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The well-scaled transition to the diffusion limit in the framework of the theory of continuous-time random walk (CTRW)is presented starting from its representation as an infinite series that points out the subordinated character of the CTRW…

Statistical Mechanics · Physics 2015-06-25 Rudolf Gorenflo , Francesco Mainardi , Alessandro Vivoli

Heatwaves are intensifying as a major climate extreme and have emerged as a growing public health threat in rapidly urbanizing regions such as India. In this study, we integrate long-term heat-related mortality records (1970-2023) with…

Bayesian Additive Regression Trees (BART) is a popular Bayesian non-parametric regression model that is commonly used in causal inference and beyond. Its strong predictive performance is supported by well-developed estimation theory,…

Machine Learning · Statistics 2026-02-10 Yan Shuo Tan , Omer Ronen , Theo Saarinen , Bin Yu

In this paper we deal with anomalous diffusions induced by Continuous Time Random Walks - CTRW in $\mathbb{R}^n$. A particle moves in $\mathbb{R}^n$ in such a way that the probability density function $u(\cdot,t)$ of finding it in region…

Analysis of PDEs · Mathematics 2016-05-27 Hugo Aimar , Gastón Beltritti , Ivana Gómez

For the first time, the diffusion phase diagram in highly confined colloidal systems, predicted by Continuous Time Random Walk (CTRW), is experimentally obtained. Temporal and spatial fractional exponents, $\alpha$ and $\mu$, introduced…

Disordered Systems and Neural Networks · Physics 2015-05-27 M. Palombo , A. Gabrielli , S. De Santis , C. Cametti , G. Ruocco , S. Capuani

We propose a Bayesian hierarchical model to simultaneously estimate mean based changepoints in spatially correlated functional time series. Unlike previous methods that assume a shared changepoint at all spatial locations or ignore spatial…

Methodology · Statistics 2022-01-11 Mengchen Wang , Trevor Harris , Bo Li

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Many physical processes involve spatio-temporal observations, which can be studied at different spatial and temporal scales. For example, rainfall data measured daily by rain gauges can be considered at daily, monthly or annual temporal…

Applications · Statistics 2017-11-02 Adway Mitra

The damped random walk (DRW) model is increasingly used to model the variability in quasar optical light curves, but it is still uncertain whether the DRW model provides an adequate description of quasar optical variability across all time…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-25 Ying Zu , C. S. Kochanek , Szymon Kozłowski , Andrzej Udalski

We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on…

Applications · Statistics 2016-02-25 Stefano Castruccio , Joseph Guinness

Assessing the consistency between short-term global temperature trends in observations and climate model projections is a challenging problem. While climate models capture many processes governing short-term climate fluctuations, they are…

Atmospheric and Oceanic Physics · Physics 2013-09-23 Patrick J. Michaels , Paul C. Knappenberger , John R. Christy , Chad S. Herman , Lucia M. Liljegren , James D. Annan

Earth's temperature variability can be partitioned into internal and externally-forced components. Yet, underlying mechanisms and their relative contributions remain insufficiently understood, especially on decadal to centennial timescales.…

Atmospheric and Oceanic Physics · Physics 2023-02-01 Maybritt Schillinger , Beatrice Ellerhoff , Robert Scheichl , Kira Rehfeld

Temperature and rainfall have a significant impact on economic growth as well as the outbreak of seasonal diseases in a region. In spite of that inadequate studies have been carried out for analyzing the weather pattern of Bangladesh…

As climate change drives an increase in global extremes, it is critical for Bangladesh, a nation highly vulnerable to these impacts, to assess future risks for effective adaptation and mitigation planning. Downscaling coarse-resolution…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Anamitra Saha , Sai Ravela

Detecting extreme events in large datasets is a major challenge in climate science research. Current algorithms for extreme event detection are build upon human expertise in defining events based on subjective thresholds of relevant…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Yunjie Liu , Evan Racah , Prabhat , Joaquin Correa , Amir Khosrowshahi , David Lavers , Kenneth Kunkel , Michael Wehner , William Collins

Accurate estimation of the human circadian phase plays an important role in personalized health monitoring, but most existing wearable-based approaches operate retrospectively and require full circadian cycle recordings, leading to high…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Mengzhu Xu , Nemanja Cabrilo , Merel van Gilst , Jean-Paul Linnartz

We propose a new framework for the simultaneous inference of monotone and smoothly time-varying functions under complex temporal dynamics. This will be done utilizing the monotone rearrangement and the nonparametric estimation. We…

Statistics Theory · Mathematics 2025-08-20 Tianpai Luo , Weichi Wu

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

Applications · Statistics 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

The Atmospheric Radiation Measurement program is a U.S. Department of Energy project that collects meteorological observations at several locations around the world in order to study how weather processes affect global climate change. As…

Applications · Statistics 2013-12-02 Joseph Guinness , Michael L. Stein

In this paper, we introduce a novel framework using inhomogeneous Branching Random Walks (BRWs) to model growth processes, specifically introducing genealogy-dependence in branching rates and displacement distributions to model phenomena…

Populations and Evolution · Quantitative Biology 2025-12-11 Lauren Ajax , Beatrice Durham , Pratima Hebbar , Cade Johnson , Jiayi Zhang