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A neural network architecture is presented that exploits the multilevel properties of high-dimensional parameter-dependent partial differential equations, enabling an efficient approximation of parameter-to-solution maps, rivaling…

Machine Learning · Computer Science 2024-08-21 Janina Enrica Schütte , Martin Eigel

The Physics-Constrained DeepONet (PC-DeepONet), an architecture that incorporates fundamental physics knowledge into the data-driven DeepONet model, is presented in this study. This methodology is exemplified through surrogate modeling of…

Several Tensor Basis Neural Network (TBNN) frameworks aimed at enhancing turbulence RANS modeling have recently been proposed in the literature as data-driven constitutive models for systems with known invariance properties. However,…

In this paper we propose a new methodology for decision-making under uncertainty using recent advancements in the areas of nonlinear stochastic optimal control theory, applied mathematics, and machine learning. Grounded on the fundamental…

Robotics · Computer Science 2021-07-12 Marcus Pereira , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

Learning-based simulators show great potential for simulating particle dynamics when 3D groundtruth is available, but per-particle correspondences are not always accessible. The development of neural rendering presents a new solution to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Jiaxu Wang , Jingkai Sun , Junhao He , Ziyi Zhang , Qiang Zhang , Mingyuan Sun , Renjing Xu

Stochastic Petri Nets (SPNs) are an increasingly popular tool of choice for modeling discrete-event dynamics in areas such as epidemiology and systems biology, yet their parameter estimation remains challenging in general and in particular…

Machine Learning · Computer Science 2025-12-09 Bright Kwaku Manu , Trevor Reckell , Beckett Sterner , Petar Jevtic

Humans demonstrate remarkable abilities to predict physical events in complex scenes. Two classes of models for physical scene understanding have recently been proposed: "Intuitive Physics Engines", or IPEs, which posit that people make…

Artificial Intelligence · Computer Science 2016-10-05 Renqiao Zhang , Jiajun Wu , Chengkai Zhang , William T. Freeman , Joshua B. Tenenbaum

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

Predicting the structure of multi-protein complexes is a grand challenge in biochemistry, with major implications for basic science and drug discovery. Computational structure prediction methods generally leverage pre-defined structural…

Biomolecules · Quantitative Biology 2021-01-26 Stephan Eismann , Raphael J. L. Townshend , Nathaniel Thomas , Milind Jagota , Bowen Jing , Ron O. Dror

Neural representations have emerged as a new paradigm for applications in rendering, imaging, geometric modeling, and simulation. Compared to traditional representations such as meshes, point clouds, or volumes they can be flexibly…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Julien N. P. Martel , David B. Lindell , Connor Z. Lin , Eric R. Chan , Marco Monteiro , Gordon Wetzstein

Accurate yet efficient surrogate models are essential for large-scale simulations of partial differential equations (PDEs), particularly for uncertainty quantification (UQ) tasks that demand hundreds or thousands of evaluations. We develop…

Spiking Neural Networks (SNNs) provide a promising framework for energy-efficient and biologically grounded computation; however, scalable learning in deep recurrent architectures with sparse connectivity remains a major challenge. In this…

Neural and Evolutionary Computing · Computer Science 2026-05-04 Bo Tang , Weiwei Xie

Spiking neural networks (SNNs) represent a promising approach in machine learning, combining the hierarchical learning capabilities of deep neural networks with the energy efficiency of spike-based computations. Traditional end-to-end…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Ruyin Wan , Qian Zhang , George Em Karniadakis

Homogenization is a technique commonly used in multiscale computational science and engineering for predicting collective response of heterogeneous materials and extracting effective mechanical properties. In this paper, a three-dimensional…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Chengping Rao , Yang Liu

In the past few years, convolutional neural nets (CNN) have shown incredible promise for learning visual representations. In this paper, we use CNNs for the task of predicting surface normals from a single image. But what is the right…

Computer Vision and Pattern Recognition · Computer Science 2014-11-19 Xiaolong Wang , David F. Fouhey , Abhinav Gupta

Current popular backbones in computer vision, such as Vision Transformers (ViT) and ResNets are trained to perceive the world from 2D images. However, to more effectively understand 3D structural priors in 2D backbones, we propose Mask3D to…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Ji Hou , Xiaoliang Dai , Zijian He , Angela Dai , Matthias Nießner

Gradient-based optimization of engineering designs is limited by non-differentiable components in the typical computer-aided engineering (CAE) workflow, which calculates performance metrics from design parameters. While gradient-based…

Computational Engineering, Finance, and Science · Computer Science 2025-11-17 Andrin Rehmann , Nolan Black , Josiah Bjorgaard , Alessandro Angioi , Andrei Paleyes , Niklas Heim , Dion Häfner , Alexander Lavin

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

Patient-specific hemodynamics assessment could support diagnosis and treatment of neurovascular diseases. Currently, conventional medical imaging modalities are not able to accurately acquire high-resolution hemodynamic information that…

Deep learning is ubiquitous across many areas areas of computer vision. It often requires large scale datasets for training before being fine-tuned on small-to-medium scale problems. Activity, or, in other words, action recognition, is one…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 Yusuf Tas , Piotr Koniusz