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A new thresholding strategy for the estimation of a deterministic image immersed in noise is introduced. The threshold is combined with a wavelet decomposition, where the wavelet coefficient of the image at any fixed value of the…

Statistics Theory · Mathematics 2010-05-10 S. C. Olhede

We present two methods for reducing multidimensional information to one dimension for ease of understand or analysis while maintaining statistical power. While not new, dimensional reduction is not greatly used in high-energy physics and…

Data Analysis, Statistics and Probability · Physics 2015-05-14 Mario Campanelli , William Murray

With the advent of 5G, mobile networks are becoming more dynamic and will therefore present a wider attack surface. To secure these new systems, we propose a multi-domain anomaly detection method that is distinguished by the study of…

Networking and Internet Architecture · Computer Science 2025-06-17 Thomas Hoger , Philippe Owezarski

Image segmentation is an essential component in many image processing and computer vision tasks. The primary goal of image segmentation is to simplify an image for easier analysis, and there are two broad approaches for achieving this: edge…

Computer Vision and Pattern Recognition · Computer Science 2021-12-24 J. N. Mueller , J. N. Corcoran

This paper presents a method to detect and recognize symmetries in Boolean functions. The idea is to use information theoretic measures of Boolean functions to detect sub-space of possible symmetric variables. Coupled with the new…

Other Computer Science · Computer Science 2007-10-15 Denis V. Popel

Using the 2MASS Photometric Redshift catalogue we perform a number of statistical tests aimed at detecting possible departures from statistical homogeneity and isotropy in the large-scale structure of the Universe. Making use of the angular…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 David Alonso , Ana Isabel Salvador , Francisco Javier Sánchez , Maciej Bilicki , Juan García-Bellido , Eusebio Sánchez

Anomaly detection (AD) in a surveillance scenario is an emerging and challenging field of research. For autonomous vehicles like drones or cars, it is immensely important to distinguish between normal and abnormal states in real-time.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Sayeed Shafayet Chowdhury , Kazi Mejbaul Islam , Rouhan Noor

Detecting traversable road areas ahead a moving vehicle is a key process for modern autonomous driving systems. A common approach to road detection consists of exploiting color features to classify pixels as road or background. These…

Computer Vision and Pattern Recognition · Computer Science 2014-12-19 Jose M. Alvarez , Theo Gevers , Antonio M. Lopez

An image line segment is a fundamental low-level visual feature that delineates straight, slender, and uninterrupted portions of objects and scenarios within images. Detection and description of line segments lay the basis for numerous…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Xinyu Lin , Yingjie Zhou , Yipeng Liu , Ce Zhu

Fractals are geometric shapes that can display complex and self-similar patterns found in nature (e.g., clouds and plants). Recent works in visual recognition have leveraged this property to create random fractal images for model…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Cheng-Hao Tu , Hong-You Chen , David Carlyn , Wei-Lun Chao

Colloidal systems offer unique opportunities for the study of phase formation and structure since their characteristic length scales are accessible to visible light. As a model system the two dimensional assembly of colloidal magnetic and…

Soft Condensed Matter · Physics 2018-11-12 Hauke Carstensen , Vassilios Kapaklis , Max Wolff

The number of studies for the analysis of remote sensing images has been growing exponentially in the last decades. Many studies, however, only report results---in the form of certain performance metrics---by a few selected algorithms on a…

Applications · Statistics 2020-01-07 Donghui Yan , Congcong Li , Na Cong , Le Yu , Peng Gong

Image segmentation is an important task in the domain of computer vision and medical imaging. In natural and medical images, intensity inhomogeneity, i.e. the varying image intensity, occurs often and it poses considerable challenges for…

Image and Video Processing · Electrical Eng. & Systems 2019-04-04 Raymond Chan , Hongfei Yang , Tieyong Zeng

We derive the sampling probability density function (pdf) of an ideal localized random electromagnetic field, its amplitude and intensity in an electromagnetic environment that is quasi-statically time-varying statistically homogeneous or…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 L. R. Arnaut

In recent years many procedures have been proposed to check the anisotropy of a dataset. We present a new simple procedure, based on a scale dependent approach, to detect anisotropy signatures in a given distribution with particular…

Instrumentation and Methods for Astrophysics · Physics 2017-08-23 M. Scuderi , M. De Domenico , A. Insolia , H. Lyberis

An important step of modeling spatially-referenced data is appropriately specifying the second order properties of the random field. A scientist developing a model for spatial data has a number of options regarding the nature of the…

Computation · Statistics 2015-11-17 Zachary D. Weller

This paper presents a fully unsupervised approach for binary road segmentation (road vs. non-road), eliminating the reliance on costly manually labeled datasets. The method leverages scene geometry and temporal cues to distinguish road from…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Sara Hatami Rostami , Behrooz Nasihatkon

A method based upon the statistical evaluation of the differentiability of the measure along the trajectory is used to identify in high dimensional systems. The results show that the method is suitable for discriminating stochastic from…

Chaotic Dynamics · Physics 2007-05-23 Guillermo Ortega , Cristian Degli Esposti Boschi , Enrique Louis

We study the problem of identifying different behaviors occurring in different parts of a large heterogenous network. We zoom in to the network using lenses of different sizes to capture the local structure of the network. These network…

Social and Information Networks · Computer Science 2019-01-29 Kshiteesh Hegde , Malik Magdon-Ismail

A method is proposed, based on scan statistics, to detect, identify, and localize illicit radiological material using mobile sensors in an urban environment. Our method handles varying levels of background radiation that change according to…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Michael D. Porter , Alphonse Akakpo