Mila Nikolova
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Bulgarian applied mathematician
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Mila Nikolovamathematics Degrees
Mathematics
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#8015
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Applied Mathematics
#361
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#388
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Measure Theory
#2361
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#2823
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Mathematics
Why Is Mila Nikolova Influential?
(Suggest an Edit or Addition)According to Wikipedia, Mila Nikolova was a Bulgarian applied mathematician, known for her research in image processing, inverse problems, and compressed sensing. Education and career After working as a science journalist and engineer in Bulgaria, Nikolova completed a Ph.D. in 1995 in signal and image processing at the University of Paris-Sud. In 2006, she earned a habilitation in mathematics at Pierre and Marie Curie University.
Mila Nikolova's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- An Algorithm for Total Variation Minimization and Applications (2004) (2781)
- Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models (2006) (1161)
- Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization (2005) (1147)
- A Variational Approach to Remove Outliers and Impulse Noise (2004) (686)
- Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery (2005) (396)
- Minimizers of Cost-Functions Involving Nonsmooth Data-Fidelity Terms. Application to the Processing of Outliers (2002) (362)
- Local Strong Homogeneity of a Regularized Estimator (2000) (307)
- Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction (2010) (256)
- An iterative procedure for removing random-valued impulse noise (2004) (234)
- Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization (2008) (203)
- Efficient Minimization Methods of Mixed l2-l1 and l1-l1 Norms for Image Restoration (2005) (185)
- Two-phase approach for deblurring images corrupted by impulse plus gaussian noise (2008) (181)
- Analysis of the Recovery of Edges in Images and Signals by Minimizing Nonconvex Regularized Least-Squares (2005) (179)
- Fast Two-Phase Image Deblurring Under Impulse Noise (2009) (178)
- Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients (2008) (160)
- The Equivalence of Half-Quadratic Minimization and the Gradient Linearization Iteration (2007) (118)
- Weakly Constrained Minimization: Application to the Estimation of Images and Signals Involving Constant Regions (2004) (116)
- Markovian reconstruction using a GNC approach (1999) (102)
- Inversion of large-support ill-posed linear operators using a piecewise Gaussian MRF (1998) (87)
- Description of the Minimizers of Least Squares Regularized with 퓁0-norm. Uniqueness of the Global Minimizer (2013) (85)
- Fast Hue and Range Preserving Histogram Specification: Theory and New Algorithms for Color Image Enhancement (2014) (84)
- Penalized likelihood regression for generalized linear models with non-quadratic penalties (2011) (83)
- The use of super‐resolution techniques to reduce slice thickness in functional MRI (2004) (82)
- Model distortions in Bayesian MAP reconstruction (2007) (57)
- Denoising of Frame Coefficients Using ℓ1 Data-Fidelity Term and Edge-Preserving Regularization (2007) (51)
- Exact Histogram Specification for Digital Images Using a Variational Approach (2013) (49)
- A Three-Stage Approach for Segmenting Degraded Color Images: Smoothing, Lifting and Thresholding (SLaT) (2015) (45)
- Two-Phase Methods for Deblurring Images Corrupted by Impulse Plus Gaussian Noise ∗ (2006) (42)
- On 퓁1 Data Fitting and Concave Regularization for Image Recovery (2013) (42)
- Estimation of binary images by minimizing convex criteria (1998) (41)
- Relationship between the optimal solutions of least squares regularized with L0-norm and constrained by k-sparsity (2016) (39)
- Energy Minimization Methods (2015) (39)
- Fast image reconstruction algorithms combining half-quadratic regularization and preconditioning (2001) (38)
- HIGH-ORDER TOTAL VARIATION REGULARIZATION APPROACH FOR AXIALLY SYMMETRIC OBJECT TOMOGRAPHY FROM A SINGLE RADIOGRAPH (2015) (38)
- Fast Ordering Algorithm for Exact Histogram Specification (2014) (35)
- Thresholding implied by truncated quadratic regularization (2000) (33)
- A Characterization of Proximity Operators (2018) (30)
- A Nonlocal Denoising Algorithm for Manifold-Valued Images Using Second Order Statistics (2016) (28)
- Adaptive solution for blind identification/equalization using deterministic maximum likelihood (2002) (27)
- Regularisation functions and estimators (1996) (27)
- Finding the global minimum for binary image restoration (2005) (26)
- Eddy current tomography using a binary Markov model (1996) (24)
- Multiplicative Noise Cleaning via a Variational Method Involving Curvelet Coefficients (2009) (23)
- Stability of the Minimizers of Least Squares with a Non-Convex Regularization. Part I: Local Behavior (2006) (23)
- Inversion of large-support ill-conditioned linear operators using a Markov model with a line process (1994) (23)
- A two-stage method for spectral–spatial classification of hyperspectral images (2018) (21)
- Minimization of detail-preserving regularization functional by Newton's method with continuation (2005) (20)
- Fully Smoothed ℓ1-TV Models: Bounds for the Minimizers and Parameter Choice (2014) (19)
- A Superresolution Framework for fMRI Sequences and Its Impact on Resulting Activation Maps (2003) (18)
- On Bayesian estimation and proximity operators (2018) (17)
- CONVERGENCE OF NEWTON'S METHOD FOR A MINIMIZATION PROBLEM IN IMPULSE NOISE REMOVAL ∗1) (2004) (17)
- Analytical bounds on the minimizers of (nonconvex) regularized least-squares (2008) (17)
- A Variational Model for Color Assignment (2015) (15)
- Disparity and Optical Flow Partitioning Using Extended Potts Priors (2014) (15)
- Regularized reconstruction of 3D high-resolution magnetic resonance images from acquisitions of anisotropically degraded resolutions (2000) (14)
- Half-quadratic regularization for MRI image restoration (2003) (14)
- Stability of the Minimizers of Least Squares with a Non-Convex Regularization. Part II: Global Behavior (2006) (14)
- Fast Robust Dejitter and Interslice Discontinuity Removal in MRI Phase Acquisitions: Application to Magnetic Resonance Elastography (2019) (13)
- Image restoration by minimizing objective functions with nonsmooth data-fidelity terms (2001) (12)
- One-iteration dejittering of digital video images (2009) (12)
- Bilevel Image Denoising Using Gaussianity Tests (2015) (12)
- Blind identification/equalization using deterministic maximum likelihood and a partial prior on the input (2006) (12)
- Alternating proximal gradient descent for nonconvex regularised problems with multiconvex coupling terms (2017) (10)
- Fast Dejittering for Digital Video Frames (2009) (10)
- A Fast Algorithm for Exact Histogram Specification. Simple Extension to Colour Images (2013) (10)
- Comparison of the main forms of half-quadratic regularization (2002) (10)
- Modeling anisotropic undersampling of magnetic resonance angiographies and reconstruction of a high-resolution isotropic volume using half-quadratic regularization techniques (2004) (8)
- Fast and Accurate Multiplicative Decomposition for Fringe Removal in Interferometric Images (2017) (8)
- Nonconvex Optimization for 3-Dimensional Point Source Localization Using a Rotating Point Spread Function (2018) (7)
- Blind identification/equalization using deterministic maximum likelihood and a partial information on the input (1999) (6)
- Alternating Structure-Adapted Proximal Gradient Descent for Nonconvex Nonsmooth Block-Regularized Problems (2019) (6)
- Inertial Alternating Generalized Forward–Backward Splitting for Image Colorization (2019) (6)
- A Variational Approach for Exact Histogram Specification (2011) (5)
- Functionals for signal and image reconstruction : properties of their minimizers and applications (2006) (5)
- Fast Algorithms for l1 Norm/Mixed l1 and l2 Norms for Image Restoration (2005) (5)
- Stability of image restoration by minimizing regularized objective functions (2001) (5)
- Average Performance of the Sparsest Approximation Using a General Dictionary (2008) (4)
- Non-convex optimization for 3D point source localization using a rotating point spread function (2018) (4)
- Inversion of Large-Support Ill-Posed Linear (1998) (3)
- Semi-explicit Solution and Fast Minimization Scheme for an Energy with ℓ1-Fitting and Tikhonov-Like Regularization (2009) (3)
- Solve exactly an under determined linear system by minimizing least squares regularized with an penalty (2011) (3)
- Minimization of Cost-Functions with Non-smooth Data-Fidelity Terms to Clean Impulsive Noise (2003) (3)
- A Three-Stage Approach for Segmenting Degraded Color Images: Smoothing, Lifting and Thresholding (SLaT) (2017) (3)
- Nonconvex optimization for 3D point source localization using a rotating point spread function∗ (2018) (3)
- Adaptive deterministic maximum likelihood using a quasi-discrete prior (2000) (3)
- Alternating block coordinate proximal forward-backward descent for nonconvex regularised problems with biconvex terms (2017) (2)
- Half-Quadratic Minimization of Regularized Objectives as the Fixed Point Iteration for the Linearized Gradient (2006) (2)
- Exact Histogram Specification for Digital Images Using a Variational Approach (2012) (2)
- Should We Search for a Global Minimizer of Least Squares Regularized with an ℓ0 Penalty to Get the Exact Solution of an under Determined Linear System? (2011) (2)
- Maximum Entropy Image Reconstruction in Eddy Current Tomography (1993) (2)
- Markovian reconstruction in computed imaging and Fourier synthesis (1994) (2)
- Parameter selection for a Markovian signal reconstruction with edge detection (1995) (2)
- Fully Smoothed ℓ1-TV Models: Bounds for the Minimizers and Parameter Choice (2013) (2)
- Computer Restoration of 2D Medical Diagnostic Signals with Noise Frequency Spectrum (2011) (2)
- A Convex Model for Edge-Histogram Specification with Applications to Edge-Preserving Smoothing (2018) (2)
- Novel Sparse Recovery Algorithms for 3D Debris Localization using Rotating Point Spread Function Imagery (2018) (2)
- Bounds on the Minimizers of (nonconvex) Regularized Least-Squares (2007) (2)
- Counter-Examples for Bayesian MAP Restoration (2007) (2)
- Smoothing of outliers in image restoration by minimizing regularized objective functions with nonsmooth data-fidelity terms (2001) (1)
- Adaptive refinement methods for singularly perturbed convection-diffusion problems (1999) (1)
- Reconstruction of locally homogeneous images (1998) (1)
- Relationship between the optimal solutions of least squares regularized with L 0-norm and constrained by k-sparsity Mila Nikolova (2017) (1)
- Low cost adaptive algorithm for blind channel identification and symbol estimation (2000) (1)
- Scale Space and Variational Methods in Computer Vision: 8th International Conference, SSVM 2021, Virtual Event, May 16–20, 2021, Proceedings (2021) (1)
- Average performance of the approximation in a dictionary using an l0 objective (2009) (1)
- Below the Surface of the Non-local Bayesian Image Denoising Method (2017) (1)
- Nonconvex optimization for 3 D point source localization using a rotating point spread function ∗ (2018) (1)
- Either Fit to Data Entries or Locally to Prior: The Minimizers of Objectives with Nonsmooth Nonconvex Data Fidelity and Regularization (2011) (1)
- A Characterization of Proximity Operators (2020) (0)
- Solve exactly an under determined linear system by minimizing least squares regularized with an 0 penalty Résoudre exactement un système sous-déterminé en minimisant des moindres carrés régularisés avec 0 (2011) (0)
- Uniqueness of the global minimizer (2013) (0)
- Title Fast image reconstruction algorithms combining half-quadraticregularization and preconditioning (2004) (0)
- Guest Editorial: Scale-Space and Variational Methods (2016) (0)
- Inertial Alternating Generalized Forward–Backward Splitting for Image Colorization (2019) (0)
- The Synergy Between Different Colour Spaces For Degraded Colour Images Segmentation (2018) (0)
- Locally homogeneous images as minimizers of objective functions (1999) (0)
- Error Indicators for Adaptive Refinement of Singularly Perturbed Convection-Diffusion Problems (1999) (0)
- Image restoration by minimizing objective functions with nonsmooth data-£ delity (2001) (0)
- Estimation of errors in text and data processing (2013) (0)
- Multiplicative Noise Removal Using L 1 Fidelity on Frame Coefficients Sylvain (2019) (0)
- Enhancement of Image with the help of Switching Median Filter (2020) (0)
- Title Half-quadratic regularization for MRI image restoration (2004) (0)
- Average performance of the sparsest approximation in a dictionary (2009) (0)
- Restoration of wavelet coefficients by minimizing a specially designed function (2003) (0)
- Estimation of signals containing strongly homogeneous zones (1998) (0)
- Guest Editorial: Scale-Space and Variational Methods (2016) (0)
- Contre-examples for Bayesian MAP restoration Mila NIKOLOVA (2006) (0)
- Author ' s personal copy One-iteration dejittering of digital video images (2009) (0)
- Mathematical image processing meeting (0)
- Restoration of edges by minimizing non-convex cost-functions (2005) (0)
- Non Convex Minimization using Convex Relaxation Some Hints to Formulate Equivalent Convex Energies (2014) (0)
- Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for (0)
- Minimization of cost-functions with a non-smooth data-fidelity term . A new approach to the processing of impulsive noise (2003) (0)
- Efficient removing of impulsive noise based on an l/sub 1/-l/sub 2/ cost-function (2003) (0)
- Assumed and effective priors in Bayesian MAP estimation (2000) (0)
- A two-stage method for spectral–spatial classification of hyperspectral images (2020) (0)
- Local continuity and thresholding using truncated quadratic regularization (1999) (0)
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