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Compare the underlying mechanics of XGBoost, LightGBM, and Random Forest. Under what specific conditions would you prefer one over the others?

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Interview question asked to Data Scientists interviewing at Fiverr, TripAdvisor, Yandex and other companies. Original question asked: Compare the underlying mechanics of XGBoost, LightGBM, and Random Forest. Under what specific conditions would you prefer one over the others?.