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The aim of this paper is to propose an adaptation of the well known adaptive conformal inference (ACI) algorithm to achieve finite-sample coverage guarantees in multi-step ahead time-series forecasting in the online setting. ACI dynamically…

Machine Learning · Statistics 2024-09-24 Johan Hallberg Szabadváry

Skillful streamflow forecasts can inform decisions in various areas of water policy and management. We integrate numerical weather prediction ensembles, distributed hydrological model and machine learning to generate ensemble streamflow…

Machine Learning · Computer Science 2022-11-29 Sanjib Sharma , Ganesh Raj Ghimire , Ridwan Siddique

Subseasonal forecasting, which is pivotal for agriculture, water resource management, and early warning of disasters, faces challenges due to the chaotic nature of the atmosphere. Recent advances in machine learning (ML) have revolutionized…

Machine Learning · Computer Science 2024-02-06 Shan Zhao , Zhitong Xiong , Xiao Xiang Zhu

Errors in the representation of clouds in convection-permitting numerical weather prediction models can be introduced by different sources. These can be the forcing and boundary conditions, the representation of orography, the accuracy of…

Atmospheric and Oceanic Physics · Physics 2022-03-14 Stefanie Legler , Tijana Janjic

Approximate Bayesian computation (ABC) is a set of techniques for Bayesian inference when the likelihood is intractable but sampling from the model is possible. This work presents a simple yet effective ABC algorithm based on the…

Computation · Statistics 2019-03-01 Yanzhi Chen , Michael U. Gutmann

Time series forecasting has long been dominated by advances in model architecture, with recent progress driven by deep learning and hybrid statistical techniques. However, as forecasting models approach diminishing returns in accuracy, a…

Machine Learning · Computer Science 2026-01-29 Daojun Liang , Qi Li , Yinglong Wang , Jing Chen , Hu Zhang , Xiaoxiao Cui , Qizheng Wang , Shuo Li

Operational weather forecasting models have advanced for decades on both the explicit numerical solvers and the empirical physical parameterization schemes. However, the involved high computational costs and uncertainties in these existing…

Atmospheric and Oceanic Physics · Physics 2024-05-13 Mengxuan Chen , Ziqi Yuan , Jinxiao Zhang , Runmin Dong , Haohuan Fu

Approximate Bayesian Computation (ABC) methods have gained in their popularity over the last decade because they expand the horizon of Bayesian parameter inference methods to the range of models for which only forward simulation is…

Computation · Statistics 2016-08-05 Majid K. Vakilzadeh , James L. Beck , Thomas Abrahamsson

Diffusion models have demonstrated strong generative capabilities across domains ranging from image synthesis to complex reasoning tasks. However, most inference-time scaling methods rely on fixed denoising schedules, limiting their ability…

Machine Learning · Computer Science 2025-10-28 Gyubin Lee , Truong Nhat Nguyen Bao , Jaesik Yoon , Dongwoo Lee , Minsu Kim , Yoshua Bengio , Sungjin Ahn

Approximate Bayesian Computation (ABC) has gained popularity as a method for conducting inference and forecasting in complex models, most notably those which are intractable in some sense. In this paper we use ABC to produce probabilistic…

Methodology · Statistics 2023-11-03 Chaya Weerasinghe , Ruben Loaiza-Maya , Gael M. Martin , David T. Frazier

Accurate forecasting is critical for reliable power grid operations, particularly as the share of renewable generation, such as wind and solar, continues to grow. Given the inherent uncertainty and variability in renewable generation,…

Applications · Statistics 2025-10-20 Alireza Moradi , Mathieu Tanneau , Reza Zandehshahvar , Pascal Van Hentenryck

Adaptive inference schemes reduce the cost of machine learning inference by assigning smaller models to easier examples, attempting to avoid invocation of larger models when possible. In this work we explore a simple, effective adaptive…

Machine Learning · Computer Science 2025-10-13 Steven Kolawole , Don Dennis , Ameet Talwalkar , Virginia Smith

Accurate value estimates are important for off-policy reinforcement learning. Algorithms based on temporal difference learning typically are prone to an over- or underestimation bias building up over time. In this paper, we propose a…

Machine Learning · Computer Science 2022-10-24 Nicolai Dorka , Tim Welschehold , Joschka Boedecker , Wolfram Burgard

Intuitively, one would expect a more skillful forecast if predicting weather averaged over one week instead of the weather averaged over one day, and similarly for different spatial averaging areas. However, there are few systematic studies…

Atmospheric and Oceanic Physics · Physics 2022-07-28 Ying Li , Samuel N. Stechmann

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald

AI weather foundation models now achieve forecast skill comparable to numerical weather prediction at far lower computational cost, yet their predictability for high-impact extremes across dynamical regimes remains uncertain. We evaluate…

Atmospheric and Oceanic Physics · Physics 2026-03-09 Qin Huang , Moyan Liu , Yeongbin Kwon , Upmanu Lall

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

Computation · Statistics 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta

Conformal prediction is a powerful distribution-free tool for uncertainty quantification, establishing valid prediction intervals with finite-sample guarantees. To produce valid intervals which are also adaptive to the difficulty of each…

Machine Learning · Computer Science 2023-02-24 Nabeel Seedat , Alan Jeffares , Fergus Imrie , Mihaela van der Schaar

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

Methodology · Statistics 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke

In-situ ocean wave observations are critical to improve model skill and validate remote sensing wave measurements. Historically, such observations are extremely sparse due to the large costs and complexity of traditional wave buoys and…

Atmospheric and Oceanic Physics · Physics 2020-03-11 Pieter B. Smit , Isabel A. Houghton , Kalina Jordanova , Thomas Portwood , Evan Shapiro , David Clark , Michael Sosa , Tim T. Janssen