{"title":"Gaussian integration","authors":"W. Freeden, M. Gutting","doi":"10.1201/9781315195674-9","DOIUrl":"https://doi.org/10.1201/9781315195674-9","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122164620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-10-10DOI: 10.1201/9781315375199-20
H. Martz, C. Logan, D. Schneberk, Peter J. Shull
Table 1: Notations and their meanings Notation Meaning C = {C1, C2, . . . , Cp} Classification problem with p class labels, Ck; (1≤ k ≤ p and 2≤ p) I = {I1, I2, . . . , In} Testing instance, It; (1 ≤ t ≤ n) rt = 〈R t , R 2 t , . . . , R p t 〉 Ground truth one-hot vector for It D = {D1, D2, . . . , DT } Stream training dataset,Di; (1 ≤ i ≤ T )Di ⊆ Dj if i < j L = {L1, L2, . . . , LT } Trained learners of a model forD, Li; (1 ≤ i ≤ T ) Ŷ = {Ŷ1, Ŷ2, . . . , ŶT } Prediction for I by L, Ŷi; (1 ≤ i ≤ T ) ξ = {SL1, SL2, . . . , SLm} Ensemble ofm component single learners, SLj ; (1 ≤ j ≤ m and 2 ≤ m) ξ̃ = {S̃L1, S̃L2, . . . , S̃Lm} The copy of ξ, ensemble ofm component single learners, S̃Lj ; (1 ≤ j ≤ m and 2 ≤ m) stj = 〈S tj , S 2 tj , . . . , S p tj〉 Prediction vector for It by SLj ; ∑p k=1 S k tj = 1 s̃tj = 〈S̃ tj , S̃ 2 tj , . . . , S̃ p tj〉 Prediction vector for It by S̃Lj ; ∑p k=1 S̃ k tj = 1 ot = 〈O t , O 2 t , . . . , O p t 〉 Centroid-point vector for It by ξ,O k t ; (1 ≤ k ≤ p) õt = 〈Õ t , Õ 2 t , . . . , Õ p t 〉 Centroid-point vector for It by ξ̃, Õ k t ; (1 ≤ k ≤ p) w = 〈W1,W2, . . . ,Wm〉 Weight vector for ξ,Wj ; (1 ≤ j ≤ m) w̃ = 〈W̃1, W̃2, . . . , W̃m〉 Weight vector for ξ̃, W̃j ; (1 ≤ j ≤ m) ζ = f(w, ξ) Combination learner for ξ and w ζ̃ = f(w̃, ξ̃) Combination learner for ξ̃ and w̃
表1:符号及其含义符号含义C = {C1, C2,…p类标签的分类问题,Ck;(1≤k≤p, 2≤p) I = {I1, I2,…在}测试实例中,它;(1≤t≤n) rt = < rt, r2t,…D = {D1, D2,…流训练数据集,Di;(1≤i≤T) i≤j L = {L1, L2,…, LT}训练了一辆福特模型的学习者,Li;(1≤i≤T) Ŷ = {Ŷ1, Ŷ2,…L对I的预测,Ŷi;(1≤i≤T) ξ = {SL1, SL2,…m组件单学习器集成,SLj;(1≤j≤m, 2≤m) ξ ω = {S ω L1, S ω L2,…ξ的拷贝,m个分量单学习器的集合,S [Lj];(1≤j≤m, 2≤m) stj = < S tj, S 2tj,…, S p tj > SLj预测向量;∑p k=1 S k tj =1 S n n tj = < S n n tj, S n 2 tj,…, S / p tj > S / Lj对它的预测向量;∑p k=1 S k tj =1 t = < 0 t, 0 2 t,…,O p t >它的质心点向量通过ξ,O k t;(1≤k≤p) õt = < Õ t, Õ 2 t,…, Õ p t >它的质心点矢量通过ξ ω, Õ k t;(1≤k≤p) w = < W1,W2,…,Wm > ξ的权向量,Wj;(1≤j≤m) w ω = < w ω 1, w ω 2,…, W ^ m >权向量,W ^ j;(1≤j≤m) ζ = f(w, ξ)对于ξ和w ζ = f(w, ξ)对于ξ和w的组合学习器
{"title":"List of notations","authors":"H. Martz, C. Logan, D. Schneberk, Peter J. Shull","doi":"10.1201/9781315375199-20","DOIUrl":"https://doi.org/10.1201/9781315375199-20","url":null,"abstract":"Table 1: Notations and their meanings Notation Meaning C = {C1, C2, . . . , Cp} Classification problem with p class labels, Ck; (1≤ k ≤ p and 2≤ p) I = {I1, I2, . . . , In} Testing instance, It; (1 ≤ t ≤ n) rt = 〈R t , R 2 t , . . . , R p t 〉 Ground truth one-hot vector for It D = {D1, D2, . . . , DT } Stream training dataset,Di; (1 ≤ i ≤ T )Di ⊆ Dj if i < j L = {L1, L2, . . . , LT } Trained learners of a model forD, Li; (1 ≤ i ≤ T ) Ŷ = {Ŷ1, Ŷ2, . . . , ŶT } Prediction for I by L, Ŷi; (1 ≤ i ≤ T ) ξ = {SL1, SL2, . . . , SLm} Ensemble ofm component single learners, SLj ; (1 ≤ j ≤ m and 2 ≤ m) ξ̃ = {S̃L1, S̃L2, . . . , S̃Lm} The copy of ξ, ensemble ofm component single learners, S̃Lj ; (1 ≤ j ≤ m and 2 ≤ m) stj = 〈S tj , S 2 tj , . . . , S p tj〉 Prediction vector for It by SLj ; ∑p k=1 S k tj = 1 s̃tj = 〈S̃ tj , S̃ 2 tj , . . . , S̃ p tj〉 Prediction vector for It by S̃Lj ; ∑p k=1 S̃ k tj = 1 ot = 〈O t , O 2 t , . . . , O p t 〉 Centroid-point vector for It by ξ,O k t ; (1 ≤ k ≤ p) õt = 〈Õ t , Õ 2 t , . . . , Õ p t 〉 Centroid-point vector for It by ξ̃, Õ k t ; (1 ≤ k ≤ p) w = 〈W1,W2, . . . ,Wm〉 Weight vector for ξ,Wj ; (1 ≤ j ≤ m) w̃ = 〈W̃1, W̃2, . . . , W̃m〉 Weight vector for ξ̃, W̃j ; (1 ≤ j ≤ m) ζ = f(w, ξ) Combination learner for ξ and w ζ̃ = f(w̃, ξ̃) Combination learner for ξ̃ and w̃","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121146114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.09979-x
{"title":"Index","authors":"","doi":"10.1016/b978-0-12-816899-8.09979-x","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.09979-x","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126870414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.09986-7
{"title":"User subroutine for FRP under cyclic load","authors":"","doi":"10.1016/b978-0-12-816899-8.09986-7","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.09986-7","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115004744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.09992-2
{"title":"Temperature-dependent material properties of steel","authors":"","doi":"10.1016/b978-0-12-816899-8.09992-2","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.09992-2","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133251742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.00004-3
Xiaoshan Lin, Y. Zhang, Prabin Pathak
{"title":"Finite element analysis of reinforced concrete beams","authors":"Xiaoshan Lin, Y. Zhang, Prabin Pathak","doi":"10.1016/b978-0-12-816899-8.00004-3","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.00004-3","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131885605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.00003-1
Xiaoshan Lin, Y. Zhang, Prabin Pathak
{"title":"Finite element analysis of composite beams","authors":"Xiaoshan Lin, Y. Zhang, Prabin Pathak","doi":"10.1016/b978-0-12-816899-8.00003-1","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.00003-1","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132130418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.09984-3
{"title":"Finite element code for composite beam element: Nonlinear analysis with temperature effect","authors":"","doi":"10.1016/b978-0-12-816899-8.09984-3","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.09984-3","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"209 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132706490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.09987-9
{"title":"User subroutine for steel under cyclic load","authors":"","doi":"10.1016/b978-0-12-816899-8.09987-9","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.09987-9","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117329917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/b978-0-12-816899-8.09993-4
{"title":"Temperature-dependent material properties of concrete","authors":"","doi":"10.1016/b978-0-12-816899-8.09993-4","DOIUrl":"https://doi.org/10.1016/b978-0-12-816899-8.09993-4","url":null,"abstract":"","PeriodicalId":173352,"journal":{"name":"Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128234849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}