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Neural networks have been applied to control problems, typically by combining data, differential equation residuals, and objective costs in the training loss or by incorporating auxiliary architectural components. Instead, we propose a…

Optimization and Control · Mathematics 2026-04-10 Oliver G. S. Lundqvist , Fabricio Oliveira

Model efficiency has become increasingly important in computer vision. In this paper, we systematically study neural network architecture design choices for object detection and propose several key optimizations to improve efficiency.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Mingxing Tan , Ruoming Pang , Quoc V. Le

Accurately learning solution operators for time-dependent partial differential equations (PDEs) from sparse and irregular data remains a challenging task. Recurrent DeepONet extensions inherit the discrete-time limitations of…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Diab W. Abueidda , Mbebo Nonna , Panos Pantidis , Mostafa E. Mobasher

We present a logarithmic-scale efficient convolutional neural network architecture for edge devices, named WaveletNet. Our model is based on the well-known depthwise convolution, and on two new layers, which we introduce in this work: a…

Machine Learning · Computer Science 2018-11-29 Li Jing , Rumen Dangovski , Marin Soljacic

It has been observed that residual networks can be viewed as the explicit Euler discretization of an Ordinary Differential Equation (ODE). This observation motivated the introduction of so-called Neural ODEs, which allow more general…

Machine Learning · Computer Science 2021-04-21 Tianjun Zhang , Zhewei Yao , Amir Gholami , Kurt Keutzer , Joseph Gonzalez , George Biros , Michael Mahoney

Learning neural ODEs often requires solving very stiff ODE systems, primarily using explicit adaptive step size ODE solvers. These solvers are computationally expensive, requiring the use of tiny step sizes for numerical stability and…

Adaptive inference is an effective mechanism to achieve a dynamic tradeoff between accuracy and computational cost in deep networks. Existing works mainly exploit architecture redundancy in network depth or width. In this paper, we focus on…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Le Yang , Yizeng Han , Xi Chen , Shiji Song , Jifeng Dai , Gao Huang

The inverse problem of supervised reconstruction of depth-variable (time-dependent) parameters in a neural ordinary differential equation (NODE) is considered, that means finding the weights of a residual network with time continuous…

Machine Learning · Computer Science 2022-02-14 George Baravdish , Gabriel Eilertsen , Rym Jaroudi , B. Tomas Johansson , Lukáš Malý , Jonas Unger

Enforcing orthogonality in neural networks is an antidote for gradient vanishing/exploding problems, sensitivity by adversarial perturbation, and bounding generalization errors. However, many previous approaches are heuristic, and the…

Machine Learning · Computer Science 2021-06-18 Jiahao Su , Wonmin Byeon , Furong Huang

In astrophysics, solving complex chemical reaction networks is essential but computationally demanding due to the high dimensionality and stiffness of the ODE systems. Traditional approaches for reducing computational load are often…

Astrophysics of Galaxies · Physics 2023-12-12 Immanuel Sulzer , Tobias Buck

Training CNN for detection is time-consuming due to the large dataset and complex network modules, making it hard to search architectures on detection datasets directly, which usually requires vast search costs (usually tens and even…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Xiaoxing Wang , Jiale Lin , Junchi Yan , Juanping Zhao , Xiaokang Yang

Convolutional Neural Networks (CNN) are widely used to face challenging tasks like speech recognition, natural language processing or computer vision. As CNN architectures get larger and more complex, their computational requirements…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Luis Balderas , Miguel Lastra , José M. Benítez

We propose ReDense as a simple and low complexity way to improve the performance of trained neural networks. We use a combination of random weights and rectified linear unit (ReLU) activation function to add a ReLU dense (ReDense) layer to…

Machine Learning · Computer Science 2020-10-27 Alireza M. Javid , Sandipan Das , Mikael Skoglund , Saikat Chatterjee

DeepONet has recently been proposed as a representative framework for learning nonlinear mappings between function spaces. However, when it comes to approximating solution operators of partial differential equations (PDEs) with…

Numerical Analysis · Mathematics 2024-08-09 Yameng Zhu , Jingrun Chen , Weibing Deng

Deep Neural Networks (DNNs) are inherently computation-intensive and also power-hungry. Hardware accelerators such as Field Programmable Gate Arrays (FPGAs) are a promising solution that can satisfy these requirements for both embedded and…

Field-Programmable Gate Array (FPGA) accelerators have proven successful in handling latency- and resource-critical deep neural network (DNN) inference tasks. Among the most computationally intensive operations in a neural network (NN) is…

Hardware Architecture · Computer Science 2024-12-10 Marta Andronic , George A. Constantinides

Advances in differentiable numerical integrators have enabled the use of gradient descent techniques to learn ordinary differential equations (ODEs). In the context of machine learning, differentiable solvers are central for Neural ODEs…

Machine Learning · Computer Science 2021-07-06 Weiming Zhi , Tin Lai , Lionel Ott , Edwin V. Bonilla , Fabio Ramos

Depth completion from sparse LiDAR measurements and corresponding RGB images is a prerequisite for accurate 3D perception in robotic systems. Existing methods achieve high accuracy on standard benchmarks but rely on heavy backbone…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Johny J. Lopez , Md Meftahul Ferdaus , Mahdi Abdelguerfi , Anton Netchaev , Steven Sloan , Ken Pathak , Kendall N. Niles

We propose a novel algorithm for combined unit and layer pruning of deep neural networks that functions during training and without requiring a pre-trained network to apply. Our algorithm optimally trades-off learning accuracy and pruning…

Machine Learning · Computer Science 2025-07-17 Valentin Frank Ingmar Guenter , Athanasios Sideris

Deep neural networks (DNNs) recently emerged as a promising tool for analyzing and solving complex differential equations arising in science and engineering applications. Alternative to traditional numerical schemes, learning-based solvers…

Numerical Analysis · Mathematics 2023-08-09 Yuan Lan , Zhen Li , Jie Sun , Yang Xiang
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