Researchers at Thomas Jefferson National Accelerator Facility are using Monte Carlo methods to evaluate integrals in very high dimensional spaces. Which of the following best explains the advantage of Monte Carlo techniques in these settings?
W) Direct integration techniques are too computationally intensive in high dimensions
X) Monte Carlo integration is known to be more accurate than direct integration
Y) Monte Carlo techniques are easier to combine with machine learning methods
Z) Direct integration techniques are susceptible to numerical overflow in high dimensions
✔️Answer:DIRECT INTEGRATION TECHNIQUES ARE TOO COMPUTATIONALLY INTENSIVE IN HIGH DIMENSIONS
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