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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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SONC optimization and exact nonnegativity certificates via second-order cone programming
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
Authors:
Magron, Victor
;
Wang, Jie
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View/Download:5/0
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Submit date:2023/02/07
Sum of nonnegative circuit polynomials
Second -order cone programming
Polynomial optimization
Sum of binomial squares
Rounding -projection algorithm
Exact nonnegativity certificate
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS
期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:
Liu, Xin-Wei
;
Dai, Yu-Hong
;
Huang, Ya-Kui
;
Sun, Jie
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View/Download:23/0
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Submit date:2023/02/07
Nonlinear programming
inequality-constrained optimization
augmented Lagrangian method of multipliers
strong global convergence
local convergence
On the acceleration of the Barzilai-Borwein method
期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 24
Authors:
Huang, Yakui
;
Dai, Yu-Hong
;
Liu, Xin-Wei
;
Zhang, Hongchao
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View/Download:75/0
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Submit date:2022/04/02
Barzilai-Borwein method
Gradient methods
Finite termination
Quadratic optimization
On the Asymptotic Convergence and Acceleration of Gradient Methods
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
Authors:
Huang, Yakui
;
Dai, Yu-Hong
;
Liu, Xin-Wei
;
Zhang, Hongchao
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View/Download:76/0
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Submit date:2022/04/02
Gradient methods
Asymptotic convergence
Spectral property
Acceleration of gradient methods
Barzilai-Borwein method
Unconstrained optimization
Quadratic optimization
A NEW ADAPTIVE SUBSPACE MINIMIZATION THREE-TERM CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 2, 页码: 159-177
Authors:
Zhang, Keke
;
Liu, Hongwei
;
Liu, Zexian
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View/Download:87/0
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Submit date:2021/01/14
Conjugate gradient method
Nonmonotone line search
Subspace minimization
Sufficient descent condition
Global convergence
EQUIPPING THE BARZILAI-BORWEIN METHOD WITH THE TWO DIMENSIONAL QUADRATIC TERMINATION PROPERTY
期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3068-3096
Authors:
Ya-Kui Huang
;
Yu-Hong Dai
;
Xin-Wei Liu
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View/Download:63/0
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Submit date:2022/04/02
Barzilai-Borwein method
quadratic termination property
unconstrained opti-mization
extreme eigenvalue problem
box-constrained optimization
singly linearly box-constrained optimization
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization
期刊论文
NUMERICAL ALGORITHMS, 2020, 页码: 34
Authors:
Zhao, Ting
;
Liu, Hongwei
;
Liu, Zexian
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Submit date:2021/01/14
Conjugate gradient method
p-regularization model
Subspace technique
Nonmonotone line search
Unconstrained optimization
An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit
期刊论文
SENSORS, 2020, 卷号: 20, 期号: 11, 页码: 25
Authors:
Hu, Xiaoyin
;
Liu, Xin
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Submit date:2020/09/23
dual principal component pursuit
orthogonality constraint
sparse dictionary learning
stiefel manifold
On the existence of affine invariant descent directions
期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 17
Authors:
Dai, Yu-Hong
;
Jarre, Florian
;
Lieder, Felix
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View/Download:80/0
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Submit date:2020/05/24
Affine invariance
descent direction
Newton direction
A Brief Introduction to Manifold Optimization
期刊论文
Journal of the Operations Research Society of China, 2020, 卷号: 8, 期号: 2, 页码: 199-248
Authors:
Hu Jiang
;
Liu Xin
;
Wen Zaiwen
;
Yuan Yaxiang
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Submit date:2021/01/14
Convergence
First-order-type algorithms
Manifold optimization
Retraction
Second-order-type algorithms