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The majority of medical images, especially those that resemble cells, have similar characteristics. These images, which occur in a variety of shapes, often show abnormalities in the organ or cell region. The convolution operation possesses…

Adjoint operators have been found to be effective in the exploration of CNN's inner workings [1]. However, the previous no-bias assumption restricted its generalization. We overcome the restriction via embedding input images into an…

Machine Learning · Computer Science 2023-11-10 Qing Wan , Siu Wun Cheung , Yoonsuck Choe

Convolutional neural networks (CNNs) are able to attain better visual recognition performance than fully connected neural networks despite having much fewer parameters due to their parameter sharing principle. Modern architectures usually…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Ilke Cugu , Emre Akbas

In modern artificial intelligence, convolutional neural networks (CNNs) have become a cornerstone for visual and perceptual tasks. However, their implementation on conventional electronic hardware faces fundamental bottlenecks in speed and…

Deep Convolutional Neural Networks (CNNs) are empirically known to be invariant to moderate translation but not to rotation in image classification. This paper proposes a deep CNN model, called CyCNN, which exploits polar mapping of input…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Jinpyo Kim , Wooekun Jung , Hyungmo Kim , Jaejin Lee

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

Rectified linear unit (ReLU) is a widely used activation function for deep convolutional neural networks. However, because of the zero-hard rectification, ReLU networks miss the benefits from negative values. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Suo Qiu , Xiangmin Xu , Bolun Cai

Visual illusions teach us that what we see is not always what it is represented in the physical world. Its special nature make them a fascinating tool to test and validate any new vision model proposed. In general, current vision models are…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Alexander Gomez-Villa , Adrián Martín , Javier Vazquez-Corral , Marcelo Bertalmío

During the last decade, Convolutional Neural Networks (CNNs) have become the de facto standard for various Computer Vision and Machine Learning operations. CNNs are feed-forward Artificial Neural Networks (ANNs) with alternating…

Signal Processing · Electrical Eng. & Systems 2019-05-10 Serkan Kiranyaz , Onur Avci , Osama Abdeljaber , Turker Ince , Moncef Gabbouj , Daniel J. Inman

We present a novel class of convolutional neural networks (CNNs) for set functions, i.e., data indexed with the powerset of a finite set. The convolutions are derived as linear, shift-equivariant functions for various notions of shifts on…

Machine Learning · Computer Science 2024-06-21 Chris Wendler , Dan Alistarh , Markus Püschel

Previous works proved that the combination of the linear neuron network with nonlinear activation functions (e.g. ReLu) can achieve nonlinear function approximation. However, simply widening or deepening the network structure will introduce…

Networking and Internet Architecture · Computer Science 2020-11-24 Zirui Xu , Jinjun Xiong , Fuxun Yu , Xiang Chen

There are several effective methods in explaining the inner workings of convolutional neural networks (CNNs). However, in general, finding the inverse of the function performed by CNNs as a whole is an ill-posed problem. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Qing Wan , Yoonsuck Choe

The excellent performance of deep neural networks has enabled us to solve several automatization problems, opening an era of autonomous devices. However, current deep net architectures are heavy with millions of parameters and require…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Dat Thanh Tran , Alexandros Iosifidis , Moncef Gabbouj

Deep feedforward neural networks with piecewise linear activations are currently producing the state-of-the-art results in several public datasets. The combination of deep learning models and piecewise linear activation functions allows for…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 Zhibin Liao , Gustavo Carneiro

The Convolutional Neural Network (CNN) is a state-of-the-art architecture for a wide range of deep learning problems, the quintessential example of which is computer vision. CNNs principally employ the convolution operation, which can be…

Image and Video Processing · Electrical Eng. & Systems 2021-03-17 Edward Cottle , Florent Michel , Joseph Wilson , Nick New , Iman Kundu

Pooling operations, which can be calculated at low cost and serve as a linear or nonlinear transfer function for data reduction, are found in almost every modern neural network. Countless modern approaches have already tackled replacing the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Wolfgang Fuhl , Enkelejda Kasneci

Spatial and spectral approaches are two major approaches for image processing tasks such as image classification and object recognition. Among many such algorithms, convolutional neural networks (CNNs) have recently achieved significant…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Shin Fujieda , Kohei Takayama , Toshiya Hachisuka

This paper reveal the selective rotation in the CNNs' forward processing. It elucidates the activation function as a discerning mechanism that unifies and quantizes the rotational aspects of the input data. Experiments show how this defined…

Machine Learning · Computer Science 2023-12-04 Peixin Tian

Complex-valued neural networks (CVNNs) are a powerful modeling tool for domains where data can be naturally interpreted in terms of complex numbers. However, several analytical properties of the complex domain (e.g., holomorphicity) make…

Neural and Evolutionary Computing · Computer Science 2018-02-23 Simone Scardapane , Steven Van Vaerenbergh , Amir Hussain , Aurelio Uncini

The convolutional neural network (CNN) is one of the most commonly used architectures for computer vision tasks. The key building block of a CNN is the convolutional kernel that aggregates information from the pixel neighborhood and shares…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Tianyu Ma , Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu
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