Coefficient-to-Basis Network: A Fine-Tunable Operator Learning Framework for Inverse Problems with Adaptive Discretizations and Theoretical Guarantees.

[BibT_eX]

[DOI]

Zecheng Zhang

Hao Liu

Wenjing Liao

Guang Lin

CoRR, March, 2025

2024

Learning Functions Varying along a Central Subspace.

[BibT_eX]

[DOI]

Hao Liu

Wenjing Liao

SIAM J. Math. Data Sci., 2024

Some notes on the basic concepts of support vector machines.

[BibT_eX]

[DOI]

J. Comput. Sci., 2024

Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2024

Neural Scaling Laws of Deep ReLU and Deep Operator Network: A Theoretical Study.

[BibT_eX]

[DOI]

CoRR, 2024

Deep Neural Networks are Adaptive to Function Regularity and Data Distribution in Approximation and Estimation.

[BibT_eX]

[DOI]

Hao Liu

Jiahui Cheng

Wenjing Liao

CoRR, 2024

Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning.

[BibT_eX]

[DOI]

CoRR, 2024

DFU: scale-robust diffusion model for zero-shot super-resolution image generation.

[BibT_eX]

[DOI]

CoRR, 2024

Understanding Scaling Laws with Statistical and Approximation Theory for Transformer Neural Networks on Intrinsically Low-dimensional Data.

[BibT_eX]

[DOI]

Alexander Havrilla

Wenjing Liao

Proceedings of the Advances in Neural Information Processing Systems 38: Annual Conference on Neural Information Processing Systems 2024, 2024

2023

Group Projected subspace pursuit for IDENTification of variable coefficient differential equations (GP-IDENT).

[BibT_eX]

[DOI]

J. Comput. Phys., December, 2023

WeakIdent: Weak formulation for identifying differential equation using narrow-fit and trimming.

[BibT_eX]

[DOI]

J. Comput. Phys., June, 2023

Fourier Features for Identifying Differential Equations (FourierIdent).

[BibT_eX]

[DOI]

CoRR, 2023

Deep Nonparametric Estimation of Intrinsic Data Structures by Chart Autoencoders: Generalization Error and Robustness.

[BibT_eX]

[DOI]

CoRR, 2023

Effective Minkowski Dimension of Deep Nonparametric Regression: Function Approximation and Statistical Theories.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2023

2022

Stability and Super-Resolution of MUSIC and ESPRIT for Multi-Snapshot Spectral Estimation.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2022

Robust Identification of Differential Equations by Numerical Techniques from a Single Set of Noisy Observation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2022

High Dimensional Binary Classification under Label Shift: Phase Transition and Regularization.

[BibT_eX]

[DOI]

CoRR, 2022

WeakIdent: Weak formulation for Identifying Differential Equations using Narrow-fit and Trimming.

[BibT_eX]

[DOI]

CoRR, 2022

Numerical Identification of Nonlocal Potential in Aggregation.

[BibT_eX]

[DOI]

CoRR, 2022

A Manifold Two-Sample Test Study: Integral Probability Metric with Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2022

On Deep Generative Models for Approximation and Estimation of Distributions on Manifolds.

[BibT_eX]

[DOI]

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

Benefits of Overparameterized Convolutional Residual Networks: Function Approximation under Smoothness Constraint.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2022

2021

An Automatic Denoising Method for NMR Spectroscopy Based on Low-Rank Hankel Model.

[BibT_eX]

[DOI]

IEEE Trans. Instrum. Meas., 2021

IDENT: Identifying Differential Equations with Numerical Time Evolution.

[BibT_eX]

[DOI]

Sung Ha Kang

Wenjing Liao

Yingjie Liu

J. Sci. Comput., 2021

Multiscale regression on unknown manifolds.

[BibT_eX]

[DOI]

Wenjing Liao

Mauro Maggioni

Stefano Vigogna

CoRR, 2021

Besov Function Approximation and Binary Classification on Low-Dimensional Manifolds Using Convolutional Residual Networks.

[BibT_eX]

[DOI]

Proceedings of the 38th International Conference on Machine Learning, 2021

2020

Super-Resolution Limit of the ESPRIT Algorithm.

[BibT_eX]

[DOI]

Weilin Li

Wenjing Liao

Albert Fannjiang

IEEE Trans. Inf. Theory, 2020

Doubly Robust Off-Policy Learning on Low-Dimensional Manifolds by Deep Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2020

Robust PDE Identification from Noisy Data.

[BibT_eX]

[DOI]

CoRR, 2020

Statistical Guarantees of Generative Adversarial Networks for Distribution Estimation.

[BibT_eX]

[DOI]

CoRR, 2020

Gaussian noise removal with exponential functions and spectral norm of weighted Hankel matrices.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Adaptive Geometric Multiscale Approximations for Intrinsically Low-dimensional Data.

[BibT_eX]

[DOI]

Wenjing Liao

Mauro Maggioni

J. Mach. Learn. Res., 2019

Conditioning of restricted Fourier matrices and super-resolution of MUSIC.

[BibT_eX]

[DOI]

Weilin Li

Wenjing Liao

CoRR, 2019

Efficient Approximation of Deep ReLU Networks for Functions on Low Dimensional Manifolds.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 32: Annual Conference on Neural Information Processing Systems 2019, 2019

2018

A Non-Convex Approach To Joint Sensor Calibration And Spectrum Estimation.

[BibT_eX]

[DOI]

Myung Cho

Wenjing Liao

Yuejie Chi

Proceedings of the 2018 IEEE Statistical Signal Processing Workshop, 2018

On the Tradeoff Between Data-Privacy and Utility for Data Publishing.

[BibT_eX]

[DOI]

Proceedings of the 24th IEEE International Conference on Parallel and Distributed Systems, 2018

2017

Stable super-resolution limit and smallest singular value of restricted Fourier matrices.

[BibT_eX]

[DOI]

Weilin Li

Wenjing Liao

CoRR, 2017

Sensor Calibration for Off-the-Grid Spectral Estimation.

[BibT_eX]

[DOI]

Yonina C. Eldar

Wenjing Liao

Sui Tang

CoRR, 2017

2016

Learning adaptive multiscale approximations to data and functions near low-dimensional sets.

[BibT_eX]

[DOI]

Wenjing Liao

Mauro Maggioni

Stefano Vigogna

Proceedings of the 2016 IEEE Information Theory Workshop, 2016

2015

MUSIC for Multidimensional Spectral Estimation: Stability and Super-Resolution.

[BibT_eX]

[DOI]

Wenjing Liao

IEEE Trans. Signal Process., 2015

2014

Contextual Patch Feature Learning for Face Recognition.

[BibT_eX]

[DOI]

Wenjing Liao

J. Softw., 2014

Ideal Code Constrained Supervised Sparse Coding.

[BibT_eX]

[DOI]

Wenjing Liao

Robert Williams

J. Comput., 2014

MUSIC for Single-Snapshot Spectral Estimation: Stability and Super-resolution.

[BibT_eX]

[DOI]

Wenjing Liao

Albert Fannjiang

CoRR, 2014

MUSIC for joint frequency estimation: Stability with compressive measurements.

[BibT_eX]

[DOI]

Wenjing Liao

Proceedings of the 2014 IEEE Global Conference on Signal and Information Processing, 2014

An Adaptive Skew Insensitive Join Algorithm for Large Scale Data Analytics.

[BibT_eX]

[DOI]

Proceedings of the Web Technologies and Applications - 16th Asia-Pacific Web Conference, 2014

2013

LSSVM Network Flow Prediction Based on the Self-adaptive Genetic Algorithm Optimization.

[BibT_eX]

[DOI]

Wenjing Liao

Z. Balzen

J. Networks, 2013

2012

Coherence Pattern-Guided Compressive Sensing with Unresolved Grids.

[BibT_eX]

[DOI]

Albert Fannjiang

Wenjing Liao

SIAM J. Imaging Sci., 2012

Super-resolution by compressive sensing algorithms.

[BibT_eX]

[DOI]

Albert Fannjiang

Wenjing Liao

Proceedings of the Conference Record of the Forty Sixth Asilomar Conference on Signals, 2012

2011

Mismatch and resolution in compressive imaging

[BibT_eX]

[DOI]

Albert Fannjiang

Wenjing Liao

CoRR, 2011

Compressed sensing phase retrieval.

[BibT_eX]

[DOI]

Albert Fannjiang

Wenjing Liao

Proceedings of the Conference Record of the Forty Fifth Asilomar Conference on Signals, 2011

Wenjing Liao

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