Search Results - Sum of nonconvex function and composite functions

Novel DCA based algorithms for a special class of nonconvex problems with application in machine learning by Le Thi, Hoai An, Le, Hoai Minh, Phan, Duy Nhat, Tran, Bach

“…•We address the problem of minimizing the sum of a nonconvex, differentiable function and composite functions by DC…”
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The Boosted Double-proximal Subgradient Algorithm for nonconvex optimization by Aragón-Artacho, Francisco J., Pérez-Aros, Pedro, Torregrosa-Belén, David

“… nonsmooth and nonconvex mathematical programs expressed as sums and differences of composite functions…”
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Quasi-Newton type proximal gradient method for nonconvex nonsmooth composite optimization problems by Wang, Tanxing, Jiang, Yaning, Cai, Xingju

“…In this paper, we propose two quasi-Newton type proximal gradient methods for a class of nonconvex nonsmooth composite optimization problems, where the objective function is the sum of a smooth…”
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A FISTA-type accelerated gradient algorithm for solving smooth nonconvex composite optimization problems by Liang, Jiaming, Monteiro, Renato D. C., Sim, Chee-Khian

“…) variants to solve a smooth nonconvex composite optimization problem whose objective function is the sum of a nonconvex differentiable function f with a Lipschitz continuous gradient and a simple…”
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Bregman Proximal Linearized ADMM for Minimizing Separable Sums Coupled by a Difference of Functions by Pham, Tan Nhat, Dao, Minh N., Eberhard, Andrew, Sultanova, Nargiz

“… is the separable sum of possibly nonconvex nonsmooth functions and a smooth function, coupled by a difference of functions…”
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A proximal bundle method for a class of nonconvex nonsmooth composite optimization problems by Pang, Liping, Wang, Xiaoliang, Meng, Fanyun

“… The composite problem considered here is the sum of two functions: one is convex and the other is nonconvex…”
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Doubly relaxed forward-Douglas–Rachford splitting for the sum of two nonconvex and a DC function by Dao, Minh N., Pham, Tan Nhat, Tung, Phan Thanh

“…In this paper, we consider a class of structured nonconvex nonsmooth optimization problems whose objective function is the sum of three nonconvex functions, one of which is expressed in a difference-of-convex (DC) form…”
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Globalized inexact proximal Newton-type methods for nonconvex composite functions by Kanzow, Christian, Lechner, Theresa

“…Optimization problems with composite functions consist of an objective function which is the sum of a smooth and a (convex) nonsmooth term…”
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A fast computational Gauss–Seidel type iPALM algorithm using an incremental aggregated gradient strategy for weakly convex composite optimization problems with application in image processing by Jia, Zehui, Hou, Junru, Dong, Ping, Liu, Zhiyu

“…) for solving a class of nonconvex and nonsmooth composite optimization problems, whose objective function is the sum of a finite number of smooth nonconvex functions and nonsmooth weakly convex functions…”
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Inexact proximal DC Newton-type method for nonconvex composite functions by Nakayama, Shummin, Narushima, Yasushi, Yabe, Hiroshi

“…We consider a class of difference-of-convex (DC) optimization problems where the objective function is the sum of a smooth function and a possibly nonsmooth DC function…”
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An Adaptive Proximal Bundle Method with Inexact Oracles for a Class of Nonconvex and Nonsmooth Composite Optimization by Wang, Xiaoliang, Pang, Liping, Wu, Qi, Zhang, Mingkun

“… The composite problems are the sum of a finite convex function with inexact information and a nonconvex function…”
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MOCCA: Mirrored Convex/Concave Optimization for Nonconvex Composite Functions by Barber, Rina Foygel, Sidky, Emil Y

“…Many optimization problems arising in high-dimensional statistics decompose naturally into a sum of several terms, where the individual terms are relatively simple but the composite objective function…”
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Proximal variable smoothing method for three-composite nonconvex nonsmooth minimization with a linear operator by Liu, Yuncheng, Xia, Fuquan

“…In this paper, we consider a class of three-composite nonconvex nonsmooth optimization problems, where one of nonsmooth functions is further composed with linear operator…”
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An extrapolated proximal iteratively reweighted method for nonconvex composite optimization problems by Ge, Zhili, Wu, Zhongming, Zhang, Xin, Ni, Qin

“…We consider a class of problems where the objective function is the sum of a smooth function and a composition of nonconvex and nonsmooth functions…”
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A Bregman inertial forward-reflected-backward method for nonconvex minimization by Wang, Xianfu, Wang, Ziyuan

“…We propose a Bregman inertial forward-reflected-backward (BiFRB) method for nonconvex composite problems…”
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A hybrid stochastic alternating direction method of multipliers for nonconvex and nonsmooth composite optimization by Zeng, Yuxuan, Bai, Jianchao, Wang, Shengjia, Wang, Zhiguo, Shen, Xiaojing

“…•Comparison experiments demonstrate the efficiency of the algorithm. Nonconvex and nonsmooth composite optimization problems with linear constraints have gained significant attention in practical applications…”
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Smoothing randomized block-coordinate proximal gradient algorithms for nonsmooth nonconvex composite optimization by Li, Xue, Bian, Wei

“…) algorithm and a Bregman randomized block-coordinate proximal gradient (B-RBCPG) algorithm for minimizing the sum of two nonconvex nonsmooth functions, one of which is block separable…”
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Inexact proximal memoryless quasi-Newton methods based on the Broyden family for minimizing composite functions by Nakayama, Shummin, Narushima, Yasushi, Yabe, Hiroshi

“…This study considers a proximal Newton-type method to solve the minimization of a composite function that is the sum of a smooth nonconvex function and a nonsmooth convex function…”
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The Equivalence of Three Types of Error Bounds for Weakly and Approximately Convex Functions by Bai, Sixuan, Li, Minghua, Lu, Chengwu, Zhu, Daoli, Deng, Sien

“… Then we apply these equivalence results to a class of nonconvex optimization problems, whose objective functions are the sum of a convex function and a composite function with a locally Lipschitz…”
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An accelerated mirror descent algorithm for constrained nonconvex problems by Gao, Xue, Jiang, Yaning, Cai, Xingju, Wang, Kai

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