“数理讲堂”2024年第42期-pg游戏试玩

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“数理讲堂”2024年第42期
发布日期:2024-11-25 13:53:14   发布人:数理与统计学院

主题:fast algorithms for fci excited states

时间:11月26日 13:00-14:30

地点:腾讯会议(会议号:794-932-223)

主持人:邵文婷 副教授

报告人简介:

李颖洲,复旦大学数学科学学院青年研究员。2012年于复旦大学取得学士学位,2017年于美国斯坦福大学取得计算数学博士学位,2017年至2020年在美国杜克大学数学系担任科研助理教授。设计核方法快速计算,分析cnn万有逼近,提出求解高频波方程的深度神经网络结构与学习算法;设计椭圆方程的算法,实现上万核集群高效并行;开发量子算法,在量子计算机上求解激发态问题。已在国际顶尖计算数学、应用学科杂志(acha, jctc, siopt, sisc, simax等等)发表论文40余篇。主持国家自然科学基金委面上项目、上海市基础研究特区交叉项目等。入选国家高层次海外青年人才计划、上海市高层次海外人才计划。

讲座简介:

an efficient excited state method, named xcdfci, in the configuration interaction framework, is proposed. xcdfci extends the unconstrained nonconvex optimization problem in cdfci to a multicolumn version, for low-lying excited states computation. the optimization problem is addressed via a tailored coordinate descent method. in each iteration, a determinant is selected based on an approximated gradient, and coefficients of all states associated with the selected determinant are updated. a deterministic compression is applied to limit memory usage. we test xcdfci applied to h2o and n2 molecules under the cc-pvdz basis set. for both systems, five low-lying excited states in the same symmetry sector are calculated together with the ground state. xcdfci also produces accurate binding curves of carbon dimer in the cc-pvdz basis with 10−2 mha accuracy, where the ground state and four excited states in the same symmetry sector are benchmarked.

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