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Internal climate variability arises from the climate system's inherently chaotic dynamics. Quantifying it is essential for climate science, as it enables risk-based decision-making and differentiates between externally forced change and…

We review the main aspects of the warm inflation scenario, focusing on the inflationary dynamics and the predictions related to the primordial spectrum of perturbations, to be compared with the recent cosmological observations. We study in…

High Energy Physics - Phenomenology · Physics 2010-04-21 Mar Bastero-Gil , Arjun Berera

Adaptation-relevant predictions of climate change are often derived by combining climate model simulations in a multi-model ensemble. Model evaluation methods used in performance-based ensemble weighting schemes have limitations in the…

Atmospheric and Oceanic Physics · Physics 2023-04-19 Mala Virdee , Markus Kaiser , Emily Shuckburgh , Carl Henrik Ek , Ieva Kazlauskaite

Given multi-model ensemble climate projections, the goal is to accurately and reliably predict future sea-level rise while lowering the uncertainty. This problem is important because sea-level rise affects millions of people in coastal…

Atmospheric and Oceanic Physics · Physics 2023-10-25 Subhankar Ghosh , Shuai An , Arun Sharma , Jayant Gupta , Shashi Shekhar , Aneesh Subramanian

Calibration strengthens the trustworthiness of black-box models by producing better accurate confidence estimates on given examples. However, little is known about if model explanations can help confidence calibration. Intuitively, humans…

Computation and Language · Computer Science 2022-11-08 Dongfang Li , Baotian Hu , Qingcai Chen

Palaeoclimate archives contain information on climate variability, trends and mechanisms. Models are developed to explain observations and predict the response of the climate system to perturbations, in particular perturbations associated…

Atmospheric and Oceanic Physics · Physics 2012-09-13 Michel Crucifix

Predictions of the future state of the Earth's atmosphere suffer from the consequences of chaos: numerical weather forecast models quickly diverge from observations as uncertainty in the initial state is amplified by nonlinearity. One…

Mathematical Physics · Physics 2015-03-19 Ross M. Lieb-Lappen , Christopher M. Danforth

We assess empirical models in climate econometrics using modern statistical learning techniques. Existing approaches are prone to outliers, ignore sample dependencies, and lack principled model selection. To address these issues, we…

Applications · Statistics 2025-05-26 Christof Schötz , Jan Hassel , Christian Otto

This work addresses the challenge of providing consistent explanations for predictive models in the presence of model indeterminacy, which arises due to the existence of multiple (nearly) equally well-performing models for a given dataset…

Machine Learning · Computer Science 2023-06-14 Dan Ley , Leonard Tang , Matthew Nazari , Hongjin Lin , Suraj Srinivas , Himabindu Lakkaraju

Ensemble prediction systems are an invaluable tool for weather forecasting. Practically, ensemble predictions are obtained by running several perturbations of the deterministic control forecast. However, ensemble prediction is associated…

Machine Learning · Computer Science 2023-02-22 Rüdiger Brecht , Alex Bihlo

Climate models are thought to solve boundary value problems unlike numerical weather prediction, which is an initial value problem. However, climate internal variability (CIV) is thought to be relatively important at near-term (0-30 year)…

Atmospheric and Oceanic Physics · Physics 2016-01-20 Devashish Kumar , Auroop R. Ganguly

Obtaining accurate estimates of uncertainty in climate scenarios often requires generating large ensembles of high-resolution climate simulations, a computationally expensive and memory intensive process. To address this challenge, we train…

Machine Learning · Computer Science 2024-07-08 Johannes Meuer , Maximilian Witte , Tobias Sebastian Finn , Claudia Timmreck , Thomas Ludwig , Christopher Kadow

Artificial intelligence (AI)-based weather prediction research is growing rapidly and has shown to be competitive with the advanced dynamic numerical weather prediction models. However, research combining AI-based weather prediction models…

Machine Learning · Computer Science 2025-10-16 Shunji Kotsuki , Kenta Shiraishi , Atsushi Okazaki

We study the auto-correlation function of CMB polarization anisotropies and their cross correlation with temperature fluctuations as probe of the causal structure of the universe. Because polarization is generated at the last scattering…

Astrophysics · Physics 2016-08-30 David N. Spergel , Matias Zaldarriaga

Assessments of impacts of climate change and future projections over the Indian region, have so far relied on a single regional climate model (RCM) - eg., the PRECIS RCM of the Hadley Centre, UK. While these assessments have provided inputs…

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

Predictions of biodiversity trajectories under climate change are crucial in order to act effectively in maintaining the diversity of species. In many ecological applications, future predictions are made under various global warming…

Quantitative Methods · Quantitative Biology 2022-07-19 Matthew Davidow , Cory Merow , Judy Che-Castaldo , Toryn Schafer , Marie-Christine Duker , Derek Corcoran , David Matteson

We propose a new mechanism to generate density perturbations in inflationary models. Spatial fluctuations in the decay rate of the inflaton field to ordinary matter lead to fluctuations in the reheating temperature. We argue that in most…

Astrophysics · Physics 2009-11-07 Gia Dvali , Andrei Gruzinov , Matias Zaldarriaga

Conformal prediction is a statistically rigorous method for quantifying uncertainty in models by having them output sets of predictions, with larger sets indicating more uncertainty. However, prediction sets are not inherently actionable;…

Machine Learning · Computer Science 2025-02-17 Jesse C. Cresswell , Bhargava Kumar , Yi Sui , Mouloud Belbahri

Long-range ensemble forecasts are typically verified as anomalies with respect to a lead-time dependent climatological mean to remove the influence of systematic biases. However, common methods for calculating anomalies result in…

Atmospheric and Oceanic Physics · Physics 2025-06-11 Christopher D. Roberts , Martin Leutbecher