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Commonly-used clustering algorithms usually find ellipsoidal, spherical or other regular-structured clusters, but are more challenged when the underlying groups lack formal structure or definition. Syncytial clustering is the name that we…

Methodology · Statistics 2020-07-30 Israel Almodóvar-Rivera , Ranjan Maitra

Multiple kernel learning (MKL) method is generally believed to perform better than single kernel method. However, some empirical studies show that this is not always true: the combination of multiple kernels may even yield an even worse…

Machine Learning · Statistics 2018-06-21 Zhao Kang , Xiao Lu , Jinfeng Yi , Zenglin Xu

Spectral clustering (SC) and graph-based semi-supervised learning (SSL) algorithms are sensitive to how graphs are constructed from data. In particular if the data has proximal and unbalanced clusters these algorithms can lead to poor…

Machine Learning · Statistics 2013-02-22 Jing Qian , Venkatesh Saligrama

Kernel smooth is the most fundamental technique for data density and regression estimation. However, time-consuming is the biggest obstacle for the application that the direct evaluation of kernel smooth for $N$ samples needs ${O}\left(…

Methodology · Statistics 2022-04-19 Ying Wang , Min Li , Deirel Paz-Linares , Maria L. Bringas Vega , Pedro A. Valdés-Sosa

We tackle the panoptic segmentation problem with a conditional random field (CRF) model. Panoptic segmentation involves assigning a semantic label and an instance label to each pixel of a given image. At each pixel, the semantic label and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Sadeep Jayasumana , Kanchana Ranasinghe , Mayuka Jayawardhana , Sahan Liyanaarachchi , Harsha Ranasinghe

We consider the problem of clustering a sample of probability distributions from a random distribution on $\mathbb R^p$. Our proposed partitioning method makes use of a symmetric, positive-definite kernel $k$ and its associated reproducing…

Machine Learning · Statistics 2025-09-23 Amparo Baíllo , Jose R. Berrendero , Martín Sánchez-Signorini

Rahimi and Recht (2007) introduced the idea of decomposing positive definite shift-invariant kernels by randomly sampling from their spectral distribution for machine learning applications. This famous technique, known as Random Fourier…

Machine Learning · Computer Science 2026-02-24 Nicolas Langrené , Xavier Warin , Pierre Gruet

Kernel method is a very powerful tool in machine learning. The trick of kernel has been effectively and extensively applied in many areas of machine learning, such as support vector machine (SVM) and kernel principal component analysis…

Networking and Internet Architecture · Computer Science 2011-05-17 Shujie Hou , Robert C. Qiu

The popular qubit framework has dominated recent work on quantum kernel machine learning, with results characterising expressivity, learnability and generalisation. As yet, there is no comparative framework to understand these concepts for…

Quantum Physics · Physics 2024-12-18 Laura J. Henderson , Rishi Goel , Sally Shrapnel

The high dimensionality of hyperspectral images consisting of several bands often imposes a big computational challenge for image processing. Therefore, spectral band selection is an essential step for removing the irrelevant, noisy and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 A. Elmaizi , E. Sarhrouni , A. Hammouch , C. Nacir

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

Machine Learning · Computer Science 2018-11-02 Yaqiang Yao , Huanhuan Chen

In this paper, we present a novel unsupervised feature learning architecture, which consists of a multi-clustering integration module and a variant of RBM termed multi-clustering integration RBM (MIRBM). In the multi-clustering integration…

Machine Learning · Computer Science 2020-04-03 Jielei Chu , Hongjun Wang , Jing Liu , Zhiguo Gong , Tianrui Li

Kernel segmentation aims at partitioning a data sequence into several non-overlapping segments that may have nonlinear and complex structures. In general, it is formulated as a discrete optimization problem with combinatorial constraints. A…

Machine Learning · Computer Science 2022-06-23 Tung Doan , Atsuhiro Takasu

The compositionality and sparsity of high-throughput sequencing data poses a challenge for regression and classification. However, in microbiome research in particular, conditional modeling is an essential tool to investigate relationships…

Machine Learning · Statistics 2023-07-19 Shimeng Huang , Elisabeth Ailer , Niki Kilbertus , Niklas Pfister

Cross-resolution face recognition (CRFR), which is important in intelligent surveillance and biometric forensics, refers to the problem of matching a low-resolution (LR) probe face image against high-resolution (HR) gallery face images.…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Guangwei Gao , Yi Yu , Jian Yang , Guo-Jun Qi , Meng Yang

The use of hierarchical Conditional Random Field model deal with the problem of labeling images . At the time of labeling a new image, selection of the nearest cluster and using the related CRF model to label this image. When one give input…

Computer Vision and Pattern Recognition · Computer Science 2012-01-19 Manoj K. Vairalkar , Sonali. Nimbhorkar

Inference from tabular data, collections of continuous and categorical variables organized into matrices, is a foundation for modern technology and science. Yet, in contrast to the explosive changes in the rest of AI, the best practice for…

Machine Learning · Computer Science 2026-04-07 Daniel Beaglehole , David Holzmüller , Adityanarayanan Radhakrishnan , Mikhail Belkin

Functional regression is very crucial in functional data analysis and a linear relationship between scalar response and functional predictor is often assumed. However, the linear assumption may not hold in practice, which makes the methods…

Methodology · Statistics 2023-01-18 Rou Zhong , Dongxue Wang , Jingxiao Zhang

This paper presented a face detection system using Radial Basis Function Neural Networks With Fixed Spread Value. Face detection is the first step in face recognition system. The purpose is to localize and extract the face region from the…

Computer Vision and Pattern Recognition · Computer Science 2014-10-09 K. A. A. Aziz , S. S. Abdullah

The Nystr\"om methods have been popular techniques for scalable kernel based learning. They approximate explicit, low-dimensional feature mappings for kernel functions from the pairwise comparisons with the training data. However, Nystr\"om…

Machine Learning · Computer Science 2018-05-21 Mert Al , Thee Chanyaswad , Sun-Yuan Kung