65 results on '"Lu, Xiliang"'
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2. Deep Ritz Method for Elliptical Multiple Eigenvalue Problems
3. Error estimation to the direct sampling method for the inverse acoustic source problem with multi-frequency data
4. Analysis of Deep Ritz Methods for Semilinear Elliptic Equations
5. A Novel Ultrahigh-Dose-Rate Proton Therapy Technology: Spot-Scanning Proton Arc Therapy + FLASH (SPLASH)
6. Global Optimization via Schrödinger–Föllmer Diffusion
7. Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality in Approximation on Hölder Class
8. Invariant and Sufficient Supervised Representation Learning
9. Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions
10. Stochastic mirror descent method for linear ill-posed problems in Banach spaces
11. Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension
12. The first direct method of spot sparsity optimization for proton arc therapy
13. Sparse Membership Affinity Lasso for Fuzzy Clustering
14. Convergence rate analysis of Galerkin approximation of inverse potential problem
15. A data-driven line search rule for support recovery in high-dimensional data analysis
16. Imaging conductivity from current density magnitude using neural networks*
17. An Efficient Variational Model for Multiplicative Noise Removal
18. Imaging Anisotropic Conductivities from Current Densities
19. Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition
20. A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs
21. Convergence Rate Analysis for Deep Ritz Method
22. PSNA: A pathwise semismooth Newton algorithm for sparse recovery with optimal local convergence and oracle properties
23. One-Step High-Quality NDVI Time-Series Reconstruction by Joint Modeling of Gradual Vegetation Change and Negatively Biased Atmospheric Contamination
24. Sample-Efficient Sparse Phase Retrieval via Stochastic Alternating Minimization
25. Sparse signal recovery from phaseless measurements via hard thresholding pursuit
26. Smoothing Newton method for $ \ell^0 $-$ \ell^2 $ regularized linear inverse problem
27. A Unified Primal Dual Active Set Algorithm for Nonconvex Sparse Recovery
28. GSDAR: a fast Newton algorithm for $$\ell _0$$ regularized generalized linear models with statistical guarantee
29. An Alternating Direction Minimization based denoising method for extracted ion chromatogram
30. Heuristic discrepancy principle for variational regularization of inverse problems
31. Membership Affinity Lasso for Fuzzy Clustering
32. Robust Nonconvex Nonnegative Low-rank Representation
33. On the regularizing property of stochastic gradient descent
34. A Nonconvex Model with Minimax Concave Penalty for Image Restoration
35. A Universal Destriping Framework Combining 1-D and 2-D Variational Optimization Methods
36. Robust Decoding from 1-Bit Compressive Sampling with Ordinary and Regularized Least Squares
37. Preasymptotic convergence of randomized Kaczmarz method
38. Iterative Soft/Hard Thresholding With Homotopy Continuation for Sparse Recovery
39. Computation of Time Optimal Control Problems Governed by Linear Ordinary Differential Equations
40. Group Sparse Recovery via the $\ell ^0(\ell ^2)$ Penalty: Theory and Algorithm
41. Preconditioned alternating direction method of multipliers for inverse problems with constraints
42. Stripe Noise Separation and Removal in Remote Sensing Images by Consideration of the Global Sparsity and Local Variational Properties
43. A simple finite element method for boundary value problems with a Riemann–Liouville derivative
44. Alternating Direction Method of Multipliers for Linear Inverse Problems
45. Two-grid variational multiscale method with bubble stabilization for convection diffusion equation
46. An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation
47. A stabilized finite element method for the convection dominated diffusion optimal control problem
48. A primal dual active set with continuation algorithm for the ℓ0-regularized optimization problem
49. Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation
50. An Alternating Direction Method with Continuation for Nonconvex Low Rank Minimization
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