接下来这篇文章把半监督学习问题用 Ising 模型来建模,并且使用平均场方法(naive mean field approach)来解决。文章还指出,贝叶斯方法和该方法在本质上的联系;特别地,半监督学习问题的本质就是要利用数据标签在数据空间上的平滑特性,可以把数据空间建模为一个图(graph),这又和我们前面在研究的 spectral graph theory ...
The mean-field theory has been considered as applied to the system of magnetic and nonmagnetic atoms at thermal equilibrium. The phase diagrams and the dependence of the magnetization on the density of magnetic atoms have been found in the Ising model with mobile nonmagnetic impurities. In the ...
We discuss the mean field treatments of the kinetic Ising model. We review the general properties of the equations describing the evolution of the local concentrations (or magnetizations) as well as the short-range order parameters. We also discuss the p
A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the absence of ferromagnetic order in $d\\le 2$ space ...
Hard spin mean field theory for an Ising model with pair and three site interactionsTheoretical or Mathematical/ antiferromagnetismIsing modelmagnetic transitionsmagnetisation/ hard spin mean field theoryIsing modelthree site interactionsphase diagrams
Ising Model and Kinetic Mean Field Theories 来自 Semantic Scholar 喜欢 0 阅读量: 25 作者: F Ducastelle 摘要: We discuss the mean field treatments of the kinetic Ising model. We review the general properties of the equations describing the evolution of the local concentrations (or ...
12 An Overview of Knots and Gauge Theory 1:44:53 Differential Equations and Algebraic Geometry - 5 56:56 Estimating transport distances via Stein's method 1:00:09 Recent progress on random field Ising model-丁剑 51:45 Single-molecule insights for DNA_RNA_protein interactions and drug discovery...
The Mean Field Theory for Percolation Models of the Ising Type The q=2 q=2 random cluster model is studied in the context of two mean field models: The Bethe lattice and the complete graph. For these systems, the critical exponents that are defined in terms of finite clusters have some ...
12 An Overview of Knots and Gauge Theory 1:44:53 Differential Equations and Algebraic Geometry - 5 56:56 Estimating transport distances via Stein's method 1:00:09 Recent progress on random field Ising model-丁剑 51:45 Single-molecule insights for DNA_RNA_protein interactions and drug discovery...
Topics covered include the microcanonical, canonical, and grand canonical ensembles, Liouville's Theorem, Kinetic Theory, non-interacting Fermi and Bose systems and phase transitions, and the Ising model. Detailed steps are given in mathematical derivations, allowing students to quickly develop a deep ...