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Although conventional logical systems based on logical calculi have been successfully used in mathematics and beyond, they have definite limitations that restrict their application in many cases. For instance, the principal condition for…

Logic in Computer Science · Computer Science 2011-04-11 Mark Burgin , Kees , de Vey Mestdagh

Commonsense knowledge about everyday concepts is an important asset for AI applications, such as question answering and chatbots. Recently, we have seen an increasing interest in the construction of structured commonsense knowledge bases…

Artificial Intelligence · Computer Science 2022-09-07 Hiba Arnaout , Simon Razniewski , Gerhard Weikum , Jeff Z. Pan

Commonsense knowledge-graphs (CKGs) are important resources towards building machines that can 'reason' on text or environmental inputs and make inferences beyond perception. While current CKGs encode world knowledge for a large number of…

Computation and Language · Computer Science 2022-12-19 Shantanu Jaiswal , Liu Yan , Dongkyu Choi , Kenneth Kwok

This paper discusses a method for implementing a probabilistic inference system based on an extended relational data model. This model provides a unified approach for a variety of applications such as dynamic programming, solving sparse…

Artificial Intelligence · Computer Science 2013-02-21 Michael S. K. M. Wong , C. J. Butz , Yang Xiang

Pre-trained models (PTMs) have lead to great improvements in natural language generation (NLG). However, it is still unclear how much commonsense knowledge they possess. With the goal of evaluating commonsense knowledge of NLG models,…

Computation and Language · Computer Science 2022-05-27 Chao Zhao , Faeze Brahman , Tenghao Huang , Snigdha Chaturvedi

Argumentation is the process of constructing arguments about propositions, and the assignment of statements of confidence to those propositions based on the nature and relative strength of their supporting arguments. The process is modelled…

Artificial Intelligence · Computer Science 2013-03-08 John Fox , Paul J. Krause , Morten Elvang-Gøransson

The principle of the common cause claims that if an improbable coincidence has occurred, there must exist a common cause. This is generally taken to mean that positive correlations between non-causally related events should disappear when…

Other Statistics · Statistics 2017-03-20 Claudio Mazzola

In this paper, we develop a computational approach for estimating the mean value of a quantity in the presence of uncertainty. We demonstrate that, under some mild assumptions, the upper and lower bounds of the mean value are efficiently…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

Mechanisms for the automation of uncertainty are required for expert systems. Sometimes these mechanisms need to obey the properties of probabilistic reasoning. A purely numeric mechanism, like those proposed so far, cannot provide a…

Artificial Intelligence · Computer Science 2013-04-15 Alan Bundy

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

Quantitative Methods · Quantitative Biology 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

Defeasible statements are statements that are likely, or probable, or usually true, but may occasionally be false. Plausible reasoning makes conclusions from statements that are either facts or defeasible statements without using numbers.…

Artificial Intelligence · Computer Science 2026-04-22 David Billington

Generating a reasonable ending for a given story context, i.e., story ending generation, is a strong indication of story comprehension. This task requires not only to understand the context clues which play an important role in planning the…

Computation and Language · Computer Science 2018-12-04 Jian Guan , Yansen Wang , Minlie Huang

This paper modifies Jaynes's axioms of plausible reasoning and derives the minimum relative entropy principle, Bayes's rule, as well as maximum likelihood from first principles. The new axioms, which I call the Optimum Information…

Information Theory · Computer Science 2011-03-30 Alexis Akira Toda

It is conventional wisdom in machine learning and data mining that logical models such as rule sets are more interpretable than other models, and that among such rule-based models, simpler models are more interpretable than more complex…

Machine Learning · Computer Science 2020-12-09 Johannes Fürnkranz , Tomáš Kliegr , Heiko Paulheim

A major difficulty in developing and maintaining very large knowledge bases originates from the variety of forms in which knowledge is made available to the KB builder. The objective of this research is to bring together two complementary…

Artificial Intelligence · Computer Science 2013-04-05 John Yen , Piero P. Bonissone

Textual descriptions of the physical world implicitly mention commonsense facts, while the commonsense knowledge bases explicitly represent such facts as triples. Compared to dramatically increased text data, the coverage of existing…

Computation and Language · Computer Science 2020-04-15 Yanyan Zou , Wei Lu , Xu Sun

Comprehending procedural text, e.g., a paragraph describing photosynthesis, requires modeling actions and the state changes they produce, so that questions about entities at different timepoints can be answered. Although several recent…

Artificial Intelligence · Computer Science 2018-08-31 Niket Tandon , Bhavana Dalvi Mishra , Joel Grus , Wen-tau Yih , Antoine Bosselut , Peter Clark

Concise granule descriptions for definable granules and approaching descriptions for indefinable granules are challenging and important issues in granular computing. The concept with only common attributes has been intensively studied. To…

Artificial Intelligence · Computer Science 2022-01-10 Jianqin Zhou , Sichun Yang , Xifeng Wang , Wanquan Liu

We discuss the Dempster-Shafer theory of evidence. We introduce a concept of monotonicity which is related to the diminution of the range between belief and plausibility. We show that the accumulation of knowledge in this framework exhibits…

Artificial Intelligence · Computer Science 2013-04-08 Ronald R. Yager

Since commonsense information has been recorded significantly less frequently than its existence, language models pre-trained by text generation have difficulty to learn sufficient commonsense knowledge. Several studies have leveraged text…

Computation and Language · Computer Science 2024-06-17 Wanqing Cui , Keping Bi , Jiafeng Guo , Xueqi Cheng