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We propose two related unsupervised clustering algorithms which, for input, take data assumed to be sampled from a uniform distribution supported on a metric space $X$, and output a clustering of the data based on the selection of a…

机器学习 · 计算机科学 2022-09-28 Antonio Rieser

Super-resolution (SR) is an ill-posed inverse problem which consists in proposing high-resolution images consistent with a given low-resolution one. While most SR algorithms are deterministic, stochastic SR deals with designing a stochastic…

图像与视频处理 · 电气工程与系统科学 2023-03-06 Emile Pierret , Bruno Galerne

We present a new framework for online Least Squares algorithms for nonlinear modeling in RKH spaces (RKHS). Instead of implicitly mapping the data to a RKHS (e.g., kernel trick), we map the data to a finite dimensional Euclidean space,…

机器学习 · 计算机科学 2016-06-14 Pantelis Bouboulis , Spyridon Pougkakiotis , Sergios Theodoridis

Random Fourier features (RFFs) provide a promising way for kernel learning in a spectral case. Current RFFs-based kernel learning methods usually work in a two-stage way. In the first-stage process, learning the optimal feature map is often…

机器学习 · 计算机科学 2024-01-17 Kun Fang , Fanghui Liu , Xiaolin Huang , Jie Yang

Kernel methods are applied to many problems in pattern recognition, including subspace clustering (SC). That way, nonlinear problems in the input data space become linear in mapped high-dimensional feature space. Thereby, computationally…

机器学习 · 计算机科学 2024-01-31 Ivica Kopriva

A technique for the enhancement of point targets in clutter is described. The local 3-D spectrum at each pixel is estimated recursively. An optical flow-field for the textured background is then generated using the 3-D autocorrelation…

计算机视觉与模式识别 · 计算机科学 2015-08-25 Hugh L. Kennedy

Existing detection methods commonly use a parameterized bounding box (BBox) to model and detect (horizontal) objects and an additional rotation angle parameter is used for rotated objects. We argue that such a mechanism has fundamental…

计算机视觉与模式识别 · 计算机科学 2022-09-23 Xue Yang , Gefan Zhang , Xiaojiang Yang , Yue Zhou , Wentao Wang , Jin Tang , Tao He , Junchi Yan

Kernel approximation via nonlinear random feature maps is widely used in speeding up kernel machines. There are two main challenges for the conventional kernel approximation methods. First, before performing kernel approximation, a good…

机器学习 · 统计学 2015-03-16 Felix X. Yu , Sanjiv Kumar , Henry Rowley , Shih-Fu Chang

Spectral clustering methods which are frequently used in clustering and community detection applications are sensitive to the specific graph constructions particularly when imbalanced clusters are present. We show that ratio cut (RCut) or…

机器学习 · 统计学 2016-11-18 Cem Aksoylar , Jing Qian , Venkatesh Saligrama

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

统计计算 · 统计学 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac mixture distribution. The density function can be smoothed…

机器学习 · 计算机科学 2019-09-24 Soheil Mehrabkhani

This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

图像与视频处理 · 电气工程与系统科学 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang

Kernel ridge regression (KRR) is a standard method for performing non-parametric regression over reproducing kernel Hilbert spaces. Given $n$ samples, the time and space complexity of computing the KRR estimate scale as $\mathcal{O}(n^3)$…

机器学习 · 统计学 2015-01-27 Yun Yang , Mert Pilanci , Martin J. Wainwright

The three areas of realistic forward rendering, per-pixel inverse rendering, and generative image synthesis may seem like separate and unrelated sub-fields of graphics and vision. However, recent work has demonstrated improved estimation of…

计算机视觉与模式识别 · 计算机科学 2024-05-02 Zheng Zeng , Valentin Deschaintre , Iliyan Georgiev , Yannick Hold-Geoffroy , Yiwei Hu , Fujun Luan , Ling-Qi Yan , Miloš Hašan

Remote sensing research focusing on feature selection has long attracted the attention of the remote sensing community because feature selection is a prerequisite for image processing and various applications. Different feature selection…

分布式、并行与集群计算 · 计算机科学 2017-04-13 Nhien-An Le-Khac , M-Tahar Kechadi , Bo Wu , C. Chen

In order to fully utilize "big data", it is often required to use "big models". Such models tend to grow with the complexity and size of the training data, and do not make strong parametric assumptions upfront on the nature of the…

机器学习 · 统计学 2015-04-17 Vikas Sindhwani , Haim Avron

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

机器学习 · 统计学 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

In this paper, we address the problem of classifying data within the radar reference window in terms of statistical properties. Specifically, we partition these data into statistically homogeneous subsets by identifying possible clutter…

信号处理 · 电气工程与系统科学 2023-02-17 Chaoran Yin , Linjie Yan , Chengpeng Hao , Silvia Liberata Ullo , Gaetano Giunta , Alfonso Farina , Danilo Orlando

Image segmentation is a fundamental step for the interpretation of Remote Sensing Images. Clustering or segmentation methods usually precede the classification task and are used as support tools for manual labeling. The most common…

计算机视觉与模式识别 · 计算机科学 2022-03-08 Kiran Mantripragada , Faisal Z. Qureshi

Recent non-linear feature selection approaches employing greedy optimisation of Centred Kernel Target Alignment(KTA) exhibit strong results in terms of generalisation accuracy and sparsity. However, they are computationally prohibitive for…

机器学习 · 计算机科学 2014-02-19 Dimitrios Athanasakis , John Shawe-Taylor , Delmiro Fernandez-Reyes