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CAS IR Grid
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数学与系统科学研究院 [6]
长春光学精密机械与物... [1]
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期刊论文 [6]
会议论文 [1]
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5 The least squares estimator of random variables under convex operators on L-F(infinity) (mu) space
期刊论文
OAI收割
STATISTICS & PROBABILITY LETTERS, 2022, 卷号: 181, 页码: 7
作者:
Sun, Chuanfeng
;
Ji, Shaolin
;
Kong, Chuiliu
  |  
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2022/04/02
Least squares estimator
Conditional expectation
Convex operator
Minimax theorem
KALMAN-BUCY FILTERING AND MINIMUM MEAN SQUARE ESTIMATOR UNDER UNCERTAINTY
期刊论文
OAI收割
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 4, 页码: 2669-2692
作者:
Ji, Shaolin
;
Kong, Chuiliu
;
Sun, Chuanfeng
;
Zhang, Ji-Feng
  |  
收藏
  |  
浏览/下载:16/0
  |  
提交时间:2022/04/02
Kalman-Bucy filtering
minimum mean square estimator
drift uncertainty
convex operator
minimax theorem
backward stochastic differential equation
Stochastic proximal quasi-Newton methods for non-convex composite optimization
期刊论文
OAI收割
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 5, 页码: 922-948
作者:
Wang, Xiaoyu
;
Wang, Xiao
;
Yuan, Ya-xiang
  |  
收藏
  |  
浏览/下载:68/0
  |  
提交时间:2020/01/10
Non-convex composite optimization
Polyak-Lojasiewicz (PL) inequality
stochastic gradient
stochastic variance reduction gradient
symmetric rank one method
rank one proximity operator
complexity bound
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region
期刊论文
OAI收割
Boundary Value Problems, 2019, 卷号: 2019, 期号: 1
作者:
Mao,Jinxiu
;
Zhao,Zengqin
;
Qian,Aixia
  |  
收藏
  |  
浏览/下载:26/0
  |  
提交时间:2019/04/02
Exterior regions
Laplace operator
Concave and convex mixed nonlinear boundary conditions
Fountain theorems
Steklov eigenvalue problems
35J20
35J65
46E22
49R99
An iterative algorithm for third-order tensor multi-rank minimization
期刊论文
OAI收割
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2016, 卷号: 63, 期号: 1, 页码: 169-202
作者:
Yang, Lei
;
Huang, Zheng-Hai
;
Hu, Shenglong
;
Han, Jiye
  |  
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2018/07/30
Third-order tensor multi-rank minimization
Tensor completion
Matrix rank minimization
Operator splitting
Convex relaxation
Far-field focusing of laser beam based on digital image processing techniques (EI CONFERENCE)
会议论文
OAI收割
Optoelectronic Imaging and Multimedia Technology, October 18, 2010 - October 20, 2010, Beijing, China
作者:
Zhao S.
;
Tian Y.-Z.
;
Liu L.-S.
;
Guo J.
;
Zhang H.-Y.
收藏
  |  
浏览/下载:26/0
  |  
提交时间:2013/03/25
In order to lead the laser beam transmit in the atmosphere convergently
an experiment of laser focus at the distance of 450m and 300m has been operated in the outdoor place. The actual manipulations are as follows: Firstly
the laser was collimated by a beam expander
then the near-parallel laser beam was transmitted with a Galileo telescope system
and the distance between the concave lens and the convex lens can be tuned through a precise displacement platform
so the focus of the system changed due to the tiny displacement of the concave lens. Secondly
the average power of the laser spot can be measured using power meter
the power is 47.67mW and the standard deviation is 0.67mW while the focal length is 450m. Thirdly
the energy distribution was found through the laser beam analyzer. The spot images were saved using the beam analyzer
then the saved image can be processed with Matlab software afterwards. The function named EDGE and Sobel operator was used in the pre-processing of the saved image
then method of median filter was used in the course of image de-noising and 53H filter was adopted in the signal analysis. The diameter of laser spot was obtained by the method above
the diameter is 5.56mm and the standard deviation is 0.24mm. The spot center excursion is 0.56mm
it is 10.43% of the total diameter of the laser spot. At last
the key factors of the energy dissipation in the focusing system can be summarized as follows: restriction of the diffraction limit
attenuation in the atmosphere
geometrical aberration of optical system
and the diffraction limit and the geometrical aberration are significant in the three factors above
so we can reduce the impact of the both factors during the design of optical system. The reliable referenced data of the system design can be acquired through the primary experiment research. 2010 SPIE.
On convexity of generalized Wigner-Yanase-Dyson information
期刊论文
OAI收割
LETTERS IN MATHEMATICAL PHYSICS, 2008, 卷号: 83, 期号: 3, 页码: 253-264
作者:
Cai, Liang
;
Luo, Shunlong
  |  
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2018/07/30
Wigner-Yanase-Dyson information
convexity
quantum Fisher information
operator convex functions
Morozova-Chentsov functions