Mean field model checkingCollective Adaptive SystemsDiscrete time markov chainsSelf-organisationGossip protocolsWe present FlyFast, a recently introduced on-the-fly mean field model checker for the verification of time-dependent probabilistic properties of individual objects in the context of large ...
The study of hypernuclei in the quark mean-field model are extended from single-$\Lambda $ hypernuclei to double-$\Lambda $ hypernuclei as well as $\Xi $ hypernuclei (double strangeness nuclei), with a broken SU(3) symmetry for the quark confinement potential. The strength of the potenti...
Glassy Order Parameter for the Hamiltonian Mean Field model We discuss a spin-glass Hamiltonian which can be used to study the anomalous glassy-like dynamics observed in the long-living metastable states of the Hamiltonian Mean Field (HMF) model. By means of the Replica formalism, we were able...
建议大家参看更为严格的物理推导: Franz Utermohlen: Notes on "Mean Field Theory Solution of the Ising Model" 接下来,我们来看看究竟在哪里做了近似,其实最直接的就是这里假设了\delta S_i \ \delta S_j \approx 0;在热扰动(thermal fluctuation)较小的时候,这个式子成立。物理上来理解,在维度较低的时候,...
Non-mean-field critical exponent in a mean-field model: Dynamics versus statistical mechanics. Phys. Rev. E, 89(3):032131, 2014. S Ogawa,A Patelli,YY Yamaguchi 被引量: 0发表: 2013年 Aggregation kinetics of paramagnetic colloidal particles Magnetic‐field‐induced chain formation of ...
We investigate a mean field game model for the production of exhaustible resources. In this model, firms produce comparable goods, strategically set their production rate in order to maximise profit, and leave the market as soon as they deplete their capacities. We examine the related Mean Field...
Microcanonical solution of the mean-field model: Comparison with time averages at finite size A. Campa and S. Ruffo. Microcanonical solution of the mean-field φ4 model: Comparison with time averages at finite size. Physica A, 369(2):517-... Alessandro,Campa,and,... - 《Physica A ...
We formulate and study a mean-field game model whose behavior mimics an empirically derived non-local homogeneous flocking model for agents with gradient self-propulsion dynamics. The mean-field game framework provides a non-cooperative optimal control description of the behavior of a population of ...
下面一个工作讲的是如何在 mean-field 这样的建模下,通过 model-free online RL 来求解。 下面这篇文章讲的是 mean-field 这样的场景下如何设计有效的 offline RL 算法。 最后这个工作是今年 AAAI 的一个工作,讲的是每个智能体都维护一个 local 的 mean-field variable,这样算法就可以做成完全 local 的了,这样...
这些DNN 的直觉理解恰好完全可以利用现有的平均场理论(Mean Field Theory,MFT)来描述和分析[1],同时 MFT 也可以用来描述与分析特定 DNN的训练过程[2]和探讨DNN的泛化性能及其关键因素[3] 从MFT的角度来研究DNN的初始化,可以发现两个影响网络训练的性质: ...