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Machine learning interatomic potentials (MLIPs) enable atomistic simulations with near first-principles accuracy at substantially reduced computational cost, making them powerful tools for large-scale materials modeling. The accuracy of…

Materials Science · Physics 2025-08-11 Yonatan Kurniawan , Mingjian Wen , Ellad B. Tadmor , Mark K. Transtrum

Models necessarily capture only parts of a reality. Prediction models aim at capturing a future reality. In this paper we address the question of how the future is constructed (or: imagined) in an investment context where market…

General Finance · Quantitative Finance 2019-12-24 Matthias J. Feiler , Thibaut Ajdler

Weather extremes produce major impacts on society and ecosystems and are likely to change in likelihood and magnitude with climate change. However, very low probability events are hard to characterize statistically using observations or…

Applications · Statistics 2026-04-28 Christopher J. Paciorek , Daniel Cooley

Parameters in climate models are usually calibrated manually, exploiting only small subsets of the available data. This precludes both optimal calibration and quantification of uncertainties. Traditional Bayesian calibration methods that…

Statistics Theory · Mathematics 2021-10-04 Oliver R. A. Dunbar , Alfredo Garbuno-Inigo , Tapio Schneider , Andrew M. Stuart

It has been documented that Spread-Error equality and a flat rank histogram are necessary but insufficient for demonstrating ensemble forecast reliability. Nevertheless, these metrics are heavily relied upon, both in the literature and at…

Atmospheric and Oceanic Physics · Physics 2026-03-30 Arlan Dirkson , Mark Buehner

We revisit a recent claim that the Earth's climate system is characterized by sensitive dependence to parameters; in particular, that the system exhibits an asymmetric, large-amplitude response to normally distributed feedback forcing. Such…

Atmospheric and Oceanic Physics · Physics 2011-01-13 Ilya Zaliapin , Michael Ghil

While previous works have shown that machine learning (ML) can improve the prediction accuracy of coarse-grid climate models, these ML-augmented methods are more vulnerable to irregular inputs than the traditional physics-based models they…

Atmospheric and Oceanic Physics · Physics 2022-11-28 Clayton Sanford , Anna Kwa , Oliver Watt-Meyer , Spencer Clark , Noah Brenowitz , Jeremy McGibbon , Christopher Bretherton

Here we evaluate the sea ice, surface air temperature, and sea-level-pressure from 31 of the models used in the Coupled Model Intercomparison Project Phase 6 (CMIP6) for their biases, trends, and variability, and compare them to the CMIP5…

Atmospheric and Oceanic Physics · Physics 2019-12-30 Richard Davy , Stephen Outten

To be able to produce accurate and reliable predictions of visibility has crucial importance in aviation meteorology, as well as in water- and road transportation. Nowadays, several meteorological services provide ensemble forecasts of…

Applications · Statistics 2024-01-25 Sándor Baran , Mária Lakatos

Machine learning models have shown great success in predicting weather up to two weeks ahead, outperforming process-based benchmarks. However, existing approaches mostly focus on the prediction task, and do not incorporate the necessary…

The role of multiplicative and additive covariance inflation on ensemble dynamics under the presence of model errors is examined. We show that multiplicative inflation significantly impacts the alignment of ensemble anomalies onto the…

Data Analysis, Statistics and Probability · Physics 2021-10-18 Scheffler Guillermo , Carrassi Alberto , Ruiz Juan , Pulido Manuel

Modelling uncertainty in Machine Learning models is essential for achieving safe and reliable predictions. Most research on uncertainty focuses on output uncertainty (predictions), but minimal attention is paid to uncertainty at inputs. We…

Machine Learning · Computer Science 2024-06-28 Matias Valdenegro-Toro , Ivo Pascal de Jong , Marco Zullich

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

While most machine learning models can provide confidence in their predictions, confidence is insufficient to understand a prediction's reliability. For instance, the model may have a low confidence prediction if the input is not…

Machine Learning · Computer Science 2023-10-31 Mert Yuksekgonul , Linjun Zhang , James Zou , Carlos Guestrin

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

Machine Learning · Computer Science 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

The ECMWF ensemble weather forecasts are generated by perturbing the initial conditions of the forecast using a subset of the singular vectors of the linearised propagator. Previous results show that when creating probabilistic forecasts…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson , Maarten Ambaum , Christine Ziehmann

Images from outdoor scenes may be taken under various weather conditions. It is well studied that weather impacts the performance of computer vision algorithms and needs to be handled properly. However, existing algorithms model weather…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Qi Bi , Shaodi You , Theo Gevers

We report forecast constraints on warm inflation in the light of future cosmic microwave background (CMB) surveys, with data expected to be available in the coming decade. These observations could finally give us the missing information…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 F. B. M. dos Santos , G. Rodrigues , R. de Souza , J. S. Alcaniz

We ask the following question: what are the relative contributions of the ensemble mean and the ensemble standard deviation to the skill of a site-specific probabilistic temperature forecast? Is it the case that most of the benefit of using…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Computer models are used to model complex processes in various disciplines. Often, a key source of uncertainty in the behavior of complex computer models is uncertainty due to unknown model input parameters. Statistical computer model…

Methodology · Statistics 2013-08-02 Won Chang , Murali Haran , Roman Olson , Klaus Keller