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The Doomsday argument and anthropic reasoning are two puzzling examples of probabilistic confirmation. In both cases, a lack of knowledge apparently yields surprising conclusions. Since they are formulated within a Bayesian framework, they…

Data Analysis, Statistics and Probability · Physics 2023-06-22 Yann Benétreau-Dupin

Counterfactuals are a concept inherited from the field of logic and in general attain to the existence of causal relations between sentences or events. In particular, this concept has been introduced also in the context of interpretability…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Pierluigi Francesco De Paola , Jared Miller , Alessandro Borri , Alessia Paglialonga , Fabrizio Dabbene

The feedback data of recommender systems are often subject to what was exposed to the users; however, most learning and evaluation methods do not account for the underlying exposure mechanism. We first show in theory that applying…

Information Retrieval · Computer Science 2020-12-07 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

One of the benefits of belief networks and influence diagrams is that so much knowledge is captured in the graphical structure. In particular, statements of conditional irrelevance (or independence) can be verified in time linear in the…

Artificial Intelligence · Computer Science 2013-02-01 Ross D. Shachter

We introduce an epistemic information measure between two data streams, that we term $influence$. Closely related to transfer entropy, the measure must be estimated by epistemic agents with finite memory resources via sampling accessible…

This work shows how to leverage causal inference to understand the behavior of complex learning systems interacting with their environment and predict the consequences of changes to the system. Such predictions allow both humans and…

We discuss problems for convex Bayesian decision making and uncertainty representation. These include the inability to accommodate various natural and useful constraints and the possibility of an analog of the classical Dutch Book being…

Artificial Intelligence · Computer Science 2013-03-25 Henry E. Kyburg , Michael Pittarelli

Quantum pre- and post-selection (PPS) paradoxes occur when counterfactual inferences are made about different measurements that might have been performed, between two measurements that are actually performed. The 3 box paradox is the…

Quantum Physics · Physics 2017-03-30 O. J. E. Maroney

With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

Machine Learning · Computer Science 2021-01-05 André Artelt , Barbara Hammer

Abstaining classifiers have the option to abstain from making predictions on inputs that they are unsure about. These classifiers are becoming increasingly popular in high-stakes decision-making problems, as they can withhold uncertain…

Machine Learning · Statistics 2023-11-10 Yo Joong Choe , Aditya Gangrade , Aaditya Ramdas

Individual decision-makers consume information revealed by the previous decision makers, and produce information that may help in future decisions. This phenomenon is common in a wide range of scenarios in the Internet economy, as well as…

Computer Science and Game Theory · Computer Science 2019-05-06 Yishay Mansour , Aleksandrs Slivkins , Vasilis Syrgkanis

We identify a choiceless variation of the box game paradox, in which players predict unknown real numbers with near-perfect accuracy despite lacking any useful information. We also verify that choice is necessary in the solution of the…

Logic · Mathematics 2023-01-09 Elliot Glazer

In this article we will propose a completely new point of view for solving one of the most important paradoxes concerning game theory. The solution develop shifts the focus from the result to the strategy s ability to operate in a cognitive…

General Finance · Quantitative Finance 2019-07-26 Andrea Berdondini

Estimating an individual's potential outcomes under counterfactual treatments is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, impulse…

Machine Learning · Statistics 2025-02-13 Yulun Wu , Layne C. Price , Zichen Wang , Vassilis N. Ioannidis , Robert A. Barton , George Karypis

Machine learning is increasingly applied in high-stakes decision making that directly affect people's lives, and this leads to an increased demand for systems to explain their decisions. Explanations often take the form of counterfactuals,…

Machine Learning · Computer Science 2021-05-20 Maximilian Schleich , Zixuan Geng , Yihong Zhang , Dan Suciu

L.J. Savage once hoped to show that "the superficially incompatible systems of ideas associated on the one hand with [subjective Bayesianism] and on the other hand with [classical statistics]...lend each other mutual support and…

Statistics Theory · Mathematics 2017-07-04 Greg Gandenberger

Counterfactual explanations are increasingly used as an Explainable Artificial Intelligence (XAI) technique to provide stakeholders of complex machine learning algorithms with explanations for data-driven decisions. The popularity of…

Artificial Intelligence · Computer Science 2023-04-26 Dieter Brughmans , Lissa Melis , David Martens

Recent studies claim that human behavior in a two-armed Bernoulli bandit (TABB) task is described by positivity and confirmation biases, implying that humans do not integrate new information objectively. However, we find that even if the…

Artificial Intelligence · Computer Science 2025-05-14 Prakhar Godara

We develop a Bayesian model for decision-making under time pressure with endogenous information acquisition. In our model, the decision maker decides when to observe (costly) information by sampling an underlying continuous-time stochastic…

Artificial Intelligence · Computer Science 2016-10-25 Ahmed M. Alaa , Mihaela van der Schaar

Existing recommender systems tend to prioritize items closely aligned with users' historical interactions, inevitably trapping users in the dilemma of ``filter bubble''. Recent efforts are dedicated to improving the diversity of…

Information Retrieval · Computer Science 2025-06-12 Yansen Zhang , Bowei He , Xiaokun Zhang , Haolun Wu , Zexu Sun , Chen Ma