Refine abstract wording for clarity and adjust figure width in methodology flow chart

parent fa5b6d99
output,best_model,cv_rmse,std_rmse,cv_rmse_dispersion,cv_mae,cv_r2,BEST_PARAMS,model_path,train_time_sec,gpr_kernel,selected_by output,best_model,cv_rmse,std_rmse,cv_rmse_dispersion,cv_mae,cv_r2,BEST_PARAMS,model_path,train_time_sec,gpr_kernel,selected_by
exymax_tw3,SVR,0.007202212127447048,0.004481301562810276,0.6222118265209654,0.007202212127447048,,"{""svr__C"": 1117.125712746634, ""svr__epsilon"": 0.0006465958496706061, ""svr__gamma"": 0.004670356278081838}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_exymax_tw3.joblib,889.41,,lowest_cv_rmse_dispersion_within_5pct_rmse_band exymax_tw3,GradientBoosting,0.0068603803201981095,0.004414078348347289,0.6434159831272768,0.0068603803201981095,,"{""learning_rate"": 0.06837225459225127, ""max_depth"": 1, ""max_features"": 1.0, ""n_estimators"": 665, ""subsample"": 0.7432434647174244}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_exymax_tw3.joblib,628.78,,lowest_cv_rmse_dispersion_within_5pct_rmse_band
exymax_tw1,GradientBoosting,0.007300943573175188,0.007955575607590385,1.089664031484974,0.007300943573175188,,"{""learning_rate"": 0.016754195403105226, ""max_depth"": 3, ""max_features"": 0.6676595772974903, ""n_estimators"": 1169, ""subsample"": 0.7322018725625201}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_exymax_tw1.joblib,425.58,,lowest_cv_rmse_dispersion_within_5pct_rmse_band exymax_tw1,GradientBoosting,0.007508034631569018,0.007904693272151635,1.0528312214910127,0.007508034631569018,,"{""learning_rate"": 0.013992700494766131, ""max_depth"": 1, ""max_features"": 0.7284173699827374, ""n_estimators"": 653, ""subsample"": 0.7783052950286513}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_exymax_tw1.joblib,601.34,,lowest_cv_rmse_dispersion_within_5pct_rmse_band
exymax_tw2,SVR,0.008460412231077893,0.011444731445050746,1.3527392203196034,0.008460412231077893,,"{""svr__C"": 9808.35589449746, ""svr__epsilon"": 0.00016322664292135178, ""svr__gamma"": 0.00038258041488189597}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_exymax_tw2.joblib,382.41,,lowest_cv_rmse_dispersion_within_5pct_rmse_band exymax_tw2,SVR,0.009186565415790389,0.012037200008128898,1.3103047181745069,0.009186565415790389,,"{""svr__C"": 7657.665720689394, ""svr__epsilon"": 0.0001005489514731489, ""svr__gamma"": 0.002834946185340044}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_exymax_tw2.joblib,458.08,,lowest_cv_rmse_dispersion_within_5pct_rmse_band
tfmmax_frame,SVR,1.7183858166563564,1.8940457119290446,1.1022237809285973,1.7183858166563564,,"{""svr__C"": 2338.7077018101695, ""svr__epsilon"": 0.0015121721150378067, ""svr__gamma"": 0.08059242367780602}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_frame.joblib,334.62,,lowest_cv_rmse_dispersion_within_5pct_rmse_band tfmmax_frame,SVR,1.7177103097723787,1.8549725916653637,1.0799100297134354,1.7177103097723787,,"{""svr__C"": 6533.142258976154, ""svr__epsilon"": 0.0001, ""svr__gamma"": 0.08195502077068523}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_frame.joblib,811.06,,lowest_cv_rmse_dispersion_within_5pct_rmse_band
tfmmax_tw2,SVR,6.570230475951083,8.231729016702195,1.252882839777489,6.570230475951083,,"{""svr__C"": 9598.629415551462, ""svr__epsilon"": 0.008177764525277858, ""svr__gamma"": 0.06450806413377351}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_tw2.joblib,497.18,,lowest_cv_rmse_dispersion_within_5pct_rmse_band tfmmax_tw3,SVR,5.810063419475952,6.282300755421094,1.0812792050362396,5.810063419475952,,"{""svr__C"": 10000.0, ""svr__epsilon"": 0.0001, ""svr__gamma"": 0.031517031726350814}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_tw3.joblib,990.88,,lowest_cv_rmse_dispersion_within_5pct_rmse_band
tfmmax_tw3,SVR,6.867884256625402,7.773194090294852,1.131817864110931,6.867884256625402,,"{""svr__C"": 4770.813296275575, ""svr__epsilon"": 0.0156951512570451, ""svr__gamma"": 0.04171961411779374}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_tw3.joblib,505.18,,lowest_cv_rmse_dispersion_within_5pct_rmse_band tfmmax_tw2,SVR,6.5390910243938345,8.13574592251621,1.2441707711616359,6.5390910243938345,,"{""svr__C"": 10000.0, ""svr__epsilon"": 0.0001, ""svr__gamma"": 0.0616129434310082}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_tw2.joblib,1227.82,,lowest_cv_rmse_dispersion_within_5pct_rmse_band
tfmmax_tw1,GaussianProcess,12.729753975937573,16.8283131798545,1.3219668826015203,12.729753975937573,,"{""gpr__amplitude"": 42.64486576023699, ""gpr__kernel_type"": ""Matern32"", ""gpr__length_scale"": 1.5803508571081364, ""gpr__n_restarts_optimizer"": 10, ""gpr__noise"": 2.537051332183834e-05, ""gpr__rq_alpha"": 0.01469218297101831}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_tw1.joblib,872.27,"1.98**2 * Matern(length_scale=4.65, nu=1.5) + WhiteKernel(noise_level=2.91e-12)",lowest_cv_rmse_dispersion_within_5pct_rmse_band tfmmax_tw1,GaussianProcess,12.729995556678173,16.82853875079846,1.3219595149010235,12.729995556678173,,"{""gpr__amplitude"": 34.811393285568194, ""gpr__kernel_type"": ""Matern32"", ""gpr__length_scale"": 1.7360857163205443, ""gpr__n_restarts_optimizer"": 7, ""gpr__noise"": 6.149981313878758e-06, ""gpr__rq_alpha"": 0.32262023280202834}",../../models/width_optimization/3W/ml_models/per_output_models_B34_H45/it0/best_model_tfmmax_tw1.joblib,546.88,"1.98**2 * Matern(length_scale=4.65, nu=1.5) + WhiteKernel(noise_level=6.15e-06)",lowest_cv_rmse_dispersion_within_5pct_rmse_band
...@@ -4,14 +4,14 @@ Configuration_B,34.0 ...@@ -4,14 +4,14 @@ Configuration_B,34.0
Configuration_H,45.0 Configuration_H,45.0
Configuration_TFD_W,90.0 Configuration_TFD_W,90.0
Iteration,0.0 Iteration,0.0
tw1_optimal,7.333816578195384 tw1_optimal,7.335514425108832
tw2_optimal,9.279818580001832 tw2_optimal,9.275405365097614
tw3_optimal,10.121143978945401 tw3_optimal,10.131483041829242
Objective_score,-1.0932680460256248e-06 Objective_score,-1.164917859388524e-06
Exy_tw1,0.030541286356165126 Exy_tw1,0.03216894707627307
Exy_tw2,0.038966386800767694 Exy_tw2,0.037084433954330365
Exy_tw3,0.04736176051237062 Exy_tw3,0.0509747966289918
TFM_tw1,90.00000000888014 TFM_tw1,90.0000000652608
TFM_tw2,90.0000000363739 TFM_tw2,90.00000014055266
TFM_tw3,90.00000004969976 TFM_tw3,90.00000000857099
TFM_frame,71.65152648580627 TFM_frame,71.57483700216243
...@@ -4,20 +4,20 @@ Configuration_B,34.0 ...@@ -4,20 +4,20 @@ Configuration_B,34.0
Configuration_H,60.0 Configuration_H,60.0
Configuration_TFD_W,90.0 Configuration_TFD_W,90.0
Iteration,0.0 Iteration,0.0
tw1_optimal,5.694179976812822 tw1_optimal,5.968722571013082
tw2_optimal,7.254866605325219 tw2_optimal,7.378597212571523
tw3_optimal,8.140135383492023 tw3_optimal,8.561353982349441
tw4_optimal,6.653343430447909 tw4_optimal,6.7035670059260966
tw5_optimal,5.0 tw5_optimal,5.0
Objective_score,17.106344387688598 Objective_score,10.582751997380363
Exy_tw1,0.06127584151539267 Exy_tw1,0.05963421438042871
Exy_tw2,0.05514946520902724 Exy_tw2,0.052582168193077816
Exy_tw3,0.06789993494749069 Exy_tw3,0.06459011210098246
Exy_tw4,0.06857663218038944 Exy_tw4,0.06971287318400625
Exy_tw5,0.053409088461247346 Exy_tw5,0.05512272509539415
TFM_tw1,90.00000005473717 TFM_tw1,90.00000292077007
TFM_tw2,90.00000072572061 TFM_tw2,90.00000008463275
TFM_tw3,90.0000006322008 TFM_tw3,90.000008866776
TFM_tw4,90.00031542767577 TFM_tw4,90.00000753883465
TFM_tw5,72.89365290337983 TFM_tw5,79.41724526649921
TFM_frame,73.03210418991345 TFM_frame,74.65262096197034
...@@ -45,7 +45,7 @@ ...@@ -45,7 +45,7 @@
\corres{J. Irazábal. \email{jirazabal@cimne.upc.edu}} \corres{J. Irazábal. \email{jirazabal@cimne.upc.edu}}
\abstract[Abstract]{Buckling-delayed shear-link (BDSL) dampers are extensively used in seismic-resistant structures as passive devices that concentrate energy dissipation while limiting damage to the primary system. Their geometric optimization requires a compromise between high energy dissipation and control of local damage. Finite element method (FEM) models can reproduce with high accuracy the nonlinear cyclic response of these devices and provide internal quantities such as damage indicators and local distortion but their computational cost prevents their direct use inside iterative optimization loops. This work proposes an adaptive surrogate-assisted optimization framework for BDSL dampers. First, experimentally calibrated nonlinear FEM models are used to generate ground-truth datasets for damper configurations with different numbers of windows and geometric proportions. Supervised learning models are first evaluated, where Support Vector Regression (SVR) and Gaussian Process Regression (GPR)—both based on radial kernel functions—consistently provide the highest predictive accuracy. Motivated by this observation, Radial Basis Function (RBF) surrogates are subsequently introduced as a computationally efficient alternative. The surrogate predictions are coupled with a Differential Evolution algorithm through a damage-aware objective function that limits the damage and uses dissipated energy as a tie-breaking performance criterion. In addition, SHapley Additive exPlanations (SHAP) are employed to quantify the influence of window thickness on damage distribution, with particular emphasis on the response of the surrounding frame. Optimized geometries are finally re-evaluated with FEM. When the surrogate error exceeds the adopted tolerances, the new FEM result is added to the dataset and the surrogate models are retrained. The proposed framework provides a scalable route for an efficient damage-aware optimization of seismic energy dissipation devices.} \abstract[Abstract]{Buckling-delayed shear-link (BDSL) dampers are used in seismic-resistant structures as passive devices that concentrate energy dissipation while limiting damage to the primary system. Their geometric optimization requires a compromise between high energy dissipation and control of local damage. Finite element method (FEM) models can reproduce with high accuracy the nonlinear cyclic response of these devices and provide internal quantities such as damage indicators and local distortion but their computational cost prevents their direct use inside iterative optimization loops. This work proposes an adaptive surrogate-assisted optimization framework for BDSL dampers. First, experimentally calibrated nonlinear FEM models are used to generate ground-truth datasets for damper configurations with different numbers of windows and geometric proportions. Supervised learning models are first evaluated, where Support Vector Regression (SVR) and Gaussian Process Regression (GPR)—both based on radial kernel functions—consistently provide the highest predictive accuracy. Motivated by this observation, Radial Basis Function (RBF) surrogates are subsequently introduced as a computationally efficient alternative. The surrogate predictions are coupled with a Differential Evolution algorithm through a damage-aware objective function that limits the damage and uses dissipated energy as a tie-breaking performance criterion. In addition, SHapley Additive exPlanations (SHAP) are employed to quantify the influence of window thickness on damage distribution, with particular emphasis on the response of the surrounding frame. Optimized geometries are finally re-evaluated with FEM. When the surrogate error exceeds the adopted tolerances, the new FEM result is added to the dataset and the surrogate models are retrained. The proposed framework provides a scalable route for an efficient damage-aware optimization of seismic energy dissipation devices.}
\keywords{Buckling-delayed shear link, seismic energy dissipation, surrogate modelling, machine learning, radial basis functions, Differential Evolution, FEM validation, TFDMap} \keywords{Buckling-delayed shear link, seismic energy dissipation, surrogate modelling, machine learning, radial basis functions, Differential Evolution, FEM validation, TFDMap}
...@@ -87,7 +87,7 @@ Figure \ref{fig:MethodologyFlowChart} summarizes the proposed workflow. The diff ...@@ -87,7 +87,7 @@ Figure \ref{fig:MethodologyFlowChart} summarizes the proposed workflow. The diff
\begin{figure}[!ht] \begin{figure}[!ht]
\centering \centering
\includegraphics[width=0.6\textwidth]{./Figures/MethodologyFlowChart.png} \includegraphics[width=0.75\textwidth]{./Figures/MethodologyFlowChart.png}
\caption{Flow chart of the proposed adaptive surrogate-assisted optimization framework.} \caption{Flow chart of the proposed adaptive surrogate-assisted optimization framework.}
\label{fig:MethodologyFlowChart} \label{fig:MethodologyFlowChart}
\end{figure} \end{figure}
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