Understanding and using DNN-based algorithm in solving PDE

        發布者:文明辦作者:發布時間:2020-12-22瀏覽次數:10


        主講人:許志欽  上海交通大學副教授


        時間:2020年12月22日15:00


        地點:3號樓301


        舉辦單位:數理學院


        內容介紹:We demonstrate a very universal Frequency Principle (F-Principle) --- DNNs often  fit target functions from low to high frequencies --- on high-dimensional  benchmark datasets and deep neural networks. We use F-Principle to understand  the difference of DNN with traditional methods. We then propose novel  multi-scale DNNs (MscaleDNN) using the idea of radial scaling in frequency  domain and activation functions with compact support. The radial scaling  converts the problem of approximation of high frequency content of the PDEs  solution to one of lower frequency, and the compact support activation functions  facilitate the separation of scales to be approximated by corresponding DNNs. As  a result, the MscaleDNNs achieve fast uniform convergence over multiple scales.  The proposed MscaleDNNs are shown to be superior to traditional fully connected  DNNs and can be used as an effective mesh-less numerical method for elliptic  PDEs.

        上海福彩网 www.nordea-im.com:东阿县| www.zhongyunhe.com:葫芦岛市| www.f8772.com:出国| www.cnfzsb.com:山东省| www.xipica.com:巫山县| www.bangdays.com:驻马店市| www.bisutekirevere.com:封丘县| www.rwxnw.cn:宾阳县| www.mdprowash.com:定日县| www.jpi-py.com:密云县| www.baixiaojiecaitu88.com:买车| www.chiemlamdep.com:蓬安县| www.218101.com:沙洋县| www.onlinefloraldesign.org:泉州市| www.noseutube.com:饶阳县| www.freebie-host.com:无棣县| www.david-bird.com:萨嘎县| www.jhtmnc.com:班戈县| www.celebedia.com:仪征市| www.azzurroscipioni.com:额敏县| www.xggtw.cn:澎湖县| www.rubinsteintaybi.org:鱼台县| www.hbstzt.com:天等县| www.seafishingtackle.net:中宁县| www.conceptmagicevents.com:交城县| www.nexlinkz.com:荣成市| www.killdevilhillbrooklyn.com:鹤峰县| www.p5539.com:屏南县| www.gwmak.com:府谷县| www.abbottslandscape.com:碌曲县| www.chriscota.com:日照市| www.m3ji.com:大城县| www.jd2002.net:临海市| www.findnewyorkmuseums.com:隆尧县| www.zjlcbj.com:辰溪县| www.kingandqueenspapa.com:临澧县| www.inside-economics.com:抚宁县| www.testsite02.com:额济纳旗| www.shuidajie.com:卢氏县| www.mmbhd.com:堆龙德庆县| www.aroyalhangover.com:鹿泉市| www.edongphoto.com:民和| www.24drugstore.net:广安市| www.reelgeeksguide.com:龙陵县| www.463507.com:连平县| www.carousel-ride.com:米易县| www.ybcxjt.com:易门县| www.outaohui.com:晋江市| www.websaran.com:尉犁县| www.ahycny.com:纳雍县| www.zl1234.com:荆门市| www.jinda109.com:松原市| www.baochimc.com:大庆市| www.hnhuidasw.com:百色市| www.ylsqsly.com:香港| www.elegooo.com:平武县| www.hust-hy.com:张家口市| www.66356tt.com:上高县| www.baidubocai.com:皮山县| www.hongshunpuyi.com:卓资县| www.sengnie.com:白城市| www.jackshomeservices.com:云阳县| www.toygrc.com:随州市| www.abbyfoods.com:高要市| www.mwxnh.cn:马山县| www.tgtxw.com:长葛市| www.advancedperformers.com:四川省| www.insect-museum.com:饶平县| www.fionarr.com:德惠市| www.s6lt.com:囊谦县| www.eschervictoria.com:名山县| www.kyouhu.com:屯门区| www.oldgrandmatube.com:澎湖县| www.parcfrankston.com:大关县| www.szjlufe.org:龙口市| www.mai0565.com:南岸区| www.ds1980.com:公主岭市| www.hireandrental.com:县级市| www.addx-technologies.com:平武县| www.karakitap.com:施秉县| www.bajulu.com:合水县| www.xingfu52.com:营口市| www.piranhacrunch.com:东乡县| www.zrvzsv.com:庄河市|