應(yīng)yl7703永利官網(wǎng)鄧偉華教授的邀請,華中科技大學(xué)yl7703永利官網(wǎng)明炬教授于近期訪問我校,期間將作學(xué)術(shù)報告。
報告題目:Multilevel Monte Carlo Method for A Stochastic Optimal Control Problem
時 間:2017年12月6日 9: 00
地 點(diǎn):齊云樓911室
報告摘要:In this lecture, we consider the implementation of multi-level Monte Carlo method to a stochastic optimal control problem with log-normal coefficients and its surrogate model problem. From the perspective of two optimization problems, i.e., minimizing the accuracy using a fixed computational cost and minimizing the total computational cost to attain a given accuracy, we derive formulas to determine the optimal sample sizes for each level of multi-level Monte Carlo method. Furthermore, we put forward the multi-level Monte Carlo algorithm for our stochastic optimal control problem and some tricks to deal with the multi-level log-normal coefficients. Finally, we present the numerical results of both the elliptic SPDEs and our control problem to validate the effectiveness over the traditional Monto Carlo method.
個人簡介
明炬,2009年在美國愛荷華州立大學(xué)獲博士學(xué)位;2009到2012在佛羅里達(dá)州立大學(xué)從事科學(xué)計(jì)算的博士后研究工作;2013-2017年,在北京計(jì)算科學(xué)研究中心(CSRC)擔(dān)任助理教授,而后轉(zhuǎn)到華中科技大學(xué)擔(dān)任教授;2017年入選武漢市優(yōu)秀青年創(chuàng)新創(chuàng)業(yè)人才。他的研究課題主要集中在不確定性量化、最優(yōu)化、隨機(jī)偏微分方程等。
應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點(diǎn)實(shí)驗(yàn)室
yl7703永利官網(wǎng)
萃英學(xué)院
二〇一七年十二月六日