Search Results for author: Lixin Shen

Found 6 papers, 0 papers with code

Large-Scale Non-convex Stochastic Constrained Distributionally Robust Optimization

no code implementations1 Apr 2024 Qi Zhang, Yi Zhou, Ashley Prater-Bennette, Lixin Shen, Shaofeng Zou

We prove that our algorithm finds an $\epsilon$-stationary point with a computational complexity of $\mathcal O(\epsilon^{-3k_*-5})$, where $k_*$ is the parameter of the Cressie-Read divergence.

Hyperparameter Estimation for Sparse Bayesian Learning Models

no code implementations4 Jan 2024 Feng Yu, Lixin Shen, Guohui Song

Sparse Bayesian Learning (SBL) models are extensively used in signal processing and machine learning for promoting sparsity through hierarchical priors.

Numerical Solution of Fredholm Integral Equations of the Second Kind using Neural Network Models

no code implementations29 Sep 2021 Yuzhen Liu, Lixin Shen

The coefficients of this linear combination are served as the weights between the hidden layer and the output layer of the neural network while the mean square error between the exact solution and the approximation solution at the training set as the cost function.

The Proximity Operator of the Log-Sum Penalty

no code implementations3 Mar 2021 Ashley Prater-Bennette, Lixin Shen, Erin E. Tripp

The log-sum penalty is often adopted as a replacement for the $\ell_0$ pseudo-norm in compressive sensing and low-rank optimization.

Compressive Sensing Optimization and Control 49J53, 49J52, 90C26

Finding Dantzig selectors with a proximity operator based fixed-point algorithm

no code implementations19 Feb 2015 Ashley Prater, Lixin Shen, Bruce W. Suter

In this paper, we study a simple iterative method for finding the Dantzig selector, which was designed for linear regression problems.

regression

Separation of undersampled composite signals using the Dantzig selector with overcomplete dictionaries

no code implementations20 Jan 2015 Ashley Prater, Lixin Shen

In this paper, we propose using the Dantzig selector model incorporating an overcomplete dictionary to separate a noisy undersampled collection of composite signals, and present an algorithm to efficiently solve the model.

Compressive Sensing

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