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We study kernel methods in machine learning from the perspective of feature subspace. We establish a one-to-one correspondence between feature subspaces and kernels and propose an information-theoretic measure for kernels. In particular, we…

Machine Learning · Computer Science 2023-05-12 Xiangxiang Xu , Lizhong Zheng

One of the major challenges for low-rank multi-fidelity (MF) approaches is the assumption that low-fidelity (LF) and high-fidelity (HF) models admit "similar" low-rank kernel representations. Low-rank MF methods have traditionally attempted…

Numerical Analysis · Mathematics 2021-01-07 Mani Razi , Robert M. Kirby , Akil Narayan

Machine learning and deep learning have been used extensively to classify physical surfaces through images and time-series contact data. However, these methods rely on human expertise and entail the time-consuming processes of data and…

Machine Learning · Computer Science 2023-08-10 Behnam Khojasteh , Friedrich Solowjow , Sebastian Trimpe , Katherine J. Kuchenbecker

As a long-standing problem in computer vision, face detection has attracted much attention in recent decades for its practical applications. With the availability of face detection benchmark WIDER FACE dataset, much of the progresses have…

Computer Vision and Pattern Recognition · Computer Science 2019-01-31 Shifeng Zhang , Rui Zhu , Xiaobo Wang , Hailin Shi , Tianyu Fu , Shuo Wang , Tao Mei , Stan Z. Li

Nonparametric feature selection in high-dimensional data is an important and challenging problem in statistics and machine learning fields. Most of the existing methods for feature selection focus on parametric or additive models which may…

Methodology · Statistics 2021-03-31 Hang Yu , Yuanjia Wang , Donglin Zeng

To improve the classification performance and generalization ability of the hyperspectral image classification algorithm, this paper uses Multi-Scale Total Variation (MSTV) to extract the spectral features, local binary pattern (LBP) to…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Zhixin Yan , Jiawei Huang , Kehua Xiang

The transcriptomics of cancer tumors are characterized with tens of thousands of gene expression features. Patient prognosis or tumor stage can be assessed by machine learning techniques like supervised classification tasks given a gene…

Machine Learning · Computer Science 2020-04-13 Martin Palazzo , Patricio Yankilevich , Pierre Beauseroy

We present a data-driven method for computing approximate forward reachable sets using separating kernels in a reproducing kernel Hilbert space. We frame the problem as a support estimation problem, and learn a classifier of the support as…

Optimization and Control · Mathematics 2020-11-20 Adam J. Thorpe , Kendric R. Ortiz , Meeko M. K. Oishi

We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

Machine Learning · Statistics 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte

In recent years, there have been significant efforts on mitigating unethical demographic biases in machine learning methods. However, very little is done for kernel methods. In this paper, we propose a new fair kernel regression method via…

Machine Learning · Computer Science 2019-09-24 Austin Okray , Hui Hu , Chao Lan

Hyperspectral imagery is rich in spatial and spectral information. Using 3D-CNN can simultaneously acquire features of spatial and spectral dimensions to facilitate classification of features, but hyperspectral image information spectral…

Image and Video Processing · Electrical Eng. & Systems 2022-02-15 Guandong Li , Chunju Zhang

Efficient and accurate low-rank approximations of multiple data sources are essential in the era of big data. The scaling of kernel-based learning algorithms to large datasets is limited by the O(n^2) computation and storage complexity of…

Machine Learning · Computer Science 2020-12-10 Martin Stražar , Tomaž Curk

With the rapid advancements in wireless communication technology, automatic modulation recognition (AMR) plays a critical role in ensuring communication security and reliability. However, numerous challenges, including higher performance…

Machine Learning · Computer Science 2025-02-27 Dongwei Xu , Yutao Zhu , Yao Lu , Youpeng Feng , Yun Lin , Qi Xuan

Heterogeneous face recognition (HFR) refers to matching face images acquired from different domains with wide applications in security scenarios. This paper presents a deep neural network approach namely Multi-Margin based Decorrelation…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Bing Cao , Nannan Wang , Xinbo Gao , Jie Li , Zhifeng Li

Kinship verification has a number of applications such as organizing large collections of images and recognizing resemblances among humans. In this research, first, a human study is conducted to understand the capabilities of human mind and…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Naman Kohli , Mayank Vatsa , Richa Singh , Afzel Noore , Angshul Majumdar

Machine Learning (ML) has become a promising tool for improving the quality of atomistic simulations. Using formaldehyde as a benchmark system for intramolecular interactions, a comparative assessment of ML models based on state-of-the-art…

Few-shot learning performs classification tasks and regression tasks on scarce samples. As one of the most representative few-shot learning models, Prototypical Network represents each class as sample average, or a prototype, and measures…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Tao Zhang , Wu Huang

Bilateral filtering (BF) is one of the most classical denoising filters, however, the manually initialized filtering kernel hampers its adaptivity across images with various characteristics. To deal with image variation (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Feihong Liu , Jun Feng , Pew-Thian Yap , Dinggang Shen

Multiple Kernel Learning (MKL) models combine several kernels in supervised and unsupervised settings to integrate multiple data representations or sources, each represented by a different kernel. MKL seeks an optimal linear combination of…

Machine Learning · Computer Science 2025-12-15 Janaina Mourão-Miranda , Zakria Hussain , Konstantinos Tsirlis , Christophe Phillips , John Shawe-Taylor

Kernel based Deep Learning using multi-layer kernel machines(MKMs) was proposed by Y.Cho and L.K. Saul in \cite{saul}. In MKMs they used only one kernel(arc-cosine kernel) at a layer for the kernel PCA-based feature extraction. We propose…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Akhil Meethal , Asharaf S , Sumitra S