Zuowei Shen

J. Mach. Learn. Res., 2022

Integral Autoencoder Network for Discretization-Invariant Learning.

[BibT_eX]

[DOI]

Yong Zheng Ong

J. Mach. Learn. Res., 2022

On the Universal Approximation Property of Deep Fully Convolutional Neural Networks.

[BibT_eX]

[DOI]

Ting Lin

CoRR, 2022

Deep Neural Network Approximation of Invariant Functions through Dynamical Systems.

[BibT_eX]

[DOI]

Ting Lin

CoRR, 2022

IAE-Net: Integral Autoencoders for Discretization-Invariant Learning.

[BibT_eX]

[DOI]

Yong Zheng Ong

CoRR, 2022

Aquila: A unified, low-latency fabric for datacenter networks.

[BibT_eX]

[DOI]

Proceedings of the 19th USENIX Symposium on Networked Systems Design and Implementation, 2022

Neural Network Architecture Beyond Width and Depth.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Deep Network Approximation in Terms of Intrinsic Parameters.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2022

2021

Approximation from Noisy Data.

[BibT_eX]

[DOI]

Jianbin Yang

SIAM J. Numer. Anal., 2021

Deep Network Approximation for Smooth Functions.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2021

Neural network approximation: Three hidden layers are enough.

[BibT_eX]

[DOI]

Neural Networks, 2021

Deep Network With Approximation Error Being Reciprocal of Width to Power of Square Root of Depth.

[BibT_eX]

[DOI]

Neural Comput., 2021

ReLU Network Approximation in Terms of Intrinsic Parameters.

[BibT_eX]

[DOI]

CoRR, 2021

Optimal Approximation Rate of ReLU Networks in terms of Width and Depth.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Multiscale Discrete Framelet Transform for Graph-Structured Signals.

[BibT_eX]

[DOI]

Yufei Zhao

Multiscale Model. Simul., 2020

Deep Network Approximation with Discrepancy Being Reciprocal of Width to Power of Depth.

[BibT_eX]

[DOI]

CoRR, 2020

Optimization in Machine Learning: A Distribution Space Approach.

[BibT_eX]

[DOI]

Yongqiang Cai

CoRR, 2020

2019

Nonlinear approximation via compositions.

[BibT_eX]

[DOI]

Neural Networks, 2019

Deep Learning via Dynamical Systems: An Approximation Perspective.

[BibT_eX]

[DOI]

Ting Lin

CoRR, 2019

Deep Network Approximation Characterized by Number of Neurons.

[BibT_eX]

[DOI]

CoRR, 2019

A Quantitative Analysis of the Effect of Batch Normalization on Gradient Descent.

[BibT_eX]

[DOI]

Yongqiang Cai

Proceedings of the 36th International Conference on Machine Learning, 2019

2018

Coherence Retrieval Using Trace Regularization.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2018

Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness.

[BibT_eX]

[DOI]

Math. Comput., 2018

Digital Gabor filters with MRA structure.

[BibT_eX]

[DOI]

Yufei Zhao

Multiscale Model. Simul., 2018

B-spline tight frame based force matching method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2018

On the Convergence and Robustness of Batch Normalization.

[BibT_eX]

[DOI]

Yongqiang Cai

CoRR, 2018

2017

Image Restoration: A General Wavelet Frame Based Model and Its Asymptotic Analysis.

[BibT_eX]

[DOI]

Peichu Xie

SIAM J. Math. Anal., 2017

Image Restoration: Wavelet Frame Shrinkage, Nonlinear Evolution PDEs, and Beyond.

[BibT_eX]

[DOI]

Qingtang Jiang

Multiscale Model. Simul., 2017

2016

A Wavelet Frame Method with Shape Prior for Ultrasound Video Segmentation.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2016

Dictionary Learning for Sparse Coding: Algorithms and Convergence Analysis.

[BibT_eX]

[DOI]

IEEE Trans. Pattern Anal. Mach. Intell., 2016

Dual Gramian analysis: Duality principle and unitary extension principle.

[BibT_eX]

[DOI]

Zhitao Fan

Math. Comput., 2016

2015

Data-Driven Multi-scale Non-local Wavelet Frame Construction and Image Recovery.

[BibT_eX]

[DOI]

Yuhui Quan

J. Sci. Comput., 2015

Tight wavelet frames in low dimensions with canonical filters.

[BibT_eX]

[DOI]

Qingtang Jiang

J. Approx. Theory, 2015

2014

Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2014

Wavelet Frame Based Algorithm for 3D Reconstruction in Electron Microscopy.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

Image Restoration with Mixed or Unknown Noises.

[BibT_eX]

[DOI]

Zheng Gong

Kim-Chuan Toh

Multiscale Model. Simul., 2014

Surveillance Video Analysis Using Compressive Sensing With Low Latency.

[BibT_eX]

[DOI]

Bell Labs Tech. J., 2014

L0 Norm Based Dictionary Learning by Proximal Methods with Global Convergence.

[BibT_eX]

[DOI]

Proceedings of the 2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014

2013

On B-Spline Framelets Derived from the Unitary Extension Principle.

[BibT_eX]

[DOI]

Zhiqiang Xu

SIAM J. Math. Anal., 2013

Wavelet Frame Based Multiphase Image Segmentation.

[BibT_eX]

[DOI]

Cheng Tai

Xiaoqun Zhang

SIAM J. Imaging Sci., 2013

Recovering Over-/Underexposed Regions in Photographs.

[BibT_eX]

[DOI]

Likun Hou

SIAM J. Imaging Sci., 2013

X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting.

[BibT_eX]

[DOI]

Jia Li

J. Sci. Comput., 2013

Surveillance Video Processing Using Compressive Sensing

[BibT_eX]

[DOI]

Hong Jiang

Wei Deng

CoRR, 2013

Adaptive low rank and sparse decomposition of video using compressive sensing.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Image Processing, 2013

2012

Framelet-Based Blind Motion Deblurring From a Single Image.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 2012

2011

Adaptive Multiresolution Analysis Structures and Shearlet Systems.

[BibT_eX]

[DOI]

Bin Han

Gitta Kutyniok

SIAM J. Numer. Anal., 2011

An Accelerated Proximal Gradient Algorithm for Frame-Based Image Restoration via the Balanced Approach.

[BibT_eX]

[DOI]

Kim-Chuan Toh

Sangwoon Yun

SIAM J. Imaging Sci., 2011

Robust Video Restoration by Joint Sparse and Low Rank Matrix Approximation.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2011

Wavelet frame based surface reconstruction from unorganized points.

[BibT_eX]

[DOI]

J. Comput. Phys., 2011

2010

A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2010

A Singular Value Thresholding Algorithm for Matrix Completion.

[BibT_eX]

[DOI]

Emmanuel J. Candès

SIAM J. Optim., 2010

Wavelet frame based scene reconstruction from range data.

[BibT_eX]

[DOI]

Yuhong Xu

J. Comput. Phys., 2010

Robust video denoising using low rank matrix completion.

[BibT_eX]

[DOI]

Proceedings of the Twenty-Third IEEE Conference on Computer Vision and Pattern Recognition, 2010

2009

Linearized Bregman Iterations for Frame-Based Image Deblurring.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2009

Simultaneously inpainting in image and transformed domains.

[BibT_eX]

[DOI]

Numerische Mathematik, 2009

Convergence of the linearized Bregman iteration for ℓ1-norm minimization.

[BibT_eX]

[DOI]

Math. Comput., 2009

Linearized Bregman iterations for compressed sensing.

[BibT_eX]

[DOI]

Math. Comput., 2009

Split Bregman Methods and Frame Based Image Restoration.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2009

Blind motion deblurring using multiple images.

[BibT_eX]

[DOI]

J. Comput. Phys., 2009

Scattered data reconstruction by regularization in B-spline and associated wavelet spaces.

[BibT_eX]

[DOI]

Michael J. Johnson

Yuhong Xu

J. Approx. Theory, 2009

Convergence analysis of tight framelet approach for missing data recovery.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2009

Wavelet Leader multifractal analysis for texture classification.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Image Processing, 2009

High-quality curvelet-based motion deblurring from an image pair.

[BibT_eX]

[DOI]

Proceedings of the 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2009), 2009

Blind motion deblurring from a single image using sparse approximation.

[BibT_eX]

[DOI]

Proceedings of the 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2009), 2009

2008

Restoration of Chopped and Nodded Images by Framelets.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

Compactly Supported Symmetric C∞ Wavelets with Spectral Approximation Order.

[BibT_eX]

[DOI]

Bin Han

SIAM J. Math. Anal., 2008

Polynomial reproduction by symmetric subdivision schemes.

[BibT_eX]

[DOI]

J. Approx. Theory, 2008

2007

Deconvolution: a wavelet frame approach.

[BibT_eX]

[DOI]

Anwei Chai

Numerische Mathematik, 2007

A pair of orthogonal frames.

[BibT_eX]

[DOI]

J. Approx. Theory, 2007

2006

Subjective and Objective Comparison of Advanced Motion Compensation Methods for Blocking Artifact Reduction in a 3-D Wavelet Coding System.

[BibT_eX]

[DOI]

IEEE Trans. Circuits Syst. Video Technol., 2006

Wavelets with Short Support.

[BibT_eX]

[DOI]

Bin Han

SIAM J. Math. Anal., 2006

Construction of biorthogonal wavelets from pseudo-splines.

[BibT_eX]

[DOI]

J. Approx. Theory, 2006

2005

A Hybrid Motion Compensated 3-D Video Coding System for Blocking Artifacts Reduction.

[BibT_eX]

[DOI]

Proceedings of the Advances in Multimedia Information Processing, 2005

Advanced motion compensation techniques for blocking artifacts reduction in 3-D video coding systems.

[BibT_eX]

[DOI]

Proceedings of the 2005 International Conference on Image Processing, 2005

Resolution enhancement for video clips: tight frame approach.

[BibT_eX]

[DOI]

Raymond H. Chan

Sherman D. Riemenschneider

Tao Xia

Proceedings of the Advanced Video and Signal Based Surveillance, 2005

2004

High-resolution image reconstruction with displacement errors: A framelet approach.

[BibT_eX]

[DOI]

Raymond H. Chan

Lixin Shen

Int. J. Imaging Syst. Technol., 2004

2003

Wavelet Algorithms for High-Resolution Image Reconstruction.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

2001

A data-adaptive knot selection scheme for fitting splines.

[BibT_eX]

[DOI]

Xuming He

Lixin Shen

IEEE Signal Process. Lett., 2001

Computing the Sobolev Regularity of Refinable Functions by the Arnoldi Method.

[BibT_eX]

[DOI]

Amos Ron

Kim-Chuan Toh

SIAM J. Matrix Anal. Appl., 2001

2000

Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations.

[BibT_eX]

[DOI]

Rong-Qing Jia

Qingtang Jiang

SIAM J. Math. Anal., 2000

1999

Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1999

1998

Compactly supported tight affine spline frames in L2(Rd).

[BibT_eX]

[DOI]

Amos Ron

Math. Comput., 1998

1996

An algorithm for matrix extension and wavelet construction.

[BibT_eX]

[DOI]

Wayne Lawton

S. L. Lee

Math. Comput., 1996

1995

Characterization of compactly supported refinable splines.

[BibT_eX]

[DOI]

Wayne Lawton

S. L. Lee