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A SUPERLINEAR VU SPACE-DECOMPOSITION ALGORITHM FOR SEMI-INFINITE CONSTRAINED PROGRAMMING
Pang Li-Ping,Ming Huang,Yuan Lu,Zun-Quan Xia 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.5
In this paper, semi-infinite constrained programming, a class of constrained nonsmooth optimization problems, are transformed into unconstrained nonsmooth convex programs under the help of exact penalty function. The unconstrained objective function which owns the primal-dual gradient structure has connection with VU-space decomposition. Then a VU-space decomposition method can be applied for solving this unconstrained programs. Finally, the superlinear convergence algorithm is proved under certain assumption.
ON A SECOND ORDER PARALLEL VARIABLE TRANSFORMATION APPROACH
Pang, Li-Ping,Xia, Zun-Quan,Zhang, Li-Wei 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.11 No.1
In this paper we present a second order PVT (parallel variable transformation) algorithm converging to second order stationary points for minimizing smooth functions, based on the first order PVT algorithm due to Fukushima (1998). The corresponding stopping criterion, descent condition and descent step for the second order PVT algorithm are given.
Li, Ping,Xie, Xiao-Bing,Chen, Qian,Pang, Guo-Lian,Luo, Wan,Tu, Jian-Cheng,Zheng, Fang,Liu, Song-Mei,Han, Lu,Zhang, Jian-Kun,Luo, Xian-Yong,Zhou, Xin Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.16
Background: Recent studies have indicated that microRNA-15a (miR-15a) is dysregulated in breast cancer (BC). We aimed to evaluate the expression of miR-15a in BC tissues and corresponding para-carcinoma tissues. We also focused on effects of miR-15a on cellular behavior of MDA-MB-231 and expression of its target gene synuclein-${\gamma}$ (SNCG). Materials and Methods: The expression levels of miR-15a were analysed in BC formalin fixed paraffin embedded (FFPE) tissues by microarray and quantitative real-time PCR. CCK-8 assays, cell cycle and apoptosis assays were used to explore the potential functions of miR-15a in MDA-MB-231 human BC cells. A luciferase reporter assay confirmed direct targets. Results: Downregulation of miR-15a was detected in most primary BCs. Ectopic expression of miR-15a promoted proliferation and suppressed apoptosis in vivo. Further studies indicated that miR-15a may directly interact with the 3'-untranslated region (3'-UTR) of SNCG mRNA, downregulating its mRNA and protein expression levels. SNCG expression was negatively correlated with miR-15a expression. Conclusions: MiR-15a has a critical role in mediating cell cycle arrest and promoting cell apoptosis of BC, probably by directly targeting SNCG. Thus, it may be involved in development and progression of BC.
AN APPROXIMATE ALTERNATING LINEARIZATION DECOMPOSITION METHOD
Li, Dan,Pang, Li-Ping,Xia, Zun-Quan The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
An approximate alternating linearization decomposition method, for minimizing the sum of two convex functions with some separable structures, is presented in this paper. It can be viewed as an extension of the method with exact solutions proposed by Kiwiel, Rosa and Ruszczynski(1999). In this paper we use inexact optimal solutions instead of the exact ones that are not easily computed to construct the linear models and get the inexact solutions of both subproblems, and also we prove that the inexact optimal solution tends to proximal point, i.e., the inexact optimal solution tends to optimal solution.
Li, Xue,Zhao, Lu-Jun,Liu, Ning-Bo,Zhang, Wen-Cheng,Pang, Qing-Song,Wang, Ping,Yuan, Zhi-Yong Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.4
Background: To evaluate the safety and efficacy of combined chemoradiotherapy or radiotherapy alone in elderly patients with esophageal carcinoma to identify the best method of treatment. Materials and Methods: One hundred and sixteen patients with esophageal carcinoma aged 70 and older who received definitive radiotherapy or chemoradiotherapy entered the study. Overall survival (OS), disease-free survival (DFS) and treatment-related toxicities were assessed. Results: The median OS of the overall population was 17.9 months. For patients treated with cCRT, sCRT and radiotherapy alone, the median OS was 22.3 months, 18.0 months and 12.4 months respectively(P=0.044). Median OS for patients treated with radiotherapy dose ${\geq}60Gy$ and <60Gy was 20.2 months and 10.9 months respectively (p=0.017). By univariate analysis, Chemoradiotherapy (include cCRT and sCRT) and radiotherapy dose ${\geq}60Gy$ were found to achieve higher survival rates compared with radiotherapy alone and radiotherapy dose <60Gy (P=0.015, P=0.017). By multivariate analysis, chemoradiotherapy (HR=1.645, P=0.022) and radiotherapy dose ${\geq}60Gy$ (HR=1.642, P=0.025) were identified as independent prognostic factors of OS. Conclusions: Definitive concurrent chemoradiotherapy could be considered as a feasible and effective treatment in esophageal carcinoma patients aged 70 and older. Radiotherapy dose 60Gy is an effective treatment option compared with standard dose radiotherapy, while higher doses are not beneficial to improve survival.
A SUPERLINEAR $\mathcal{VU}$ SPACE-DECOMPOSITION ALGORITHM FOR SEMI-INFINITE CONSTRAINED PROGRAMMING
Huang, Ming,Pang, Li-Ping,Lu, Yuan,Xia, Zun-Quan The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.5
In this paper, semi-infinite constrained programming, a class of constrained nonsmooth optimization problems, are transformed into unconstrained nonsmooth convex programs under the help of exact penalty function. The unconstrained objective function which owns the primal-dual gradient structure has connection with $\mathcal{VU}$-space decomposition. Then a $\mathcal{VU}$-space decomposition method can be applied for solving this unconstrained programs. Finally, the superlinear convergence algorithm is proved under certain assumption.
A QUASI-NEWTON BUNDLE METHOD BASED ON APPROXIMATE SUBGRADIENTS
Jie, Shen,Pang, Li-Ping 한국전산응용수학회 2007 Journal of applied mathematics & informatics Vol.23 No.1
In this paper we propose an implementable method for solving a nonsmooth convex optimization problem by combining Moreau-Yosida regularization, bundle and quasi-Newton ideas. The method we propose makes use of approximate subgradients of the objective function, which makes the method easier to implement. We also prove the convergence of the proposed method under some additional assumptions.