Maximize Expected Improvement

Maximize Expected Improvement (EI) is a strategy used in optimization to find the best possible outcome. It balances exploring unknown options and exploiting known good ones by estimating how much better a new choice could be compared to the current best. Instead of just picking options that seem promising, EI calculates the expected value of improvement for each possibility, considering both potential gains and uncertainties. This helps efficiently identify promising solutions by focusing on areas with the highest expected benefit, ultimately guiding decision-making toward optimal results with fewer trials or experiments.