# [PDF] Top 20 Linear inverse problems with noise: primal and primal-dual splitting

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### Linear inverse problems with noise: primal and primal-dual splitting

... 1 **and** 2 share some similarities, but exhibit also important ...the **primal**-**dual** algo- rithm enjoys a convergence rate that is not known for the **primal** ...Φ **and** H, while the former ... Voir le document complet

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### Inverse problems with poisson noise: Primal and primal-dual splitting

... ear **inverse** **problems** when the observations are corrupted by Poisson ...positive **and** sparsely represented in a dic- tionary of ...the **inverse** problem is cast as the minimization of a non-smooth ... Voir le document complet

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### A dual-primal coupling technique with local time step for wave propagation problems

... must be determined. We point out that for each time intervale [t 2n , t 2n+2 ] there are three of these quantities. We must then write three **linear** independent equations that will allow us to obtain them ... Voir le document complet

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### Interior-point methids of primal-dual central-path type for solving some classes of linear complementarity problemes over symmetric cones

... concerned **with** the analysis, implementation of interior-point methods ...of **problems**: horizontal **linear** complementarity prob- lems (HLCPs) **and** Semidefinite **linear** complementarity ... Voir le document complet

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### STOCHASTIC PRIMAL-DUAL HYBRID GRADIENT ALGORITHM WITH ARBITRARY SAMPLING AND IMAGING APPLICATIONS

... of-the-art **problems**—to name a few examples in imaging: image denoising **with** the structure tensor [ 22 ], total generalized variation denoising [ 11 ], dynamic regularization [ 7 ], multi-modal medical ... Voir le document complet

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### Inverse Problems with Time-frequency Dictionaries and non-white Gaussian Noise

... a **linear** regression framework under the assumption that only a few regressors, also called variables or features, are ...non-informative **and** their associated coefficients should be ...MEG **and** EEG are ... Voir le document complet

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### A first-order primal-dual algorithm for convex problems with applications to imaging

... ill-posed **inverse** imaging ...Convex **and** non-convex **problems**. The advantage of convex **problems** over non-convex **problems** is that a global optimum can be computed, in general **with** a ... Voir le document complet

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### A Class of Randomized Primal-Dual Algorithms for Distributed Optimization

... in **primal**-**dual** approaches for finding a zero of a sum of monotone operators or minimizing a sum of proper lower-semicontinuous convex functions (see [ 36 ] **and** the references ...various **linear** ... Voir le document complet

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### Solving inverse problems with overcomplete transforms and convex optimization techniques

... Keywords: **inverse** **problems**, wavelets, redundant transforms, convex optimization, proximal operator, restoration ...imperfection **and** acquisition mode, observed data are often noisy **and** degraded ... Voir le document complet

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### Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration

... the **primal**- **dual** algorithm that we have investigated has been evaluated in an online image restoration problem in which the data are blurred by a stochastic point spread function **and** corrupted ... Voir le document complet

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### Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators

... minimax **and** saddle point **problems** [ 27 , 29 , 32 , 39 ], **and**, from a more global perspective, monotone inclusions [ 5 , 9 , 10 , 16 , 31 , 37 , 38 ...B **and** D (see ( ...analysis **and** ... Voir le document complet

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### Dynamic Placement with Connectivity for RSNs based on a Primal-Dual Neural Network

... (6) **and** (8). 3 Neural network as a fast solver for **linear** quadratic programs The basic idea for solving an optimization problem using a tailored neural network is to make sure that the neural network will ... Voir le document complet

7

### The convex algebraic geometry of linear inverse problems

... 1}, **and** therefore a lower bound to the optimal value of the **dual** convex program ...x **with** respect to C( A ) is smaller than the tangent cone at (an appropriately scaled) ˜ x **with** respect to ... Voir le document complet

6

### A linear model approach for ultrasonic inverse problems with attenuation and dispersion

... ultrasonic **inverse** **problems** by including attenuation **and** dispersion in the direct ...contrast **with** the methods described above [23–27], we yield a more constrained description of the ...a ... Voir le document complet

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### Local Linear Convergence Analysis of Primal-Dual Splitting Methods

... the **primal** or the **dual** ...the **primal** **and** **dual** **problems** are strongly convex [ 13 , 9 ], or locally linearly under certain regularity assumptions [ 35 ...local **linear** ... Voir le document complet

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### Primal-dual interior point optimization for a regularized reconstruction of NMR relaxation time distributions

... Computational **and** Applied Mathematics, ...optimization,” **Inverse** **Problems**, ...Gould, **and** L. Toint, “A **primal**-**dual** algo- rithm for minimizing a nonconvex function subject to ... Voir le document complet

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### Analysis of decentralized potential field based multi-agent navigation via primal-dual Lyapunov theory

... lem **with** potential field based path planning algorithms in multi-agent systems is the existence of local minima ...Koditschek **and** Rimon [8] involved navigation of a single robot in an environment of ... Voir le document complet

7

### Fast constrained least squares spectral unmixing using primal-dual interior point optimization

... mixtures **with** abundances simulated from a Dirichlet ...realizations **with** maximum abundance value lower than a specified level A max are ...Gaussian **noise** is added to each resulting mixture spectrum, ... Voir le document complet

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### Quadratic error bound of the smoothed gap and the restarted averaged primal-dual hybrid gradient

... error **and** optimality ...quantity **and** if the Lagrangian’s gradient is metrically subregular [23], then a small KKT error implies that the current point is close to the set of saddle ...the **primal** ... Voir le document complet

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### Aggregation for Linear Inverse Problems

... cases **and** in the severely ill-posed setting, this term becomes dominant in the upper ...for **inverse** **problems** have the same kind of drawbacks than ℓ 1 penalization procedure since they cannot handle ... Voir le document complet

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