Found 406 Documents (Results 1–100)
A proximal gradient method with double inertial steps for minimization problems involving demicontractive mappings. (English) Zbl 07917596
An approximation proximal gradient algorithm for nonconvex-linear minimax problems with nonconvex nonsmooth terms. (English) Zbl 07914898
Almost sure convergence rates of stochastic proximal gradient descent algorithm. (English) Zbl 07914185
Complexity-optimal and parameter-free first-order methods for finding stationary points of composite optimization problems. (English) Zbl 07909892
Optimality conditions and numerical algorithms for a class of linearly constrained minimax optimization problems. (English) Zbl 07909888
MSC:
90C30
A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems. (English) Zbl 07902420
Marginal likelihood estimation in semiblind image deconvolution: a stochastic approximation approach. (English) Zbl 07896972
MGProx: a nonsmooth multigrid proximal gradient method with adaptive restriction for strongly convex optimization. (English) Zbl 07896743
Smoothing composite proximal gradient algorithm for sparse group Lasso problems with nonsmooth loss functions. (English) Zbl 1542.90151
Joint sparse optimization: lower-order regularization method and application in cell fate conversion. (English) Zbl 07889261
Fast gradient algorithm with dry-like friction and nonmonotone line search for nonconvex optimization problems. (English) Zbl 07887991
A novel nonconvex relaxation approach to low-rank matrix completion of inexact observed data. (English) Zbl 07881526
Continuous exact relaxation and alternating proximal gradient algorithm for partial sparse and partial group sparse optimization problems. (English) Zbl 07878718
Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients. (English) Zbl 07869117
MSC:
65-XX
Deep unrolling networks with recurrent momentum acceleration for nonlinear inverse problems. (English) Zbl 07867327
MSC:
68Txx
Derivative-free alternating projection algorithms for general nonconvex-concave minimax problems. (English) Zbl 07860642
Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. (English) Zbl 07853743
Stochastic Gauss-Seidel type inertial proximal alternating linearized minimization and its application to proximal neural networks. (English) Zbl 07849988
Nonsmooth optimization over the Stiefel manifold and beyond: proximal gradient method and recent variants. (English) Zbl 07849543
MSC:
90C30
The inexact cyclic block proximal gradient method and properties of inexact proximal maps. (English) Zbl 07846598
MSC:
90C30
Optimal control problems with \(L^0 (\Omega)\) constraints: maximum principle and proximal gradient method. (English) Zbl 07838092
Proximal variable smoothing method for three-composite nonconvex nonsmooth minimization with a linear operator. (English) Zbl 1536.65064
Proximal gradient algorithm with trust region scheme on Riemannian manifold. (English) Zbl 07827860
MSC:
90C48
A penalty-free infeasible approach for a class of nonsmooth optimization problems over the Stiefel manifold. (English) Zbl 1535.65076
Monotonicity for multiobjective accelerated proximal gradient methods. (English) Zbl 1542.90219
MSC:
90C29
Sharper bounds for proximal gradient algorithms with errors. (English) Zbl 1533.65083
Reviewer: Steven B. Damelin (Ann Arbor)
Low-rank matrix estimation via nonconvex optimization methods in multi-response errors-in-variables regression. (English) Zbl 1532.90085
Proximal gradient method with extrapolation and line search for a class of non-convex and non-smooth problems. (English) Zbl 1536.90165
A class of modified accelerated proximal gradient methods for nonsmooth and nonconvex minimization problems. (English) Zbl 1530.65066
Scaled proximal gradient methods for sparse optimization problems. (English) Zbl 1530.65063
Reviewer: Hang Lau (Montréal)
An image inpainting algorithm using exemplar matching and low-rank sparse prior. (English) Zbl 1535.90159
High-dimensional \(M\)-estimation for Byzantine-robust decentralized learning. (English) Zbl 1527.62029
Hybrid SGD algorithms to solve stochastic composite optimization problems with application in sparse portfolio selection problems. (English) Zbl 07738672
Bregman methods for large-scale optimization with applications in imaging. (English) Zbl 07914336
Chen, Ke (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Springer Reference. Cham: Springer. 97-138 (2023).
Inertial proximal gradient method using adaptive stepsize for convex minimization problems. (English) Zbl 07829174
Integer optimal control problems with total variation regularization: optimality conditions and fast solution of subproblems. (English) Zbl 1531.49026
First order inertial optimization algorithms with threshold effects associated with dry friction. (English) Zbl 1537.37113
Convex bi-level optimization problems with nonsmooth outer objective function. (English) Zbl 07771600
Convergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions. (English) Zbl 1535.65073
Reviewer: Ctirad Matonoha (Praha)
A fixed step distributed proximal gradient push-pull algorithm based on integral quadratic constraint. (English) Zbl 1531.93155
Convergence analysis of proximal gradient algorithm with extrapolation for a class of convex nonsmooth minimization problems. (English) Zbl 1522.65097
Sparse feedback stabilisation of linear delay systems by proximal gradient method. (English) Zbl 1527.93349
Reviewer: Kaïs Ammari (Monastir)
A diagonal finite element-projection-proximal gradient algorithm for elliptic optimal control problem. (English) Zbl 1538.49040
New proximal bundle algorithm based on the gradient sampling method for nonsmooth nonconvex optimization with exact and inexact information. (English) Zbl 1523.65050
Accelerated first-order methods for convex optimization with locally Lipschitz continuous gradient. (English) Zbl 1522.90101
Proximal gradient/semismooth Newton methods for projection onto a polyhedron via the duality-gap-active-set strategy. (English) Zbl 1532.90069
MSC:
90C20
An alternating structure-adapted Bregman proximal gradient descent algorithm for constrained nonconvex nonsmooth optimization problems and its inertial variant. (English) Zbl 1522.90124
An elementary approach to tight worst case complexity analysis of gradient based methods. (English) Zbl 1522.90105
A two-phase rank-based algorithm for low-rank matrix completion. (English) Zbl 1532.90092
MSC:
90C27
A forward-backward algorithm with different inertial terms for structured non-convex minimization problems. (English) Zbl 1522.90131
Convergence of inertial dynamics driven by sums of potential and nonpotential operators with implicit Newton-like damping. (English) Zbl 1531.37081
Reviewer: Julien Ugon (Burwood)
An accelerated tensorial double proximal gradient method for total variation regularization problem. (English) Zbl 1531.90122
MSC:
90C30
A Newton-type proximal gradient method for nonlinear multi-objective optimization problems. (English) Zbl 1522.90085
Stochastic variable metric proximal gradient with variance reduction for non-convex composite optimization. (English) Zbl 1517.62017
Smoothing fast proximal gradient algorithm for the relaxation of matrix rank regularization problem. (English) Zbl 1527.90165
A distributed proximal gradient method with time-varying delays for solving additive convex optimizations. (English) Zbl 1529.90058
A generalized inertial proximal alternating linearized minimization method for nonconvex nonsmooth problems. (English) Zbl 1527.90181
A unified analysis of convex and non-convex \(\ell_p\)-ball projection problems. (English) Zbl 1519.90234
A mini-batch proximal stochastic recursive gradient algorithm with diagonal Barzilai-Borwein stepsize. (English) Zbl 1524.90222
An alternative extrapolation scheme of PDHGM for saddle point problem with nonlinear function. (English) Zbl 1517.90160
MSC:
90C47
Proximal nested primal-dual gradient algorithms for distributed constraint-coupled composite optimization. (English) Zbl 1511.90324
A smoothing proximal gradient algorithm with extrapolation for the relaxation of \({\ell_0}\) regularization problem. (English) Zbl 1516.90103
A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods. (English) Zbl 1516.90094
The Lezanski-Polyak-Lojasiewicz inequality and the convergence of the gradient projection algorithm. (English) Zbl 07666956
On inexact stochastic splitting methods for a class of nonconvex composite optimization problems with relative error. (English) Zbl 07663249
Regrets of proximal method of multipliers for online non-convex optimization with long term constraints. (English) Zbl 1511.90338
MSC:
90C26
Composite optimization with coupling constraints via dual proximal gradient method with applications to asynchronous networks. (English) Zbl 1528.93018
One-bit gridless DOA estimation with multiple measurements exploiting accelerated proximal gradient algorithm. (English) Zbl 1509.94030
MSC:
94A12
Solving constrained nonsmooth group sparse optimization via group Capped-\(\ell_1\) relaxation and group smoothing proximal gradient algorithm. (English) Zbl 1518.90087
A proximal-based algorithm for piecewise sparse approximation with application to scattered data fitting. (English) Zbl 07659891
An active-set proximal quasi-Newton algorithm for \(\ell_1\)-regularized minimization over a sphere constraint. (English) Zbl 1510.90265
A dual active-set proximal Newton algorithm for sparse approximation of correlation matrices. (English) Zbl 1509.90198
MSC:
90C30
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