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Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

统计力学 · 物理学 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

There is a growing cross-disciplinary effort in the broad domain of optimization and learning with streams of data, applied to settings where traditional batch optimization techniques cannot produce solutions at time scales that match the…

最优化与控制 · 数学 2021-11-29 Emiliano Dall'Anese , Andrea Simonetto , Stephen Becker , Liam Madden

Consider a network design application where we wish to lay down a minimum-cost spanning tree in a given graph; however, we only have stochastic information about the edge costs. To learn the precise cost of any edge, we have to conduct a…

数据结构与算法 · 计算机科学 2017-11-02 Sahil Singla

In the theoretical modelling of a physical system a crucial step consists in the identification of those degrees of freedom that enable a synthetic, yet informative representation of it. While in some cases this selection can be carried out…

统计力学 · 物理学 2020-06-30 Marco Giulini , Roberto Menichetti , M. Scott Shell , Raffaello Potestio

Living systems, from single cells to higher vertebrates, receive a continuous stream of non-stationary inputs that they sense, e.g., via cell surface receptors or sensory organs. Integrating these time-varying, multi-sensory, and often…

其他定量生物学 · 定量生物学 2024-04-17 Daniel Koch , Akhilesh Nandan , Gayathri Ramesan , Aneta Koseska

Although it has been notoriously difficult to pin down precisely what it is that makes life so distinctive and remarkable, there is general agreement that its informational aspect is one key property, perhaps the key property. The unique…

适应与自组织系统 · 物理学 2012-12-20 Sara Imari Walker , Paul C. W. Davies

The information spectrum approach gives general formulae for optimal rates of codes in many areas of information theory. In this paper the quantum spectral divergence rates are defined and properties of the rates are derived. The entropic…

量子物理 · 物理学 2007-07-13 Garry Bowen , Nilanjana Datta

Complex networks usually exhibit a rich architecture organized over multiple intertwined scales. Information pathways are expected to pervade these scales reflecting structural insights that are not manifest from analyses of the network…

物理与社会 · 物理学 2022-09-16 Pablo Villegas , Andrea Gabrielli , Francesca Santucci , Guido Caldarelli , Tommaso Gili

In this paper, we wish to investigate the dynamics of information transfer in evolutionary dynamics. We use information theoretic tools to track how much information an evolving population has obtained and managed to retain about different…

种群与进化 · 定量生物学 2021-04-09 Nicholas Guttenberg

Physical systems are often simulated using a stochastic computation where different final states result from identical initial states. Here, we derive the minimum energy cost of simulating a complex data set of a general physical system…

数据分析、统计与概率 · 物理学 2015-05-30 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

Given two metastable states A and B of a biomolecular system, the problem is to calculate the likely paths of the transition from A to B. Such a calculation is more informative and more manageable if done for a reduced set of collective…

计算物理 · 物理学 2010-11-13 Ruijun Zhao , Juanfang Shen , Robert D. Skeel

The model of a side information "vending machine" (VM) accounts for scenarios in which the measurement of side information sequences can be controlled via the selection of cost-constrained actions. In this paper, the three-node cascade…

信息论 · 计算机科学 2012-07-13 Behzad Ahmadi , Chiranjib Choudhuri , Osvaldo Simeone , Urbashi Mitra

It was hypothesized that the structures of biological transport networks are the result of either energy consumption or adaptation dynamics. Although approaches based on these hypotheses can produce optimal network and form loop structures,…

生物物理 · 物理学 2024-09-13 Yawei Wang , Zilu Qin , Yubo Fan

The growth rate of organisms depends both on external conditions and on internal states, such as the expression levels of various genes. We show that to achieve a criterion mean growth rate over an ensemble of conditions, the internal…

种群与进化 · 定量生物学 2007-12-31 Samuel F. Taylor , Naftali Tishby , William Bialek

In this paper we formulate and study an optimal switching problem under partial information. In our model the agent/manager/investor attempts to maximize the expected reward by switching between different states/investments. However, he is…

最优化与控制 · 数学 2014-03-10 Kai Li , Kaj Nyström , Marcus Olofsson

Many biological regulatory systems process signals out of steady state and respond with a physiological delay. A simple model of regulation which respects these features shows how the ability of a delayed output to transmit information is…

分子网络 · 定量生物学 2013-08-13 Francesca Mancini , Chris H. Wiggins , Matteo Marsili , Aleksandra M. Walczak

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

社会与信息网络 · 计算机科学 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

统计力学 · 物理学 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

We show that spectral fluctuation of interaction matrices of yeast a core protein interaction network and a metabolic network follows the description of the Gaussian orthogonal ensemble (GOE) of random matrix theory (RMT). Furthermore, we…

分子网络 · 定量生物学 2009-11-11 Feng Luo , Jianxin Zhong , Yunfeng Yang , Richard H. Scheuermann , Jizhong Zhou

Presented with sensory challenges, living cells employ extensive noisy, fluctuating signalling and communication among themselves to compute a physiologically proper response which often results in symmetry breaking. We propose, based on…

生物物理 · 物理学 2022-06-17 Dean Korošak , Andraž Stožer , Marjan Slak Rupnik