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Spectrum sensing is a key technology for cognitive radios. We present spectrum sensing as a classification problem and propose a sensing method based on deep learning classification. We normalize the received signal power to overcome the…

Signal Processing · Electrical Eng. & Systems 2019-09-16 Shilian Zheng , Shichuan Chen , Peihan Qi , Huaji Zhou , Xiaoniu Yang

Spectrum sensing is a fundamental component is a cognitive radio. In this paper, we propose new sensing methods based on the eigenvalues of the covariance matrix of signals received at the secondary users. In particular, two sensing…

Information Theory · Computer Science 2016-09-08 Yonghong Zeng , Ying-Chang Liang

Prior knowledge can improve the performance of spectrum sensing. Instead of using universal features as prior knowledge, we propose to blindly learn the localized feature at the secondary user. Motivated by pattern recognition in machine…

Information Theory · Computer Science 2011-03-03 Peng Zhang , Robert Qiu

In quantum kernel learning, the primary method involves using a quantum computer to calculate the inner product between feature vectors, thereby obtaining a Gram matrix used as a kernel in machine learning models such as support vector…

Quantum Physics · Physics 2024-05-17 Hiroshi Yamauchi , Tomah Sogabe , Rodney Van Meter

We propose a kernel-PCA based method to detect anomaly in chemical sensors. We use temporal signals produced by chemical sensors to form vectors to perform the Principal Component Analysis (PCA). We estimate the kernel-covariance matrix of…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Hongyi Pan , Diaa Badawi , Ishaan Bassi , Sule Ozev , Ahmet Enis Cetin

Understanding the spectral properties of kernels offers a principled perspective on generalization and representation quality. While deep models achieve state-of-the-art accuracy in molecular property prediction, kernel methods remain…

Machine Learning · Computer Science 2025-10-17 Asma Jamali , Tin Sum Cheng , Rodrigo A. Vargas-Hernández

The problem of estimating the kernel mean in a reproducing kernel Hilbert space (RKHS) is central to kernel methods in that it is used by classical approaches (e.g., when centering a kernel PCA matrix), and it also forms the core inference…

Machine Learning · Statistics 2014-11-05 Krikamol Muandet , Bharath Sriperumbudur , Bernhard Schölkopf

Spectrum sensing, i.e., detecting the presence of primary users in a licensed spectrum, is a fundamental problem in cognitive radio. Since the statistical covariances of received signal and noise are usually different, they can be used to…

Information Theory · Computer Science 2016-09-08 Yonghong Zeng , Ying-Chang Liang

Kernel methods are powerful learning methodologies that allow to perform non-linear data analysis. Despite their popularity, they suffer from poor scalability in big data scenarios. Various approximation methods, including random feature…

Machine Learning · Statistics 2022-06-14 Bharath Sriperumbudur , Nicholas Sterge

Spectrum sensing is the major challenge in the cognitive radio (CR). We propose to learn local feature and use it as the prior knowledge to improve the detection performance. We define the local feature as the leading eigenvector derived…

Information Theory · Computer Science 2011-04-13 Peng Zhang , Robert Qiu

Spectral methods have been the mainstay in several domains such as machine learning and scientific computing. They involve finding a certain kind of spectral decomposition to obtain basis functions that can capture important structures for…

Machine Learning · Computer Science 2020-04-20 Majid Janzamin , Rong Ge , Jean Kossaifi , Anima Anandkumar

Kernel method in machine learning consists of encoding input data into a vector in a Hilbert space called the feature space and modeling the target function as a linear map on the feature space. Given a cost function, computing such an…

Quantum Physics · Physics 2022-10-18 Salman Beigi

Spectrum sensing is essential in cognitive radio. By defining leading \textit{eigenvector} as feature, we introduce a blind feature learning algorithm (FLA) and a feature template matching (FTM) algorithm using learned feature for spectrum…

Information Theory · Computer Science 2011-02-25 Peng Zhang , Robert Qiu , Nan Guo

In this paper, we study the spectrum and the eigenvectors of radial kernels for mixtures of distributions in $\mathbb{R}^n$. Our approach focuses on high dimensions and relies solely on the concentration properties of the components in the…

Machine Learning · Statistics 2020-01-07 David Cohen-Steiner , Alba Chiara de Vitis

Principal Component Analysis (PCA) is a widely used technique in machine learning, data analysis and signal processing. With the increase in the size and complexity of datasets, it has become important to develop low-space usage algorithms…

Machine Learning · Computer Science 2023-03-09 Yichuan Deng , Zhao Song , Zifan Wang , Han Zhang

Many statistical estimation techniques for high-dimensional or functional data are based on a preliminary dimension reduction step, which consists in projecting the sample $\bX_1, \hdots, \bX_n$ onto the first $D$ eigenvectors of the…

Statistics Theory · Mathematics 2010-04-26 Gérard Biau , André Mas

Spectrum sensing is an essential enabling functionality for cognitive radio networks to detect spectrum holes and opportunistically use the under-utilized frequency bands without causing harmful interference to legacy networks. This paper…

Information Theory · Computer Science 2016-11-18 Zhi Quan , Shuguang Cui , Ali H. Sayed , H. Vincent Poor

The kernel matrix used in kernel methods encodes all the information required for solving complex nonlinear problems defined on data representations in the input space using simple, but implicitly defined, solutions. Spectral analysis on…

Machine Learning · Computer Science 2020-10-26 Alexandros Iosifidis

Spectrum sensing is one of the means of utilizing the scarce source of wireless spectrum efficiently. In this paper, a convolutional neural network (CNN) model employing spectral correlation function which is an effective characterization…

Signal Processing · Electrical Eng. & Systems 2021-04-29 Kürşat Tekbıyık , Özkan Akbunar , Ali Rıza Ekti , Ali Görçin , Güneş Karabulut Kurt , Khalid A. Qaraqe

Kernel methods are an extremely popular set of techniques used for many important machine learning and data analysis applications. In addition to having good practical performances, these methods are supported by a well-developed theory.…

Machine Learning · Statistics 2015-04-23 Shiva Prasad Kasiviswanathan , Mark Rudelson
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