Primal dual pursuit: a homotopy based algorithm for the Dantzig selector
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Summary
The author thanks her advisor, Justin Romberg, for all the inspiration, motivation and guidance, and all her teachers here at Georgia Tech, all of whom influenced her a lot.
- Type
- dissertation
- Published
- 2008-07-10
- Cited by
- 47
- References
- 54
- OpenAlex
- https://openalex.org/W65699389
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:115603371
Keywords
Homotopy analysis method, Homotopy, Dual (grammatical number), Mathematics, Algorithm
References
- The Dantzig selector: Statistical estimation when P is much larger than n
- JPEG: Still Image Data Compression Standard
- Introduction to Wavelets and Wavelet Transforms: A Primer
- Flatland: a Romance of Many Dimensions
- On the LASSO and its Dual
- Atomic Decomposition by Basis Pursuit
- Sparse Approximate Solutions to Linear Systems
- On sparse reconstruction from Fourier and Gaussian measurements
- A new approach to variable selection in least squares problems
- New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
- Nonlinear Methods of Approximation
- Stable recovery of sparse overcomplete representations in the presence of noise
- An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
- Uncertainty principles and ideal atomic decomposition
- Sparsity and incoherence in compressive sampling
- Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems
- LASSO-TYPE RECOVERY OF SPARSE REPRESENTATIONS FOR HIGH-DIMENSIONAL DATA
- Near-ideal model selection by ℓ1 minimization
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- A wavelet tour of signal processing
Cited by
- Fast L1-Minimization Algorithms For Robust Face Recognition
- Fast ℓ1-minimization algorithms and an application in robust face recognition: A review
- Iterative Nearest Neighbors for classification and dimensionality reduction
- Dynamic Updating for ℓ_1 Minimization
- Sparsity-based space-time adaptive processing using complex-valued homotopy technique
- Sparsity-based space-time adaptive processing using complex-valued Homotopy technique for airborne radar
- Spatial-spectral-combined sparse representation-based classification for hyperspectral imagery
- Dantzig selector homotopy with dynamic measurements
- Parallelism, uniqueness, and large-sample asymptotics for the Dantzig selector
- On the LASSO and Dantzig selector equivalence
- Component-based global k-NN classifier for small sample size problems
- An effective collaborative representation algorithm for hyperspectral image classification
- Iterative Nearest Neighbors
- Sparse Channel Estimation based on Compressed Sensing Theory for UWB systems
- Streaming measurements in compressive sensing: ℓ1 filtering
- Solving Basis Pursuit
- Sparse Representation Based Projections
- The German Traffic Sign Recognition Benchmark: A multi-class classification competition
- A Survey of Sparse Representation: Algorithms and Applications
- Seismic source wavelet estimation and sparse-spike deconvolution
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