mlsanityData to 7 Oct 2026

Theory-Guided Machine Learning for Process Simulation of Advanced Composites

arXiv 2103.16010 ↗First posted 30 Mar 2021cs.LGcited by 3

Not on the map. Why?

Abstract (arXiv)

Science-based simulation tools such as Finite Element (FE) models are routinely used in scientific and engineering applications. While their success is strongly dependent on our understanding of underlying governing physical laws, they suffer inherent limitations including trade-off between fidelity/accuracy and speed. The recent rise of Machine Learning (ML) proposes a theory-agnostic paradigm. In complex multi-physics problems, however, creating large enough datasets for successful training of ML models has proven to be challenging. One promising strategy to bridge the divide between these approaches and take advantage of their respective strengths is Theory-Guided Machine Learning (TGML) which aims to integrate physical laws into ML algorithms. In this paper, three case studies on thermal management during processing of advanced composites are presented and studied using FE, ML and TGML. A structured approach to incrementally adding increasingly complex physics to training of TGML model is presented. The benefits of TGML over ML models are seen in more accurate predictions, particularly outside the training region, and ability to train with small datasets. One benefit of TGML over FE is significant speed improvement to potentially develop real-time feedback systems. A recent successful implementation of a TGML model to assess producibility of aerospace composite parts is presented.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 7 of its 59 references that are in the map. First posted on arXiv 30 Mar 2021.

Builds on

7 of 59 references.

References · 7

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2017DGM: A deep learning algorithm for solving partial differential equationscited by 674
  3. 2016TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systemscited by 660
  4. 2016Theory-guided Data Science: A New Paradigm for Scientific Discovery from Datacited by 169
  5. 2020A Physics-Informed Machine Learning Approach for Solving Heat Transfer Equation in Advanced Manufacturing and Engineering Applicationscited by 53
  6. 2016Machine Learning-augmented Predictive Modeling of Turbulent Separated Flows over Airfoilscited by 20
  7. 2019An Iterative Scientific Machine Learning Approach for Discovery of Theories Underlying Physical Phenomenacited by 2

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 2; 2022: 0; 2023: 0; 2024: 0; 2025: 0; 2026: 1.

3 papers.