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Related papers: A Neural-Operator Surrogate for Platelet Deformati…

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Deep Operator Network (DeepONet), a recently introduced deep learning operator network, approximates linear and nonlinear solution operators by taking parametric functions (infinite-dimensional objects) as inputs and mapping them to…

Computational Engineering, Finance, and Science · Computer Science 2023-10-12 Junyan He , Shashank Kushwaha , Jaewan Park , Seid Koric , Diab Abueidda , Iwona Jasiuk

The existence of a plethora of language models makes the problem of selecting the best one for a custom task challenging. Most state-of-the-art methods leverage transformer-based models (e.g., BERT) or their variants. Training such models…

Machine Learning · Computer Science 2022-05-25 Shikhar Tuli , Bhishma Dedhia , Shreshth Tuli , Niraj K. Jha

To date, the simulation of organ deformations for applications like therapy planning or image-guided interventions is calculated by solving the elastodynamics equations. While efficient solvers have been proposed for fast simulations,…

Quantitative Methods · Quantitative Biology 2018-12-18 Felix Meister , Tiziano Passerini , Viorel Mihalef , Ahmet Tuysuzoglu , Andreas Maier , Tommaso Mansi

This paper presents a novel neural network architecture for the purpose of pervasive visualisation of a 3D human upper limb musculoskeletal system model. Bringing simulation capabilities to resource-poor systems like mobile devices is of…

Tissues and Organs · Quantitative Biology 2026-05-26 David Rosin , Johannes Kässinger , Xingyao Yu , Okan Avci , Christian Bleiler , Oliver Röhrle

Predicting stress fields in hyperelastic materials with complex microstructures remains challenging for traditional deep learning surrogates, which struggle to capture both sharp stress concentrations and the wide dynamic range of stress…

Machine Learning · Statistics 2026-03-20 Purna Vindhya Kota , Meer Mehran Rashid , Somdatta Goswami , Lori Graham-Brady

Neural networks can be used as surrogates for PDE models. They can be made physics-aware by penalizing underlying equations or the conservation of physical properties in the loss function during training. Current approaches allow to…

Machine Learning · Computer Science 2022-07-01 Raphael Leiteritz , Patrick Buchfink , Bernard Haasdonk , Dirk Pflüger

When a blood vessel ruptures or gets inflamed, the human body responds by rapidly forming a clot to restrict the loss of blood. Platelets aggregation at the injury site of the blood vessel occurring via platelet-platelet adhesion, tethering…

Tissues and Organs · Quantitative Biology 2015-06-18 Ziheng Wu , Zhiliang Xu , Oleg Kim , Mark Alber

A multi-fidelity surrogate model for highly nonlinear multiscale problems is proposed. It is based on the introduction of two different surrogate models and an adaptive on-the-fly switching. The two concurrent surrogates are built…

Computational Physics · Physics 2019-05-03 Felix Fritzen , Mauricio Fernández , Fredrik Larsson

Data assimilation presents computational challenges because many high-fidelity models must be simulated. Various deep-learning-based surrogate modeling techniques have been developed to reduce the simulation costs associated with these…

Machine Learning · Computer Science 2022-12-28 Su Jiang , Louis J. Durlofsky

The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class that involves delays on both the state and the system output…

Optimization and Control · Mathematics 2024-06-17 Jie Qi , Jing Zhang , Miroslav Krstic

Scientific applications increasingly demand real-time surrogate models that can capture the behavior of strongly coupled multiphysics systems driven by multiple input functions, such as in thermo-mechanical and electro-thermal processes.…

Machine Learning · Computer Science 2025-07-08 Kazuma Kobayashi , Jaewan Park , Qibang Liu , Seid Koric , Diab Abueidda , Syed Bahauddin Alam

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

Simulating and predicting multiscale problems that couple multiple physics and dynamics across many orders of spatiotemporal scales is a great challenge that has not been investigated systematically by deep neural networks (DNNs). Herein,…

Computational Physics · Physics 2021-03-31 Chensen Lin , Zhen Li , Lu Lu , Shengze Cai , Martin Maxey , George Em Karniadakis

The Cellular-Potts model is a powerful and ubiquitous framework for developing computational models for simulating complex multicellular biological systems. Cellular-Potts models (CPMs) are often computationally expensive due to the…

Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials. Hence, fast and generalizable surrogate models are needed to alleviate the cost…

Materials Science · Physics 2022-07-01 Vivek Oommen , Khemraj Shukla , Somdatta Goswami , Remi Dingreville , George Em Karniadakis

There is renewed interest in developing small modular reactors and micro-reactors. Innovation is necessary in both construction and operation methods of these reactors to be financially attractive. For operation, an area of interest is the…

Computational Physics · Physics 2020-07-14 Akshay J. Dave , Jarod Wilson , Kaichao Sun

In this paper, we present a surrogate-based multiscale approach to model constant strain-rate and creep experiments on unidirectional thermoplastic composites under off-axis loading. In previous contributions, these experiments were modeled…

Numerical Analysis · Mathematics 2025-01-20 M. A. Maia , I. B. C. M. Rocha , D. Kovačević , F. P. van der Meer

Operator learning has the potential to strongly impact scientific computing by learning solution operators for differential equations, potentially accelerating multi-query tasks such as design optimization and uncertainty quantification by…

Machine Learning · Computer Science 2026-02-26 Alexander Heinlein , Johannes Taraz

Accurate compensation of brain shift is critical for maintaining the reliability of neuronavigation during neurosurgery. While keypoint-based registration methods offer robustness to large deformations and topological changes, they…

Image and Video Processing · Electrical Eng. & Systems 2026-02-05 Tiago Assis , Ines P. Machado , Benjamin Zwick , Nuno C. Garcia , Reuben Dorent

Surrogate modeling has emerged as a powerful tool to accelerate Computational Fluid Dynamics (CFD) simulations. Existing 3D geometric learning models based on point clouds, voxels, meshes, or graphs depend on explicit geometric…

Fluid Dynamics · Physics 2025-05-26 Qian Chen , Mohamed Elrefaie , Angela Dai , Faez Ahmed