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We present a new numerical approach that is able to solve the multi-dimensional radiative transfer equations in all opacity regimes on a Lagrangian, unstructured network of characteristics based on a stochastic point process. Our method…

天体物理学 · 物理学 2007-05-23 Jelle Ritzerveld , Vincent Icke , Erik-Jan Rijkhorst

We provide a general formula, based on stochastic thermodynamics, that describes the flow of information between an arbitrary number of coupled complex-valued Langevin equations. This permits to describe the transfer of information in…

统计力学 · 物理学 2020-04-09 Simone Borlenghi

Redundancy of experimental data is the basic statistic from which the complexity of a natural phenomenon and the proper number of experiments needed for its exploration can be estimated. The redundancy is expressed by the entropy of…

数据分析、统计与概率 · 物理学 2007-10-10 I. Grabec

Multielectrode arrays allow recording of the activity of many single neurons, from which correlations can be calculated. The functional roles of correlations can be revealed by the measures of the information conveyed by neuronal activity;…

统计力学 · 物理学 2009-09-25 Michele Bezzi , Mathew E. Diamond , Alessandro Treves

We lay a comprehensive foundation for the study of redundant information storage in decoherence processes. Redundancy has been proposed as a prerequisite for objectivity, the defining property of classical objects. We consider two ensembles…

量子物理 · 物理学 2009-11-11 Robin Blume-Kohout , W. H. Zurek

This article introduces a model-agnostic approach to study statistical synergy, a form of emergence in which patterns at large scales are not traceable from lower scales. Our framework leverages various multivariate extensions of Shannon's…

信息论 · 计算机科学 2019-09-18 Fernando Rosas , Pedro A. M. Mediano , Michael Gastpar , Henrik J. Jensen

Message passing neural networks iteratively generate node embeddings by aggregating information from neighboring nodes. With increasing depth, information from more distant nodes is included. However, node embeddings may be unable to…

机器学习 · 计算机科学 2024-03-29 Franka Bause , Samir Moustafa , Johannes Langguth , Wilfried N. Gansterer , Nils M. Kriege

Network cascade refers to diffusion processes in which outcome changes within part of an interconnected population trigger a sequence of changes across the entire network. These cascades are governed by underlying diffusion networks, which…

社会与信息网络 · 计算机科学 2025-06-25 Yubai Yuan , Siyu Huang , Abdul Basit Adeel

Cellular signaling networks have evolved to cope with intrinsic fluctuations, coming from the small numbers of constituents, and the environmental noise. Stochastic chemical kinetics equations govern the way biochemical networks process…

定量方法 · 定量生物学 2009-11-13 Yueheng Lan , Peter G. Wolynes , Garegin A. Papoian

We present a stochastic formalism for signal transduction processes in bacterial two-component system. Using elementary mass action kinetics, the proposed model takes care of signal transduction in terms of phosphotransfer mechanism between…

亚细胞过程 · 定量生物学 2014-03-26 Alok Kumar Maity , Arnab Bandyopadhyay , Pinaki Chaudhury , Suman K Banik

Distributed computation in artificial life and complex systems is often described in terms of component operations on information: information storage, transfer and modification. Information modification remains poorly described however,…

信息论 · 计算机科学 2013-10-10 Joseph T. Lizier , Benjamin Flecker , Paul L. Williams

Cellular decision making is based on regulatory circuits that associate signal thresholds to specific physiological actions. This transmission of information is subjected to molecular noise what can decrease its fidelity. Here, we show…

分子网络 · 定量生物学 2017-02-08 Guillermo Rodrigo , Juan F. Poyatos

Markov chains are fundamental models for stochastic dynamics, with applications in a wide range of areas such as population dynamics, queueing systems, reinforcement learning, and Monte Carlo methods. Estimating the transition matrix and…

统计理论 · 数学 2026-01-26 Lasse Leskelä , Maximilien Dreveton

Redundancy mechanisms consist in sending several copies of a same job to a subset of servers. It constitutes one of the most promising ways to exploit diversity in multiservers applications. However, its pros and cons are still not…

性能 · 计算机科学 2021-03-22 Elene Anton , Urtzi Ayesta , Matthieu Jonckheere , Ina Maria Verloop

Biochemical signal transduction, a form of molecular communication, can be modeled using graphical Markov channels with input-modulated transition rates. Such channel models are strongly non-Gaussian. In this paper we use a linear noise…

定量方法 · 定量生物学 2019-08-30 Gregory R. Hessler , Andrew W. Eckford , Peter J. Thomas

Noisy saltatory spike propagation along myelinated axons is studied within a stochastic Hodgkin-Huxley model. The intrinsic noise (whose strength is inverse proportional to the nodal membrane size) arising from fluctuations of the number of…

生物物理 · 物理学 2010-09-01 Yunyun Li , Gerhard Schmid , Peter Hanggi

The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional…

信息论 · 计算机科学 2018-01-31 Rui A. P. Perdigão

Queue networks describe complex stochastic systems of both theoretical and practical interest. They provide the means to assess alterations, diagnose poor performance and evaluate robustness across sets of interconnected resources. In the…

统计计算 · 统计学 2017-11-02 Iker Perez , David Hodge , Theodore Kypraios

In this paper, we introduce a nonlinear stochastic model to describe the propagation of information inside a computer processor. In this model, a computational task is divided into stages, and information can flow from one stage to another.…

概率论 · 数学 2024-11-26 Mohammad Daneshvar , Richard C. Barnard , Cory Hauck , Ilya Timofeyev

We present a theoretical formalism to study steady state information transmission in type 1 coherent feed-forward loop motif with an additive signal integration mechanism. Our construct allows a two-step cascade to be slowly transformed…

分子网络 · 定量生物学 2020-02-19 Md Sorique Aziz Momin , Ayan Biswas , Suman K Banik