 2019; 55 ()

This paper is devoted to discussing multivariate approximation problems with analytic Korobov kernels in the worst and average case settings. We consi......

JIF:0.89

EC-(s, t)-weak tractability of multivariate linear problems in the average case setting

期刊: JOURNAL OF COMPLEXITY, 2019; 55 ()

We study EC-(s, t)-weak tractability of multivariate linear problems in the average case setting. This paper extends earlier work in the worst case se......

JIF:0.89

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