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The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

物理与社会 · 物理学 2010-07-19 Dirk Helbing

In this article, we propose a sampling-based motion planning algorithm equipped with an information-theoretic convergence criterion for incremental informative motion planning. The proposed approach allows dense map representations and…

机器人学 · 计算机科学 2019-05-24 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

The question of how irreversibility can emerge as a generic phenomena when the underlying mechanical theory is reversible has been a long-standing fundamental problem for both classical and quantum mechanics. We describe a mechanism for the…

量子物理 · 物理学 2013-09-20 Cozmin Ududec , Nathan Wiebe , Joseph Emerson

The general framework of entropic dynamics is used to formulate a relational quantum dynamics. The main new idea is to use tools of information geometry to develop an entropic measure of the mismatch between successive configurations of a…

量子物理 · 物理学 2016-01-11 Selman Ipek , Ariel Caticha

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

适应与自组织系统 · 物理学 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively…

统计力学 · 物理学 2015-06-18 Torbjørn Helvik , Kristian Lindgren

Integrative modeling of macromolecular assemblies allows for structural characterization of large assemblies that are recalcitrant to direct experimental observation. A Bayesian inference approach facilitates combining data from…

生物大分子 · 定量生物学 2026-01-13 Shreyas Arvindekar , Kartik Majila , Shruthi Viswanath

As metabolomics datasets are becoming larger and more complex, there is an increasing need for model-based data integration and analysis to optimally leverage these data. Dynamical models of metabolism allow for the integration of…

定量方法 · 定量生物学 2023-11-29 Polina Lakrisenko , Daniel Weindl

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

动力系统 · 数学 2007-05-23 Vitor Araujo

Complexity science offers a wide range of measures for quantifying unpredictability, structure, and information. Yet, a systematic conceptual organization of these measures is still missing. We present a unified framework that locates…

机器学习 · 计算机科学 2025-05-13 Nima Dehghani

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

无序系统与神经网络 · 物理学 2016-10-17 Alaa Saade

Complex systems' modeling and simulation are powerful ways to investigate a multitude of natural phenomena providing extended knowledge on their structure and behavior. However, enhanced modeling and simulation require integration of…

We study a simple model of the stochastic information filtering, in a randomly organized information system. For simplest versions of the model it appears to be possible to describe the filtering dynamics in terms of the master equations.…

无序系统与神经网络 · 物理学 2009-11-07 I. S. Manida , Yu. M. Pis'mak

We show a data-driven approach to discover the underlying structural form of the mathematical equation governing the dynamics of multiple but similar systems induced by the same mechanisms. This approach hinges on theories that we lay out…

神经与进化计算 · 计算机科学 2019-08-29 Changwei Loh , Daniel Schneegass , Pengwei Tian

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

混沌动力学 · 物理学 2015-05-19 Erik M. Bollt , Jie Sun

Mathematical modelling is a cornerstone of computational biology. While mechanistic models might describe the interactions of interest of a system, they are often difficult to study. On the other hand, abstract models might capture key…

动力系统 · 数学 2025-05-01 Lucas Jesus Morales-Moya

The paper moves a step towards the full integration of statistical mechanics and information theory. Starting from the assumption that the thermodynamical system is composed by particles whose quantized energies can be modelled as…

统计力学 · 物理学 2023-02-01 Arnaldo Spalvieri

Extraction of structure, in particular of group symmetries, is increasingly crucial to understanding and building intelligent models. In particular, some information-theoretic models of parsimonious learning have been argued to induce…

信息论 · 计算机科学 2025-07-08 Hippolyte Charvin , Nicola Catenacci Volpi , Daniel Polani

Mathematical models are increasingly a part of microbiological research. Here, we share our perspective on how modeling advances the discipline by: (i) enforcing logical consistency, (ii) enabling quantitative prediction, (iii) extracting…

其他定量生物学 · 定量生物学 2026-04-22 Jamie A. Lopez , Amir Erez

Complex systems have become a popular lens for analyzing cities and complexity theory has many implications for urban performance and resilience. This paper develops a typology of measures and indicators for assessing the physical…

物理与社会 · 物理学 2018-10-05 Geoff Boeing