Publications
2008
E. J. Candès, L. Demanet and L. Ying. A fast butterfly algorithm for the computation of Fourier integral operators. Submitted for publication. (pdf)
E. J. Candès and B. Recht. Exact matrix completion via convex optimization. Submitted for publication. (pdf)
E. J. Candès. The restricted isometry property and its implications for compressed sensing. Compte Rendus de l'Academie des Sciences, Paris, Serie I, 346 589—592. (pdf)
2007
E. J. Candès and Y. Plan. Near-ideal model selection by l1 minimization. Submitted for publication. (pdf)
E. J. Candès, M. Wakin and S. Boyd. Enhancing sparsity by reweighted l1 minimization. To appear in J. Fourier Anal. Appl. (pdf)
E. J. Candès and M. Wakin. An introduction to compressive sampling. IEEE Signal Processing Magazine, March 2008 21—30. (pdf)
E. J. Candès and T. Tao. Rejoinder: the Dantzig selector: statistical estimation when p is much larger than n. Annals of Statistics, 35 2392—2404. (pdf)
E. Arias Castro, E. J. Candès, H. Helgason and O. Zeitouni. Searching for a trail of evidence in a maze. Annals of Statistics (in press). (pdf)
2006
E. J. Candès and P. Randall. Highly robust error correction by convex programming. IEEE Trans. Inform. Theory (in press). (pdf)
E. J. Candès and J. Romberg. Sparsity and incoherence in compressive sampling. Inverse Problems, 23 969-985. (pdf)
E. J. Candès, L. Demanet and L. Ying. Fast computation of Fourier integral operators. SIAM J. Sci. Comput., 29 2464-2493. (pdf)
E. J. Candès. Compressive sampling. Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006. (pdf)
E. J. Candès, P. Charlton and H. Helgason. Detecting highly oscillatory signals by chirplet path pursuit. Appl. Comput. Harmon. Anal. 24 14-40. (pdf)
E. J. Candès and L. Ying. Fast geodesics computation with the phase flow method. J. Comput. Phys., 220 6-18. (pdf)
2005
E. J. Candès. Modern statistical estimation via oracle inequalities. Acta Numerica, 15 257-325. (pdf)
E. J. Candès and L. Ying. The phase flow method. J. Comput. Phys., 220 184-215. (pdf)
E. J. Candès, L. Demanet, D. L. Donoho and L. Ying. Fast discrete curvelet transforms. Multiscale Model. Simul., 5 861-899. (pdf)
E. J. Candès and T. Tao. The Dantzig selector: statistical estimation when p is much larger than n. Annals of Statistics, 35 2313—2351. (pdf)
E. J. Candès, M. Rudelson, T. Tao and R. Vershynin. Error correction via linear programming. Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS), 295-308. (pdf)
E. J. Candès, J. Romberg and T. Tao. Stable signal recovery from incomplete and inaccurate measurements. Comm. Pure Appl. Math., 59 1207-1223. (pdf)
2004
E. J. Candès and T. Tao. Decoding by linear programming. IEEE Trans. Inform. Theory, 51 4203-4215. (pdf)
E. J. Candès and J. Romberg. Practical signal recovery from random projections. Wavelet Applications in Signal and Image Processing XI, Proc. SPIE Conf. 5914. (pdf)
E. J. Candès and T. Tao. Near-optimal signal recovery from random projections: universal encoding strategies. IEEE Trans. Inform. Theory, 52 5406-5425. (pdf)
E. J. Candès and J. Romberg. Quantitative robust uncertainty principles and optimally sparse decompositions. Found. of Comput. Math., 6 227-254. (pdf)
E. J. Candès, J. Romberg and T. Tao. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inform. Theory, 52 489-509. (pdf)
E. J. Candès and L. Demanet. The curvelet representation of wave propagators is optimally sparse. Comm. Pure Appl. Math., 58 1472-1528. (pdf)
2003
E. J. Candès and D. L. Donoho. Continuous curvelet transform: I. Resolution of the wavefront set. Appl. Comput. Harmon. Anal. 19 162-197. (pdf)
E. J. Candès and D. L. Donoho. Continuous curvelet transform: II. Discretization and frames. Appl. Comput. Harmon. Anal. 19 198-222.. (pdf)
2002
E.J. Candès. Multiscale chirplets and near-optimal recovery of chirps. Technical Report, Stanford University. (pdf)
E.J. Candès and D. L. Donoho. New tight frames of curvelets and optimal representations of objects with piecewise-C2 singularities. Comm. Pure Appl. Math., 57 219-266. (pdf)
E. J. Candès and L. Demanet. Curvelets and Fourier integral operators. Compte Rendus de l'Academie des Sciences, Paris, Serie I, 336 395-398. (pdf) (Proof available upon request)
J. L. Starck, E. J. Candès and D. L. Donoho. Astronomical image representation by the curvelet transform. Astronomy & Astrophysics, 398 785-800. (pdf)
A. G. Flesia, H. Hel-Or, A. Averbuch, E. J. Candès, R. R. Coifman and D. L. Donoho. Digital implementation of ridgelet packets. Beyond Wavelets, J. Stoeckler and G. V. Welland eds., Academic Press. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès and F. Guo. New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction. Signal Processing, 82 1519-1543. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès. New ties between computational harmonic analysis and approximation theory. Approximation Theory X, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville TN, 87-153. Compressed Postscript (ps.gz) / (pdf)
2001
J. Starck, F. Murtagh, E. Candes and D. Donoho. Gray and color image contrast enhancement by the curvelet transform. IEEE Transactions on Image Processing, 12 706-717. (pdf)
J. L. Starck, E. J. Candès and D. L. Donoho. Very high quality image restoration by combining wavelets and curvelets. Wavelet Applications in Signal and Image Processing IX, A. Aldroubi, A. F. Laine, M. A. Unser eds., Proc. SPIE 4478. Compressed Postscript (ps.gz) / Postscript (ps)
2000
J. L. Starck, E. J. Candès and D. L. Donoho. The curvelet transform for image denoising. IEEE Transactions on Image Processing, 11 670—684. Compressed Postscript (ps.gz) / Acrobat (pdf)
E. J. Candès and D. L. Donoho. Curvelets, multiresolution representation, and scaling laws. Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. F. Laine, M. A. Unser eds., Proc. SPIE 4119. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès and D. L. Donoho. Curvelets and reconstruction of images from noisy Radon data. Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. F. Laine, M. A. Unser eds., Proc. SPIE 4119. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès and D. L. Donoho. Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Ann. Statist., 30, 784—842. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès and D. L. Donoho. Curvelets and curvilinear integrals. J. Approx. Theory. 113 59—90. Compressed Postscript (ps.gz) / (pdf)
1999
E. J. Candès. Ridgelets and their derivatives: Representation of images with edges. Curves and Surfaces, L. L. Schumaker et al. (eds), Vanderbilt University Press, Nashville, TN. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès and D. L. Donoho. Curvelets - a surprisingly effective nonadaptive representation for objects with edges. Curves and Surfaces, L. L. Schumaker et al. (eds), Vanderbilt University Press, Nashville, TN. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès. Ridgelets: estimating with ridge functions. Ann. Statist., 31 1561-1599. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès. Ridgelets and the representation of mutilated Sobolev functions. SIAM J. Math. Anal. 33, 197-218. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès. Monoscale ridgelets for the representation of images with edges. Technical Report, Department of Statistics, Stanford University. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès and D. L. Donoho. Ridgelets: a key to higher-dimensional intermittency? Phil. Trans. R. Soc. Lond. A., 357, 2495—2509. Compressed Postscript (ps.gz) / (pdf)
E. J. Candès. Harmonic analysis of neural networks. Appl. Comput. Harmon. Anal., 6, 197-218. Compressed Postscript (ps.gz) / (pdf)
1998
E. J. Candès. Ridgelets: theory and applications. Ph.D. Thesis, Technical Report, Department of Statistics, Stanford University. Compressed Postscript (ps.gz)
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