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Despite the many successful applications of deep learning models for multidimensional signal and image processing, most traditional neural networks process data represented by (multidimensional) arrays of real numbers. The intercorrelation…

Machine Learning · Computer Science 2024-08-02 Marcos Eduardo Valle

In this paper, convolutional layers of pre-trained VGG16 model are analyzed. The analysis is based on the responses of neurons to the images of classes in ImageNet database. First, a visualization method is proposed in order to illustrate…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Zahra Sadeghi

The current deep neural network algorithm still stays in the end-to-end training supervision method like Image-Label pairs, which makes traditional algorithm is difficult to explain the reason for the results, and the prediction logic is…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Yishuang Tian , Ning Wang , Liang Zhang

It is commonly believed that the hidden layers of deep neural networks (DNNs) attempt to extract informative features for learning tasks. In this paper, we formalize this intuition by showing that the features extracted by DNN coincide with…

Information Theory · Computer Science 2019-05-17 Shao-Lun Huang , Xiangxiang Xu , Lizhong Zheng , Gregory W. Wornell

An increasing number of computer vision tasks can be tackled with deep features, which are the intermediate outputs of a pre-trained Convolutional Neural Network. Despite the astonishing performance, deep features extracted from low-level…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Lingxi Xie , Liang Zheng , Jingdong Wang , Alan Yuille , Qi Tian

In this study, we explore the integration of Neural Networks, a powerful class of functions known for their exceptional approximation capabilities. Our primary emphasis is on the integration of multi-layer Neural Networks, a challenging…

Numerical Analysis · Mathematics 2024-03-20 Yucong Liu

Deep learning has been widely used for hyperspectral pixel classification due to its ability of generating deep feature representation. However, how to construct an efficient and powerful network suitable for hyperspectral data is still…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Jingzhou Chen , Siyu Chen , Peilin Zhou , Yuntao Qian

Deep neural networks have introduced novel and useful tools to the machine learning community. Other types of classifiers can potentially make use of these tools as well to improve their performance and generality. This paper reviews the…

Machine Learning · Computer Science 2019-09-30 Alireza Ghods , Diane J Cook

Convolutional neural networks (CNNs) have achieved superior accuracy in many visual related tasks. However, the inference process through intermediate layers is opaque, making it difficult to interpret such networks or develop trust in…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Yael Konforti , Alon Shpigler , Boaz Lernerand Aharon Bar-Hillel

The groundbreaking performance of deep neural networks (NNs) promoted a surge of interest in providing a mathematical basis to deep learning theory. Low-rank tensor decompositions are specially befitting for this task due to their close…

Machine Learning · Computer Science 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

Nowadays, the Convolutional Neural Networks (CNNs) have achieved impressive performance on many computer vision related tasks, such as object detection, image recognition, image retrieval, etc. These achievements benefit from the CNNs…

Computer Vision and Pattern Recognition · Computer Science 2018-06-04 Zhuwei Qin , Fuxun Yu , Chenchen Liu , Xiang Chen

Natural language processing (NLP) can be done using either top-down (theory driven) and bottom-up (data driven) approaches, which we call mechanistic and phenomenological respectively. The approaches are frequently considered to stand in…

Computation and Language · Computer Science 2019-03-26 Simon Dobnik , John D. Kelleher

A deep neural network (DNN) with piecewise linear activations can partition the input space into numerous small linear regions, where different linear functions are fitted. It is believed that the number of these regions represents the…

Machine Learning · Computer Science 2020-04-30 Xiao Zhang , Dongrui Wu

The superior performance of deep convolutional networks over high-dimensional problems have made them very popular for several applications. Despite their wide adoption, their underlying mechanisms still remain unclear with their…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Angelos Amanatiadis , Vasileios Kaburlasos , Elias Kosmatopoulos

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

As deep neural networks are increasingly used in solving high-stake problems, there is a pressing need to understand their internal decision mechanisms. Visualization has helped address this problem by assisting with interpreting complex…

Machine Learning · Computer Science 2019-06-04 Haekyu Park , Fred Hohman , Duen Horng Chau

We propose two new criteria to understand the advantage of deepening neural networks. It is important to know the expressivity of functions computable by deep neural networks in order to understand the advantage of deepening neural…

Machine Learning · Computer Science 2024-03-06 Yasushi Esaki , Yuta Nakahara , Toshiyasu Matsushima

Deep learning models suffer from opaqueness. For Convolutional Neural Networks (CNNs), current research strategies for explaining models focus on the target classes within the associated training dataset. As a result, the understanding of…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Xuehao Liu , Sarah Jane Delany , Susan McKeever

This paper aims to explain how a deep neural network (DNN) gradually extracts new knowledge and forgets noisy features through layers in forward propagation. Up to now, although the definition of knowledge encoded by the DNN has not reached…

Machine Learning · Computer Science 2024-09-16 Xu Cheng , Lei Cheng , Zhaoran Peng , Yang Xu , Tian Han , Quanshi Zhang

This paper presents an unsupervised method to learn a neural network, namely an explainer, to interpret a pre-trained convolutional neural network (CNN), i.e., explaining knowledge representations hidden in middle conv-layers of the CNN.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Quanshi Zhang , Yu Yang , Yuchen Liu , Ying Nian Wu , Song-Chun Zhu