Search Results - "Shang, Zuofeng"
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1
Distributed adaptive nearest neighbor classifier: algorithm and theory
Published in Statistics and computing (01-10-2023)“…When data is of an extraordinarily large size or physically stored in different locations, the distributed nearest neighbor (NN) classifier is an attractive…”
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2
Consistency of Bayesian linear model selection with a growing number of parameters
Published in Journal of statistical planning and inference (01-11-2011)“…Linear models with a growing number of parameters have been widely used in modern statistics. One important problem about this kind of model is the variable…”
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Heterogeneous dense subhypergraph detection
Published in Statistica Neerlandica (01-11-2024)“…We study the problem of testing the existence of a heterogeneous dense subhypergraph. The null hypothesis corresponds to a heterogeneous Erdös–Rényi uniform…”
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NONPARAMETRIC INFERENCE IN GENERALIZED FUNCTIONAL LINEAR MODELS
Published in The Annals of statistics (01-08-2015)“…We propose a roughness regularization approach in making nonparametric inference for generalized functional linear models. In a reproducing kernel Hubert space…”
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5
Vector sampling expansions in shift invariant subspaces
Published in Journal of mathematical analysis and applications (15-01-2007)“…Multi-input multi-output (MIMO) sampling scheme which is motivated by applications in multi-channel deconvolution and multi-source separation has been…”
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LOCAL AND GLOBAL ASYMPTOTIC INFERENCE IN SMOOTHING SPLINE MODELS
Published in The Annals of statistics (01-10-2013)“…This article studies local and global inference for smoothing spline estimation in a unified asymptotic framework. We first introduce a new technical tool…”
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Optimal nonparametric inference via deep neural network
Published in Journal of mathematical analysis and applications (15-01-2022)“…Deep neural network is a state-of-art method in modern science and technology. Much statistical literature have been devoted to understanding its performance…”
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8
Minimax optimal high‐dimensional classification using deep neural networks
Published in Stat (International Statistical Institute) (01-12-2022)“…High‐dimensional classification is a fundamentally important research problem in high‐dimensional data analysis. In this paper, we derive a nonasymptotic rate…”
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Information limits for detecting a subhypergraph
Published in Stat (International Statistical Institute) (01-12-2021)“…We consider the problem of recovering a subhypergraph based on an observed adjacency tensor corresponding to a uniform hypergraph. The uniform hypergraph is…”
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JOINT ASYMPTOTICS FOR SEMI-NONPARAMETRIC REGRESSION MODELS WITH PARTIALLY LINEAR STRUCTURE
Published in The Annals of statistics (01-06-2015)“…We consider a joint asymptotic framework for studying semi-nonparametric regression models where (finite-dimensional) Euclidean parameters and…”
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11
Deep neural network classifier for multidimensional functional data
Published in Scandinavian journal of statistics (01-12-2023)“…We propose a new approach, called as functional deep neural network (FDNN), for classifying multidimensional functional data. Specifically, a deep neural…”
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12
Testing community structure for hypergraphs
Published in The Annals of statistics (01-02-2022)“…Many complex networks in the real world can be formulated as hypergraphs where community detection has been widely used. However, the fundamental question of…”
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Nonparametric Testing under Randomized Sketching
Published in IEEE transactions on pattern analysis and machine intelligence (01-08-2022)“…A common challenge in nonparametric inference is its high computational complexity when data volume is large. In this paper, we develop computationally…”
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14
A likelihood-ratio type test for stochastic block models with bounded degrees
Published in Journal of statistical planning and inference (01-07-2022)“…A fundamental problem in network data analysis is to test Erdös–Rényi model Gn,a+b2n versus a bisection stochastic block model Gn,an,bn, where a,b>0 are…”
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15
Distributed Generalized Cross-Validation for Divide-and-Conquer Kernel Ridge Regression and Its Asymptotic Optimality
Published in Journal of computational and graphical statistics (02-10-2019)“…Tuning parameter selection is of critical importance for kernel ridge regression. To date, a data-driven tuning method for divide-and-conquer kernel ridge…”
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Online statistical inference for parameters estimation with linear-equality constraints
Published in Journal of multivariate analysis (01-09-2022)“…Stochastic gradient descent (SGD) and projected stochastic gradient descent (PSGD) are scalable algorithms to compute model parameters in unconstrained and…”
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17
Statistical Inference on Panel Data Models: A Kernel Ridge Regression Method
Published in Journal of business & economic statistics (2021)“…We propose statistical inferential procedures for nonparametric panel data models with interactive fixed effects in a kernel ridge regression framework…”
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Optimal Classification for Functional Data
Published in Statistica Sinica (01-07-2024)Get full text
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Calibrating multi-dimensional complex ODE from noisy data via deep neural networks
Published in Journal of statistical planning and inference (01-09-2024)“…Ordinary differential equations (ODEs) are widely used to model complex dynamics that arise in biology, chemistry, engineering, finance, physics, etc…”
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Identification and estimation in panel models with overspecified number of groups
Published in Journal of econometrics (01-04-2020)“…We propose a simple and fast approach to identify and estimate the unknown group structure in panel models by adapting the M-estimation method. We consider…”
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