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Machine learning models usually assume that a set of feature values used to obtain an output is fixed in advance. However, in many real-world problems, a cost is associated with measuring these features. To address the issue of reducing…

Machine Learning · Computer Science 2025-03-13 Katsumi Takahashi , Koh Takeuchi , Hisashi Kashima

Random projections offer an appealing and flexible approach to a wide range of large-scale statistical problems. They are particularly useful in high-dimensional settings, where we have many covariates recorded for each observation. In…

Methodology · Statistics 2019-11-26 Timothy I. Cannings

We here introduce indicator functions, which identify regions of a given density in order to characterize the density dependence of clustering. After a general introduction to this tool, we show that indicator-function power spectra are…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-05 Andrew Repp , István Szapudi

Indoor image features extraction is a fundamental problem in multiple fields such as image processing, pattern recognition, robotics and so on. Nevertheless, most of the existing feature extraction methods, which extract features based on…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Chiranjibi Sitaula , Yong Xiang , Yushu Zhang , Xuequan Lu , Sunil Aryal

We consider the problem of predicting a real random variable from a functional explanatory variable. The problem is attacked by mean of nonparametric kernel approach which has been recently adapted to this functional context. We derive…

Statistics Theory · Mathematics 2016-08-16 Frédéric Ferraty , André Mas , Philippe Vieu

This paper applies conformal prediction techniques to compute simultaneous prediction bands and clustering trees for functional data. These tools can be used to detect outliers and clusters. Both our prediction bands and clustering trees…

Machine Learning · Statistics 2013-02-27 Jing Lei , Alessandro Rinaldo , Larry Wasserman

Context. A variety of laboratory ice spectra simulating different chemical environments, ice morphology as well as thermal and energetic processing are demanded to provide an accurate interpretation of the infrared spectra of protostars. To…

Instrumentation and Methods for Astrophysics · Physics 2021-10-27 Will R. M. Rocha , Giulia Perotti , Lars E. Kristensen , Jes K. Jørgensen

Nowadays data sets are available in very complex and heterogeneous ways. Mining of such data collections is essential to support many real-world applications ranging from healthcare to marketing. In this work, we focus on the analysis of…

Artificial Intelligence · Computer Science 2015-04-10 Aleksey Buzmakov , Elias Egho , Nicolas Jay , Sergei O. Kuznetsov , Amedeo Napoli , Chedy Raïssi

Inter-subject parcellation of functional Magnetic Resonance Imaging (fMRI) data based on a standard General Linear Model (GLM)and spectral clustering was recently proposed as a means to alleviate the issues associated with spatial…

Computer Vision and Pattern Recognition · Computer Science 2010-07-05 Yongnan Ji , Pierre-Yves Herve , Uwe Aickelin , Alain Pitiot

Recently, a common starting point for solving complex unsupervised image classification tasks is to use generic features, extracted with deep Convolutional Neural Networks (CNN) pretrained on a large and versatile dataset (ImageNet).…

Computer Vision and Pattern Recognition · Computer Science 2021-01-11 Joris Guerin , Stephane Thiery , Eric Nyiri , Olivier Gibaru , Byron Boots

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…

Image and Video Processing · Electrical Eng. & Systems 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

In practice functional data are sampled on a discrete set of observation points and often susceptible to noise. We consider in this paper the setting where such data are used as explanatory variables in a regression problem. If the primary…

Methodology · Statistics 2021-12-14 Siegfried Hörmann , Fatima Jammoul

Infrared (IR) spectroscopy is a pivotal technique in chemical research for elucidating molecular structures and dynamics through vibrational and rotational transitions. However, the intricate molecular fingerprints characterized by unique…

Machine Learning · Computer Science 2024-02-06 Chengchun Liu , Fanyang Mo

A large number of different feature detectors has been proposed so far. Any existing approach presents strengths and weaknesses, which make a detector optimal only for a limited range of applications. A tool capable of selecting the optimal…

Computer Vision and Pattern Recognition · Computer Science 2016-05-20 Bruno Ferrarini , Shoaib Ehsan , Naveed Ur Rehman , Ales Leonardis , Klaus D. McDonald-Maier

Due to the complexity of cancer, clustering algorithms have been used to disentangle the observed heterogeneity and identify cancer subtypes that can be treated specifically. While kernel based clustering approaches allow the use of more…

Machine Learning · Statistics 2018-11-21 Nora K. Speicher , Nico Pfeifer

A robust and streamlined method is presented for efficiently extracting spectral diffusion from two-dimensional coherent spectra by employing the projection-slice theorem. The method is based on the optical Bloch equations for a single…

Optics · Physics 2025-10-30 Cesar Perez , Steven Cundiff

Spectral measurements in the infrared (IR) optical range provide unique fingerprints of materials which are useful for material analysis, environmental sensing, and health diagnostics. Current IR spectroscopy techniques require the use of…

Quantum Physics · Physics 2016-02-05 Dmitry A. Kalashnikov , Anna V. Paterova , Sergei P. Kulik , Leonid A. Krivitsky

The problem of individualized prediction can be addressed using variants of conformal prediction, obtaining the intervals to which the actual values of the variables of interest belong. Here we present a method based on detecting the…

Methodology · Statistics 2023-04-12 Fernando Delbianco , Fernando Tohmé

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

Methodology · Statistics 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang