亚博买球

张中强教授学术报告

发布时间: 2020年12月17日 作者: 王小捷   消息来源:     阅读次数: []

亚博买球baogaotimu: error estimates of residual minimization using neural networks for linear pdes

亚博买球baogaoren: professor zhongqiang zhang

亚博买球baogaoshijian: 2020nian12yue17ri 10:00—12:30

亚博买球baogaodidian: tengxunhuiyi 846821131

报告摘要: We propose an abstract framework for analyzing the convergence of least-squares methods based on residual minimization when feasible solutions are neural networks. With the norm relations and compactness arguments, we derive error estimates for both continuous and discrete formulations of residual minimization in strong and weak forms. The formulations cover recently developed physics-informed neural networks based on strong and variational formulations. This is a joint work with Yeonjong Shin and George Em Karniadakis at Brown University. The full text of our work can be found at亚博买球http://arxiv.org/abs/2010.08019

baogaorenjianjie: zhangzhongqiangjiaoshou, xianjiuzhiyuwusiteligongxueyuan(meiguo)shuxuekexuexi。2011nianshanghaidaxueshuxuexiqudejisuanshuxueboshi, shicongmahepingjiaoshou。 2014nian1yuehuodebulangdaxueyingyongshuxuexiboshixuewei,binghuodedavid gottlieb biyejiang。 2014nian7yueqirenjiaoyuwusiteligongxueyuanshuxuekexuexi。zhuyaoyanjiuxingqubaokuojiweifenfangchengshuzhijie,jisuangailvheyouhua,yijijiqixuexidejisuanlilundeng。zaigeleizhumingjisuanshuxueqikansinum, nm, sisc, jcpdengfabiaoduopianlunwen。yidiyizuozheyuprofessor george em karniadakiszhehezhunumerical methods for stochastic partial differential equations with white noise yishu。



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