◄homepage◄ Journal Articles      ►Papers by subject ►  

[37] M. Nikolova, "Solve exactly an under determined linear system by minimizing least squares regularized with an ℓ0 penalty", to appear in Comptes-rendus de l'Académie des sciences, Série I (Mathématiques)

 [36] F. Malgouyres and M. Nikolova, "Average performance of the sparsest approximation using a general dictionary", Numerical Functional Analysis and Optimization (NFAO), 32(7), pp. 768-805, 2011 (pdf)

[35] M. Nikolova, M. Ng and C. P. Tam, "A Fast Nonconvex Nonsmooth Minimization Method for Image Restoration and Reconstruction", IEEE Trans. on ImageProcessing, Vol. 19, .n 12, Dec. 2010  (pdf).

[34] S. Durand S., J. Fadili and M. Nikolova, "Multiplicative noise removal using L1 fidelity on frame coefficients", Journal of Mathematical Imaging and Vision, (Online 2009), Mar. 2010, vol. 36, n. 3, pp. 201-226  (pdf).

[33] Cai J.-F., R. Chan and M. Nikolova. "Fast Two-Phase Image Deblurring under Impulse Noise ", Journal of Mathematical Imaging and Vision, (Online 2009), Jan. 2010, vol. 36, n. 1, pp. 46-53 (pdf).

[32] A. Antoniadis, I. Gijbels and M. Nikolova, "Penalized Likelihood Regression for Generalized Linear Models with Nonquadratic Penalties ", Annals of the Instutute of Statistical Mathematics, June 2009, ser. 20, n. 3157, pp. 1-31  (pdf).

[31] M. Nikolova, "One-iteration dejittering of digital video images", Journal of Visual Communication and Image Representation, Vol. 20, 2009, pp. 254-274  (pdf).

[30] M. Nikolova and F. Malgouyres. "Average performance of the approximation in a dictionary using an  ℓ0 objective", Comptes-rendus de l'Académie des sciences, Série I (Mathématiques) 347, 2009, pp. 565-570. (pdf)

[29] M. Nikolova. "Semi-explicit solution and fast minimization scheme for an energy with L1-fitting and Tikhonov-like regularization ", Journal of Mathematical Imaging and Vision, Vol. 34, № 1, 2009, pp. 32-47 (pdf)

[28] Cai J-F., R. Chan and  M. Nikolova, “Two phase methods for deblurring images corrupted by impulse plus Gaussian noise ", AIMS Journal on Inverse Problems and Imaging, Vol. 2, n. 2, April 2008, pp. 187-204. (pdf)

[27] Nikolova M., M. Ng, S. Zhang and W-K. Ching, "Efficient reconstruction of piecewise constant images using nonsmooth nonconvex minimization", SIAM Journal on Imaging Sciences, vol. 1, n. 1, Mar. 2008, pp. 2-25. (pdf)

[26] M. Nikolova, ''Analytical bounds on the minimizers of (nonconvex) regularized least-squares'', AIMS Journal on Inverse Problems and Imaging, 2007, vol. 1, N.4, 2007, pp. 661-677 (pdf)

 

[25] Nikolova M., ''Model distortions in Bayesian MAP reconstruction'', AIMS Journal on Inverse Problems and Imaging, vol. 1, N. 2, 2007, pp. 399-422 (pdf)

[24] Durand S. and M. Nikolova, "Denoising of frame coefficients using ℓ1 data-fidelity term and edge-preserving regularization", SIAM Journal on Multiscale Modeling and Simulation, vol. 6, n. 2, 2007, pp.547-576.  (pdf)

[23] Nikolova M. and R. Chan, "The equivalence of Half-Quadratic Minimization and the Gradient Linearization Iteration'', IEEE Trans. on Image Processing, June 2007, vol. 16, n. 6, pp. 1623-1627 (pdf).

[22] Chan Tony, Selim Esedoglu and Mila Nikolova, "Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models, SIAM J. on Applied Mathematics, vol. 66, n. 5, 2006, pp.1632-1648. (pdf)

[21] Durand S. and Nikolova M. ``Stability of the Minimizers of Least Squares with a Non-Convex Regularization. Part I: Local Behavior'', Journal of Applied Mathematics and Optimization, Vol. 53, n. 2, March 2006, pp. 185-208. (pdf)

[20] Durand S. and Nikolova M. ``Stability of the Minimizers of Least Squares with a Non-Convex Regularization. Part II: Global Behavior'', Journal of Applied Mathematics and Optimization, Vol. 53, n. 3, May 2006, pp. 259-277. (pdf)

[19] Haoying Fu H., M. Ng, M. Nikolova and J. Barlow, "Efficient minimization methods of mixed ℓ1 - ℓ1 and ℓ2 - ℓ1 norms for image restoration", SIAM Journal on Scientific computing, Vol. 27, No 6, 2006, pp 1881-1902.  (pdf)

[18] Alberge F., M. Nikolova and P. Duhamel, "Blind Identification / Equalization using Deterministic Maximum Likelihood and a partial prior on the input'', IEEE Trans. on Signal Processing, Vol. 54, Issue 2, Feb. 2006, pp. 724- 737. (pdf)

[17] Nikolova M. and M. Ng, "Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery'', SIAM Journal on Scientific computing, vol. 27, No. 3, 2005, pp. 937-966. (pdf)

[16] Chan R., Chung-Wa Ho and M. Nikolova, "Salt-and-Pepper Noise Removal by Median-type Noise Detector and Detail-Preserving Regularization", IEEE Trans. on Image Processing, Vol. 14, No. 10, Oct. 2005, pp. 1479-1485. (pdf)

[15] Nikolova M., ''Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares'', SIAM Journal on Multiscale Modeling and Simulation, vol. 4, N. 3, 2005, pp. 960-991  (pdf)

[14] Chan R., C. Hu and M. Nikolova, "An Iterative Procedure for Removing Random-Valued Impulse Noise",  IEEE Signal Processing Letters, 11 (2004), 921-924. (pdf)

[13] Chan R., C.W. Ho and M. Nikolova, "Convergence of Newton's Method for a Minimization Problem in Impulse Noise Removal'', J. Comput. Math., vol. 22, 2004, pp. 168-177.

[12] R. Peeters, P. Kornprobst, M. Nikolova, S. Sunaert, T. Vieville, G. Malandain, R. Deriche, O. Fougeras, M. Ng and P. Hecke,  "The use of superresolution techniques to reduce slice thickness in functional MRI'', International Journal of Imaging Systems and Technology, Vol. 14, No. 3, 2004.

[11] Nikolova M., ''A variational approach to remove outliers and impulse noise'', Journal of Mathematical Imaging and Vision, vol. 20, no. 1-2, 2004, pp. 99-120. (pdf)

[10] Nikolova M., ''Weakly constrained minimization. Application to the estimation of images and signals involving constant regions'', Journal of Mathematical Imaging and Vision,  no. 2, vol. 21, Sep. 2004, pp. 155-175. (pdf)

[9] Roullot E., A. Herment, I. Bloch, A. Cesare, M. Nikolova and E. Mousseaux, "Modeling anisotropic undersampling of magnetic resonance angiographies and reconstruction of a high-resolution isotropic volume using half-quadratic regularization techniques'', Signal Processing, vol. 84,  2004, pp. 743-762. (pdf)

[8] Nikolova M., ''Minimizers of cost-functions involving non-smooth data-fidelity terms. Application to the processing of outliers'', SIAM Journal on Numerical Analysis vol. 40, no. 3, 2002, pp. 965-994. (pdf)

[7] Alberge F., P. Duhamel and M. Nikolova, "Adaptive solution for blind identification / equalization using deterministic maximum likelihood'',  IEEE Trans. on Signal Processing, vol. 50, no 4, April 2002, pp. 923-936. (pdf)

[6] Nikolova M., ''Local strong homogeneity of a regularized estimator'', SIAM Journal on Applied Mathematics, vol. 61, no. 2, pp. 633-658, 2000. (pdf)

[5] Nikolova M., ''Thresholding implied by truncated quadratic regularization'', IEEE Trans. on Signal Processing, vol. 48, Dec. 2000, pp. 3437-3450.(pdf)

[4] Nikolova M., "Markovian reconstruction using a GNC approach'', IEEE Trans. on Image Processing , vol. 8, no. 9, Sept. 1999, pp. 1204-1220. (pdf)

[3] Nikolova M., Idier J. and Mohammad-Djafari A., "Inversion of large-support ill-posed linear operators using a piecewise Gaussian MRF'', IEEE Trans. On Image Processing, vol. 8, no. 4, pp. 571-585, April 1998. (pdf)

[2] Nikolova M., ''Estimées localement fortement homogènes = Locally strongly homogeneous estimates'', Comptes-rendus de l'Académie des sciences, Série I (Mathématiques), Paris, vol. 325, n. 6, p. 665-670, 1997. (pdf)

[1] Nikolova M. and A. Mohammad-Djafari, "Eddy Current Tomography Using a Markov model'', Signal Processing, vol. 49, no. 2, 1996. (ps)