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Health data are often not symmetric to be adequately modeled through the usual normal distributions; most of them exhibit skewed patterns. They can indeed be modeled better through the larger family of skew-normal distributions covering…

Applications · Statistics 2019-09-24 Amarnath Nandy , Ayanendranath Basu , Abhik Ghosh

Distance queries are a basic tool in data analysis. They are used for detection and localization of change for the purpose of anomaly detection, monitoring, or planning. Distance queries are particularly useful when data sets such as…

Data Structures and Algorithms · Computer Science 2015-03-20 Edith Cohen

Anomaly detection has important applications in biosurveilance and environmental monitoring. When comparing measured data to data drawn from a baseline distribution, merely, finding clusters in the measured data may not actually represent…

Computational Geometry · Computer Science 2016-08-31 Deepak Agarwal , Jeff M. Phillips , Suresh Venkatasubramanian

Many aspects of the historical relationships between populations in a species are reflected in genetic data. Inferring these relationships from genetic data, however, remains a challenging task. In this paper, we present a statistical model…

Populations and Evolution · Quantitative Biology 2012-11-20 Joseph K. Pickrell , Jonathan K. Pritchard

Anomalies (unusual patterns) in time-series data give essential, and often actionable information in critical situations. Examples can be found in such fields as healthcare, intrusion detection, finance, security and flight safety. In this…

Applications · Statistics 2016-08-17 Evgeny Burnaev , Vladislav Ishimtsev

The consistency of the species abundance distribution across diverse communities has attracted widespread attention. In this paper, I argue that the consistency of pattern arises because diverse ecological mechanisms share a common symmetry…

Populations and Evolution · Quantitative Biology 2011-02-28 Steven A. Frank

The nature of galaxy spin is still not fully known. Iye et al (2021) applied a 3D analysis to a dataset of bright SDSS galaxies that was used in the past for photometric analysis. They showed that the distribution of spin directions of…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 Lior Shamir

Phylogenies (ancestry trees) depict the evolutionary history of an evolving population. In evolutionary computing, a phylogeny can reveal how an evolutionary algorithm steers a population through a search space, illuminating the…

Neural and Evolutionary Computing · Computer Science 2023-06-08 Alexander Lalejini , Matthew Andres Moreno , Jose Guadalupe Hernandez , Emily Dolson

Anomaly detection under open-set scenario is a challenging task that requires learning discriminative fine-grained features to detect anomalies that were even unseen during training. As a cheap yet effective approach, data augmentation has…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Jianan Ye , Yijie Hu , Xi Yang , Qiu-Feng Wang , Chao Huang , Kaizhu Huang

In this work we present a systematic mathematical approximation scheme that exposes the way that information, about the evolutionary forces of selection and random genetic drift, is encoded in gene-frequency trajectories. We determine…

Populations and Evolution · Quantitative Biology 2023-05-26 Konstantinos Mavreas , David Waxman

The site frequency spectrum (SFS) is a popular summary statistic of genomic data. While the SFS of a constant-sized population undergoing neutral mutations has been extensively studied in population genetics, the rapidly growing amount of…

Populations and Evolution · Quantitative Biology 2021-10-22 Einar Bjarki Gunnarsson , Kevin Leder , Jasmine Foo

Genetic variation in human populations is influenced by geographic ancestry due to spatial locality in historical mating and migration patterns. Spatial population structure in genetic datasets has been traditionally analyzed using either…

Populations and Evolution · Quantitative Biology 2016-10-26 Anand Bhaskar , Adel Javanmard , Thomas A. Courtade , David Tse

We consider the problem of detecting anomalies in the directional distribution of fibre materials observed in 3D images. We divide the image into a set of scanning windows and classify them into two clusters: homogeneous material and…

The sample frequency spectrum (SFS), which describes the distribution of mutant alleles in a sample of DNA sequences, is a widely used summary statistic in population genetics. The expected SFS has a strong dependence on the historical…

Populations and Evolution · Quantitative Biology 2017-12-19 Zvi Rosen , Anand Bhaskar , Sebastien Roch , Yun S. Song

Synchronized measurements of a large power grid enable an unprecedented opportunity to study the spatialtemporal correlations. Statistical analytics for those massive datasets start with high-dimensional data matrices. Uncertainty is…

Applications · Statistics 2018-02-13 Zenan Ling , Robert C. Qiu , Xing He , Lei Chu

While measurement advances now allow extensive surveys of gene activity (large numbers of genes across many samples), interpretation of these data is often confounded by noise -- expression counts can differ strongly across samples due to…

Permutation patterns-based approaches, such as permutation entropy (PerEn), have been widely and successfully used to analyze data. However, these methods have two main shortcomings. First, when a series is symbolized based on permutation…

Information Theory · Computer Science 2017-08-04 Hamed Azami , Javier Escudero

Anomaly detection in random fields is an important problem in many applications including the detection of cancerous cells in medicine, obstacles in autonomous driving and cracks in the construction material of buildings. Such anomalies are…

Statistics Theory · Mathematics 2023-11-17 Claudia Kirch , Philipp Klein , Marco Meyer

The main subject of this paper is the sensing of network anomalies that span from harmless impedance changes at some network termination to more or less pronounced electrical faults, considering also cable degradation over time. In this…

Signal Processing · Electrical Eng. & Systems 2019-02-21 Federico Passerini , Andrea M. Tonello

The ability to detect change-points in a dynamic network or a time series of graphs is an increasingly important task in many applications of the emerging discipline of graph signal processing. This paper formulates change-point detection…

Applications · Statistics 2023-07-19 Heng Wang , Minh Tang , Youngser Park , Carey E. Priebe