Local linear convergence analysis of Primal–Dual splitting methods

In this paper, we study the local linear convergence properties of a versatile class of Primal–Dual splitting methods for minimizing composite non-smooth convex optimization problems. Under the assumption that the non-smooth components of the problem are partly smooth relative to smooth manifolds, we present a unified local convergence analysis framework for these methods. More precisely, in our framework, we first show that (i) the sequences generated by Primal–Dual splitting methods identify a pair of primal and dual smooth manifolds in a finite number of iterations, and then (ii) enter a local linear convergence regime, which is characterized based on the structure of the underlying active smooth manifolds. We also show how our results for Primal–Dual splitting can be specialized to cover existing ones on Forward–Backward splitting and Douglas–Rachford splitting/ADMM (alternating direction methods of multipliers). Moreover, based on these obtained local convergence analysis result, several practical acceleration techniques are discussed. To exemplify the usefulness of the obtained result, we consider several concrete numerical experiments arising from fields including signal/image processing, inverse problems and machine learning. The demonstration not only verifies the local linear convergence behaviour of Primal–Dual splitting methods, but also the insights on how to accelerate them in practice.     

浅谈乒乓球运动特点和发展规律

通过对乒乓球运动特点和发展规律的探讨,进一步加深了对本项目特点和发展规律的理解和掌握,为提高科学的教学、训练水平,培养高水平人才提供借鉴。     

西部大开发与投资主体结构调整

投资主体结构调整是投资结构调整的重点，也是我国全面实施经济结构调整中的重要组成部分，更是西部大开发的关键。西部地区要改变以前不合理的投资主体结构，需要从转变投资观念，改善投资环境，投资主体以政府投资为主转向多元化投资，投资客体从硬件力向软件等方面来调整投资结构。     

城市技术创新促进城乡统筹发展的研究

揭示了城市技术创新系统和城乡统筹发展的内涵,并在技术创新、增长极和区域经济等理论框架下阐述了城市技术创新与城乡统筹发展的关系,进而提出城市技术创新促进城乡统筹的路径。     

SWITRIM��������ƺ�ʹ�øſ�

研制出了用于计算氚投料量在FEB聚变堆各个子系统中的分布及其随时间变化的数值模拟程序包SWITRIM。通过近5年的使用，表明其运行良好、计算结果可靠。用SWITRIM数值模拟研究了聚变堆起动过程中的“氚坑深度和氚坑时间”新现象。简单介绍了SWITRIM程序包的组成和用户使用说明以及最新的运用等。     

20世纪中国女性文学中女性意识的嬗变与发展

20世纪中国女性文学的女性意识经历了五四时期的觉醒期,30年代至70年代的消融期和80至90年代后的发展期。在女性意识的嬗变发展过程中,显示着女性意识由自觉走向自醒,由模糊困顿到明晰多样。从不同阶段女性意识的不同特点中,可以透视出20世纪女性文学在发展过程中所取得的成绩及面临的困惑。     

以科学发展观创新我国的环境标准

科学发展观是对可持续发展的新概括新发展,贯彻和落实科学发展观是构建社会主义和谐社会的必然途径。我们要把这种理念切实贯彻于制度建设中,具体到我国环境标准制度建设,就是要用科学发展观来指导环境标准的创新。     

面向化妆品产业升级的江南大学应用化学专业建设思考与实践

Based on the development prospect of cosmetics industry, the advantage of light industry characteristic and the foundation of applied chemistry in Jiangnan University, a systematic upgrading of applied chemistry was carried out through "emerging engineering education (3E)" project "upgrade and practice of chemistry-related majors of local and/or trade university responding to the social developments" supported by the Ministry of Education. On the basis of investigation and analysis, the orientation and training goal of applied chemistry were updated first, and then the curriculum system was determined and the curriculum construction is strengthened, so as to achieve more distinctive characteristics, more solid foundation and more comprehensive quality. In view of the new requirements of the 3E for talent training, some practices have been formed in the aspects of multi-disciplinary integration, multi-angle coordination and close integration to industry. Contributing the development of cosmetics industry and seizing the commanding point of science and technology from the perspective of talent training, will play a unique role in human social progress.     

江西大青属药用植物资源及开发利用

介绍了江西大青属（赤贞桐属）（ＣｌｅｒｏｄｅｎｄｒｕｍＬ．）药用植物种类、地理分布以及临床疗效等,同时对该属药用植物种类进行了本草考证,对该属资源的合理开发利用提出了建议。     

The circular chemistry conceptual framework: A way forward to sustainability in industry 4.0

1. Download : Download high-res image (233KB)
2. Download : Download full-size image