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Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Reliable uncertainty quantification at unobserved spatial locations, especially in the presence of complex and heterogeneous datasets, remains a core challenge in spatial statistics. Traditional approaches like Kriging rely heavily on…

Machine Learning · Statistics 2025-02-18 Hanyang Jiang , Yao Xie

We consider the problem of constructing distribution-free prediction intervals for multi-step time series forecasting, with a focus on the temporal dependencies inherent in multi-step forecast errors. We establish that the optimal…

Methodology · Statistics 2026-02-03 Xiaoqian Wang , Rob J Hyndman

The rapid growth of AI applications is dramatically increasing data center energy demand, exacerbating carbon emissions, and necessitating a shift towards 24/7 carbon-free energy (CFE). Unlike traditional annual energy matching, 24/7 CFE…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Yijie Yang , Jian Shi , Dan Wang , Chenye Wu , Zhu Han

Conformal Prediction is a framework that produces prediction intervals based on the output from a machine learning algorithm. In this paper we explore the case when training data is made up of multiple parts available in different sources…

Machine Learning · Statistics 2019-08-16 Ola Spjuth , Robin Carrión Brännström , Lars Carlsson , Niharika Gauraha

Post-hoc calibration of pre-trained models is critical for ensuring reliable inference, especially in safety-critical domains such as healthcare. Conformal Prediction (CP) offers a robust post-hoc calibration framework, providing…

Machine Learning · Computer Science 2025-05-22 Haifeng Wen , Hong Xing , Osvaldo Simeone

We discuss a concept denoted as Conformal Prediction (CP) in this paper. While initially stemming from the world of machine learning, it was never applied or analyzed in the context of short-term electricity price forecasting. Therefore, we…

Econometrics · Economics 2020-11-17 Christopher Kath , Florian Ziel

Deploying deep learning models in safety-critical applications remains a very challenging task, mandating the provision of assurances for the dependable operation of these models. Uncertainty quantification (UQ) methods estimate the model's…

Machine Learning · Computer Science 2024-01-23 Daniel Bethell , Simos Gerasimou , Radu Calinescu

This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Machine Learning · Statistics 2024-06-25 Derck W. E. Prinzhorn , Thijmen Nijdam , Putri A. van der Linden , Alexander Timans

Accurate energy time-series forecasting is crucial for ensuring grid stability and promoting the integration of renewable energy, yet it faces significant challenges from complex temporal dependencies and the heterogeneity of multi-source…

Machine Learning · Computer Science 2026-01-13 Mingnan Zhu , Qixuan Zhang , Yixuan Cheng , Fangzhou Gu , Shiming Lin

Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

The integration of renewable energy into electricity markets poses significant challenges to price stability and increases the complexity of market operations. Accurate and reliable electricity price forecasting is crucial for effective…

Machine Learning · Computer Science 2025-02-10 Ciaran O'Connor , Mohamed Bahloul , Roberto Rossi , Steven Prestwich , Andrea Visentin

We consider conformal prediction for multivariate data and focus on hierarchical data, where some components are linear combinations of others. Intuitively, the hierarchical structure can be leveraged to reduce the size of prediction…

Multi-step stock index forecasting is vital in finance for informed decision-making. Current forecasting methods on this task frequently produce unsatisfactory results due to the inherent data randomness and instability, thereby…

Machine Learning · Computer Science 2024-02-19 Cheng Zhang , Nilam Nur Amir Sjarif , Roslina Ibrahim

Accurate drug-target interaction (DTI) prediction with machine learning models is essential for drug discovery. Such models should also provide a credible representation of their uncertainty, but applying classical marginal conformal…

Machine Learning · Computer Science 2025-05-27 Morteza Rakhshaninejad , Mira Jurgens , Nicolas Dewolf , Willem Waegeman

In regression, conformal prediction is a general methodology to construct prediction intervals in a distribution-free manner. Although conformal prediction guarantees strong statistical property for predictive inference, its inherent…

Statistics Theory · Mathematics 2016-12-01 Wenyu Chen , Zhaokai Wang , Wooseok Ha , Rina Foygel Barber

Conformal prediction provides a pivotal and flexible technique for uncertainty quantification by constructing prediction sets with a predefined coverage rate. Many online conformal prediction methods have been developed to address data…

Machine Learning · Statistics 2026-02-25 Dongjian Hu , Junxi Wu , Shu-Tao Xia , Changliang Zou

We address the problem of uncertainty quantification (UQ) in the localization of a sound source within adverse acoustic environments. Estimating the position of the source is influenced by various factors, such as noise and reverberation,…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-16 Vadim Rozenfeld , Bracha Laufer Goldshtein