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In this paper, a Bayesian method for piecewise regression is adapted to handle counting processes data distributed as Poisson. A numerical code in Mathematica is developed and tested analyzing simulated data. The resulting method is…

Data Analysis, Statistics and Probability · Physics 2017-02-21 Diego Sevilla

Based on a novel dynamic Whittle likelihood approximation for locally stationary processes, a Bayesian nonparametric approach to estimating the time-varying spectral density is proposed. This dynamic frequency-domain based likelihood…

Methodology · Statistics 2023-03-22 Yifu Tang , Claudia Kirch , Jeong Eun Lee , Renate Meyer

PyamilySeq is a Python-based tool designed for interpretable gene clustering and pangenomic inference, supporting analyses at both species and genus levels. It facilitates the clustering of gene sequences into families based on sequence…

Genomics · Quantitative Biology 2024-07-30 Nicholas J. Dimonaco

Packet-dispersion based measurement tools insert pairs of probe packets with a known separation into the network for transmission over a unicast path or a multicast tree. Samples of the separation between the probe pairs at the…

Networking and Internet Architecture · Computer Science 2009-11-19 Bikash Kumar Dey , D. Manjunath , Supriyo Chakraborty

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

Data Analysis, Statistics and Probability · Physics 2022-12-14 Martin Heßler , Oliver Kamps

The robust detection of statistical dependencies between the components of a complex system is a key step in gaining a network-based understanding of the system. Because of their simplicity and low computation cost, pairwise statistics are…

Statistics Theory · Mathematics 2019-08-01 Antoine Messager , Nicos Georgiou , Luc Berthouze

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

Changepoint analysis deals with unsupervised detection and/or estimation of time-points in time-series data, when the distribution generating the data changes. In this article, we consider \emph{offline} changepoint detection in the context…

Computation and Language · Computer Science 2021-12-03 Avinandan Bose , Soumendu Sundar Mukherjee

A growing challenge in research and industrial engineering applications is the need for repeated, systematic analysis of large-scale computational models, for example, patient-specific digital twins of diseased human organs: The analysis…

Computational Engineering, Finance, and Science · Computer Science 2025-08-26 Jonas Biehler , Jonas Nitzler , Sebastian Brandstaeter , Maximilian Dinkel , Volker Gravemeier , Lea J. Haeusel , Gil Robalo Rei , Harald Willmann , Barbara Wirthl , Wolfgang A. Wall

We present a Bayesian non-parametric way of inferring stochastic differential equations for both regression tasks and continuous-time dynamical modelling. The work has high emphasis on the stochastic part of the differential equation, also…

Machine Learning · Statistics 2020-06-29 Martin Jørgensen , Marc Peter Deisenroth , Hugh Salimbeni

Non-stationary systems are found throughout the world, from climate patterns under the influence of variation in carbon dioxide concentration, to brain dynamics driven by ascending neuromodulation. Accordingly, there is a need for methods…

Data Analysis, Statistics and Probability · Physics 2024-07-15 Kieran S. Owens , Ben D. Fulcher

Ordinary Differential Equations (ODE) are used throughout science where the capture of rates of change in states is sought. While both pieces of commercial and open software exist to study such systems, their efficient and accurate usage…

Mathematical Software · Computer Science 2018-03-20 Edwin Tye , Tom Finnie , Ian Hall , Steve Leach

This paper presents a new Python library for anomaly detection in unsupervised learning approaches. The input for the library is a univariate time series representing observations of a given phenomenon. Then, it can identify anomalous…

Machine Learning · Computer Science 2022-10-18 Simona Bernardi , José Merseguer , Raúl Javierre

We present TurbuStat (v1.0): a Python package for computing turbulence statistics in spectral-line data cubes. TurbuStat includes implementations of fourteen methods for recovering turbulent properties from observational data. Additional…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Eric W. Koch , Erik W. Rosolowsky , Ryan D. Boyden , Blakesley Burkhart , Adam Ginsburg , Jason L. Loeppky , Stella S. R. Offner

Ptychography has become an indispensable tool for high-resolution, non-destructive imaging using coherent light sources. The processing of ptychographic data critically depends on robust, efficient, and flexible computational reconstruction…

We derive an exact and efficient Bayesian regression algorithm for piecewise constant functions of unknown segment number, boundary location, and levels. It works for any noise and segment level prior, e.g. Cauchy which can handle outliers.…

Statistics Theory · Mathematics 2007-06-13 Marcus Hutter

Dirichlet processes and their extensions have reached a great popularity in Bayesian nonparametric statistics. They have also been introduced for spatial and spatio-temporal data, as a tool to analyze and predict surfaces. A popular…

Statistics Theory · Mathematics 2023-03-31 Clara Grazian

The AMIDST Toolbox is a software for scalable probabilistic machine learning with a spe- cial focus on (massive) streaming data. The toolbox supports a flexible modeling language based on probabilistic graphical models with latent variables…

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information…

Methodology · Statistics 2018-02-23 Lynna Chu , Hao Chen

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

Methodology · Statistics 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard