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A subjective expected utility policy making centre, managing complex, dynamic systems, needs to draw on the expertise of a variety of disparate panels of experts and integrate this information coherently. To achieve this, diverse supporting…

Methodology · Statistics 2015-12-21 Jim Q. Smith , Martine J. Barons , Manuele Leonelli

Coherent lower previsions are general probabilistic models allowing incompletely specified probability distributions. However, for complete description of a coherent lower prevision -- even on finite underlying sample spaces -- an infinite…

Probability · Mathematics 2022-09-29 Damjan Škulj

Uncertainty quantification for estimation through stochastic optimization solutions in an online setting has gained popularity recently. This paper introduces a novel inference method focused on constructing confidence intervals with…

Machine Learning · Statistics 2026-03-24 Wanrong Zhu , Zhipeng Lou , Ziyang Wei , Wei Biao Wu

Time series forecasting can be viewed as a generative problem that requires both semantic understanding over contextual conditions and stochastic modeling of continuous temporal dynamics. Existing approaches typically rely on either…

Machine Learning · Computer Science 2026-02-04 Yaguo Liu , Mingyue Cheng , Daoyu Wang , Xiaoyu Tao , Qi Liu

Real-world data streams can change unpredictably due to distribution shifts, feedback loops and adversarial actors, which challenges the validity of forecasts. We present a forecasting framework ensuring valid uncertainty estimates…

Machine Learning · Computer Science 2025-03-04 Charles Marx , Volodymyr Kuleshov , Stefano Ermon

Despite recent progress on conversational systems, they still do not perform smoothly and coherently when faced with ambiguous requests. When questions are unclear, conversational systems should have the ability to ask clarifying questions,…

Information Retrieval · Computer Science 2022-08-10 Negar Arabzadeh , Mahsa Seifikar , Charles L. A. Clarke

Forecasts support decision making in a variety of applications. Statistical models can produce accurate forecasts given abundant training data, but when data is sparse, rapidly changing, or unavailable, statistical models may not be able to…

Applications · Statistics 2020-05-19 Thomas McAndrew , Nutcha Wattanachit , G. Casey Gibson , Nicholas G. Reich

Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting, where the goal is to model and forecast multivariate time-series that have underlying hierarchical relations. Most methods focus on point…

Machine Learning · Computer Science 2023-10-20 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting, where the goal is to model and forecast multivariate time-series that have underlying hierarchical relations. Most methods focus on point…

Machine Learning · Computer Science 2023-10-20 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

Weather forecasting has seen a shift in methods from numerical simulations to data-driven systems. While initial research in the area focused on deterministic forecasting, recent works have used diffusion models to produce skillful ensemble…

Machine Learning · Computer Science 2025-04-15 Martin Andrae , Tomas Landelius , Joel Oskarsson , Fredrik Lindsten

Current decision support systems address domains that are heterogeneous in nature and becoming progressively larger. Such systems often require the input of expert judgement about a variety of different fields and an intensive computational…

Other Statistics · Statistics 2017-07-10 Manuele Leonelli , Eva Riccomagno , Jim Q. Smith

The rapid growth of renewable energy penetration has intensified the need for reliable probabilistic forecasts to support grid operations at aggregated (fleet or system) levels. In practice, however, system operators often lack access to…

Machine Learning · Computer Science 2026-02-04 Alireza Moradi , Mathieu Tanneau , Reza Zandehshahvar , Pascal Van Hentenryck

We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the…

Machine Learning · Statistics 2018-06-29 Ruofeng Wen , Kari Torkkola , Balakrishnan Narayanaswamy , Dhruv Madeka

Approximate Bayesian Computation (ABC) has become increasingly prominent as a method for conducting parameter inference in a range of challenging statistical problems, most notably those characterized by an intractable likelihood function.…

We study the fundamental and timely problem of learning long sequences in autoregressive modeling and next-token prediction under model misspecification, measured by the joint Kullback--Leibler (KL) divergence. Our goal is to characterize…

Machine Learning · Computer Science 2026-05-13 Yunbei Xu , Yuzhe Yuan , Ruohan Zhan

Accurate demand forecasting is vital for ensuring reliable access to contraceptive products, supporting key processes like procurement, inventory, and distribution. However, forecasting contraceptive demand in developing countries presents…

Machine Learning · Computer Science 2025-03-10 Harsha Chamara Hewage , Bahman Rostami-Tabar , Aris Syntetos , Federico Liberatore , Glenn Milano

Uncertainty quantification is essential for scientific analysis, as it allows for the evaluation and interpretation of variability and reliability in complex systems and datasets. In their original form, multivariate statistical regression…

Traditional time series forecasting methods optimize for accuracy alone. This objective neglects temporal consistency, in other words, how consistently a model predicts the same future event as the forecast origin changes. We introduce the…

Machine Learning · Computer Science 2026-04-24 Chutian Ma , Grigorii Pomazkin , Giacinto Paolo Saggese , Paul Smith

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

Applications · Statistics 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

Accurate weather forecasting holds significant importance, serving as a crucial tool for decision-making in various industrial sectors. The limitations of statistical models, assuming independence among data points, highlight the need for…

Machine Learning · Computer Science 2025-01-22 Anuvab Sen , Udayon Sen , Mayukhi Paul , Apurba Prasad Padhy , Sujith Sai , Aakash Mallik , Chhandak Mallick