Mathematical Physics
Antithetic variates are a variance reduction technique used in Monte Carlo simulations to improve the efficiency and accuracy of estimates by using pairs of dependent random variables that are negatively correlated. This method helps to decrease the variance of the simulation output by pairing outcomes that tend to offset each other, leading to more reliable results with fewer sample points. In the context of Monte Carlo methods in physics, this technique is particularly valuable when simulating processes where random variability can lead to significant fluctuations in outcomes.
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