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We propose a novel Bayesian methodology for inference in functional linear and logistic regression models based on the theory of reproducing kernel Hilbert spaces (RKHS's). We introduce general models that build upon the RKHS generated by…

Methodology · Statistics 2025-09-09 José R. Berrendero , Antonio Coín , Antonio Cuevas

Superpixel segmentation is becoming ubiquitous in computer vision. In practice, an object can either be represented by a number of segments in finer levels of detail or included in a surrounding region at coarser levels of detail, and thus…

Computer Vision and Pattern Recognition · Computer Science 2016-05-23 Xing Wei , Qingxiong Yang , Yihong Gong , Ming-Hsuan Yang , Narendra Ahuja

Due to its high spatial and spectral information content, hyperspectral imaging opens up new possibilities for a better understanding of data and scenes in a wide variety of applications. An essential part of this process of understanding…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Songuel Polat , Alain Tremeau , Frank Boochs

The goal of this paper is the development of a novel approach for the problem of Noise Removal, based on the theory of Reproducing Kernels Hilbert Spaces (RKHS). The problem is cast as an optimization task in a RKHS, by taking advantage of…

Computer Vision and Pattern Recognition · Computer Science 2010-11-30 Pantelis Bouboulis , Sergios Theodoridis

In this work we consider the problem of numerical integration, i.e., approximating integrals with respect to a target probability measure using only pointwise evaluations of the integrand. We focus on the setting in which the target…

Machine Learning · Statistics 2025-06-17 Antoine Chatalic , Nicolas Schreuder , Ernesto De Vito , Lorenzo Rosasco

In this paper we consider the problem of joint segmentation of hyperspectral images in the Bayesian framework. The proposed approach is based on a Hidden Markov Modeling (HMM) of the images with common segmentation, or equivalently with…

Data Analysis, Statistics and Probability · Physics 2007-08-23 Adel Mohammadpour , Olivier Féron , Ali Mohammad-Djafari

We introduce a regularization loss based on kernel mean embeddings with rotation-invariant kernels on the hypersphere (also known as dot-product kernels) for self-supervised learning of image representations. Besides being fully competitive…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Léon Zheng , Gilles Puy , Elisa Riccietti , Patrick Pérez , Rémi Gribonval

The lack of proper class discrimination among the Hyperspectral (HS) data points poses a potential challenge in HS classification. To address this issue, this paper proposes an optimal geometry-aware transformation for enhancing the…

Machine Learning · Computer Science 2018-07-10 Ramanarayan Mohanty , S L Happy , Aurobinda Routray

The Hyperspectral image (HSI) classification is a standard remote sensing task, in which each image pixel is given a label indicating the physical land-cover on the earth's surface. The achievements of image semantic segmentation and deep…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Divinah Nyasaka , Jing Wang , Haron Tinega

In this paper, we propose an unsupervised method for hyperspectral remote sensing image segmentation. The method exploits the mean-shift clustering algorithm that takes as input a preliminary hyperspectral superpixels segmentation together…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Mirko Paolo Barbato , Paolo Napoletano , Flavio Piccoli , Raimondo Schettini

We propose a new, nonparametric approach to estimating the value function in reinforcement learning. This approach makes use of a recently developed representation of conditional distributions as functions in a reproducing kernel Hilbert…

Machine Learning · Computer Science 2012-10-19 Steffen Grünewälder , Luca Baldassarre , Massimiliano Pontil , Arthur Gretton , Guy Lever

Hyperspectral signature classification is a quantitative analysis approach for hyperspectral imagery which performs detection and classification of the constituent materials at the pixel level in the scene. The classification procedure can…

Computer Vision and Pattern Recognition · Computer Science 2016-04-11 Siwei Feng , Yuki Itoh , Mario Parente , Marco F. Duarte

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

Hyperspectral super-resolution (HSR) is a problem that aims to estimate an image of high spectral and spatial resolutions from a pair of co-registered multispectral (MS) and hyperspectral (HS) images, which have coarser spectral and spatial…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Ruiyuan Wu , Wing-Kin Ma , Xiao Fu , Qiang Li

Semantic segmentation, like other fields of computer vision, has seen a remarkable performance advance by the use of deep convolution neural networks. However, considering that neighboring pixels are heavily dependent on each other, both…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Hyojin Park , Jisoo Jeong , Youngjoon Yoo , Nojun Kwak

We present a method for hyperspectral pixel {\it unmixing}. The proposed method assumes that (1) {\it abundances} can be encoded as Dirichlet distributions and (2) spectra of {\it endmembers} can be represented as multivariate Normal…

Image and Video Processing · Electrical Eng. & Systems 2024-02-07 Kiran Mantripragada , Faisal Z. Qureshi

Hyperspectral target detection is a pixel-level recognition problem. Given a few target samples, it aims to identify the specific target pixels such as airplane, vehicle, ship, from the entire hyperspectral image. In general, the background…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Can Yao , Yuan Yuan , Zhiyu Jiang

Traditional machine learning models, particularly neural networks, are rooted in finite-dimensional parameter spaces and nonlinear function approximations. This report explores an alternative formulation where learning tasks are expressed…

Machine Learning · Computer Science 2025-07-30 Andrew Kiruluta , Andreas Lemos , Priscilla Burity

Several approaches have been proposed to solve the spectral unmixing problem in hyperspectral image analysis. Among them the use of sparse regression techniques aims to characterize the abundances in pixels based on a large library of…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi

We propose a novel adaptive learning algorithm based on iterative orthogonal projections in the Cartesian product of multiple reproducing kernel Hilbert spaces (RKHSs). The task is estimating/tracking nonlinear functions which are supposed…

Machine Learning · Computer Science 2015-10-28 Masahiro Yukawa