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Since the weather is chaotic, forecasts aim to predict the distribution of future states rather than make a single prediction. Recently, multiple data driven weather models have emerged claiming breakthroughs in skill. However, these have…

A new forecasting method based on the concept of the profile predictive the likelihood function is proposed for discrete-valued processes. In particular, generalized autoregressive and moving average (GARMA) models for Poisson distributed…

Applications · Statistics 2018-07-10 Siuli Mukhopadhyay , V. Sathish

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Access to multiple predictive models trained for the same task, whether in regression or classification, is increasingly common in many applications. Aggregating their predictive uncertainties to produce reliable and efficient uncertainty…

Machine Learning · Statistics 2026-03-06 Nabil Alami , Jad Zakharia , Souhaib Ben Taieb

This paper introduces a new technique for quantifying the approximation error of a broad class of probabilistic inference programs, including ones based on both variational and Monte Carlo approaches. The key idea is to derive a subjective…

Artificial Intelligence · Computer Science 2016-06-02 Marco F Cusumano-Towner , Vikash K Mansinghka

Some applications of deep learning require not only to provide accurate results but also to quantify the amount of confidence in their prediction. The management of an electric power grid is one of these cases: to avoid risky scenarios,…

Machine Learning · Computer Science 2023-08-25 Michele Guerra , Simone Scardapane , Filippo Maria Bianchi

Ambiguity is inherently present in many machine learning tasks, but especially for sequential models seldom accounted for, as most only output a single prediction. In this work we propose an extension of the Multiple Hypothesis Prediction…

Machine Learning · Statistics 2020-03-24 Alessandro Berlati , Oliver Scheel , Luigi Di Stefano , Federico Tombari

In this paper, we introduce ProNet, an novel deep learning approach designed for multi-horizon time series forecasting, adaptively blending autoregressive (AR) and non-autoregressive (NAR) strategies. Our method involves dividing the…

Machine Learning · Computer Science 2024-08-13 Yang Lin

This paper introduces a framework for uncertainty quantification in regression models defined in metric spaces. Leveraging a newly defined notion of homoscedasticity, we develop a conformal prediction algorithm that offers finite-sample…

Machine Learning · Statistics 2025-07-22 Gábor Lugosi , Marcos Matabuena

Production forecasting is a key step to design the future development of a reservoir. A classical way to generate such forecasts consists in simulating future production for numerical models representative of the reservoir. However,…

Machine Learning · Statistics 2019-08-28 Raphaël Deswarte , Véronique Gervais , Gilles Stoltz , Sébastien da Veiga

Uncertainty quantification in prediction presents a compelling challenge with vast applications across various domains, including biomedical science, economics, and weather forecasting. There exists a wide array of methods for constructing…

Methodology · Statistics 2024-07-16 Jianqing Fan , Jiawei Ge , Debarghya Mukherjee

In this paper, computational aspects of the panel aggregation problem are addressed. Motivated primarily by applications of risk assessment, an algorithm is developed for aggregating large corpora of internally incoherent probability…

Artificial Intelligence · Computer Science 2007-07-13 Joel B. Predd , Sanjeev R. Kulkarni , Daniel N. Osherson , H. Vincent Poor

Global warming leads to the increase in frequency and intensity of climate extremes that cause tremendous loss of lives and property. Accurate long-range climate prediction allows more time for preparation and disaster risk management for…

Machine Learning · Computer Science 2021-12-13 Ken C. L. Wong , Hongzhi Wang , Etienne E. Vos , Bianca Zadrozny , Campbell D. Watson , Tanveer Syeda-Mahmood

Forecasting is a task that is difficult to evaluate: the ground truth can only be known in the future. Recent work showing LLM forecasters rapidly approaching human-level performance begs the question: how can we benchmark and evaluate…

Machine Learning · Computer Science 2025-01-13 Daniel Paleka , Abhimanyu Pallavi Sudhir , Alejandro Alvarez , Vineeth Bhat , Adam Shen , Evan Wang , Florian Tramèr

We present a new method for forecasting systems of multiple interrelated time series. The method learns the forecast models together with discovering leading indicators from within the system that serve as good predictors improving the…

Machine Learning · Statistics 2017-10-03 Magda Gregorova , Alexandros Kalousis , Stephane Marchand-Maillet

Conformal prediction, a post-hoc, distribution-free, finite-sample method of uncertainty quantification that offers formal coverage guarantees under the assumption of data exchangeability. Unfortunately, the resulting uncertainty regions…

Machine Learning · Computer Science 2026-04-21 Nikolaos Bousias , Lars Lindemann , George Pappas

Many datasets are collected from multiple environments (e.g. different labs, perturbations, etc.), and it is often advantageous to learn models and relations that are invariant across environments. Invariance can improve robustness to…

Methodology · Statistics 2021-06-07 Jaime Roquero Gimenez , James Zou

Existing multi-view classification and clustering methods typically improve task accuracy by leveraging and fusing information from different views. However, ensuring the reliability of multi-view integration and final decisions is crucial,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Zhipeng Xue , Yan Zhang , Ming Li , Chun Li , Yue Liu , Fei Yu

Conformal prediction (CP), a distribution-free uncertainty quantification (UQ) framework, reliably provides valid predictive inference for black-box models. CP constructs prediction sets that contain the true output with a specified…

Machine Learning · Computer Science 2025-03-12 Xiaofan Zhou , Baiting Chen , Yu Gui , Lu Cheng

Recent advances in uncertainty quantification increasingly emphasise the distinction between aleatory and epistemic uncertainty in machine learning, motivating the need for more unified frameworks. However, despite much progress in…

Machine Learning · Computer Science 2026-05-26 Yu Chen , Scott Ferson
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