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A unified combinatorial definition of the information content and entropy of different types of patterns, compatible with the traditional concepts of information and entropy, going beyond the limitations of Shannon information interpretable…

信息论 · 计算机科学 2025-01-22 Zsolt Pocze

Shannon information theory is established based on probability and bits, and the communication technology based on this theory realizes the information age. The original goal of Shannon's information theory is to describe and transmit…

信号处理 · 电气工程与系统科学 2023-03-28 Guangming Shi , Dahua Gao , Shuai Ma , Minxi Yang , Yong Xiao , Xuemei Xie

In this paper we split every basic propositional connective into two versions, one is called extensional and the other one intensional. The extensional connectives are semantically characterized by standard truth conditions that are…

计算机科学中的逻辑 · 计算机科学 2022-04-15 Vít Punčochář , Berta Grimau

Information complexity is the interactive analogue of Shannon's classical information theory. In recent years this field has emerged as a powerful tool for proving strong communication lower bounds, and for addressing some of the major open…

计算复杂性 · 计算机科学 2015-04-28 Omri Weinstein

In inverse problems, one attempts to infer spatially variable functions from indirect measurements of a system. To practitioners of inverse problems, the concept of "information" is familiar when discussing key questions such as which parts…

The representations of conditional entropy and conditional mutual information are significant in explaining the unique effects among variables. While previous studies based on conditional contrastive sampling have effectively removed…

机器学习 · 计算机科学 2025-01-07 Keng Hou Leong , Yuxuan Xiu , Wai Kin , Chan

Mutual Information (MI) is an useful tool for the recognition of mutual dependence berween data sets. Differen methods for the estimation of MI have been developed when both data sets are discrete or when both data sets are continuous. The…

应用统计 · 统计学 2017-08-30 Miguel A. Ré , Guillermo G. Aguirre Varela

This work introduces a framework for quantifying the information content of logical propositions through the use of implication hypergraphs. We posit that a proposition's informativeness is primarily determined by its relationships with…

逻辑 · 数学 2025-11-14 Vibhu Dalal

While word embeddings have been shown to implicitly encode various forms of attributional knowledge, the extent to which they capture relational information is far more limited. In previous work, this limitation has been addressed by…

计算与语言 · 计算机科学 2019-06-05 Jose Camacho-Collados , Luis Espinosa-Anke , Steven Schockaert

"Standard" information theory says nothing about the semantic content of information. Nevertheless, applications such as evolutionary theory demand consideration of precisely this aspect of information, a need that has motivated a largely…

适应与自组织系统 · 物理学 2007-05-23 Edward D. Weinberger

Biologists rely heavily on the language of information, coding, and transmission that is commonplace in the field of information theory as developed by Claude Shannon, but there is open debate about whether such language is anything more…

种群与进化 · 定量生物学 2008-10-24 C. T. Bergstrom , M. Rosvall

Information theory is an outstanding framework to measure uncertainty, dependence and relevance in data and systems. It has several desirable properties for real world applications: it naturally deals with multivariate data, it can handle…

Can we learn more from data than existed in the generating process itself? Can new and useful information be constructed from merely applying deterministic transformations to existing data? Can the learnable content in data be evaluated…

机器学习 · 计算机科学 2026-03-17 Marc Finzi , Shikai Qiu , Yiding Jiang , Pavel Izmailov , J. Zico Kolter , Andrew Gordon Wilson

Information-theoretic measures have been widely adopted in the design of features for learning and decision problems. Inspired by this, we look at the relationship between i) a weak form of information loss in the Shannon sense and ii) the…

机器学习 · 计算机科学 2022-01-03 Jorge F. Silva , Felipe Tobar , Mario Vicuña , Felipe Cordova

The purpose of this article is to provide an overall critical appraisal of Integrated Information Theory(IIT) of consciousness. We explore how it has evolved and what problems are involved in the theory. IIT is a hypothesis that…

神经元与认知 · 定量生物学 2018-10-02 Kyumin Moon , Hongju Pae

A new conceptual foundation for the notion of "information" is proposed, based on the concept of a "distinction graph": a graph in which two nodes are connected iff they cannot be distinguished by a particular observer. The "graphtropy" of…

人工智能 · 计算机科学 2019-02-05 Ben Goertzel

We frame entanglement detection as a problem of random variable inference to introduce a quantitative method to measure and understand whether entanglement witnesses lead to an efficient procedure for that task. Hence we quantify how many…

量子物理 · 物理学 2023-08-16 Paulo J. Cavalcanti , Giovanni Scala , Antonio Mandarino , Cosmo Lupo

Whatever information a deep neural network has gleaned from training data is encoded in its weights. How this information affects the response of the network to future data remains largely an open question. Indeed, even defining and…

机器学习 · 计算机科学 2020-06-23 Alessandro Achille , Giovanni Paolini , Stefano Soatto

This dissertation explores the linguistic and computational aspects of the meaning relations that can hold between two or more complex linguistic expressions (phrases, clauses, sentences, paragraphs). In particular, it focuses on…

计算与语言 · 计算机科学 2022-08-11 Venelin Kovatchev

A central concept within informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires an interpretation of logical formulae in terms of the…

计算机科学中的逻辑 · 计算机科学 2024-05-13 Alexander V. Gheorghiu , Tao Gu , David J. Pym