Fetching the paper…
Reading the bibliography…
We study high-dimensional signal recovery from non-linear measurements with design vectors having elliptically symmetric distribution.
[author] Cambanis, S.S., Huang, S.S. and Simons, G.G. (1981). On the theory of elliptically contoured distributions. Journal of Multivariate Analysis 11 368-385. \endbibitem
1981
Earlier work this paper cites.
[author] Brillinger, David R.D. R. (1983). A generalized linear model with “Gaussian” regressor variables. In A Festschrift for Erich L. Lehmann. Wadsworth Statist./Probab. Ser. 97–114. Wadsworth, Belmont, CA. 689741 \endbibitem
1983
Earlier work this paper cites.
[author] Stoker, Thomas MT. M. (1986). Consistent estimation of scaled coefficients. Econometrica: Journal of the Econometric Society 1461–1481. \endbibitem
1986
Earlier work this paper cites.
[author] Li, Ker-ChauK.-C. and Duan, NaihuaN. (1989). Regression analysis under link violation. The Annals of Statistics 1009–1052. \endbibitem
1989
Earlier work this paper cites.
{binproceedings}
1990
Earlier work this paper cites.
[author] Ledoux, M.M. and Talagrand, M.M. (1991). Probability in Banach Spaces: isoperimetry and processes. Springer-Verlag, Berlin. \endbibitem
1991
Earlier work this paper cites.
[author] Hardle, WolfgangW., Hall, PeterP., Ichimura, HidehikoH. et al. (1993). Optimal smoothing in single-index models. The annals of Statistics 21 157–178. \endbibitem
1993
Earlier work this paper cites.
[author] Tibshirani, R.R. (1996). Regression shrinkage and selection via the Lasso. Journal of the Royal Statistical Society. Series B (Methodological) 267–288. \endbibitem
1996
Earlier work this paper cites.
[author] van der Vaart, A. W.A. W. and Wellner, J. A.J. A. (1996). Weak convergence and empirical processes. Springer Series in Statistics. Springer-Verlag, New York. MR1385671 (97g:60035) \endbibitem
1996
Earlier work this paper cites.
[author] Ball, K.K. (1997). An elementary introduction to modern convex geometry. Cambridge University Press, New York,. \endbibitem
1997
Earlier work this paper cites.
[author] Hristache, MarianM., Juditsky, AnatoliA. and Spokoiny, VladimirV. (2001). Direct estimation of the index coefficient in a single-index model. Annals of Statistics 595–623. \endbibitem
2001
Earlier work this paper cites.
[author] Candès, E. J.E. J., Romberg, J.J. and Tao, T.T. (2006). Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,. IEEE Transaction on Information Theory 52 5406-5425. \endbibitem
2006
Earlier work this paper cites.
[author] Mendelson, S.S., Pajor, A.A. and Tomczak-Jaegermann, N.N. (2007). Reconstruction and subgaussian operators in asymptotic geometric analysis. Geometric and Functional Analysis 17 1248-1282. \endbibitem
2007
Cited alongside, same era.
{binproceedings}
2008
Cited alongside, same era.
[author] Bickel, P. J.P. J., Ritov, Y.Y. and Tsybakov, A. B.A. B. (2009). Simultaneous analysis of Lasso and Dantzig selector. The Annals of Statistics 37 1705–1732. \endbibitem
2009
Cited alongside, same era.
[author] Wright, J.J., Yang, A.A., Ganesh, A.A., Sastry, S.S. and Ma., Y.Y. (2009). Robust face recognition via sparse representation. IEEE Trans. PAMI 31 210-227. \endbibitem
2009
Cited alongside, same era.
[author] Vershynin, R.R. (2010). Introduction to the non-asymptotic analysis of random matrices. In Compressed Sensing: Theory and Applications (Y. C.Y. C. Eldar and G.G. Kutyniok, eds.). \endbibitem
[author] Banerjee, A.A., Chen, S.S., Fazayeli, F.F. and Sivakumar, V.V. (2014). Estimation with norm regularization. Advances Neural Information Processing Systems (NIPS) 27. \endbibitem
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
[author] Talagrand, M.M. (2014). Upper and lower bounds for stochastic processes: modern methods and classical problems. Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer. \endbibitem
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
[author] Candès, E. J.E. J., Li, X.X., Ma, Y.Y. and Wright, J.J. (2011). Robust principal component analysis? Journal of the ACM 58 3. \endbibitem
2011
Cited alongside, same era.
[author] Gross, DavidD. (2011). Recovering low-rank matrices from few coefficients in any basis. IEEE Transactions on Information Theory 57 1548–1566. \endbibitem
2011
Cited alongside, same era.
[author] Chandrasekaran, VenkatV., Recht, BenjaminB., Parrilo, Pablo AP. A. and Willsky, Alan SA. S. (2012). The convex geometry of linear inverse problems. Foundations of Computational mathematics 12 805–849. \endbibitem
2012
Cited alongside, same era.
[author] Negahban, S. N.S. N., Ravikumar, P.P., Wainwright, M. J.M. J. and Yu, B.B. (2012). A unified framework for high-dimensional analysis of m-estimators with decomposable regularizers. Statistical Science 27 538-557. \endbibitem
2012
Cited alongside, same era.
2013
Cited alongside, same era.
[author] Ai, AlbertA., Lapanowski, AlexA., Plan, YanivY. and Vershynin, RomanR. (2014). One-bit compressed sensing with non-Gaussian measurements. Linear Algebra and its Applications 441 222–239. \endbibitem
2014
Cited alongside, same era.
[author] Oymak, S.S., Jalali, A.A., Fazel, M.M., Eldar, Y. C.Y. C. and Hassibi, B.B. (2015). Simultaneously structured models with application to sparse and low-rank matrices. IEEE Transactions on Information Theory, 61 2886-2908. \endbibitem
2015
Later among the works it cites.
{binproceedings}
2015
Later among the works it cites.
[author] Vershynin, RomanR. (2015). Estimation in high dimensions: a geometric perspective. In Sampling Theory, a Renaissance 3–66. Springer. \endbibitem
2015
Later among the works it cites.
{binproceedings}
2015
Later among the works it cites.
2016
Closest in time.
2016
Closest in time.
[author] Plan, YanivY. and Vershynin, RomanR. (2016). The generalized Lasso with non-linear observations. IEEE Transactions on Information Theory 62 1528–1537. \endbibitem
2016
Closest in time.