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To make informed decisions in natural environments that change over time, humans must update their beliefs as new observations are gathered. Studies exploring human inference as a dynamical process that unfolds in time have focused on…

Neurons and Cognition · Quantitative Biology 2022-03-03 Arthur Prat-Carrabin , Robert C. Wilson , Jonathan D. Cohen , Rava Azeredo da Silveira

Natural climate variability, captured through multiple initial condition ensembles, may be comparable to the variability caused by knowledge gaps in future emissions trajectories and in the physical science basis, especially at…

Applications · Statistics 2019-06-24 Udit Bhatia , Auroop Ratan Ganguly

Determining accurately when regime and structural changes occur in various time-series data is critical in many social and natural sciences. We develop and show further the equivalence of two consistent estimation techniques in locating the…

Statistics Theory · Mathematics 2017-05-31 Fuqi Chen , Rogemar Mamon , Severien Nkurunziza

Holocene (the last 12,000 years) temperature variation, including the transition out of the last Ice Age to a warmer climate, is reconstructed at multiple locations in southern Finland, Sweden and Estonia based on pollen fossil data from…

Applications · Statistics 2015-11-06 Lasse Holmström , Liisa Ilvonen , Heikki Seppä , Siim Veski

A new family of tree models is proposed, which we call "differential trees." A differential tree model is constructed from multiple data sets and aims to detect distributional differences between them. The new methodology differs from the…

Methodology · Statistics 2012-10-01 Yong Wang , Ilze Ziedins , Mark Holmes , Neil Challands

We propose lacunarity as a novel recurrence quantification measure and illustrate its efficacy to detect dynamical regime transitions which are exhibited by many complex real-world systems. We carry out a recurrence plot based analysis for…

Data Analysis, Statistics and Probability · Physics 2021-01-26 Tobias Braun , Vishnu R. Unni , R. I. Sujith , Juergen Kurths , Norbert Marwan

This work develops techniques for the sequential detection and location estimation of transient changes in the volatility (standard deviation) of time series data. In particular, we introduce a class of change detection algorithms based on…

Systems and Control · Computer Science 2017-12-29 Alireza Ahrabian , Nazli Farajidavar , Clive Cheong-Took , Payam Barnaghi

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

When a spatial process is recorded over time and the observation at a given time instant is viewed as a point in a function space, the result is a time series taking values in a Banach space. To study the spatio-temporal extremal dynamics…

Probability · Mathematics 2010-01-20 Thomas Meinguet , Johan Segers

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

Deep generative models for anomaly detection in multivariate time-series are typically trained by maximizing data likelihood. However, likelihood in observation space measures marginal density rather than conformity to structured temporal…

Artificial Intelligence · Computer Science 2026-03-13 David Baumgartner , Eliezer de Souza da Silva , Iñigo Urteaga

The provision of accurate methods for predicting the climate response to anthropogenic and natural forcings is a key contemporary scientific challenge. Using a simplified and efficient open-source general circulation model of the atmosphere…

Atmospheric and Oceanic Physics · Physics 2016-05-25 Valerio Lucarini , Frank Lunkeit , Francesco Ragone

Change detection in heterogeneous multitemporal satellite images is a challenging and still not much studied topic in remote sensing and earth observation. This paper focuses on comparison of image pairs covering the same geographical area…

Computer Vision and Pattern Recognition · Computer Science 2017-02-13 Luigi Tommaso Luppino , Stian Normann Anfinsen , Gabriele Moser , Robert Jenssen , Filippo Maria Bianchi , Sebastiano Serpico , Gregoire Mercier

We present a method that models the evolution of an unbounded number of time series clusters by switching among an unknown number of regimes with linear dynamics. We develop a Bayesian non-parametric approach using a hierarchical Dirichlet…

Machine Learning · Statistics 2025-10-09 Adrián Pérez-Herrero , Paulo Félix , Jesús Presedo , Carl Henrik Ek

Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

Dynamical Systems · Mathematics 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

Change-point processes are one flexible approach to model long time series. We propose a method to uncover which model parameter truly vary when a change-point is detected. Given a set of breakpoints, we use a penalized likelihood approach…

Econometrics · Economics 2024-02-09 Arnaud Dufays , Aristide Houndetoungan , Alain Coën

Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

Numerical Analysis · Mathematics 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

Physics and Society · Physics 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Analyzing data from paleoclimate archives such as tree rings or lake sediments offers the opportunity of inferring information on past climate variability. Often, such data sets are univariate and a proper reconstruction of the system's…

Data Analysis, Statistics and Probability · Physics 2018-08-29 Jaqueline Lekscha , Reik V. Donner

Recurrence plot based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. However, most studies do not discuss the significance of the…

Chaotic Dynamics · Physics 2013-06-05 Norbert Marwan , Stefan Schinkel , Jürgen Kurths
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