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The optimal fingerprinting method for detection and attribution of climate change is based on a multiple regression where each covariate has measurement error whose covariance matrix is the same as that of the regression error up to a known…

Methodology · Statistics 2025-05-08 Yan Li , Kun Chen , Jun Yan , Xuebin Zhang

Regression-based optimal fingerprinting techniques for climate change detection and attribution require the estimation of the forced signal as well as the internal variability covariance matrix in order to distinguish between their…

Methodology · Statistics 2022-08-08 Samuel Baugh , Karen McKinnon

The optimal fingerprint method serves as a potent approach for detecting and attributing climate change. However, its experimental validation encounters challenges due to the intricate nature of climate systems. Here, we experimentally…

Atmospheric and Oceanic Physics · Physics 2025-05-13 Jinbo Hu , Hong Yuan , Letian Chen , Nan Zhao , C. P. Sun

We provide a link between response theory, pullback measures, and optimal fingerprinting method that paves the way for a) predicting the impact of acting forcings on time-dependent systems and b) attributing observed anomalies to acting…

Statistical Mechanics · Physics 2026-04-10 Valerio Lucarini

We provide a review on the "optimal fingerprinting" approach as summarized in Allen and Tett (1999) from a point view of statistical inference in light of the recent criticism of McKitrick (2021). Our review finds that the "optimal…

Data Analysis, Statistics and Probability · Physics 2022-05-24 Hanyue Chen , Song Xi Chen , Mu Mu

Detection and attribution (D&A) studies are cornerstones of climate science, providing crucial evidence for policy decisions. Their goal is to link observed climate change patterns to anthropogenic and natural drivers via the optimal…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Valerio Lucarini , Mickaël Chekroun

Fingerprints are key tools in climate change detection and attribution (D&A) that are used to determine whether changes in observations are different from internal climate variability (detection), and whether observed changes can be…

Machine Learning · Statistics 2022-12-12 Enikő Székely , Sebastian Sippel , Nicolai Meinshausen , Guillaume Obozinski , Reto Knutti

Using optimal detection techniques with climate model simulations, most of the observed increase of near surface temperatures over the second half of the twentieth century is attributed to anthropogenic influences. However, the partitioning…

Atmospheric and Oceanic Physics · Physics 2016-08-03 Gareth S. Jones , Peter A. Stott , John F. B. Mitchell

We consider statistical inference for errors-in-variables regression models with dependent observations under the high dimensionality of the error covariance matrix. It is tempting to prewhiten the model and data that had led to efficient…

Applications · Statistics 2026-05-08 Jingkun Qiu , Hanyue Chen , Song Xi Chen

Detecting and attributing temperature increases driven by climate change is crucial for understanding global warming and informing adaptation strategies. However, distinguishing human-induced climate signals from natural variability remains…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Sungduk Yu , Brian L. White , Anahita Bhiwandiwalla , Musashi Hinck , Matthew Lyle Olson , Yaniv Gurwicz , Raanan Y. Rohekar , Tung Nguyen , Vasudev Lal

Climate projections using data driven machine learning models acting as emulators, is one of the prevailing areas of research to enable policy makers make informed decisions. Use of machine learning emulators as surrogates for…

Machine Learning · Computer Science 2023-08-24 Anmol Chaure , Ashok Kumar Behera , Sudip Bhattacharya

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

Heatmap regression with a deep network has become one of the mainstream approaches to localize facial landmarks. However, the loss function for heatmap regression is rarely studied. In this paper, we analyze the ideal loss function…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 Xinyao Wang , Liefeng Bo , Li Fuxin

Determining changes in global temperature and precipitation that may indicate climate change is complicated by annual variations. One approach for finding potential climate change indicators is to train a model that predicts the year from…

Atmospheric and Oceanic Physics · Physics 2022-12-09 Charles Anderson , Jason Stock

Standard conformal anomaly detection provides marginal finite-sample guarantees under the assumption of exchangeability . However, real-world data often exhibit distribution shifts, necessitating a weighted conformal approach to adapt to…

Machine Learning · Statistics 2026-03-25 Oliver Hennhöfer , Christine Preisach

We propose to estimate the weight matrix used for forecast reconciliation as parameters in a general linear model in order to quantify its uncertainty. This implies that forecast reconciliation can be formulated as an orthogonal projection…

Methodology · Statistics 2024-02-12 Jan Kloppenborg Møller , Peter Nystrup , Poul G. Hjorth , Henrik Madsen

We propose Material Fingerprinting, a new method for the rapid discovery of mechanical material models from direct or indirect data that avoids solving potentially non-convex optimization problems. The core assumption of Material…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Moritz Flaschel , Denisa Martonová , Carina Veil , Ellen Kuhl

Fingerprinting-based positioning, one of the promising indoor positioning solutions, has been broadly explored owing to the pervasiveness of sensor-rich mobile devices, the prosperity of opportunistically measurable location-relevant…

Machine Learning · Statistics 2019-12-20 Caifa Zhou

This is the first of a pair of papers which address the problem of measuring the unredshifted power spectrum in optimal fashion from a survey of galaxies, with arbitrary geometry, for Gaussian or non-Gaussian fluctuations, in real or…

Astrophysics · Physics 2015-06-24 A. J. S. Hamilton
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