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Non-deductive reasoning systems are often {\em representation dependent}: representing the same situation in two different ways may cause such a system to return two different answers. Some have viewed this as a significant problem. For…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Daphne Koller

Deep feature spaces have the capacity to encode complex transformations of their input data. However, understanding the relative feature-space relationship between two transformed encoded images is difficult. For instance, what is the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-23 Daniel E. Worrall , Stephan J. Garbin , Daniyar Turmukhambetov , Gabriel J. Brostow

Dempster-Shafer evidence theory is a powerful tool in information fusion. When the evidence are highly conflicting, the counter-intuitive results will be presented. To adress this open issue, a new method based on evidence distance of…

Artificial Intelligence · Computer Science 2014-04-21 Hongming Mo , Yong Deng

Normalizing flows are deep generative models that allow efficient likelihood calculation and sampling. The core requirement for this advantage is that they are constructed using functions that can be efficiently inverted and for which the…

Machine Learning · Computer Science 2021-01-11 You Lu , Bert Huang

The use of Dynamic Epistemic Logic (DEL) in multi-agent planning has led to a widely adopted action formalism that can handle nondeterminism, partial observability and arbitrary knowledge nesting. As such expressive power comes at the cost…

Artificial Intelligence · Computer Science 2023-07-31 Alessandro Burigana , Paolo Felli , Marco Montali , Nicolas Troquard

The integration of semantic information in a map allows robots to understand better their environment and make high-level decisions. In the last few years, neural networks have shown enormous progress in their perception capabilities.…

We consider the two-fold problem of representing collective beliefs and aggregating these beliefs. We propose modular, transitive relations for collective beliefs. They allow us to represent conflicting opinions and they have a clear…

Artificial Intelligence · Computer Science 2007-05-23 Pedrito Maynard-Reid , Daniel Lehmann

This paper explores algorithms for processing probabilistic and deterministic information when the former is represented as a belief network and the latter as a set of boolean clauses. The motivating tasks are 1. evaluating beliefs networks…

Artificial Intelligence · Computer Science 2013-01-14 Rina Dechter , David Ephraim Larkin

Our capacity to process information depends on the computational power at our disposal. Information theory captures our ability to distinguish states or communicate messages when it is unconstrained with unrivaled beauty and elegance. For…

Quantum Physics · Physics 2026-04-08 Johannes Jakob Meyer , Asad Raza , Jacopo Rizzo , Lorenzo Leone , Sofiene Jerbi , Jens Eisert

A large number of multi-attribute group decisionmaking (MAGDM) have been widely introduced to obtain consensus results. However, most of the methodologies ignore the conflict among the experts opinions and only consider equal or variable…

Artificial Intelligence · Computer Science 2024-09-16 Pragya Gupta , Debjani Chakraborty , Debashree Guha

This paper presents an efficient adaptation and application of the Dempster-Shafer theory of evidence, one that can be used effectively in a massively parallel hierarchical system for visual pattern perception. It describes the techniques…

Artificial Intelligence · Computer Science 2013-04-12 Ze-Nian Li , Leonard Uhr

It is shown that a consistent application of Bayesian updating from a prior probability density to a posterior using evidence in the form of expectation constraints leads to exactly the same results as the application of the maximum entropy…

Data Analysis, Statistics and Probability · Physics 2016-05-02 Sergio Davis

In this paper, a possibilistic disjunctive logic programming approach for modeling uncertain, incomplete and inconsistent information is defined. This approach introduces the use of possibilistic disjunctive clauses which are able to…

Artificial Intelligence · Computer Science 2015-03-19 Juan Carlos Nieves , Mauricio Osorio , Ulises Cortés

Determining the reliability of evidence sources is a crucial topic in Dempster-Shafer theory (DST). Previous approaches have addressed high conflicts between evidence sources using discounting methods, but these methods may not ensure the…

Artificial Intelligence · Computer Science 2024-11-05 Juntao Xu , Tianxiang Zhan , Yong Deng

Debiased recommendation has recently attracted increasing attention from both industry and academic communities. Traditional models mostly rely on the inverse propensity score (IPS), which can be hard to estimate and may suffer from the…

Information Retrieval · Computer Science 2022-01-19 Mengyue Yang , Guohao Cai , Furui Liu , Zhenhua Dong , Xiuqiang He , Jianye Hao , Jun Wang , Xu Chen

Recommender systems aim to recommend new items to users by learning user and item representations. In practice, these representations are highly entangled as they consist of information about multiple factors, including user's interests,…

Information Retrieval · Computer Science 2022-04-18 Paras Sheth , Ruocheng Guo , Lu Cheng , Huan Liu , K. Selçuk Candan

We present locally complete inference rules for probabilistic deduction from taxonomic and probabilistic knowledge-bases over conjunctive events. Crucially, in contrast to similar inference rules in the literature, our inference rules are…

Artificial Intelligence · Computer Science 2013-02-01 Thomas Lukasiewicz

The interactions between three or more random variables are often nontrivial, poorly understood, and yet, are paramount for future advances in fields such as network information theory, neuroscience, genetics and many others. In this work,…

Information Theory · Computer Science 2016-04-20 Fernando Rosas , Vasilis Ntranos , Christopher J. Ellison , Sofie Pollin , Marian Verhelst

The presence of symmetries imposes a stringent set of constraints on a system. This constrained structure allows intelligent agents interacting with such a system to drastically improve the efficiency of learning and generalization, through…

Information Theory · Computer Science 2024-10-03 Hippolyte Charvin , Nicola Catenacci Volpi , Daniel Polani

To understand changes in physical systems and facilitate decisions, explaining how model predictions are made is crucial. We use model-based interpretability, where models of physical systems are constructed by composing basic constructs…

Artificial Intelligence · Computer Science 2020-03-24 Ion Matei , Johan de Kleer , Christoforos Somarakis , Rahul Rai , John S. Baras