Manifold Sampling for $\ell_1$ Nonconvex Optimization. Larson, J., Menickelly, M., & Wild, S. M. SIAM Journal on Optimization, 26(4):2540–2563, 2016.
doi  bibtex   
@Article{LMW16,
  author  = {Jeffrey Larson and Matt Menickelly and Stefan M. Wild},
  title   = {Manifold Sampling for $\ell_1$ Nonconvex Optimization},
  doi     = {10.1137/15M1042097},
  number  = {4},
  pages   = {2540--2563},
  volume  = {26},
  anumber = {ANL/MCS-P5392-0915},
  aurl    = {http://www.mcs.anl.gov/papers/P5392-0915.pdf},
  gurl    = {https://scholar.google.com/scholar?cluster=17516614248802038308},
  journal = {SIAM Journal on Optimization},
  year    = {2016},
}

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