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[[数值分析]]中，'''拟蒙特卡罗方法'''(Quasi-Monte Carlo method)是使用[[低差异列]]（一种确定生成的[[超均匀分布]]列，也称为拟随机列、次随机列）来进行[[数值积分]]和研究其它一些数值问题的方法 …5quasimonte.html] {{Wayback|url=http://citeseer.ist.psu.edu/morokoff95quasimonte.html |date=20080107021756 }})''</ref>。<math> |\epsilon| \leq V(f) D_N </mat …

[[File:MonteCarloIntegrationCircle.svg|thumb|蒙特卡罗积分示意图。在该示例中，''D''是和正方形内切的圆，域E则是正方形。因为正方形的面积 在[[数学]]中，'''蒙特卡罗积分'''（Monte Carlo integration）是一种使用[[伪随机性|随机数]]进行[[數值積分|数值积分]]的技术。它是一种特殊的[[蒙地卡羅方法|蒙特卡罗方法]]，可对 …

…ve Monte Carlo Method, A Variance Reduction Technique |journal=Monte Carlo Methods and Their Applications |year=2004 |volume=10 |issue=1 |pages=1–24 |doi=10.1 *{{cite book |title=Sequential Monte Carlo Methods in Practice |first=A. |last=Doucet |first2=N. |last2=de Freitas |first3=N. …

|title=Bayesian methods: a social and behavioral sciences approach |title=Monte Carlo statistical methods …

|title=Monte Carlo Sampling Methods Using Markov Chains and Their Applications * Bernd A. Berg. ''Markov Chain Monte Carlo Simulations and Their Statistical Analysis''. Singapore, World Scientific, …

…>{{cite web|url=http://www.mcts.ai/?q=mcts|title=MCTS.ai: Everything Monte Carlo Tree Search|accessdate=2012-02-19|archive-date=2018-11-27|archive-url=https …go – An Open-Source Framework for Board Games and Go Engine Based on Monte Carlo Tree Search|publisher=Technical report, University of Alberta|year=2008|url …

'''蒙特卡罗方法'''（{{lang-en|Monte Carlo method}}），也称'''统计模拟方法'''，是1940年代中期由于科学技术的发展和[[电子计算机]]的发明，而提出的一种以概率统计理论为指导的数 …|first3 = T.|last4 = Botev|first4 = Z. I. |year =2014 |title=Why the Monte Carlo method is so important today |journal = WIREs Comput Stat|volume=6|pages = …

…rlo Methods in Financial Engineering |url=https://archive.org/details/montecarlomethod0000glas |isbn=0-387-00451-3 |publisher=Springer-Verlag |location=New …

*Gentle, James E., (2003). ''Random Number Generation and Monte Carlo Methods'', 2nd edition, Springer, ISBN 0-387-00178-6. …

…ntle | first = James E. | title = Random Number Generation and Monte Carlo Methods | url = https://archive.org/details/matrixalgebrathe00libg_597 | edition = …

* Robert, C. P.; Casella, G. (2004), ''Monte Carlo Statistical Methods'' (second edition), Springer-Verlag. …

*{{cite journal |first=J. M. |last=Pollard |title=Monte Carlo methods for index computation (mod ''p'') |url=https://archive.org/details/sim_math …

…t the Saturated Vapor Pressure | first1=Russell J.| last1=Donnelly| first2=Carlo F.| last2=Barenghi| | journal=Journal of Physical and Chemical Reference Da …ef>{{Cite journal|last=Hasenbusch|first=Martin|date=2019-12-26|title=Monte Carlo study of an improved clock model in three dimensions|arxiv=1910.05916|journ …

…ef>，這個數字會隨著 ''L'' 的增加而進行[[指數]]增長。這也是為什麼一般在做易辛模型的數值模擬時，都會採用[[蒙地卡羅方法]]（Monte Carlo method）<ref name="Newman" /> …>β</sub>(ν) 只和目前狀態 μ有關 。事實上，Metropolis 演算法就是[[馬可夫蒙地卡羅]](Markov Chain Monte Carlo)的一個版本。而且因為演算時採用的是單一自旋反轉法，每個狀態可視為和另外 ''L'' 個狀態相連，而每一個狀態轉移則是將其中一個[[自旋]]反轉。<re …

…ods." In A. Doucet, N. de Freitas, N. Gordon (eds.) Sequential Monte Carlo Methods in Practice. Statistics for Engineering and Information Science. Springer, # A. Doucet, "On sequential Monte Carlo methods for Bayesian filtering." Dept. Eng., Univ. Cambridge, UK, Tech. Rep., 1998. …

* Nesbet R K 2003 "''Variational Principles and Methods In Theoretical Physics and Chemistry''". (New York: Cambridge U.P.) …m.ac.uk/~ajw29/thesis/node15.html |date=20040813170851 }} -- Quantum monte carlo calculations of electronic excitations''". Robinson College, Cambridge, Th …

* [[马尔科夫蒙特卡洛|馬可夫链蒙地卡羅演算法]]（Markov chain Monte Carlo algorithm） * P. I. Bidyuk, A. N. Terent’ev, and A. S. Gasanov. CONSTRUCTION AND METHODS OF LEARNING OF BAYESIAN NETWORKS. Cybernetics and Systems Analysis, 587-598 …

…]]s, [[message-passing method]]s, and [[Calculus of variations|variational methods]]; and examples illustrating the intimate connections between Bayesian infe …

* Gentle J.E. (2003), ''Random Number Generation and Monte Carlo Methods'', Springer. …gits," in A.S. Householder, G.E. Forsythe, and H.H. Germond, eds., ''Monte Carlo Method'', National Bureau of Standards Applied Mathematics Series, 12 (Wash …

…echanical (described mathematically as <math> F=F( \Psi(\vec r) ) </math>) methods. Large differences exist between different integrators; some do not have ex …[[量子力学]]的费恩曼[[路径积分]]表述方式<ref>Efficient molecular dynamics and hybrid Monte Carlo algorithms for path integrals, Tuckerman et al, The Journal of Chemical Phy …