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Understanding the function of individual units in a neural network is an important building block for mechanistic interpretability. This is often done by generating a simple text explanation of the behavior of individual neurons or units.…

Machine Learning · Computer Science 2025-06-09 Tuomas Oikarinen , Ge Yan , Tsui-Wei Weng

The seven-valued logic considered in this paper naturally arises within the rough set framework, allowing to distinguish vagueness due to imprecision from ambiguity due to coarseness. Recently, we discussed its utility for reasoning about…

Artificial Intelligence · Computer Science 2024-06-07 Salvatore Greco , Roman Słowiński

The information entropy of a nuclear density distribution is calculated for a number of nuclei. Various phenomenological models for the density distribution using different geometry are employed. Nuclear densities calculated within various…

Nuclear Theory · Physics 2015-06-26 G. A. Lalazissis , S. E. Massen , C. P. Panos , S. S. Dimitrova

A new type of deterministic (non-probabilistic) computer logic system inspired by the stochasticity of brain signals is shown. The distinct values are represented by independent stochastic processes: independent voltage (or current) noises.…

General Physics · Physics 2010-04-05 Laszlo B. Kish

When language models answer open-ended problems, they implicitly make hidden decisions that shape their outputs, leaving users with uncontextualized answers rather than a working map of the problem; drawing on multiverse analysis from…

Human-Computer Interaction · Computer Science 2026-05-05 Andre Ye , Jenny Y. Huang , Alicia Guo , Rose Novick , Tamara Broderick , Mitchell L. Gordon

To cluster, classify and represent are three fundamental objectives of learning from high-dimensional data with intrinsic structure. To this end, this paper introduces three interpretable approaches, i.e., segmentation (clustering) via the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Kai-Liang Lu , Avraham Chapman

Feature selection methods are usually evaluated by wrapping specific classifiers and datasets in the evaluation process, resulting very often in unfair comparisons between methods. In this work, we develop a theoretical framework that…

Machine Learning · Statistics 2016-10-11 Cláudia Pascoal , M. Rosário Oliveira , António Pacheco , Rui Valadas

Understanding the importance of the inputs on the output is useful across many tasks. This work provides an information-theoretic framework to analyse the influence of inputs for text classification tasks. Natural language processing (NLP)…

Computation and Language · Computer Science 2024-02-05 Luran Wang , Mark Gales , Vatsal Raina

One of the crucial steps in scientific studies is to specify dependent relationships among factors in a system of interest. Given little knowledge of a system, can we characterize the underlying dependent relationships through observation…

Information Theory · Computer Science 2012-12-24 Shohei Hidaka

Spectral representations have been shown to provide an efficient way to represent the poorly understood high-density portion of the neutron-star equation of state. This paper shows how the efficiency and accuracy of those representations…

High Energy Astrophysical Phenomena · Physics 2022-04-13 Lee Lindblom

In this paper we argue that, to its detriment, transparency research overlooks many foundational concepts of artificial intelligence. As an illustrating example we focus on uncertainty quantification in the context of counterfactual…

Machine Learning · Computer Science 2026-05-19 Kacper Sokol , Santo M. A. R. Thies , Eyke Hüllermeier

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Robin A. A. Ince , Stefano Panzeri , Simon R. Schultz

A large amount of research about multimodal inference across text and vision has been recently developed to obtain visually grounded word and sentence representations. In this paper, we use logic-based representations as unified meaning…

Computation and Language · Computer Science 2019-06-11 Riko Suzuki , Hitomi Yanaka , Masashi Yoshikawa , Koji Mineshima , Daisuke Bekki

Automated decision making is often complicated by the complexity of the knowledge involved. Much of this complexity arises from the context sensitive variations of the underlying phenomena. We propose a framework for representing…

Artificial Intelligence · Computer Science 2013-03-25 Tze-Yun Leong

We provide a framework for reasoning about information-hiding requirements in multiagent systems and for reasoning about anonymity in particular. Our framework employs the modal logic of knowledge within the context of the runs and systems…

Cryptography and Security · Computer Science 2007-05-23 Joseph Y. Halpern , Kevin R. O'Neill

We introduce a proper multi-type display calculus for bilattice logic (with conflation) for which we prove soundness, completeness, conservativity, standard subformula property and cut-elimination. Our proposal builds on the product…

Logic · Mathematics 2017-09-08 Giuseppe Greco , Fei Liang , Alessandra Palmigiano , Umberto Rivieccio

One major deficiency of most semantic representation techniques is that they usually model a word type as a single point in the semantic space, hence conflating all the meanings that the word can have. Addressing this issue by learning…

Computation and Language · Computer Science 2016-08-08 Mohammad Taher Pilehvar , Nigel Collier

In this article, we try to formulate a definition of ''many-valued logical structure''. For this, we embark on a deeper study of Suszko's Thesis ($\mathbf{ST}$) and show that the truth or falsity of $\mathbf{ST}$ depends, at least, on the…

Logic · Mathematics 2026-03-03 Sayantan Roy , Sankha S. Basu , Mihir K. Chakraborty

In this book, for the first time we introduce the notion of neutrosophic algebraic structures for groups, loops, semigroups and groupoids; and also their neutrosophic N-algebraic structures. One is fully aware of the fact that many…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the…

Artificial Intelligence · Computer Science 2013-04-08 Henri Farrency , Henri Prade
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