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In this pedagogical text aimed at those wanting to start thinking about or brush up on probabilistic inference, I review the rules by which probability distribution functions can (and cannot) be combined. I connect these rules to the…

Data Analysis, Statistics and Probability · Physics 2012-05-22 David W. Hogg

Solving math word problems requires deductive reasoning over the quantities in the text. Various recent research efforts mostly relied on sequence-to-sequence or sequence-to-tree models to generate mathematical expressions without…

Computation and Language · Computer Science 2022-09-16 Zhanming Jie , Jierui Li , Wei Lu

In this paper we introduce and experimentally compare alternative algorithms to join uncertain relations. Different algorithms are based on specific principles, e.g., sorting, indexing, or building intermediate relational tables to apply…

Databases · Computer Science 2012-11-02 Matteo Magnani , Danilo Montesi

The deterrent effect of military alliances is well documented and widely accepted. However, such work has typically assumed that alliances are exogenous. This is problematic as alliances may simultaneously influence the probability of…

Applications · Statistics 2019-08-21 Benjamin Campbell

This paper contributes to an emerging literature that models votes and text in tandem to better understand polarization of expressed preferences. It introduces a new approach to estimate preference polarization in multidimensional settings,…

Computation and Language · Computer Science 2019-10-29 Caleb Pomeroy , Niheer Dasandi , Slava J. Mikhaylov

Dialog is a natural modality for interaction between customers and businesses in the service industry. As customers call up the service provider, their interactions may be routine or extraordinary. We believe that these interactions, when…

Computation and Language · Computer Science 2017-08-15 Q Vera Liao , Biplav Srivastava , Pavan Kapanipathi

Dempster-Shafer theory is widely applied in uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. A distance between two basic probability assignments(BPAs) presents a measure of performance…

Artificial Intelligence · Computer Science 2014-04-15 Meizhu Li , Qi Zhang , Xinyang Deng , Yong Deng

Some risks have extremely high stakes. For example, a worldwide pandemic or asteroid impact could potentially kill more than a billion people. Comfortingly, scientific calculations often put very low probabilities on the occurrence of such…

Physics and Society · Physics 2008-10-31 Toby Ord , Rafaela Hillerbrand , Anders Sandberg

One of the risks involved in multi agent community is in the identification of trustworthy agent partners for transaction. In this paper we aim to describe a trust model for measuring trust in the interacting agents. The trust metric model…

Computers and Society · Computer Science 2013-05-15 Sanat Kumar Bista , Keshav P. Dahal , Peter I. Cowling , Bhadra Man Tuladhar

This paper describes a natural framework for rules, based on belief functions, which includes a repre- sentation of numerical rules, default rules and rules allowing and rules not allowing contraposition. In particular it justifies the use…

Artificial Intelligence · Computer Science 2013-04-05 Nic Wilson

Mathematical proof aims to deliver confident conclusions, but a very similar process of deduction can be used to make uncertain estimates that are open to revision. A key ingredient in such reasoning is the use of a "default" estimate of…

Artificial Intelligence · Computer Science 2022-11-15 Paul Christiano , Eric Neyman , Mark Xu

This paper describes how automated deduction methods for natural language processing can be applied more efficiently by encoding context in a more elaborate way. Our work is based on formal approaches to context, and we provide a tableau…

Artificial Intelligence · Computer Science 2007-05-23 Christof Monz

In dialogical argumentation it is often assumed that the involved parties always correctly identify the intended statements posited by each other, realize all of the associated relations, conform to the three acceptability states (accepted,…

Artificial Intelligence · Computer Science 2017-12-11 Sylwia Polberg , Anthony Hunter

In the interpretation of experimental data, one is actually looking for plausible explanations. We look for a measure of plausibility, with which we can compare different possible explanations, and which can be combined when there are…

Artificial Intelligence · Computer Science 2010-12-30 Wan Ahmad Tajuddin Wan Abdullah

An increasingly common socio-technical problem is people being taken in by offers that sound ``too good to be true'', where persuasion and trust shape decision-making. This paper investigates how \abr{ai} can help detect these deceptive…

Computation and Language · Computer Science 2025-06-06 Wichayaporn Wongkamjan , Yanze Wang , Feng Gu , Denis Peskoff , Jonathan K. Kummerfeld , Jonathan May , Jordan Lee Boyd-Graber

Bayesian inference can often be sensitive to the choice of hyperparameters of the prior or likelihood, yet defining and quantifying this sensitivity in a principled and computationally feasible way remains challenging in practice.…

Methodology · Statistics 2026-05-28 Arina Odnoblyudova , Charita Dellaporta , François-Xavier Briol

Capture calculus has recently been proposed as a solution to effect checking, achieved by tracking the captured references of terms in the types. Boxes, along with the box and unbox operations, are a crucial construct in capture calculus,…

Programming Languages · Computer Science 2023-06-13 Yichen Xu , Martin Odersky

Machine learning models present a risk of adversarial attack when deployed in production. Quantifying the contributing factors and uncertainties using empirical measures could assist the industry with assessing the risk of downloading and…

Machine Learning · Computer Science 2021-07-08 Josh Kalin , David Noever , Matthew Ciolino

We give a polymorphic account of the relational algebra. We introduce a formalism of ``type formulas'' specifically tuned for relational algebra expressions, and present an algorithm that computes the ``principal'' type for a given…

Logic in Computer Science · Computer Science 2007-05-23 Jan Van den Bussche , Emmanuel Waller

Dempster-Shafer theory of evidence is widely applied to uncertainty modelling and knowledge reasoning because of its advantages in dealing with uncertain information. But some conditions or requirements, such as exclusiveness hypothesis and…

Artificial Intelligence · Computer Science 2017-03-16 Xinyang Deng , Wen Jiang
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