Data-driven discovery of interpretable causal relations for deep learning material laws with uncertainty propagation
نویسندگان
چکیده
This paper presents a computational framework that generates ensemble predictive mechanics models with uncertainty quantification (UQ). We first develop causal discovery algorithm to infer relations among time-history data measured during each representative volume element (RVE) simulation through directed acyclic graph. With multiple plausible sets of relationships estimated from RVE simulations, the predictions are propagated in derived graph while using deep neural network equipped dropout layers as Bayesian approximation for UQ. select two numerical examples (traction-separation laws frictional interfaces, elastoplasticity granular assembles) examine accuracy and robustness proposed method common material law civil engineering applications.
منابع مشابه
Efficient Uncertainty Propagation for Reinforcement Learning with Limited Data
In a typical reinforcement learning (RL) setting details of the environment are not given explicitly but have to be estimated from observations. Most RL approaches only optimize the expected value. However, if the number of observations is limited considering expected values only can lead to false conclusions. Instead, it is crucial to also account for the estimator’s uncertainties. In this pap...
متن کاملInterpretable knowledge discovery from data with DC
We present DC* (Double Clustering with A*) as an information granulation method specifically suited for deriving interpretable knowledge from data. DC* is based on two main clustering stages: the first is devoted to compressing multi-dimensional data into few prototypes that grab the main relationships among data; the second is aimed at finding a proper fuzzy granulation of each input feature s...
متن کاملInterpNET: Neural Introspection for Interpretable Deep Learning
Humans are able to explain their reasoning. On the contrary, deep neural networks are not. This paper attempts to bridge this gap by introducing a new way to design interpretable neural networks for classification, inspired by physiological evidence of the human visual system’s inner-workings. This paper proposes a neural network design paradigm, termed InterpNET, which can be combined with any...
متن کاملLearning of causal relations
To learn about causal relations between variables just by observing samples from them, particular assumptions must be made about those variables’ distributions. This article gives a practical description of how such a learning task can be undertaken based on different possible assumptions. Two categories of assumptions lead to different methods, constraint-based and Bayesian learning, and in ea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Granular Matter
سال: 2021
ISSN: ['1434-5021', '1434-7636']
DOI: https://doi.org/10.1007/s10035-021-01137-y