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Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a…

Quantum Physics · Physics 2007-05-23 P. G. L. Porta Mana , A. Månsson , G. Björk

We report on a course project in which students submit weekly probabilistic forecasts of two weather variables and one financial variable. This real-time format allows students to engage in practical forecasting, which requires a diverse…

Other Statistics · Statistics 2023-04-04 Johannes Bracher , Nils Koster , Fabian Krüger , Sebastian Lerch

Process mining is a scientific discipline that analyzes event data, often collected in databases called event logs. Recently, uncertain event logs have become of interest, which contain non-deterministic and stochastic event attributes that…

Artificial Intelligence · Computer Science 2022-04-05 Marco Pegoraro , Bianka Bakullari , Merih Seran Uysal , Wil M. P. van der Aalst

In spite of the (correct) common-wisdom statement correlation does not imply causation, a proper employ of time correlations and of fluctuation-response theory allows to understand the causal relations between the variables of a…

Statistical Mechanics · Physics 2021-01-04 Marco Baldovin , Fabio Cecconi , Angelo Vulpiani

Bayesian modeling provides a principled approach to quantifying uncertainty in model parameters and model structure and has seen a surge of applications in recent years. Within the context of a Bayesian workflow, we are concerned with model…

Methodology · Statistics 2025-01-24 Maximilian Scholz , Paul-Christian Bürkner

Recent developments in sensing technologies have enabled us to examine the nature of human social behavior in greater detail. By applying an information theoretic method to the spatiotemporal data of cell-phone locations, [C. Song et al.…

Physics and Society · Physics 2011-10-04 Taro Takaguchi , Mitsuhiro Nakamura , Nobuo Sato , Kazuo Yano , Naoki Masuda

Understanding how humans respond to uncertainty is critical for designing safe and effective physical human-robot interaction (pHRI), as physically working with robots introduces multiple sources of uncertainty, including trust, comfort,…

Robotics · Computer Science 2025-12-10 Yixiang Lin , Tiancheng Yang , Jonathan Eden , Ying Tan

We present a risk-aware formalism for evaluating system trajectories in the presence of uncertain interactions between the system and its environment. The proposed formalism supports reasoning under uncertainty and systematically handles…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Tichakorn Wongpiromsarn

Philosophers now seem to agree that frequentism is an untenable strategy to explain the meaning of probabilities. Nevertheless, I want to revive frequentism, and I will do so by grounding probabilities on typicality in the same way as the…

History and Philosophy of Physics · Physics 2021-01-05 Mario Hubert

Given a nonlinear model, a probabilistic forecast may be obtained by Monte Carlo simulations. At a given forecast horizon, Monte Carlo simulations yield sets of discrete forecasts, which can be converted to density forecasts. The resulting…

Chaotic Dynamics · Physics 2013-07-24 Reason Lesego Machete

We use the law of total variance to generate multiple expansions for the posterior predictive variance. These expansions are sums of terms involving conditional expectations and conditional variances and provide a quantification of the…

Statistics Theory · Mathematics 2026-03-23 Sanjay Chaudhuri , Dean Dustin , Bertrand Clarke

Model explanations can be valuable for interpreting and debugging predictive models. We study a specific kind called Concept Explanations, where the goal is to interpret a model using human-understandable concepts. Although popular for…

Machine Learning · Computer Science 2024-04-08 Vihari Piratla , Juyeon Heo , Katherine M. Collins , Sukriti Singh , Adrian Weller

With recent advances in natural language processing, rationalization becomes an essential self-explaining diagram to disentangle the black box by selecting a subset of input texts to account for the major variation in prediction. Yet,…

Machine Learning · Computer Science 2023-09-12 Wenbo Zhang , Tong Wu , Yunlong Wang , Yong Cai , Hengrui Cai

Buildings represent a promising flexibility source to support the integration of renewable energy sources, as they may shift their heating energy consumption over time without impacting users' comfort. However, a building's predicted…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Julie Rousseau , Hanmin Cai , Philipp Heer , Kristina Orehounig , Gabriela Hug

Time-to-event forecasts are essential when decisions depend on event timing. This article develops a framework for evaluating such forecasts when the event has not yet occurred or is not predicted within the forecast horizon. We introduce a…

Statistics Theory · Mathematics 2026-03-17 Robert J. Taggart , Nicholas Loveday , Simon Louis

When climate forecasts are highly uncertain, the optimal mean squared error strategy is to ignore them. When climate forecasts are highly certain, the optimal mean squared error strategy is to use them as is. In between these two extremes…

Atmospheric and Oceanic Physics · Physics 2009-12-23 Stephen Jewson , Ed Hawkins

Techniques for decision making with knowledge of linear constraints on condition probabilities are examined. These constraints arise naturally in many situations: upper and lower condition probabilities are known; an ordering among the…

Artificial Intelligence · Computer Science 2013-04-10 Michael Pittarelli

Agents interacting with an incompletely known world need to be able to reason about the effects of their actions, and to gain further information about that world they need to use sensors of some sort. Unfortunately, both the effects of…

Artificial Intelligence · Computer Science 2007-05-23 Fahiem Bacchus , Joseph Y. Halpern , Hector J. Levesque

Decision-making under uncertainty and causal thinking are fundamental aspects of intelligent reasoning. Decision-making has been well studied when the available information is considered at the associative (probabilistic) level. The…

Artificial Intelligence · Computer Science 2026-04-30 Mauricio Gonzalez Soto , David Danks , Hugo J. Escalante Balderas , L. Enrique Sucar

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal
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