Physics-informed feature-to-feature learning for design-space dimensionality reduction in shape optimisation

Shahroz Khan, Andrea Serani, Matteo Diez, Panagiotis Kaklis

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

11 Citations (Scopus)
7 Downloads (Pure)


High-dimensional parametric design problems cause optimisers and physics simulations to suffer from the curse-of-dimensionality, resulting in high computational cost. In this work, to release this computational burden, we adopted a two-step feature-to-feature learning methodology to discover a lower-dimensional latent space, based on the combination of geometry- and physics-informed principal component analysis and the active subspace method. At the first step, statistical dependencies implicit in the design parameters encode important geometric features of the underline shape. During the second step, functional features of designs are extracted in term of previously learned geometric features. Afterwards, both geometric and functional features are augmented together to create a functionally-active subspace, whose basis not only captures the geometric variance of designs but also induces the variability in the designs’ physics. As the new subspace accumulates both the functional and geometric variance, therefore, it can be exploited for efficient design exploration and the construction of improved surrogate models for designs’ physics prediction. The validation and experimental studies presented in this work show the beneficial effects of the current approach in comparison to a conventional single-step feature learning.
Original languageEnglish
Title of host publicationAIAA Scitech 2021 Forum
Place of PublicationReston, VA.
Number of pages25
Publication statusPublished - 4 Jan 2021
EventAIAA Scitech 2021 Forum -
Duration: 11 May 2021 → …


ConferenceAIAA Scitech 2021 Forum
Period11/05/21 → …
Internet address


  • principal component analysis (PCA)
  • active subspace method
  • ship design
  • machine learning
  • shape optimization
  • hull design
  • wave resistance


Dive into the research topics of 'Physics-informed feature-to-feature learning for design-space dimensionality reduction in shape optimisation'. Together they form a unique fingerprint.

Cite this