Nonconvex Optimization
Joint reconstruction and motion estimation via nonconvex optimization for dynamic MRI
... challenging optimization of such a model, we will develop an algorithm related to recently developed nonconvex optimization ...different optimization methods we develop synthetic ...
75
Distributed stochastic power control in ad hoc networks: a nonconvex optimization case
... Signal-to-interference-plus-noise-based power allocation in wireless ad hoc networks is inherently a nonconvex optimization problem because of the global coupling induced by the co-channel interference. To ...
14
A photoacoustic image reconstruction method using total variation and nonconvex optimization
... the nonconvex optimization into the PAI reconstruction. This nonconvex optimization setting can provide more stable and accurate result under the sparse-view ...the nonconvex ...
29
An efficient improvement of the Newton method for solving nonconvex optimization problems
... In this paper, we proposed a regularized Newton method for unconstrained min- imization problems, and analyzed its global convergence. Convex and nonconvex problems can be solved using the presented algorithm. We ...
17
Constrained sequential lamination: nonconvex optimization and material microstructure
... portions of these line segments, computing the lamination afresh at each point in this plane results in an energy reduction of less than 10% near the origin. This difficulty can be attributed to an ‘algorithmic’ energy ...
123
Gene selection using support vector machines with nonconvex penalty
... special nonconvex pen- alty, called the smoothly clipped absolute deviation penalty, is imposed on the hinge loss function in the ...and nonconvex optimization problem into easily solved linear ...
9
Optimal Power Allocation with Channel Inversion Regularization-Based Precoding for MIMO Broadcast Channels
... nonlinear nonconvex optimization problem. To solve globally this nonconvex optimization problem, we can resort to the global difference of convex ...(d.c.) optimization technique via ...
8
Model-free Nonconvex Matrix Completion: Local Minima Analysis and Applications in Memory-efficient Kernel PCA
... in nonconvex optimization have discussed why and when first-order iterative algorithms can avoid strict saddle points almost ...the nonconvex objective function, a variety of first order algorithms ...
39
Efficient evolutionary particle swarm optimization approach for nonconvex economic load dispatch problem
... The economic load dispatch (ELD) is about minimizing the total generation cost of generating units in order to meet the power demand while satisfying equality and inequality constraints. Traditionally, the cost function ...
5
MOCCA: Mirrored Convex/Concave Optimization for Nonconvex Composite Functions
... in nonconvex optimization problems, such as the regression-with-errors- in-variables scenario described in Section ...an optimization algorithm is initialized ...
51
An inexact proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth optimization problems
... In this section, we apply the proposed method to solve a nonconvex optimization problem which arises in portfolio selection [25], neural network [26, 27], and compressed sensing [28]. Some preliminary ...
16
Sensitivity analysis of general nonconvex variational inequalities
... The equations of type () are called general nonconvex Wiener-Hopf equations. Note that if r = ∞ and h = I, the identity operator, then the nonlinear Wiener-Hopf equations are ex- actly the same Wiener-Hopf ...
9
Efficient Learning with a Family of Nonconvex Regularizers by Redistributing Nonconvexity
... the nonconvex models are very low (2 − 9 in Table 6), N2C-FW is much faster than the others as it starts from a rank-one matrix and only increases its rank by one in each ...
52
Nonconvex matrix completion with Nesterov’s acceleration
... Previous work [16] used the alternating least squares (ALS) procedure to optimize the nonconvex matrix completion. However, this method has high time complexities and requires more iterations to reach convergence, ...
12
Some remarks on regularized nonconvex variational inequalities
... It is worth mentioning that most of the results regarding the existence and iterative ap- proximation of solutions to variational inequality problems have been investigated and considered so far to the case where the ...
16
Nonconvex composite multiobjective nonsmooth fractional programming
... Authors’ contributions DSK presented necessary and sufficient optimality conditions, formulated Mond-Weir type dual problem and established weak, strong and converse duality theorems for n[r] ...
10
Some fixed point theorems for nonconvex spaces
... We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prov[r] ...
5
A Nonconvex Projection Method for Robust PCA
... Contributions. We solved the RPCA and RMC problems by addressing the original decomposition problem (3) di- rectly, without introducing any optimization objective or sur- rogate constraints. This is a novel ...
9
The maximal Hilbert transform along nonconvex curves
... Carleson, H, Christ, M, Córdoba, A, Duoandikoetxea, J, Rubio de Francia, JL, Vance, J, Wainger, S, Weinberg, D: Lp estimates for maximal functions and Hilbert transforms along flat convex[r] ...
14
Fully discrete Finite Element Approximations of Semilinear Parabolic Equations in a Nonconvex Polygon
... The purpose of this paper is to study certain error estimates for piecewise linear finite element approximations to solutions of the semilinear parabolic equations in a nonconvex polygonal domain. We consider the ...
7