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Methodologies for multidimensionality reduction aim at discovering low-dimensional manifolds where data ranges. Principal Component Analysis (PCA) is very effective if data have linear structure. But fails in identifying a possible…

Numerical Analysis · Mathematics 2021-01-14 Alberto García-González , Antonio Huerta , Sergio Zlotnik , Pedro Díez

Deep learning is one of the new and important branches in machine learning. Deep learning refers to a set of algorithms that solve various problems such as images and texts by using various machine learning algorithms in multi-layer neural…

Computer Vision and Pattern Recognition · Computer Science 2019-01-10 Yang Li , Sangwhan Cha

We propose a kernelized classification layer for deep networks. Although conventional deep networks introduce an abundance of nonlinearity for representation (feature) learning, they almost universally use a linear classifier on the learned…

Machine Learning · Computer Science 2021-03-22 Sadeep Jayasumana , Srikumar Ramalingam , Sanjiv Kumar

The small receptive field and capacity of minimal neural networks limit their performance when using them to be the backbone of detectors. In this work, we find that the appearance feature of a generic face is discriminative enough for a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-18 Guanglu Song , Yu Liu , Yuhang Zang , Xiaogang Wang , Biao Leng , Qingsheng Yuan

We consider the problem of interpretable network representation learning for samples of network-valued data. We propose the Principal Component Analysis for Networks (PCAN) algorithm to identify statistically meaningful low-dimensional…

Machine Learning · Statistics 2021-06-29 James D. Wilson , Jihui Lee

Deep Convolutional Neural Networks (CNN) have exhibited superior performance in many visual recognition tasks including image classification, object detection, and scene label- ing, due to their large learning capacity and resistance to…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Miao Sun , Tony X. Han , Xun Xu , Ming-Chang Liu , Ahmad Khodayari-Rostamabad

Kernel methods have been proven to be a powerful tool for the integration and analysis of highthroughput technologies generated data. Kernels offer a nonlinear version of any linear algorithm solely based on dot products. The kernelized…

Applications · Statistics 2024-11-27 Mitja Briscik , Marie-Agnès Dillies , Sébastien Déjean

Recent work suggests that convolutional neural networks of different architectures learn to classify images in the same order. To understand this phenomenon, we revisit the over-parametrized deep linear network model. Our analysis reveals…

Machine Learning · Computer Science 2023-12-29 Guy Hacohen , Daphna Weinshall

We study non-linear data-dimension reduction. We are motivated by the classical linear framework of Principal Component Analysis. In nonlinear case, we introduce instead a new kernel-Principal Component Analysis, manifold and feature space…

Functional Analysis · Mathematics 2022-09-09 Palle E. T. Jorgensen , Sooran Kang , Myung-Sin Song , Feng Tian

Accurate localization of proteins from fluorescence microscopy images is challenging due to the inter-class similarities and intra-class disparities introducing grave concerns in addressing multi-class classification problems. Conventional…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Muhammad Tahir , Saeed Anwar , Ajmal Mian , Abdul Wahab Muzaffar

The objective of this work is set-based verification, e.g. to decide if two sets of images of a face are of the same person or not. The traditional approach to this problem is to learn to generate a feature vector per image, aggregate them…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Weidi Xie , Li Shen , Andrew Zisserman

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

We propose a random convolutional neural network to generate a feature space in which we study image classification and retrieval performance. Put briefly we apply random convolutional blocks followed by global average pooling to generate a…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Yunzhe Xue , Usman Roshan

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

We present a novel deep convolutional neural network (DCNN) system for fine-grained image classification, called a mixture of DCNNs (MixDCNN). The fine-grained image classification problem is characterised by large intra-class variations…

Computer Vision and Pattern Recognition · Computer Science 2015-12-01 ZongYuan Ge , Alex Bewley , Christopher McCool , Ben Upcroft , Peter Corke , Conrad Sanderson

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

As proteins with similar structures often have similar functions, analysis of protein structures can help predict protein functions and is thus important. We consider the problem of protein structure classification, which computationally…

Machine Learning · Statistics 2019-10-08 Hongyu Guo , Khalique Newaz , Scott Emrich , Tijana Milenkovic , Jun Li

For image classification problems, various neural network models are commonly used due to their success in yielding high accuracies. Convolutional Neural Network (CNN) is one of the most frequently used deep learning methods for image…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ilkay Sikdokur , Inci Baytas , Arda Yurdakul

In this paper, we propose a new deep learning network "GENet", it combines the multi-layer network architec- ture and graph embedding framework. Firstly, we use simplest unsupervised learning PCA/LDA as first layer to generate the low-…

Computer Vision and Pattern Recognition · Computer Science 2014-09-26 Yufei Gan , Teng Yang , Chu He

Despite the effectiveness of Convolutional Neural Networks (CNNs) for image classification, our understanding of the relationship between shape of convolution kernels and learned representations is limited. In this work, we explore and…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Zhun Sun , Mete Ozay , Takayuki Okatani