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The study of associations and their causal explanations is a central research activity whose methodology varies tremendously across fields. Even within specialized subfields, comparisons across textbooks and journals reveals that the basics…

Methodology · Statistics 2025-10-13 Sander Greenland

Large Language Models (LLMs) have shown impressive capabilities in various applications, but they still face various inconsistency issues. Existing works primarily focus on the inconsistency issues within a single LLM, while we…

Computation and Language · Computer Science 2024-11-15 Kai Xiong , Xiao Ding , Yixin Cao , Ting Liu , Bing Qin

Graph learning is a prevalent field that operates on ubiquitous graph data. Effective graph learning methods can extract valuable information from graphs. However, these methods are non-robust and affected by missing attributes in graphs,…

Machine Learning · Computer Science 2025-02-19 Riting Xia , Huibo Liu , Anchen Li , Xueyan Liu , Yan Zhang , Chunxu Zhang , Bo Yang

We propose a new, structured, logic-based framework for legal reasoning and argumentation: Instead of using a single, unstructured meaning space, theory graphs organize knowledge and inference into collections of modular meaning spaces…

Logic in Computer Science · Computer Science 2020-07-03 Max Rapp , Axel Adrian , Michael Kohlhase

This paper begins the exploration of what we call measures of association between two irreducible complex projective varieties of the same dimension. The idea is to study from various points of view the minimal complexity of correspondences…

Algebraic Geometry · Mathematics 2021-12-03 Robert Lazarsfeld , Olivier Martin

Learning to disentangle and represent factors of variation in data is an important problem in AI. While many advances have been made to learn these representations, it is still unclear how to quantify disentanglement. While several metrics…

Machine Learning · Computer Science 2022-05-10 Marc-André Carbonneau , Julian Zaidi , Jonathan Boilard , Ghyslain Gagnon

Reasoning is a fundamental capability for harnessing valuable insight, knowledge and patterns from knowledge graphs. Existing work has primarily been focusing on point-wise reasoning, including search, link predication, entity prediction,…

Artificial Intelligence · Computer Science 2020-11-09 Lihui Liu , Boxin Du , Heng Ji , Hanghang Tong

Background: Developers spend a lot of their time on understanding source code. Static code analysis tools can draw attention to code that is difficult for developers to understand. However, most of the findings are based on non-validated…

Software Engineering · Computer Science 2020-07-27 Marvin Muñoz Barón , Marvin Wyrich , Stefan Wagner

As various post hoc explanation methods are increasingly being leveraged to explain complex models in high-stakes settings, it becomes critical to develop a deeper understanding of whether and when the explanations output by these methods…

Machine Learning · Computer Science 2025-04-18 Satyapriya Krishna , Tessa Han , Alex Gu , Steven Wu , Shahin Jabbari , Himabindu Lakkaraju

Comparing alternatives in pairs is a very well known technique of ranking creation. The answer to how reliable and trustworthy ranking is depends on the inconsistency of the data from which it was created. There are many indices used for…

Discrete Mathematics · Computer Science 2020-01-28 Konrad Kułakowski , Dawid Talaga

We examine the notion of inconsistency in pairwise comparisons and propose an axiomatization which is independent of any method of approximation or the inconsistency indicator definition (e.g., Analytic Hierarchy Process, AHP). It has been…

Discrete Mathematics · Computer Science 2015-01-27 W. W. Koczkodaj , R. Szwarc

It is well-known that the size of propositional classical proofs can be huge. Proof theoretical studies discovered exponential gaps between normal or cut free proofs and their respective non-normal proofs. The aim of this work is to study…

Logic in Computer Science · Computer Science 2014-04-02 Marcela Quispe-Cruz , Edward Hermann Haeusler , Lew Gordeev

Processing information, acquired by subjective assessments, involves inconsistency analysis in most (if not all) applications of which some are of considerable importance at a national level (see, Koczkodaj/Kulakowski/Ligenza,…

Discrete Mathematics · Computer Science 2015-08-06 W. W. Koczkodaj , J. Szybowski

Model analysis provides a mechanism for representing student learning as measured by standard multiple-choice surveys. The model plot contains information regarding both how likely students in a particular class are to choose the correct…

Physics Education · Physics 2016-10-12 Trevor I. Smith

Rule learning approaches for knowledge graph completion are efficient, interpretable and competitive to purely neural models. The rule aggregation problem is concerned with finding one plausibility score for a candidate fact which was…

Artificial Intelligence · Computer Science 2023-09-04 Patrick Betz , Stefan Lüdtke , Christian Meilicke , Heiner Stuckenschmidt

The quest for a scientific description of consciousness has given rise to new theoretical and empirical paradigms for the investigation of phenomenological contents as well as clinical disorders of consciousness. An outstanding challenge in…

Neurons and Cognition · Quantitative Biology 2018-01-12 Xerxes D. Arsiwalla , Paul Verschure

The rash development of knowledge graph research has brought big driving force to its application in many areas, including the medicine and healthcare domain. However, we have found that the application of some major information processing…

Artificial Intelligence · Computer Science 2026-01-23 Chuanqing Wang , Zhenmin Zhao , Shanshan Du , Chaoqun Fei , Songmao Zhang , Ruqian Lu

There is arbitrariness in optimum solutions of graph-theoretic problems that can give rise to unfairness. Incorporating fairness in such problems, however, can be done in multiple ways. For instance, fairness can be defined on an individual…

Optimization and Control · Mathematics 2023-11-28 Christopher Hojny , Frits Spieksma , Sten Wessel

Knowledge graph reasoning is the fundamental component to support machine learning applications such as information extraction, information retrieval, and recommendation. Since knowledge graphs can be viewed as the discrete symbolic…

Artificial Intelligence · Computer Science 2021-04-01 Jing Zhang , Bo Chen , Lingxi Zhang , Xirui Ke , Haipeng Ding

As deep neural networks are highly expressive, it is important to find solutions with small generalization gap (the difference between the performance on the training data and unseen data). Focusing on the stochastic nature of training, we…

Machine Learning · Computer Science 2023-10-31 Rie Johnson , Tong Zhang
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