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What is information? Is it physical? We argue that in a Bayesian theory the notion of information must be defined in terms of its effects on the beliefs of rational agents. Information is whatever constrains rational beliefs and therefore…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Ariel Caticha

The paper presents a lightweight discussion of relations between energy, entropy, information, and intelligence, based on an analysis of the energy needed for computation.

Classical Physics · Physics 2012-10-29 Vladimir Cerny

Along with the rapid developments in communication technologies and the surge in the use of mobile devices, a brand-new computation paradigm, Edge Computing, is surging in popularity. Meanwhile, Artificial Intelligence (AI) applications are…

Networking and Internet Architecture · Computer Science 2020-05-20 Shuiguang Deng , Hailiang Zhao , Weijia Fang , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

We identify fundamental issues with discretization when estimating information-theoretic quantities in the analysis of data. These difficulties are theoretical in nature and arise with discrete datasets carrying significant implications for…

Quantitative Methods · Quantitative Biology 2014-06-24 Venkateshan Kannan , Jesper Tegnèr

Due to the ever-increasing popularity of resource-hungry and delay-constrained mobile applications, the computation and storage capabilities of remote cloud has partially migrated towards the mobile edge, giving rise to the concept known as…

Computer Science and Game Theory · Computer Science 2017-11-27 Shermila Ranadheera , Setareh Maghsudi , Ekram Hossain

Census data provide detailed information about population characteristics at a coarse resolution. Nevertheless, fine-grained, high-resolution mappings of population counts are increasingly needed to characterize population dynamics and to…

Machine Learning · Computer Science 2019-07-02 Guillaume Derval , Frédéric Docquier , Pierre Schaus

An outstanding problem in neuroscience is to understand how information is integrated across the many modules of the brain. While classic information-theoretic measures have transformed our understanding of feedforward information…

Neurons and Cognition · Quantitative Biology 2019-02-12 Daniel Toker , Friedrich T. Sommer

The increasing power of computer technology does not dispense with the need to extract meaningful in- formation out of data sets of ever growing size, and indeed typically exacerbates the complexity of this task. To tackle this general…

Physics and Society · Physics 2016-06-22 M. Zanin , D. Papo , P. A. Sousa , E. Menasalvas , A. Nicchi , E. Kubik , S. Boccaletti

We propose a clustering-based iterative algorithm to solve certain optimization problems in machine learning, where we start the algorithm by aggregating the original data, solving the problem on aggregated data, and then in subsequent…

Machine Learning · Statistics 2017-01-23 Young Woong Park , Diego Klabjan

Federated Learning has emerged as a transformative paradigm for collaborative machine learning across distributed environments. However, its performance is strongly influenced by the aggregation strategy used to combine local model updates…

Machine Learning · Computer Science 2026-05-13 Antonios Makris , Christos Dousis , Emmanouil Kritharakis , Stavros Bouras , Konstantinos Tserpes

The data augmentation (DA) algorithm is a simple and powerful tool in statistical computing. In this note basic information theory is used to prove a nontrivial convergence theorem for the DA algorithm.

Information Theory · Computer Science 2009-09-12 Yaming Yu

The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far…

Machine Learning · Computer Science 2024-11-12 Tomer Berg , Or Ordentlich , Ofer Shayevitz

Reputation is a central element of social communications, be it with human or artificial intelligence (AI), and as such can be the primary target of malicious communication strategies. There is already a vast amount of literature on trust…

Physics and Society · Physics 2022-05-18 Torsten Enßlin , Viktoria Kainz , Céline Bœhm

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

We give efficient "collaboration protocols" through which two parties, who observe different features about the same instances, can interact to arrive at predictions that are more accurate than either could have obtained on their own. The…

Machine Learning · Computer Science 2025-04-09 Natalie Collina , Ira Globus-Harris , Surbhi Goel , Varun Gupta , Aaron Roth , Mirah Shi

Existing approaches to Theory of Mind (ToM) in Artificial Intelligence (AI) overemphasize prompted, or cue-based, ToM, which may limit our collective ability to develop Artificial Social Intelligence (ASI). Drawing from research in computer…

Artificial Intelligence · Computer Science 2024-02-22 Nikolos Gurney , David V. Pynadath , Volkan Ustun

This paper examines the interdisciplinary research question of how to integrate Computational Argumentation, as studied in AI, with Cognition, as can be found in Cognitive Science, Linguistics, and Philosophy. It stems from the work of the…

Artificial Intelligence · Computer Science 2021-11-16 Emmanuelle Dietz , Antonis Kakas , Loizos Michael

This study explores a new mathematical operator, symbolized as $\cupplus$, for information aggregation, aimed at enhancing traditional methods by directly amalgamating probability distributions. This operator facilitates the combination of…

Information Theory · Computer Science 2024-07-26 Heyang Gong

We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We explain the main concepts of this quantitative approach to defining `information'. We discuss the extent to which Kolmogorov's and Shannon's…

Information Theory · Computer Science 2008-09-17 Peter D. Grunwald , Paul M. B. Vitanyi

Information-theoretic limits of {\it cognitive radio} networks have been under exploration for more than a decade. Although such limits are unknown for many networks, including the simplest case with two pairs of transmitter-receiver, there…

Information Theory · Computer Science 2020-01-28 Mojtaba Vaezi