Introduction
A good introduction to the DonohoTanner phase transition can be found in
Webpage and Simulator:
Other Related Work:
 Universal and Efﬁcient Compressed Sensing Strategy through Spread Spectrum Modulation by Gilles Puy, Pierre Vandergheynst, Remi Gribonval, and Yves Wiaux.
 The Effect of Spatial Coupling on Compressive Sensing by Shrinivas Kudekar, Henry D. Pfister.
 UPS Delivers Optimal Phase
Diagram in High Dimensional Variable Selection by Pengsheng Ji, Jiashun Jin.
 Statistical
Mechanics of Compressed Sensing by Surya Ganguli, Haim Sompolinsky
 On the systematic measurement matrix for compressed sensing in the presence of gross errors by Zhi Li, Feng Wu and John Wright.
 Nonuniform
Sparse Recovery with Gaussian Matrices by Ulaş Ayaz, Holger Rauhut
 Compressive
Sensing over the Grassmann Manifold: a Unified Geometric Framework
by Weiyu Xu,
Babak
Hassibi
 Turbo
Reconstruction of Structured Sparse Signals by Phil Schniter (see
comment here)
 Observed
universality of phase transitions in highdimensional geometry, with
implications for modern data analysis and signal processing; Jared Tanner, David L. Donoho
 Precise
Undersampling Theorems; Jared Tanner, David L. Donoho
 Breakdown
Point of Model Selection when the Number
of Variables Exceeds the Number of Observations, Victoria Stodden, David L. Donoho
 Model Selection with Many More Variables than Observations, presentation by Victoria
Stodden
Software
 Upcoming (if you have version of a double do/for loop you want to share with the rest of the community, feel free to contact me)
 Some script in Sparselab implements this phase diagram.
Utilization of the DT phase diagram for Hardware and Software Checking:
Other
