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The introduced entropy functional's (EF) information measure of random process integrates multiple information contributions along the process trajectories, evaluating both the states' and between states' bound information connections. This…

适应与自组织系统 · 物理学 2014-06-04 Vladimir S. Lerner

Research toward powerful information processing systems that circumvent the interconnect bottleneck by exploiting the nonlinear evolution of multiple phase dynamics in locally connected arrays is discussed. We focus on a scheme in which…

神经与进化计算 · 计算机科学 2016-03-23 Richard A. Kiehl

A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

统计金融 · 定量金融 2018-08-01 Linda Ponta , Anna Carbone

Fisher information and Shannon entropy are fundamental tools for understanding and analyzing dynamical systems from complementary perspectives. They can characterize unknown parameters by quantifying the information contained in variables,…

信息论 · 计算机科学 2025-12-19 Yuxuan Bao , J. Nathan Kutz

We illustrate an application of Algorithmic Information Dynamics to Cellular Automata (CA) demonstrating how this digital calculus is able to quantify change in discrete dynamical systems. We demonstrate the sensitivity of the Block…

信息论 · 计算机科学 2022-01-14 Hector Zenil , Alyssa Adams

Signal processing and Information theory are two disparate fields used for characterizing signals for various scientific and engineering applications. Spectral/Fourier analysis, a technique employed in signal processing, helps estimation of…

信息论 · 计算机科学 2023-09-22 Aditi Kathpalia , Nithin Nagaraj

Critical points separate distinct dynamical regimes of complex systems, often delimiting functional or macroscopic phases in which the system operates. However, the long-term prediction of critical regimes and behaviors is challenging given…

物理与社会 · 物理学 2025-04-15 Xiangrong Wang , Dan Lu , Zongze Wu , Weina Xu , Hongru Hou , Yanqing Hu , Yamir Moreno

We show that a rate of conditional Shannon entropy reduction, characterizing the learning of an internal process about an external process, is bounded by the thermodynamic entropy production. This approach allows for the definition of an…

生物物理 · 物理学 2014-11-07 Andre C. Barato , David Hartich , Udo Seifert

Financial markets of emerging economies are vulnerable to extreme and cascading information spillovers, surges, sudden stops and reversals. With this in mind, we develop a new online early warning system (EWS) to detect what is referred to…

计量经济学 · 经济学 2025-05-21 Artem Kraevskiy , Artem Prokhorov , Evgeniy Sokolovskiy

The problems of causality, modeling, and control for chaotic, high-dimensional dynamical systems are formulated in the language of information theory. The central quantity of interest is the Shannon entropy, which measures the amount of…

动力系统 · 数学 2022-06-01 Adrián Lozano-Durán , Gonzalo Arranz

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

元胞自动机与格子气 · 物理学 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

Locally interacting dynamical systems, such as epidemic spread, rumor propagation through crowd, and forest fire, exhibit complex global dynamics originated from local, relatively simple, and often stochastic interactions between dynamic…

系统与控制 · 电气工程与系统科学 2024-05-29 Beomseok Kang , Harshit Kumar , Minah Lee , Biswadeep Chakraborty , Saibal Mukhopadhyay

We introduce a notion of emergence for coarse-grained macroscopic variables associated with highly-multivariate microscopic dynamical processes, in the context of a coupled dynamical environment. Dynamical independence instantiates the…

适应与自组织系统 · 物理学 2023-07-26 Lionel Barnett , Anil K. Seth

The subject of this paper is the evolution of the concept of information processing in regular structures based on multi-level processing in nested cellular automata. The essence of the proposed model is a discrete space-time containing…

神经与进化计算 · 计算机科学 2022-10-13 Jerzy Szynka

We describe how to analyze the wide class of non stationary processes with stationary centered increments using Shannon information theory. To do so, we use a practical viewpoint and define ersatz quantities from time-averaged probability…

信息论 · 计算机科学 2020-02-19 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas Garnier

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior based on the Ausloos-Clippe-Pekalski model is built and investigated. The influence of a discrete time information transfer is investigated.…

物理与社会 · 物理学 2015-06-26 Janusz Miskiewicz , Marcel Ausloos

Individual cellular automata rules are attractive models for a range of biological and physical self-assembling systems. While coexpression and coevolution are common in such systems, ensembles of cellular automata rules remain poorly…

元胞自动机与格子气 · 物理学 2007-07-26 Alexander D. Wissner-Gross

A new class of functions, called the `Information sensitivity functions' (ISFs), which quantify the information gain about the parameters through the measurements/observables of a dynamical system are presented. These functions can be…

统计方法学 · 统计学 2017-12-27 Sanjay Pant

This presentation's Part 3 studies the evolutionary information processes and regularities of evolution dynamics, evaluated by an entropy functional (EF) of a random field (modeled by a diffusion information process) and an informational…

适应与自组织系统 · 物理学 2012-08-17 Vladimir S. Lerner

Information flow provides a natural measure for the causal interaction between dynamical events. This study extends our previous rigorous formalism of componentwise information flow to the bulk information flow between two complex…

神经元与认知 · 定量生物学 2021-12-30 X. San Liang
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