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This paper develops a general approach for deep learning for a setting that includes nonparametric regression and classification. We perform a framework from data that fulfills a generalized Bernstein-type inequality, including independent,…

Statistics Theory · Mathematics 2025-12-30 William Kengne , Modou Wade

Motivated by problems where the response is needed at select localized regions in a large computational domain, we devise a novel finite element discretization that results in exponential convergence at pre-selected points. The two key…

Numerical Analysis · Mathematics 2016-08-03 Murthy N. Guddati , Vladimir Druskin , Ali Vaziri Astaneh

Feature descriptors play a crucial role in a wide range of geometry analysis and processing applications, including shape correspondence, retrieval, and segmentation. In this paper, we introduce Geodesic Convolutional Neural Networks…

Computer Vision and Pattern Recognition · Computer Science 2018-06-11 Jonathan Masci , Davide Boscaini , Michael M. Bronstein , Pierre Vandergheynst

Deep learning based methods, such as Convolution Neural Network (CNN), have demonstrated their efficiency in hyperspectral image (HSI) classification. These methods can automatically learn spectral-spatial discriminative features within…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Yu Shen , Sijie Zhu , Chen Chen , Qian Du , Liang Xiao , Jianyu Chen , Delu Pan

Deep learning with Convolutional Neural Networks has shown great promise in various areas of image-based classification and enhancement but is often unsuitable for predictive modeling involving non-image based features or features without…

Machine Learning · Computer Science 2020-09-02 Omid Bazgir , Ruibo Zhang , Saugato Rahman Dhruba , Raziur Rahman , Souparno Ghosh , Ranadip Pal

A novel convolution neural network model, abbreviated NL-CNN is proposed, where nonlinear convolution is emulated in a cascade of convolution + nonlinearity layers. The code for its implementation and some trained models are made publicly…

Machine Learning · Computer Science 2021-02-03 Radu Dogaru , Ioana Dogaru

Multi-scale features are essential for dense prediction tasks, such as object detection, instance segmentation, and semantic segmentation. The prevailing methods usually utilize a classification backbone to extract multi-scale features and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Gang Zhang , Ziyi Li , Chufeng Tang , Jianmin Li , Xiaolin Hu

This paper presents a deep learning-based de-homogenization method for structural compliance minimization. By using a convolutional neural network to parameterize the mapping from a set of lamination parameters on a coarse mesh to a…

Machine Learning · Computer Science 2021-11-03 Martin O. Elingaard , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

Applying deep learning concepts from image detection and graph theory has greatly advanced protein-ligand binding affinity prediction, a challenge with enormous ramifications for both drug discovery and protein engineering. We build upon…

Biomolecules · Quantitative Biology 2023-12-05 Gregory W. Kyro , Rafael I. Brent , Victor S. Batista

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

Machine Learning · Computer Science 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

Defect detection is a basic and essential task in automatic parts production, especially for automotive engine precision parts. In this paper, we propose a new idea to construct a deep convolutional network combining related knowledge of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Zhenshen Qu , Jianxiong Shen , Ruikun Li , Junyu Liu , Qiuyu Guan

This paper proposes a new deep convolutional neural network (DCNN) architecture that learns pixel embeddings, such that pairwise distances between the embeddings can be used to infer whether or not the pixels lie on the same region. That…

Computer Vision and Pattern Recognition · Computer Science 2016-01-11 Adam W. Harley , Konstantinos G. Derpanis , Iasonas Kokkinos

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Edouard Oyallon

Object identification is one of the most fundamental and difficult issues in computer vision. It aims to discover object instances in real pictures from a huge number of established categories. In recent years, deep learning-based object…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Venkata Beri

In this paper, we propose a novel deep neural network framework embedded with low-level features (LCNN) for salient object detection in complex images. We utilise the advantage of convolutional neural networks to automatically learn the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-18 Hongyang Li , Huchuan Lu , Zhe Lin , Xiaohui Shen , Brian Price

A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative…

Numerical Analysis · Computer Science 2017-06-06 T. P. Fries

Neural operators aim to learn mappings between infinite-dimensional function spaces, but their performance often degrades on complex or irregular geometries due to the lack of geometry-aware representations. We propose the Finite Element…

Numerical Analysis · Mathematics 2026-02-03 Shiyuan Li , Hossein Salahshoor

We extend the finite element interpolated neural network (FEINN) framework from partial differential equations (PDEs) with weak solutions in $H^1$ to PDEs with weak solutions in $H(\textbf{curl})$ or $H(\textbf{div})$. To this end, we…

Numerical Analysis · Mathematics 2025-03-17 Santiago Badia , Wei Li , Alberto F. Martín

We present Spline-based Convolutional Neural Networks (SplineCNNs), a variant of deep neural networks for irregular structured and geometric input, e.g., graphs or meshes. Our main contribution is a novel convolution operator based on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Matthias Fey , Jan Eric Lenssen , Frank Weichert , Heinrich Müller

In this paper, we propose deformable deep convolutional neural networks for generic object detection. This new deep learning object detection framework has innovations in multiple aspects. In the proposed new deep architecture, a new…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Wanli Ouyang , Xiaogang Wang , Xingyu Zeng , Shi Qiu , Ping Luo , Yonglong Tian , Hongsheng Li , Shuo Yang , Zhe Wang , Chen-Change Loy , Xiaoou Tang