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This paper develops a novel change point identification method for high-dimensional data using random projections. By projecting high-dimensional time series into a one-dimensional space, we are able to leverage the rich literature for…

Methodology · Statistics 2026-03-04 Yi Xu , Yeonwoo Rho

In recent years, great progress has been made in the field of forecasting meteorological variables. Recently, deep learning architectures have made a major breakthrough in forecasting the daily average temperature over a ten-day horizon.…

We develop algorithms for detecting multiple changepoints in functional data when the number of changepoints is unknown (unsupervised case), when it is specified apriori (supervised case), and when certain bounds are available…

Methodology · Statistics 2025-11-19 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

Methodology · Statistics 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

Currently, the issue that concerns the world leaders most is climate change for its effect on agriculture, environment and economies of daily life. So, to combat this, temperature prediction with strong accuracy is vital. So far, the most…

Machine Learning · Computer Science 2023-09-26 Wasiou Jaharabi , MD Ibrahim Al Hossain , Rownak Tahmid , Md. Zuhayer Islam , T. M. Saad Rayhan

The climate change attribution problem is addressed using empirical decomposition. Cycles in solar motion and activity of 60 and 20 years were used to develop an empirical model of Earth temperature variations. The model was fit to the…

Geophysics · Physics 2012-06-27 Craig Loehle , Nicola Scafetta

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

Methodology · Statistics 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

Methodology · Statistics 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

Weather station data is a valuable resource for climate prediction, however, its reliability can be limited in remote locations. To compound the issue, making local predictions often relies on sensor data that may not be accessible for a…

Machine Learning · Computer Science 2024-01-08 Iman Deznabi , Peeyush Kumar , Madalina Fiterau

Time series forecasting in real-world applications requires both high predictive accuracy and interpretable uncertainty quantification. Traditional point prediction methods often fail to capture the inherent uncertainty in time series data,…

Machine Learning · Computer Science 2026-02-05 Zhen Zhou , Zhirui Wang , Qi Hong , Yunyang Shi , Ziyuan Gu , Zhiyuan Liu

We study the problem of learning mixtures of linear dynamical systems (MLDS) from input-output data. The mixture setting allows us to leverage observations from related dynamical systems to improve the estimation of individual models.…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Maryann Rui , Munther Dahleh

This paper presents an innovative method using Latent Diffusion Models (LDMs) to generate temperature fields from phase indicator maps. By leveraging the BubbleML dataset from numerical simulations, the LDM translates phase field data into…

Fluid Dynamics · Physics 2025-01-29 UngJin Na , JunYoung Seo , Taeil Kim , ByongGuk Jeon , HangJin Jo

Information-processing systems that coordinate multiple agents and objectives face fundamental thermodynamic constraints. We show that solutions with maximum utility to act as coordination focal points have a much higher selection pressure…

Artificial Intelligence · Computer Science 2025-10-16 Atma Anand

This is an up-to-date introduction to and overview of the Minimum Description Length (MDL) Principle, a theory of inductive inference that can be applied to general problems in statistics, machine learning and pattern recognition. While MDL…

Methodology · Statistics 2019-12-19 Peter Grünwald , Teemu Roos

The detection of change-points in a spatially or time ordered data sequence is an important problem in many fields such as genetics and finance. We derive the asymptotic distribution of a statistic recently suggested for detecting…

Statistics Theory · Mathematics 2015-10-01 Gérard Biau , Kevin Bleakley , David Mason

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

Methodology · Statistics 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

Transfer Learning (TL) is currently the most effective approach for modeling building thermal dynamics when only limited data are available. TL uses a pretrained model that is fine-tuned to a specific target building. However, it remains…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Fabian Raisch , Max Langtry , Felix Koch , Ruchi Choudhary , Christoph Goebel , Benjamin Tischler

Unsupervised machine learning methods are used to identify structural changes using the melting point transition in classical molecular dynamics simulations as an example application of the approach. Dimensionality reduction and clustering…

Computational Physics · Physics 2018-12-06 Nicholas Walker , Ka-Ming Tam , Brian Novak , M. Jarrell

We identify a new "order parameter" for the disorder driven many-body localization (MBL) transition by leveraging artificial intelligence. This allows us to pin down the transition, as the point at which the physics changes qualitatively,…

Quantum Physics · Physics 2019-11-19 Patrick Huembeli , Alexandre Dauphin , Peter Wittek , Christian Gogolin

We propose a novel Bayesian framework for changepoint detection in large-scale spherical spatiotemporal data, with broad applicability in environmental and climate sciences. Our approach models changepoints as spatially dependent…

Methodology · Statistics 2026-02-16 Samantha Shi-Jun , Bo Li