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I propose here a new concept of information based on two relevant aspects of its expression. The first related to the undeniable fact that the expression of information modifies the physical state of its receiver. The second to the…

Populations and Evolution · Quantitative Biology 2007-05-23 Antonio Leon

The information bottleneck (IB) principle has been suggested as a way to analyze deep neural networks. The learning dynamics are studied by inspecting the mutual information (MI) between the hidden layers and the input and output. Notably,…

Machine Learning · Computer Science 2022-02-15 Stephan Sloth Lorenzen , Christian Igel , Mads Nielsen

Many information sources are considered into data fusion in order to improve the decision in terms of uncertainty and imprecision. For each technique used for data fusion, the asumption on independance is usually made. We propose in this…

Artificial Intelligence · Computer Science 2015-01-23 Mouloud Kharoune , Arnaud Martin

This paper addresses a new approach to find a spectrum of information measures for the process of digital circuit synthesis. We consider the problem from the information engine point of view. The circuit synthesis as a whole and different…

Hardware Architecture · Computer Science 2007-05-23 Denis V. Popel , Nawar Al-Hakeem

Information theory is concerned with the study of transmission, processing, extraction, and utilization of information. In its most abstract form, information is conceived as a means of resolving uncertainty. Shannon and Weaver (1949) were…

Computers and Society · Computer Science 2021-12-08 Birgitta Dresp-Langley

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

A core feature of complex systems is that the interactions between elements in the present causally constrain each-other as the system evolves through time. To fully model all of these interactions (between elements, as well as ensembles of…

Neurons and Cognition · Quantitative Biology 2023-04-26 Thomas F. Varley

This paper critically assesses the anti-functionalist stance on consciousness adopted by certain advocates of integrated information theory (IIT), a corollary of which is that human-level artificial intelligence implemented on conventional…

Artificial Intelligence · Computer Science 2015-09-08 Murray Shanahan

A measurement performed on a quantum system is an act of gaining information about its state, a view that is widespread in practical and foundational work in quantum theory. However, the concept of information in quantum theory…

Quantum Physics · Physics 2025-12-23 Yang Yu , Philip Goyal

Information theory is a mathematical theory of learning with deep connections with topics as diverse as artificial intelligence, statistical physics, and biological evolution. Many primers on information theory paint a broad picture with…

Information Theory · Computer Science 2019-03-26 Philip Chodrow

Complex systems are found in most branches of science. It is still argued how to best quantify their complexity and to what end. One prominent measure of complexity (the statistical complexity) has an operational meaning in terms of the…

Data Analysis, Statistics and Probability · Physics 2011-10-24 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

Information theory and the framework of information dynamics have been used to provide tools to characterise complex systems. In particular, we are interested in quantifying information storage, information modification and information…

Information Theory · Computer Science 2013-03-25 Oliver Obst , Joschka Boedecker , Benedikt Schmidt , Minoru Asada

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…

Numerical Analysis · Mathematics 2025-02-12 Wolfgang Bangerth , Chris R. Johnson , Dennis K. Njeru , Bart van Bloemen Waanders

While information theory has been introduced to characterize the fundamental limitations of control and filtering for a few decades, the existing information-theoretic methods are indirect and cumbersome for analyzing the limitations of…

Information Theory · Computer Science 2026-02-03 Neng Wan , Dapeng Li , Naira Hovakimyan

Quantum information processing and computation requires high accuracy qubit configuration readout. In many practical schemes, the initial qubit configuration has to be inferred from readout that is a time-dependent weak measurement record.…

Quantum Physics · Physics 2025-12-17 Cesar Lema , Aleix Bou-Comas , Atithi Acharya , Vadim Oganesyan , Anirvan Sengupta

We propose a theoretical framework for approximate planning and learning in partially observed systems. Our framework is based on the fundamental notion of information state. We provide two equivalent definitions of information state -- i)…

Machine Learning · Computer Science 2021-09-07 Jayakumar Subramanian , Amit Sinha , Raihan Seraj , Aditya Mahajan

We recall some of the history of the information-theoretic approach to deriving core results in probability theory and indicate parts of the recent resurgence of interest in this area with current progress along several interesting…

Probability · Mathematics 2022-04-28 Lampros Gavalakis , Ioannis Kontoyiannis

Information fusion is an advanced research area which can assist decision makers in enhancing their decisions. This paper aims at designing a new multi-layer framework that can support the process of performing decisions from the obtained…

Artificial Intelligence · Computer Science 2015-02-24 Tamer M. Abo Neama , Ismail A. Ismail , Tarek S. Sobh , M. Zaki

To formulate a universal framework of information theory is beneficial. This study proves that the sextuple model of the objective information theory (OIT) is a sufficient and necessary condition for discussing information with four basic…

Information Theory · Computer Science 2022-12-13 Jianfeng Xu

This work presents a systematic study of objective evaluations of abstaining classifications using Information-Theoretic Measures (ITMs). First, we define objective measures for which they do not depend on any free parameter. This…

Computer Vision and Pattern Recognition · Computer Science 2012-08-16 Bao-Gang Hu , Ran He , XiaoTong Yuan