👉 Quasi-Monte Carlo (QMC) methods are numerical integration techniques that use deterministic sequences, known as low-discrepancy sequences, instead of random samples to approximate integrals or solve other numerical problems. Unlike traditional Monte Carlo methods, which rely on random sampling and can be inefficient for high-dimensional integrals due to their slow convergence rate, QMC methods are designed to fill space more uniformly, leading to faster and often more accurate results. By ensuring that the sequence covers the integration domain with minimal gaps, QMC methods achieve better convergence rates, typically quadratic for low-dimensional problems and superlinear for higher dimensions, making them particularly useful in fields requiring high precision, such as computational finance and engineering simulations.
