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The recently discovered Neural collapse (NC) phenomenon states that the last-layer weights of Deep Neural Networks (DNN), converge to the so-called Equiangular Tight Frame (ETF) simplex, at the terminal phase of their training. This ETF…

Machine Learning · Computer Science 2024-03-01 Hafiz Tiomoko Ali , Umberto Michieli , Ji Joong Moon , Daehyun Kim , Mete Ozay

We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train format. This format can encode standard approximation tools,…

Numerical Analysis · Mathematics 2025-12-23 Martin Eigel , Charles Miranda , Anthony Nouy , David Sommer

Modern deep neural networks (DNNs) are extremely powerful; however, this comes at the price of increased depth and having more parameters per layer, making their training and inference more computationally challenging. In an attempt to…

Machine Learning · Statistics 2024-03-04 Lingyu Gu , Yongqi Du , Yuan Zhang , Di Xie , Shiliang Pu , Robert C. Qiu , Zhenyu Liao

Compressive sensing (CS), aiming to reconstruct an image/signal from a small set of random measurements has attracted considerable attentions in recent years. Due to the high dimensionality of images, previous CS methods mainly work on…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Xiaotong Lu , Weisheng Dong , Peiyao Wang , Guangming Shi , Xuemei Xie

In the last decade, special purpose computing systems, such as Neuromorphic computing, have become very popular in the field of computer vision and machine learning for classification tasks. In 2015, IBM's released the TrueNorth…

Computer Vision and Pattern Recognition · Computer Science 2018-02-09 Md Zahangir Alom , Theodore Josue , Md Nayim Rahman , Will Mitchell , Chris Yakopcic , Tarek M. Taha

In this work, we introduce a Denser Feature Network (DenserNet) for visual localization. Our work provides three principal contributions. First, we develop a convolutional neural network (CNN) architecture which aggregates feature maps at…

Computer Vision and Pattern Recognition · Computer Science 2021-03-15 Dongfang Liu , Yiming Cui , Liqi Yan , Christos Mousas , Baijian Yang , Yingjie Chen

Modern Convolutional Neural Networks (CNN) are extremely powerful on a range of computer vision tasks. However, their performance may degrade when the data is characterised by large intra-class variability caused by spatial transformations.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Roberto Annunziata , Christos Sagonas , Jacques Calì

This paper proposes a new mean-field framework for over-parameterized deep neural networks (DNNs), which can be used to analyze neural network training. In this framework, a DNN is represented by probability measures and functions over its…

Machine Learning · Statistics 2020-07-06 Cong Fang , Jason D. Lee , Pengkun Yang , Tong Zhang

Deep learning with a convolutional neural network (CNN) has been proved to be very effective in feature extraction and representation of images. For image classification problems, this work aim at finding which classifier is more…

Machine Learning · Computer Science 2015-06-09 Lei Zhang , David Zhang

Understanding the semantic characteristics of the environment is a key enabler for autonomous robot operation. In this paper, we propose a deep convolutional neural network (DCNN) for the semantic segmentation of a LiDAR scan into the…

Robotics · Computer Science 2020-03-24 Ayush Dewan , Wolfram Burgard

Deep learning has gained great success in various classification tasks. Typically, deep learning models learn underlying features directly from data, and no underlying relationship between classes are included. Similarity between classes…

Computer Vision and Pattern Recognition · Computer Science 2020-09-28 Xueli Xiao , Chunyan Ji , Thosini Bamunu Mudiyanselage , Yi Pan

The latest generation of Convolutional Neural Networks (CNN) have achieved impressive results in challenging benchmarks on image recognition and object detection, significantly raising the interest of the community in these methods.…

Computer Vision and Pattern Recognition · Computer Science 2014-11-06 Ken Chatfield , Karen Simonyan , Andrea Vedaldi , Andrew Zisserman

Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we…

Machine Learning · Computer Science 2019-05-21 Sangkyun Lee , Jeonghyun Lee

Tensor Networks (TNs) are a computational paradigm used for representing quantum many-body systems. Recent works have shown how TNs can also be applied to perform Machine Learning (ML) tasks, yielding comparable results to standard…

High Energy Physics - Experiment · Physics 2024-09-26 Lorenzo Borella , Alberto Coppi , Jacopo Pazzini , Andrea Stanco , Marco Trenti , Andrea Triossi , Marco Zanetti

Recently, methods have been developed to accurately predict the testing performance of a Deep Neural Network (DNN) on a particular task, given statistics of its underlying topological structure. However, further leveraging this newly found…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Stuart Synakowski , Fabian Benitez-Quiroz , Aleix M. Martinez

Deep Convolutional Neural Networks (DCNNs) have recently shown state of the art performance in high level vision tasks, such as image classification and object detection. This work brings together methods from DCNNs and probabilistic…

Computer Vision and Pattern Recognition · Computer Science 2016-06-08 Liang-Chieh Chen , George Papandreou , Iasonas Kokkinos , Kevin Murphy , Alan L. Yuille

Convolutional Neural Network (CNN) has gained state-of-the-art results in many pattern recognition and computer vision tasks. However, most of the CNN structures are manually designed by experienced researchers. Therefore, auto- matically…

Neural and Evolutionary Computing · Computer Science 2018-10-26 Guoqiang Zhong , Tao Li , Wenxue Liu , Yang Chen

The anatomical location of imaging features is of crucial importance for accurate diagnosis in many medical tasks. Convolutional neural networks (CNN) have had huge successes in computer vision, but they lack the natural ability to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Mohsen Ghafoorian , Nico Karssemeijer , Tom Heskes , Inge van Uden , Clara Sanchez , Geert Litjens , Frank-Erik de Leeuw , Bram van Ginneken , Elena Marchiori , Bram Platel

Deep Convolutional Neural Networks (CNN) provides an "end-to-end" solution for image pattern recognition with impressive performance in many areas of application including medical imaging. Most CNN models of high performance use…

Image and Video Processing · Electrical Eng. & Systems 2020-05-29 Mohammed Ahmed , Hongbo Du , Alaa AlZoubi

Although deep learning has yielded impressive performance for face recognition, many studies have shown that different networks learn different feature maps: while some networks are more receptive to pose and illumination others appear to…

Computer Vision and Pattern Recognition · Computer Science 2017-02-16 Navaneeth Bodla , Jingxiao Zheng , Hongyu Xu , Jun-Cheng Chen , Carlos Castillo , Rama Chellappa