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We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse

Interacting random field of probabilities links Kolmogorov law 0-1 and Bayesian probabilities observing Markov diffusion process under Yes-No actions of random impulse. These objective probabilities measure virtual probing impulses…

Adaptation and Self-Organizing Systems · Physics 2017-09-08 Vladimir S. Lerner

This paper investigates decision-making in A/B experiments for online platforms and marketplaces. In such settings, due to constraints on inventory, A/B experiments typically lead to biased estimators because of *interference* between…

Methodology · Statistics 2025-08-26 Ramesh Johari , Hannah Li , Anushka Murthy , Gabriel Y. Weintraub

This article deals with plausible reasoning from incomplete knowledge about large-scale spatial properties. The availableinformation, consisting of a set of pointwise observations,is extrapolated to neighbour points. We make use of belief…

Artificial Intelligence · Computer Science 2013-01-14 Jerome Lang , Philippe Muller

We compare the classical Kolmogorov and quantum probability models. We show that the gap between these model is not so huge as it was commonly believed. The main structures of quantum theory (interference of probabilities, Born's rule,…

Probability · Mathematics 2007-05-23 Andrei Khrennikov

Causal inference with observational data can be performed under an assumption of no unobserved confounders (unconfoundedness assumption). There is, however, seldom clear subject-matter or empirical evidence for such an assumption. We…

Methodology · Statistics 2023-11-13 Minna Genbäck , Xavier de Luna

The Quantum Decision Theory, developed recently by the authors, is applied to clarify the role of risk and uncertainty in decision making and in particular in relation to the phenomenon of dynamic inconsistency. By formulating this notion…

Physics and Society · Physics 2015-05-13 V. I. Yukalov , D. Sornette

The No Unmeasured Confounding Assumption is widely used to identify causal effects in observational studies. Recent work on proximal inference has provided alternative identification results that succeed even in the presence of unobserved…

Machine Learning · Statistics 2022-10-17 Benjamin Kompa , David R. Bellamy , Thomas Kolokotrones , James M. Robins , Andrew L. Beam

The bystander effect is a social psychological phenomenon in which individuals are less likely to help a person potentially in need if there are others present. Sociologists and psychologists have proposed multiple plausible reasons for the…

Physics and Society · Physics 2026-01-13 Tiffanie Ng , Sara M Clifton

Entanglement can modify the interference patterns of multi-particle systems. We analyse, using the path integral formalism, a novel example of multi-particle interference and some unexplored aspects of this phenomenon by considering the…

Quantum Physics · Physics 2022-03-30 Pedro Sancho

In dynamic settings each economic agent's choices can be revealing of her private information. This elicitation via the rationalization of observable behavior depends each agent's perception of which payoff-relevant contingencies other…

Theoretical Economics · Economics 2021-05-17 Evan Piermont , Peio Zuazo-Garin

We provide here a general mathematical framework to model attitudes towards ambiguity which uses the formalism of quantum theory as a ``purely mathematical formalism, detached from any physical interpretation''. We show that the…

Artificial Intelligence · Computer Science 2020-06-23 Sandro Sozzo

Facing an unknown situation, a person may not be able to firmly elicit his/her preferences over different alternatives, so he/she tends to express uncertain preferences. Given a community of different persons expressing their preferences…

Artificial Intelligence · Computer Science 2017-08-11 Yiru Zhang , Tassadit Bouadi , Arnaud Martin

Causal inference on a population of units connected through a network often presents technical challenges, including how to account for interference. In the presence of local interference, for instance, potential outcomes of a unit depend…

Methodology · Statistics 2018-04-02 Laura Forastiere , Edoardo M. Airoldi , Fabrizia Mealli

Standard methods in preference learning involve estimating the parameters of discrete choice models from data of selections (choices) made by individuals from a discrete set of alternatives (the choice set). While there are many models for…

Machine Learning · Computer Science 2021-08-18 Kiran Tomlinson , Johan Ugander , Austin R. Benson

We present current methods for estimating treatment effects and spillover effects under "interference", a term which covers a broad class of situations in which a unit's outcome depends not only on treatments received by that unit, but also…

Applications · Statistics 2020-01-16 Peter M. Aronow , Dean Eckles , Cyrus Samii , Stephanie Zonszein

In classical causal inference, inferring cause-effect relations from data relies on the assumption that units are independent and identically distributed. This assumption is violated in settings where units are related through a network of…

Artificial Intelligence · Computer Science 2022-07-05 Razieh Nabi , Joel Pfeiffer , Murat Ali Bayir , Denis Charles , Emre Kıcıman

Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

Statistical Mechanics · Physics 2007-05-23 William Bialek , Naftali Tishby

Standard selective prediction methods typically estimate uncertainty from the output of a single predictive branch. While effective for general uncertainty estimation, these approaches often struggle under partial observability, where local…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Kartik Jhawar , Yuhao Geng , Atul N. Parikh , Lipo Wang

As we know, there is a controversy about the decision making under risk between economists and psychologists. We discuss to build a unified theory of risky choice, which would explain both of compensatory and non-compensatory theories. For…

Economics · Quantitative Finance 2017-03-24 Lamb Wubin , Naixin Ren