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Many important problems in science and engineering require solving the so-called parametric partial differential equations (PDEs), i.e., PDEs with different physical parameters, boundary conditions, shapes of computation domains, etc.…

Machine Learning · Computer Science 2022-11-22 Xiang Huang , Zhanhong Ye , Hongsheng Liu , Beiji Shi , Zidong Wang , Kang Yang , Yang Li , Bingya Weng , Min Wang , Haotian Chu , Fan Yu , Bei Hua , Lei Chen , Bin Dong

Numerical solvers of Partial Differential Equations (PDEs) are of fundamental significance to science and engineering. To date, the historical reliance on legacy techniques has circumscribed possible integration of big data knowledge and…

Numerical Analysis · Mathematics 2024-08-12 Xi Han , Fei Hou , Hong Qin

Modern deep neural networks increasingly make use of features such as dynamic control flow, data structures and dynamic tensor shapes. Existing deep learning systems focus on optimizing and executing static neural networks which assume a…

Programming Languages · Computer Science 2021-03-15 Haichen Shen , Jared Roesch , Zhi Chen , Wei Chen , Yong Wu , Mu Li , Vin Sharma , Zachary Tatlock , Yida Wang

Recent advances in scientific machine learning (SciML) have enabled neural operators (NOs) to serve as powerful surrogates for modeling the dynamic evolution of physical systems governed by partial differential equations (PDEs). While…

Machine Learning · Computer Science 2026-02-18 Siying Ma , Mehrdad M. Zadeh , Mauricio Soroco , Wuyang Chen , Jiguo Cao , Vijay Ganesh

Mixed-precision Deep Neural Networks achieve the energy efficiency and throughput needed for hardware deployment, particularly when the resources are limited, without sacrificing accuracy. However, the optimal per-layer bit precision that…

Machine Learning · Computer Science 2022-08-15 Mariam Rakka , Mohammed E. Fouda , Pramod Khargonekar , Fadi Kurdahi

Ultrasound elasticity images which enable the visualization of quantitative maps of tissue stiffness can be reconstructed by solving an inverse problem. Classical model-based approaches for ultrasound elastography use deterministic finite…

Image and Video Processing · Electrical Eng. & Systems 2021-07-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

The goal of this work is to train a neural network which approximates solutions to the Navier-Stokes equations across a region of parameter space, in which the parameters define physical properties such as domain shape and boundary…

Computational Physics · Physics 2021-06-02 Christopher J Arthurs , Andrew P King

Many important problems in science and engineering require solving the so-called parametric partial differential equations (PDEs), i.e., PDEs with different physical parameters, boundary conditions, shapes of computational domains, etc.…

Numerical Analysis · Mathematics 2024-02-06 Zhanhong Ye , Xiang Huang , Hongsheng Liu , Bin Dong

We present an approach to automate the process of discovering optimization methods, with a focus on deep learning architectures. We train a Recurrent Neural Network controller to generate a string in a domain specific language that…

Artificial Intelligence · Computer Science 2017-09-25 Irwan Bello , Barret Zoph , Vijay Vasudevan , Quoc V. Le

Recent advances in deep learning have inspired numerous works on data-driven solutions to partial differential equation (PDE) problems. These neural PDE solvers can often be much faster than their numerical counterparts; however, each…

Machine Learning · Computer Science 2025-02-06 Anthony Zhou , Zijie Li , Michael Schneier , John R Buchanan , Amir Barati Farimani

We address the fundamental question of how to optimally probe a scene with electromagnetic (EM) radiation to yield a maximum amount of information relevant to a particular task. Machine learning (ML) techniques have emerged as powerful…

Optimization aims at selecting a feasible set of parameters in an attempt to solve a particular problem, being applied in a wide range of applications, such as operations research, machine learning fine-tuning, and control engineering,…

Neural and Evolutionary Computing · Computer Science 2020-12-03 Gustavo H. de Rosa , Douglas Rodrigues , João P. Papa

Transformers have empowered many milestones across various fields and have recently been applied to solve partial differential equations (PDEs). However, since PDEs are typically discretized into large-scale meshes with complex geometries,…

Machine Learning · Computer Science 2024-06-04 Haixu Wu , Huakun Luo , Haowen Wang , Jianmin Wang , Mingsheng Long

Building on our recent research on neural heuristic quantization systems, results on learning quantized motions and resilience to channel dropouts are reported. We propose a general emulation problem consistent with the neuromimetic…

Systems and Control · Electrical Eng. & Systems 2023-05-08 Zexin Sun , John Baillieul

With increasing share of renewables in power generation mix, system operators would need to run Optimal Power Flow (OPF) problems closer to real-time to better manage uncertainty. Given that OPF is an expensive optimization problem to…

Signal Processing · Electrical Eng. & Systems 2020-12-22 Alex Robson , Mahdi Jamei , Cozmin Ududec , Letif Mones

Robots and intelligent systems that sense or interact with the world are increasingly being used to automate a wide array of tasks. The ability of these systems to complete these tasks depends on a large range of technologies such as the…

Robotics · Computer Science 2022-09-02 Charles Schaff

In scenarios with limited available data, training the function-to-function neural PDE solver in an unsupervised manner is essential. However, the efficiency and accuracy of existing methods are constrained by the properties of numerical…

Machine Learning · Computer Science 2025-03-12 Rui Zhang , Qi Meng , Rongchan Zhu , Yue Wang , Wenlei Shi , Shihua Zhang , Zhi-Ming Ma , Tie-Yan Liu

Computationally weak systems and demanding graphical applications are still mostly dependent on linear blendshapes for facial animations. The accompanying artifacts such as self-intersections, loss of volume, or missing soft tissue…

Graphics · Computer Science 2023-01-23 Nicolas Wagner , Ulrich Schwanecke , Mario Botsch

Real-world robotic applications, from autonomous exploration to assistive technologies, require adaptive, interpretable, and data-efficient learning paradigms. While deep learning architectures and foundation models have driven significant…

Robotics · Computer Science 2025-06-11 Octavio Arriaga , Rebecca Adam , Melvin Laux , Lisa Gutzeit , Marco Ragni , Jan Peters , Frank Kirchner

Typically, loss functions, regularization mechanisms and other important aspects of training parametric models are chosen heuristically from a limited set of options. In this paper, we take the first step towards automating this process,…