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Concept-based explanations have emerged as a popular way of extracting human-interpretable representations from deep discriminative models. At the same time, the disentanglement learning literature has focused on extracting similar…

Machine Learning · Computer Science 2021-04-15 Dmitry Kazhdan , Botty Dimanov , Helena Andres Terre , Mateja Jamnik , Pietro Liò , Adrian Weller

We illustrate the general principle that complex analysis can be a good setting for posing problems that are best solved using techniques from other mathematical disciplines. Several examples are provided.

Complex Variables · Mathematics 2007-05-23 Steven G. Krantz

Spatial reasoning over text is challenging as the models not only need to extract the direct spatial information from the text but also reason over those and infer implicit spatial relations. Recent studies highlight the struggles even…

Computation and Language · Computer Science 2023-10-26 Roshanak Mirzaee , Parisa Kordjamshidi

Many economic theory models incorporate finiteness assumptions that, while introduced for simplicity, play a real role in the analysis. We provide a principled framework for scaling results from such models by removing these finiteness…

Computer Science and Game Theory · Computer Science 2023-04-11 Yannai A. Gonczarowski , Scott Duke Kominers , Ran I. Shorrer

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

This study intends to systematically disentangle pure logic reasoning and text understanding by investigating the contrast across abstract and contextualized logical problems from a comprehensive set of domains. We explore whether LLMs…

Computation and Language · Computer Science 2024-06-06 Wenyue Hua , Kaijie Zhu , Lingyao Li , Lizhou Fan , Shuhang Lin , Mingyu Jin , Haochen Xue , Zelong Li , JinDong Wang , Yongfeng Zhang

The standard assumptions that underlie many conceptual and quantitative frameworks do not hold for many complex physical, biological, and social systems. Complex systems science clarifies when and why such assumptions fail and provides…

Physics and Society · Physics 2020-11-11 Alexander F. Siegenfeld , Yaneer Bar-Yam

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

Disentangling the explanatory factors in complex data is a promising approach for generalizable and data-efficient representation learning. While a variety of quantitative metrics for learning and evaluating disentangled representations…

Machine Learning · Computer Science 2024-11-01 Yivan Zhang , Masashi Sugiyama

Argumentation theory is a powerful paradigm that formalizes a type of commonsense reasoning that aims to simulate the human ability to resolve a specific problem in an intelligent manner. A classical argumentation process takes into account…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , Gerardo I. Simari , Ignacio Viglizzo , Guillermo R. Simari

An argument can be seen as a pair consisting of a set of premises and a claim supported by them. Arguments used by humans are often enthymemes, i.e., some premises are implicit. To better understand, evaluate, and compare enthymemes, it is…

Artificial Intelligence · Computer Science 2024-11-14 Jonathan Ben-Naim , Victor David , Anthony Hunter

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the…

Computation and Language · Computer Science 2018-07-17 Joseph Corneli , Ursula Martin , Dave Murray-Rust , Gabriela Rino Nesin , Alison Pease

Exploration is a crucial skill for in-context reinforcement learning in unknown environments. However, it remains unclear if large language models can effectively explore a partially hidden state space. This work isolates exploration as the…

Machine Learning · Computer Science 2025-08-26 Tim Grams , Patrick Betz , Sascha Marton , Stefan Lüdtke , Christian Bartelt

A disentangled representation encodes information about the salient factors of variation in the data independently. Although it is often argued that this representational format is useful in learning to solve many real-world down-stream…

Machine Learning · Computer Science 2020-01-08 Sjoerd van Steenkiste , Francesco Locatello , Jürgen Schmidhuber , Olivier Bachem

Abstraction is a powerful idea widely used in science, to model, reason and explain the behavior of systems in a more tractable search space, by omitting irrelevant details. While notions of abstraction have matured for deterministic…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle

The roles played by decision factors in making complex subject are decisions are characterized by how these factors affect the overall decision. Evidence that partially matches a factor is evaluated, and then effective computational rules…

Artificial Intelligence · Computer Science 2013-04-15 Gerald Shao-Hung Liu

Conceptual Scaling is a useful standard tool in Formal Concept Analysis and beyond. Its mathematical theory, as elaborated in the last chapter of the FCA monograph, still has room for improvement. As it stands, even some of the basic…

Machine Learning · Computer Science 2023-07-25 Bernhard Ganter , Tom Hanika , Johannes Hirth

Argumentation is a process of evaluating and comparing a set of arguments. A way to compare them consists in using a ranking-based semantics which rank-order arguments from the most to the least acceptable ones. Recently, a number of such…

Artificial Intelligence · Computer Science 2016-02-03 Elise Bonzon , Jérôme Delobelle , Sébastien Konieczny , Nicolas Maudet

Abstract argumentation offers an appealing way of representing and evaluating arguments and counterarguments. This approach can be enhanced by a probability assignment to each argument. There are various interpretations that can be ascribed…

Artificial Intelligence · Computer Science 2014-05-15 Anthony Hunter , Matthias Thimm

In representation learning, a disentangled representation is highly desirable as it encodes generative factors of data in a separable and compact pattern. Researchers have advocated leveraging disentangled representations to complete…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Ruiqian Nai , Zixin Wen , Ji Li , Yuanzhi Li , Yang Gao
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