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Importance of Prior Information in Maximum Likelihood
Having prior information in advance helps maintain solutions within a plausible region as opposed to a maximum likelihood approach which disregards prior plausibility. By using maximum likelihood alone, there is a risk of generating implausible solutions, especially in dealing with inverse problems where multiple factors can lead to the same outcome. Without prior information, it becomes challenging to differentiate between various possible explanations for the same observation, leading to inconclusive results.