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From the climate system to the effect of the internet on society, chaotic systems appear to have a significant role in our future. Here a method of statistical learning for a class of chaotic systems is described along with underlying…

Applications · Statistics 2020-02-26 Michael LuValle

The causal assumptions, the study design and the data are the elements required for scientific inference in empirical research. The research is adequately communicated only if all of these elements and their relations are described…

Methodology · Statistics 2015-05-01 Juha Karvanen

In this paper the introduction of notion of reference vector paves the way for a combination of classical and social approaches in the framework of referential preferences given by matrix groups. It is shown that individual demand issue…

General Finance · Quantitative Finance 2014-02-17 Teycir Abdelghani Goucha

Probabilistic argumentation allows reasoning about argumentation problems in a way that is well-founded by probability theory. However, in practice, this approach can be severely limited by the fact that probabilities are defined by adding…

Artificial Intelligence · Computer Science 2019-03-07 Nico Potyka

We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a proof-theoretic soundness and completeness proof, which we…

Logic in Computer Science · Computer Science 2022-04-28 Robert Rothenberg

We recently described a formalism for reasoning with if-then rules that re expressed with different levels of firmness [18]. The formalism interprets these rules as extreme conditional probability statements, specifying orders of magnitude…

Artificial Intelligence · Computer Science 2013-03-25 Moises Goldszmidt , Judea Pearl

In computer science, various logical languages are defined to analyze properties of systems. One way to pinpoint the essential differences between those logics is to compare their expressivity in terms of distinguishing power and expressive…

Logic in Computer Science · Computer Science 2009-05-28 Yanjing Wang , Francien Dechesne

In this paper we develop an evidential force aggregation method intended for classification of evidential intelligence into recognized force structures. We assume that the intelligence has already been partitioned into clusters and use the…

Artificial Intelligence · Computer Science 2007-05-23 Johan Schubert

The complete reason behind a decision is a Boolean formula that characterizes why the decision was made. This recently introduced notion has a number of applications, which include generating explanations, detecting decision bias and…

Artificial Intelligence · Computer Science 2022-03-22 Adnan Darwiche , Chunxi Ji

One challenge in fact checking is the ability to improve the transparency of the decision. We present a fact checking method that uses reference information in knowledge graphs (KGs) to assess claims and explain its decisions. KGs contain a…

Databases · Computer Science 2019-06-24 Naser Ahmadi , Joohyung Lee , Paolo Papotti , Mohammed Saeed

In systems modelling, a 'system' typically comprises located resources relative to which processes execute. One important use of logic in informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their…

Logic in Computer Science · Computer Science 2024-12-18 Alexander V. Gheorghiu , Tao Gu , David J. Pym

Explanations play a variety of roles in various recommender systems, from a legally mandated afterthought, through an integral element of user experience, to a key to persuasiveness. A natural and useful form of an explanation is the…

Machine Learning · Computer Science 2025-07-11 Jakub Černý , Jiří Němeček , Ivan Dovica , Jakub Mareček

Relational descriptions have been used in formalizing diverse computational notions, including, for example, operational semantics, typing, and acceptance by non-deterministic machines. We therefore propose a (restricted) logical theory…

Logic in Computer Science · Computer Science 2010-09-02 Andrew Gacek , Dale Miller , Gopalan Nadathur

In order to reason about effects, we can define quantitative formulas to describe behavioural aspects of effectful programs. These formulas can for example express probabilities that (or sets of correct starting states for which) a program…

Logic in Computer Science · Computer Science 2019-04-29 Niels Voorneveld

When various observers obtain information in an independent fashion about a classical system, there is a simple rule which allows them to pool their knowledge, and this requires only the states-of-knowledge of the respective observers. Here…

Quantum Physics · Physics 2009-11-11 Kurt Jacobs

Structured prediction is ubiquitous in applications of machine learning such as knowledge extraction and natural language processing. Structure often can be formulated in terms of logical constraints. We consider the question of how to…

Artificial Intelligence · Computer Science 2017-09-27 Emmanouil Antonios Platanios , Ashish Kapoor , Eric Horvitz

Causal inference is a critical research topic across many domains, such as statistics, computer science, education, public policy and economics, for decades. Nowadays, estimating causal effect from observational data has become an appealing…

Methodology · Statistics 2020-02-10 Liuyi Yao , Zhixuan Chu , Sheng Li , Yaliang Li , Jing Gao , Aidong Zhang

Factor models are a very efficient way to describe high dimensional vectors of data in terms of a small number of common relevant factors. This problem, which is of fundamental importance in many disciplines, is usually reformulated in…

Optimization and Control · Mathematics 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

This paper enlarges classical syllogistic logic with assertions having to do with comparisons between the sizes of sets. So it concerns a logical system whose sentences are of the following forms: {\sf All $x$ are $y$} and {\sf Some $x$ are…

Logic · Mathematics 2020-03-25 Lawrence S. Moss , Selçuk Topal

Logic-based approaches to AI have the advantage that their behavior can in principle be explained to a user. If, for instance, a Description Logic reasoner derives a consequence that triggers some action of the overall system, then one can…

Artificial Intelligence · Computer Science 2022-05-26 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova