NEURAL MULTIGRID METHODS FOR GAUGE-THEORIES AND OTHER DISORDERED-SYSTEMS

被引:9
作者
BAKER, M [1 ]
KALKREUTER, T [1 ]
MACK, G [1 ]
SPEH, M [1 ]
机构
[1] UNIV HAMBURG,INST THEORET PHYS 2,W-2000 HAMBURG 50,GERMANY
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS | 1993年 / 4卷 / 02期
关键词
MULTIGRID; NEURAL NETWORKS; DISORDERED SYSTEMS; GAUGE FIELDS; NEURAL MULTIGRID;
D O I
10.1142/S0129183193000252
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present evidence that multigrid works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder, but one needs to introduce a ''neural computations'' point of view into large scale simulations: First, the system must learn how to do the simulations efficiently, then do the simulation (fast). The method can also be used to provide smooth interpolation kernels which are needed in multigrid Monte Carlo updates.
引用
收藏
页码:239 / 247
页数:9
相关论文
共 14 条
[1]  
BRANDT A, 1981, 1ST P EUR MULT C
[2]  
Brower R., 1991, Nuclear Physics B, Proceedings Supplements, V20, P89, DOI 10.1016/0920-5632(91)90887-K
[3]   MULTIGRID MONTE-CARLO METHOD - CONCEPTUAL FOUNDATIONS [J].
GOODMAN, J ;
SOKAL, AD .
PHYSICAL REVIEW D, 1989, 40 (06) :2035-2071
[4]   ACCEPTANCE RATES IN MULTIGRID MONTE-CARLO SIMULATIONS [J].
GRABENSTEIN, M ;
PINN, K .
PHYSICAL REVIEW D, 1992, 45 (12) :R4372-R4375
[5]  
HACKBUSCH W., 2013, MULTI GRID METHODS A, V4
[6]  
Hasenbusch M., 1991, Nuclear Physics B, Proceedings Supplements, V20, P110, DOI 10.1016/0920-5632(91)90891-H
[7]  
Hertz J. A., INTRO THEORY NEURAL
[8]   MULTIGRID INVERSION OF LATTICE FERMION OPERATORS [J].
HULSEBOS, A ;
SMIT, J ;
VINK, JC .
NUCLEAR PHYSICS B, 1992, 368 (02) :379-389
[9]   GROUND-STATE PROJECTION MULTIGRID FOR PROPAGATORS IN 4-DIMENSIONAL SU(2) GAUGE-FIELDS [J].
KALKREUTER, T .
PHYSICS LETTERS B, 1992, 276 (04) :485-491
[10]   CONVERGENT PERTURBATION EXPANSIONS FOR EUCLIDEAN QUANTUM-FIELD THEORY [J].
MACK, G ;
PORDT, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 97 (1-2) :267-298