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Recent years have witnessed a growth in mathematics for deep learning--which seeks a deeper understanding of the concepts of deep learning with mathematics and explores how to make it more robust--and deep learning for mathematics, where…

We introduce an end-to-end learnable technique to robustly identify feature edges in 3D point cloud data. We represent these edges as a collection of parametric curves (i.e.,lines, circles, and B-splines). Accordingly, our deep neural…

计算机视觉与模式识别 · 计算机科学 2020-10-27 Xiaogang Wang , Yuelang Xu , Kai Xu , Andrea Tagliasacchi , Bin Zhou , Ali Mahdavi-Amiri , Hao Zhang

Maxwell's equations govern light propagation and its interaction with matter. Therefore, the solution of Maxwell's equations using computational electromagnetic simulations plays a critical role in understanding light-matter interaction and…

光学 · 物理学 2024-06-12 Joowon Lim , Demetri Psaltis

Efficient performance estimation of architectures drawn from large search spaces is essential to Neural Architecture Search. One-Shot methods tackle this challenge by training one supernet to approximate the performance of every…

计算机视觉与模式识别 · 计算机科学 2022-04-06 Shoukang Hu , Ruochen Wang , Lanqing Hong , Zhenguo Li , Cho-Jui Hsieh , Jiashi Feng

Physics-informed neural networks (PINNs) have been demonstrated to be efficient in solving partial differential equations (PDEs) from a variety of experimental perspectives. Some recent studies have also proposed PINN algorithms for PDEs on…

数值分析 · 数学 2024-08-06 Guanhang Lei , Zhen Lei , Lei Shi , Chenyu Zeng , Ding-Xuan Zhou

Nonlinear structural analyses in engineering often require extensive finite element simulations, limiting their applicability in design optimization and real-time control. Conventional deep learning surrogates often struggle with complex,…

机器学习 · 计算机科学 2026-02-20 Jangseop Park , Namwoo Kang

A deep learning approach to blind denoising of images without complete knowledge of the noise statistics is considered. We propose DN-ResNet, which is a deep convolutional neural network (CNN) consisting of several residual blocks…

图像与视频处理 · 电气工程与系统科学 2019-04-12 Haoyu Ren , Mostafa El-Khamy , Jungwon Lee

In recent years, deep learning approaches have achieved state-of-the-art results in the analysis of point cloud data. In cosmology, galaxy redshift surveys resemble such a permutation invariant collection of positions in space. These…

宇宙学与河外天体物理 · 物理学 2022-11-23 Sotiris Anagnostidis , Arne Thomsen , Tomasz Kacprzak , Tilman Tröster , Luca Biggio , Alexandre Refregier , Thomas Hofmann

We present SLNet, a lightweight backbone for 3D point cloud recognition designed to achieve strong performance without the computational cost of many recent attention, graph, and deep MLP based models. The model is built on two simple…

计算机视觉与模式识别 · 计算机科学 2026-03-10 Mohammad Saeid , Amir Salarpour , Pedram MohajerAnsari , Mert D. Pesé

Accurately predicting the elastic properties of crystalline solids is vital for computational materials science. However, traditional atomistic scale ab initio approaches are computationally intensive, especially for studying complex…

无序系统与神经网络 · 物理学 2023-11-13 Teerachote Pakornchote , Annop Ektarawong , Thiparat Chotibut

Composing Graph Neural Networks (GNNs) of operations that respect physical symmetries has been suggested to give better model performance with a smaller number of learnable parameters. However, real-world applications, such as in high…

高能物理 - 唯象学 · 物理学 2023-03-01 Daniel Murnane , Savannah Thais , Jason Wong

Deep ResNet architectures have achieved state of the art performance on many tasks. While they solve the problem of gradient vanishing, they might suffer from gradient exploding as the depth becomes large (Yang et al. 2017). Moreover,…

机器学习 · 计算机科学 2021-03-19 Soufiane Hayou , Eugenio Clerico , Bobby He , George Deligiannidis , Arnaud Doucet , Judith Rousseau

We explore the use of graph networks to deal with irregular-geometry detectors in the context of particle reconstruction. Thanks to their representation-learning capabilities, graph networks can exploit the full detector granularity, while…

数据分析、统计与概率 · 物理学 2023-06-02 Shah Rukh Qasim , Jan Kieseler , Yutaro Iiyama , Maurizio Pierini

We focus on estimating the 3D orientation of the ground plane from a single image. We formulate the problem as an inter-mingled multi-task prediction problem by jointly optimizing for pixel-wise surface normal direction, ground plane…

计算机视觉与模式识别 · 计算机科学 2019-08-13 Yunze Man , Xinshuo Weng , Xi Li , Kris Kitani

Embedded deep learning platforms have witnessed two simultaneous improvements. First, the accuracy of convolutional neural networks (CNNs) has been significantly improved through the use of automated neural-architecture search (NAS)…

The accuracy of solving partial differential equations (PDEs) on coarse grids is greatly affected by the choice of discretization schemes. In this work, we propose to learn time integration schemes based on neural networks which satisfy…

数值分析 · 数学 2023-10-17 Xinxin Yan , Zhideng Zhou , Xiaohan Cheng , Xiaolei Yang

Despite the promise of scientific machine learning (SciML) in combining data-driven techniques with mechanistic modeling, existing approaches for incorporating hard constraints in neural differential equations (NDEs) face significant…

机器学习 · 计算机科学 2025-05-28 Avik Pal , Alan Edelman , Christopher Rackauckas

Deep ResNets are recognized for achieving state-of-the-art results in complex machine learning tasks. However, the remarkable performance of these architectures relies on a training procedure that needs to be carefully crafted to avoid…

机器学习 · 计算机科学 2025-03-04 Pierre Marion , Adeline Fermanian , Gérard Biau , Jean-Philippe Vert

The rapid development of spatial transcriptomics (ST) offers new opportunities to explore the gene expression patterns within the spatial microenvironment. Current research integrates pathological images to infer gene expression, addressing…

Over the last few years deep artificial neural networks (DNNs) have very successfully been used in numerical simulations for a wide variety of computational problems including computer vision, image classification, speech recognition,…

数值分析 · 数学 2019-08-13 Philipp Grohs , Fabian Hornung , Arnulf Jentzen , Philipp Zimmermann
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