Research
Distributed Optimization
Image Reconstruction
Bayesian Approach
Edge Detection
Machine Learning
Two Steps, Two Step
Least Squares
Demand Response
Error Analysis
List of Publications (27)
In 2024
27
Hyperparameter Estimation for Sparse Bayesian Learning Models. F Yu, L Shen, G Song SIAM/ASA Journal on Uncertainty Quantification 12 (3), 759-787, 2024.
Found on Publication Page
26
A divide-and-conquer algorithm for distributed optimization on networks. N Emirov, G Song, Q Sun Applied and Computational Harmonic Analysis 70, 101623, 2024.
Found on Publication Page
In 2023
25
Fast Multiscale Functional Estimation in Optimal EMG Placement for Robotic Prosthesis Controllers. J Ren, G Song, L Tabacu, Y Xu Journal of Integral Equations and Applications 35 (3), 355-374, 2023.
Found on Publication Page
24
Generalized sparse Bayesian learning and application to image reconstruction. J Glaubitz, A Gelb, G Song SIAM/ASA Journal on Uncertainty Quantification 11 (1), 262-284, 2023.
Found on Publication Page
23
A Bayesian Approach of Predicting the Movement of Internally Displaced Persons. O Domson, JJ Padilla, G Song, E Frydenlund International Conference on Social Computing, Behavioral-Cultural Modeling ..., 2023.
Found on Publication Page
22
Sequential edge detection using joint hierarchical Bayesian learning. Y Xiao, A Gelb, G Song Journal of Scientific Computing 96 (3), 80, 2023.
Found on Publication Page
In 2022
21
Sequential image recovery from noisy and under-sampled Fourier data. Y Xiao, J Glaubitz, A Gelb, G Song Journal of Scientific Computing 91 (3), 79, 2022.
Found on Publication Page
In 2021
20
Multi-task learning in vector-valued reproducing kernel Banach spaces with the l1 norm. R Lin, G Song, H Zhang Journal of Complexity 63, 101514, 2021.
Found on Publication Page
In 2020
19
Admissible concentration factors for edge detection from non-uniform Fourier data. G Song, G Tucker, C Xia Journal of Scientific Computing 85, 1-16, 2020.
Found on Publication Page
In 2019
18
Joint sparse recovery based on variances. B Adcock, A Gelb, G Song, Y Sui SIAM Journal on Scientific Computing 41 (1), A246-A268, 2019.
Found on Publication Page
17
A two-step fixed-point proximity algorithm for a class of non-differentiable optimization models in machine learning. Z Li, G Song, Y Xu Journal of Scientific Computing 81 (2), 923-940, 2019.
Found on Publication Page
In 2018
16
A FIXED-POINT PROXIMITY APPROACH TO SOLVING THE SUPPORT VECTOR REGRESSION WITH THE GROUP LASSO REGULARIZATION. Z Li, G Song, Y Xu International Journal of Numerical Analysis & Modeling 15, 2018.
Found on Publication Page
In 2017
15
Piece-wise moving least squares approximation. W Li, G Song, G Yao Applied Numerical Mathematics 115, 68-81, 2017.
Found on Publication Page
14
PCM-TV-TFV: A novel two-stage framework for image reconstruction from fourier data. W Guo, G Song, Y Zhang SIAM Journal on Imaging Sciences 10 (4), 2250-2274, 2017.
Found on Publication Page
13
Detecting edges from non-uniform Fourier data using Fourier frames. A Gelb, G Song Journal of Scientific Computing 71, 737-758, 2017.
Found on Publication Page
In 2016
12
A high-dimensional inverse frame operator approximation technique. G Song, J Davis, A Gelb SIAM Journal on Numerical Analysis 54 (4), 2282-2301, 2016.
Found on Publication Page
11
Edge Detection from Two-Dimensional Fourier Data using Gaussian Mollifiers. A Gelb, G Song, A Viswanathan, Y Wang MICHIGAN STATE UNIV EAST LANSING, 2016.
Found on Publication Page
In 2015
10
A two-dimensional inverse frame operator approximation technique. G Song, J Davis, A Gelb arXiv preprint arXiv:1511.02922, 2015.
Found on Publication Page
In 2014
9
Convergence of volatile power markets with price-based demand response. Z Zhao, L Wu, G Song IEEE transactions on Power Systems 29 (5), 2107-2118, 2014.
Found on Publication Page
8
A frame theoretic approach to the nonuniform fast Fourier transform. A Gelb, G Song SIAM Journal on Numerical Analysis 52 (3), 1222-1242, 2014.
Found on Publication Page
In 2013
7
Reproducing kernel Banach spaces with the l1 norm. G Song, H Zhang, FJ Hickernell Applied and Computational Harmonic Analysis 34 (1), 96-116, 2013.
Found on Publication Page
6
Approximating the inverse frame operator from localized frames. G Song, A Gelb Applied and Computational Harmonic Analysis 35 (1), 94-110, 2013.
Found on Publication Page
In 2012
5
Multivariate interpolation with increasingly flat radial basis functions of finite smoothness. G Song, J Riddle, GE Fasshauer, FJ Hickernell Advances in Computational Mathematics 36, 485-501, 2012.
Found on Publication Page
In 2011
4
Reproducing Kernel Banach Spaces with the l1 Norm II: Error Analysis for Regularized Least Square Regression. G Song, H Zhang Neural computation 23 (10), 2713-2729, 2011.
Found on Publication Page
In 2010
3
Approximation of high-dimensional kernel matrices by multilevel circulant matrices. G Song, Y Xu Journal of Complexity 26 (4), 375-405, 2010.
Found on Publication Page
2
Approximation of kernel matrices by circulant matrices and its application in kernel selection methods. G Song, Y Xu Frontiers of mathematics in China 5, 123-160, 2010.
Found on Publication Page
In 2009
