source model
Transfer Learning in Bayesian Optimization for Aircraft Design
Tfaily, Ali, Diouane, Youssef, Bartoli, Nathalie, Kokkolaras, Michael
The use of transfer learning within Bayesian optimization addresses the disadvantages of the so-called \textit{cold start} problem by using source data to aid in the optimization of a target problem. We present a method that leverages an ensemble of surrogate models using transfer learning and integrates it in a constrained Bayesian optimization framework. We identify challenges particular to aircraft design optimization related to heterogeneous design variables and constraints. We propose the use of a partial-least-squares dimension reduction algorithm to address design space heterogeneity, and a \textit{meta} data surrogate selection method to address constraint heterogeneity. Numerical benchmark problems and an aircraft conceptual design optimization problem are used to demonstrate the proposed methods. Results show significant improvement in convergence in early optimization iterations compared to standard Bayesian optimization, with improved prediction accuracy for both objective and constraint surrogate models.
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A.1 ConjugateDerivations Cross-EntropyLoss: L(h,y) = cX
Thelossesarecompared onthreedegreesofshift(easy,moderate and hard), which is controlled by the drifted distance of Gaussian clusters. Herewediscuss the architecture chosen and the implementation details. Note that the task loss / surrogate loss function is used to update the meta-loss mϕ during meta-learning. The number of transformer layers and the hidden layers in MLP are selected from{1,2}. Wecanseethatthetask loss barely affects the learnt meta loss.
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ModelLEGO: CreatingModelsLike DisassemblingandAssemblingBuildingBlocks
Convolutional Neural Networks (CNNs), as the predominant architecture in deep learning, play a crucial role in image, video, and audio processing [1, 2, 3]. CNNs were originally inspired by the concept of receptive fields in the biological visual system [4], and our focus is to explore and leverage similar characteristics within CNNs.
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