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We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity, and we apply them to learn function approximations as well as to solve inverse problems based on partial differential…

Machine Learning · Computer Science 2021-06-02 Xuhui Meng , Hessam Babaee , George Em Karniadakis

Multifidelity models integrate data from multiple sources to produce a single approximator for the underlying process. Dense low-fidelity samples are used to reduce interpolation error, while sparse high-fidelity samples are used to…

Machine Learning · Statistics 2024-02-27 Viv Bone , Chris van der Heide , Kieran Mackle , Ingo H. J. Jahn , Peter M. Dower , Chris Manzie

Current autoencoder-based disentangled representation learning methods achieve disentanglement by penalizing the (aggregate) posterior to encourage statistical independence of the latent factors. This approach introduces a trade-off between…

Disentangled representation learning aims to capture the underlying explanatory factors of observed data, enabling a principled understanding of the data-generating process. Recent advances in generative modeling have introduced new…

Machine Learning · Computer Science 2026-05-12 Jinjin Chi , Taoping Liu , Mengtao Yin , Ximing Li , Yongcheng Jing , Jialie Shen , Leszek Rutkowski , Dacheng Tao

Multiple clustering has gathered significant attention in recent years due to its potential to reveal multiple hidden structures of the data from different perspectives. Most of multiple clustering methods first derive feature…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Jiawei Yao , Juhua Hu

Reinforcement learning provides a framework for learning to control which actions to take towards completing a task through trial-and-error. In many applications observing interactions is costly, necessitating sample-efficient learning. In…

Machine Learning · Statistics 2020-11-04 Charles Gadd , Markus Heinonen , Harri Lähdesmäki , Samuel Kaski

The advancements in disentangled representation learning significantly enhance the accuracy of counterfactual predictions by granting precise control over instrumental variables, confounders, and adjustable variables. An appealing method…

Machine Learning · Computer Science 2024-06-17 Xinshu Li , Mingming Gong , Lina Yao

For many novel applications, such as patient-specific computer-aided surgery, conventional solution techniques of the underlying nonlinear problems are usually computationally too expensive and are lacking information about how certain can…

Machine Learning · Computer Science 2022-07-18 Saurabh Deshpande , Jakub Lengiewicz , Stéphane P. A. Bordas

The study of complex systems is often based on computationally intensive, high-fidelity, simulations. To build confidence in the prediction accuracy of such simulations, the impact of uncertainties in model inputs on the quantities of…

Computational Physics · Physics 2018-01-19 Lluis Jofre , Gianluca Geraci , Hillary Fairbanks , Alireza Doostan , Gianluca Iaccarino

Federated learning is a decentralized and privacy-preserving technique that enables multiple clients to collaborate with a server to learn a global model without exposing their private data. However, the presence of statistical…

Machine Learning · Computer Science 2023-07-06 Shiyu Liu , Shaogao Lv , Dun Zeng , Zenglin Xu , Hui Wang , Yue Yu

Multi-fidelity modeling and learning are important in physical simulation-related applications. It can leverage both low-fidelity and high-fidelity examples for training so as to reduce the cost of data generation while still achieving good…

Machine Learning · Computer Science 2022-10-25 Shibo Li , Zheng Wang , Robert M. Kirby , Shandian Zhe

In system analysis and design optimization, multiple computational models are typically available to represent a given physical system. These models can be broadly classified as high-fidelity models, which provide highly accurate…

Machine Learning · Computer Science 2024-11-01 Ruda Zhang , Negin Alemazkoor

Learning precise surrogate models of complex computer simulations and physical machines often require long-lasting or expensive experiments. Furthermore, the modeled physical dependencies exhibit nonlinear and nonstationary behavior.…

Machine Learning · Computer Science 2023-03-20 Matthias Bitzer , Mona Meister , Christoph Zimmer

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

Federated Learning enables decentralized training by aggregating model updates across clients without sharing raw data, while Split Federated Learning further partitions the model between clients and a server to reduce computation and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Chamani Shiranthika , Hadi Hadizadeh , Parvaneh Saeedi

Active learning is a subfield of machine learning that focuses on improving the data collection efficiency of expensive-to-evaluate systems. Especially, active learning integrated surrogate modeling has shown remarkable performance in…

Machine Learning · Computer Science 2023-04-19 Cheolhei Lee , Kaiwen Wang , Jianguo Wu , Wenjun Cai , Xiaowei Yue

Many engineering applications rely on the evaluation of expensive, non-linear high-dimensional functions. In this paper, we propose the RONAALP algorithm (Reduced Order Nonlinear Approximation with Active Learning Procedure) to…

Fluid Dynamics · Physics 2023-11-20 Clément Scherding , Georgios Rigas , Denis Sipp , Peter J Schmid , Taraneh Sayadi

While multifidelity modeling provides a cost-effective way to conduct uncertainty quantification with computationally expensive models, much greater efficiency can be achieved by adaptively deciding the number of required high-fidelity (HF)…

Federated learning (FL) is a privacy-preserving machine learning paradigm that enables collaborative model training across multiple distributed clients without disclosing their raw data. Personalized federated learning (pFL) has gained…

Machine Learning · Computer Science 2025-08-28 Tiandi Ye , Wenyan Liu , Kai Yao , Lichun Li , Shangchao Su , Cen Chen , Xiang Li , Shan Yin , Ming Gao

Disentangled representation learning offers useful properties such as dimension reduction and interpretability, which are essential to modern deep learning approaches. Although deep learning techniques have been widely applied to…

Machine Learning · Computer Science 2022-04-11 Sichen Zhao , Wei Shao , Jeffrey Chan , Flora D. Salim
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