arXiv - PHYS - Cellular Automata and Lattice Gases最新文献_第4页

Quest for the golden ratio universality class 追求黄金比例普适性类

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-29 DOI: arxiv-2310.19116

V. Popkov, and G. M. Schütz

引用次数: 0

Exploring Multiple Neighborhood Neural Cellular Automata (MNNCA) for Enhanced Texture Learning 探索多邻域神经细胞自动机(MNNCA)用于增强纹理学习

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-27 DOI: arxiv-2311.16123

Magnus Petersen

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The role of intra- and inter-group Matthew effect in the social dilemma of public goods games 群体内与群体间马太效应在公共物品博弈社会困境中的作用

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-23 DOI: arxiv-2310.14836

Chaoqian Wang

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Boolean Networks as Predictive Models of Emergent Biological Behaviors 布尔网络作为紧急生物行为的预测模型

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-19 DOI: arxiv-2310.12901

Jordan C. Rozum, Colin Campbell, Eli Newby, Fatemeh Sadat Fatemi Nasrollahi, Reka Albert

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Emergence and criticality in spatiotemporal synchronization: the complementarity model 时空同步中的涌现与临界:互补模型

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-18 DOI: arxiv-2310.12018

Alessandro Scirè

{"title":"Emergence and criticality in spatiotemporal synchronization: the complementarity model","authors":"Alessandro Scirè","doi":"arxiv-2310.12018","DOIUrl":"https://doi.org/arxiv-2310.12018","url":null,"abstract":"This work concerns the long-term dynamics of a spatiotemporal many-body\u0000deterministic model that exhibits emergence and self-organization, and which\u0000has been recently proposed as a new paradigm for Artificial Life. Collective\u0000structures emerge in the form of dynamic networks, created by bursts of\u0000spatiotemporal activity (avalanches) at the edge of a synchronization phase\u0000transition. The spatiotemporal dynamics is portraited by a motion picture and\u0000quantified by time varying collective parameters, which revealed that the\u0000dynamic networks undergo a \"life cycle\", made of self-creation,\u0000self-regulation, and self-destruction. The power spectra of the collective\u0000parameters show 1/f power-law tails, and the statistical properties of the\u0000avalanches, evaluated in terms of their size and durations, show power laws\u0000with characteristic exponents in agreement with those values found in the\u0000literature concerning neural networks. The mechanism underlying avalanches is\u0000discussed in terms of local-to-collective excitability. Finally, the\u0000connections that link the present work to self-organized criticality, neural\u0000networks and artificial life are discussed.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138532796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fitting Stochastic Lattice Models Using Approximate Gradients 用近似梯度拟合随机格模型

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-12 DOI: arxiv-2310.08305

Jan Schering, Sander Keemink, Johannes Textor

{"title":"Fitting Stochastic Lattice Models Using Approximate Gradients","authors":"Jan Schering, Sander Keemink, Johannes Textor","doi":"arxiv-2310.08305","DOIUrl":"https://doi.org/arxiv-2310.08305","url":null,"abstract":"Stochastic lattice models (sLMs) are computational tools for simulating\u0000spatiotemporal dynamics in physics, computational biology, chemistry, ecology,\u0000and other fields. Despite their widespread use, it is challenging to fit sLMs\u0000to data, as their likelihood function is commonly intractable and the models\u0000non-differentiable. The adjacent field of agent-based modelling (ABM), faced\u0000with similar challenges, has recently introduced an approach to approximate\u0000gradients in network-controlled ABMs via reparameterization tricks. This\u0000approach enables efficient gradient-based optimization with automatic\u0000differentiation (AD), which allows for a directed local search of suitable\u0000parameters rather than estimation via black-box sampling. In this study, we\u0000investigate the feasibility of using similar reparameterization tricks to fit\u0000sLMs through backpropagation of approximate gradients. We consider four common\u0000scenarios: fitting to single-state transitions, fitting to trajectories,\u0000inference of lattice states, and identification of stable lattice\u0000configurations. We demonstrate that all tasks can be solved by AD using four\u0000example sLMs from sociology, biophysics, image processing, and physical\u0000chemistry. Our results show that AD via approximate gradients is a promising\u0000method to fit sLMs to data for a wide variety of models and tasks.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138532835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Why it is sufficient to consider only the case where the seed of linear cellular automata is $1$ 为什么只考虑线性元胞自动机的种子是$1$的情况就足够了

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-11 DOI: arxiv-2310.07167

Akane Kawaharada

引用次数: 0

Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion 尖锋集体细胞迁移和入侵的离散和连续数学模型

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-11 DOI: arxiv-2310.07938

Matthew J Simpson, Keeley M Murphy, Scott W McCue, Pascal R Buenzli

{"title":"Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion","authors":"Matthew J Simpson, Keeley M Murphy, Scott W McCue, Pascal R Buenzli","doi":"arxiv-2310.07938","DOIUrl":"https://doi.org/arxiv-2310.07938","url":null,"abstract":"Mathematical models describing the spatial spreading and invasion of\u0000populations of biological cells are often developed in a continuum modelling\u0000framework using reaction-diffusion equations. While continuum models based on\u0000linear diffusion are routinely employed and known to capture key experimental\u0000observations, linear diffusion fails to predict well-defined sharp fronts that\u0000are often observed experimentally. This observation has motivated the use of\u0000nonlinear degenerate diffusion, however these nonlinear models and the\u0000associated parameters lack a clear biological motivation and interpretation.\u0000Here we take a different approach by developing a stochastic discrete\u0000lattice-based model incorporating biologically-inspired mechanisms and then\u0000deriving the reaction-diffusion continuum limit. Inspired by experimental\u0000observations, agents in the simulation deposit extracellular material, that we\u0000call a substrate, locally onto the lattice, and the motility of agents is taken\u0000to be proportional to the substrate density. Discrete simulations that mimic a\u0000two--dimensional circular barrier assay illustrate how the discrete model\u0000supports both smooth and sharp-fronted density profiles depending on the rate\u0000of substrate deposition. Coarse-graining the discrete model leads to a novel\u0000partial differential equation (PDE) model whose solution accurately\u0000approximates averaged data from the discrete model. The new discrete model and\u0000PDE approximation provides a simple, biologically motivated framework for\u0000modelling the spreading, growth and invasion of cell populations with\u0000well-defined sharp fronts","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138532828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Fully Quantum Algorithm for Hydrodynamic Lattice Gas Cellular Automata 流体动力点阵气体元胞自动机的全量子算法

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-11 DOI: arxiv-2310.07362

Niccolo Fonio, Pierre Sagaut, Giuseppe Di Molfetta

引用次数: 0

Macroscopic Manifestations of Traffic Waves in Microscopic Models 交通波在微观模型中的宏观表现

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-10-09 DOI: arxiv-2310.05357

Nour Khoudari, Rabie Ramadan, Megan Ross, Benjamin Seibold

{"title":"Macroscopic Manifestations of Traffic Waves in Microscopic Models","authors":"Nour Khoudari, Rabie Ramadan, Megan Ross, Benjamin Seibold","doi":"arxiv-2310.05357","DOIUrl":"https://doi.org/arxiv-2310.05357","url":null,"abstract":"Traffic waves can rise even from single lane car-following behaviour. To\u0000better understand and mitigate traffic waves, it is necessary to use analytical\u0000tools like mathematical models, data analysis, and micro-simulations that can\u0000capture the dynamics of real traffic flow. In this study, we isolate\u0000car-following dynamics and present a systematic hierarchy of tests that connect\u0000the microscopic scale with the meaningful macroscopic effective state in the\u0000presence of waves. This allows insights with precise attributable\u0000cause-to-effect relationships of specific observed traffic patterns. We\u0000establish a principled way of generating macroscopic flow quantities from\u0000microscopic models in the unstable regime. Those quantities are then used to\u0000study how the corresponding non-equilibrium wave structures manifest in the\u0000fundamental diagram, based on three basic scenarios that can serve as building\u0000blocks for understanding more complex micro-simulation studies. Finally, this\u0000study gives insight on the shapes of the reduced fundamental diagrams for\u0000different commonly used microscopic models.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"89 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138532847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0