An efficient gradient method for maximum entropy regularizing retrieval of atmospheric aerosol particle size distribution function
会议名称：《中国科学院地质与地球物理研究所2008学术年会》
会议日期：2009年
学科分类：07[理学] 070602[理学-大气物理学与大气环境] 0706[理学-大气科学]
关 键 词：Aerosol particle size distribution Moment problem Inversion Maximum entropy regularization Gradient method
摘 要：The aerosol particle size distribution function can be retrieved by solving the moment *** is an ill-posed problem,since it is known that,we are often faced with limited/insufficient observations in remote sensing and the observations are *** overcome the ill-posed nature,regularization techniques such as Phillips-Twomey ’s regularization,Tikhonov’s smooth regularization as well as some iterative methods were *** the particle size distribution function is always nonnegative,and we are often faced with incomplete data,the concept of maximum entropy from information theory and statistic mechanics can be used for this ***,in this paper,we study the maximum entropy-based regularization method and develop a nonmonotone gradient method for solving the corresponding optimization *** numerical tests for both synthetic problem and practical problem are given to show the efficiency and feasibility of the proposed algorithm.