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We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

Computational Physics · Physics 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

Deep neural networks (DNNs) trained for image denoising are able to generate high-quality samples with score-based reverse diffusion algorithms. These impressive capabilities seem to imply an escape from the curse of dimensionality, but…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Zahra Kadkhodaie , Florentin Guth , Eero P. Simoncelli , Stéphane Mallat

Deep learning achieves remarkable generalization capability with overwhelming number of model parameters. Theoretical understanding of deep learning generalization receives recent attention yet remains not fully explored. This paper…

Machine Learning · Computer Science 2017-11-22 Guanhua Zheng , Jitao Sang , Changsheng Xu

To make the best use of the underlying minute and subtle differences, fine-grained classifiers collect information about inter-class variations. The task is very challenging due to the small differences between the colors, viewpoint, and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-04 Saeed Anwar , Nick Barnes , Lars Petersson

Our understanding of the generalization capabilities of neural networks (NNs) is still incomplete. Prevailing explanations are based on implicit biases of gradient descent (GD) but they cannot account for the capabilities of models from…

Machine Learning · Computer Science 2025-05-01 Damien Teney , Armand Nicolicioiu , Valentin Hartmann , Ehsan Abbasnejad

The Convolutional Neural Networks (CNNs), in domains like computer vision, mostly reduced the need for handcrafted features due to its ability to learn the problem-specific features from the raw input data. However, the selection of…

Computer Vision and Pattern Recognition · Computer Science 2019-11-20 S. H. Shabbeer Basha , Shiv Ram Dubey , Viswanath Pulabaigari , Snehasis Mukherjee

In this paper we challenge the common assumption that convolutional layers in modern CNNs are translation invariant. We show that CNNs can and will exploit the absolute spatial location by learning filters that respond exclusively to…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Osman Semih Kayhan , Jan C. van Gemert

Over the past decade, deep learning research has been accelerated by increasingly powerful hardware, which facilitated rapid growth in the model complexity and the amount of data ingested. This is becoming unsustainable and therefore…

Machine Learning · Computer Science 2024-02-08 Damian Owerko , Charilaos I. Kanatsoulis , Alejandro Ribeiro

Recent studies reveal that a deep neural network can learn transferable features which generalize well to novel tasks for domain adaptation. However, as deep features eventually transition from general to specific along the network, the…

Machine Learning · Computer Science 2015-05-28 Mingsheng Long , Yue Cao , Jianmin Wang , Michael I. Jordan

We quantify the generalization of a convolutional neural network (CNN) trained to identify cars. First, we perform a series of experiments to train the network using one image dataset - either synthetic or from a camera - and then test on a…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Zhenyi Liu , Trisha Lian , Joyce Farrell , Brian Wandell

Convolutional Neural Networks (CNNs), architectures consisting of convolutional layers, have been the standard choice in vision tasks. Recent studies have shown that Vision Transformers (VTs), architectures based on self-attention modules,…

Computer Vision and Pattern Recognition · Computer Science 2022-01-24 Kishaan Jeeveswaran , Senthilkumar Kathiresan , Arnav Varma , Omar Magdy , Bahram Zonooz , Elahe Arani

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Deep neural networks have been shown to suffer from poor generalization when small perturbations are added (like Gaussian noise), yet little work has been done to evaluate their robustness to more natural image transformations like photo…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Zhe Wu , Zuxuan Wu , Bharat Singh , Larry S. Davis

While deep neural networks take loose inspiration from neuroscience, it is an open question how seriously to take the analogies between artificial deep networks and biological neuronal systems. Interestingly, recent work has shown that deep…

Neurons and Cognition · Quantitative Biology 2018-05-31 William Lotter , Gabriel Kreiman , David Cox

This paper reviews graph convolutional neural networks (GCNNs) through the lens of edge-variant graph filters. The edge-variant graph filter is a finite order, linear, and local recursion that allows each node, in each iteration, to weigh…

Machine Learning · Computer Science 2019-03-05 Elvin Isufi , Fernando Gama , Alejandro Ribeiro

In the computer vision community, Convolutional Neural Networks (CNNs), first proposed in the 1980's, have become the standard visual classification model. Recently, as alternatives to CNNs, Capsule Networks (CapsNets) and Vision…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Jindong Gu

Training deep networks that generalize to a wide range of variations in test data is essential to building accurate and robust image classifiers. One standard strategy is to apply data augmentation to synthetically enlarge the training set.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Yunhan Zhao , Ye Tian , Charless Fowlkes , Wei Shen , Alan Yuille

Dataset bias remains a significant barrier towards solving real world computer vision tasks. Though deep convolutional networks have proven to be a competitive approach for image classification, a question remains: have these models have…

Computer Vision and Pattern Recognition · Computer Science 2017-11-10 Judy Hoffman , Eric Tzeng , Jeff Donahue , Yangqing Jia , Kate Saenko , Trevor Darrell

Deep neural networks (DNNs) exhibit an exceptional capacity for generalization in practical applications. This work aims to capture the effect and benefits of depth for supervised learning via information-theoretic generalization bounds. We…

Machine Learning · Computer Science 2025-05-09 Haiyun He , Ziv Goldfeld

Deep neural networks are widely used in various domains. However, the nature of computations at each layer of the deep networks is far from being well understood. Increasing the interpretability of deep neural networks is thus important.…

Machine Learning · Computer Science 2018-12-19 Haiping Huang
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