Contrastive estimators are statistical objectives used in machine learning to estimate information-theoretic quantities, such as mutual information and probability density ratios, by training a model to distinguish between related data pairs and unrelated noise samples. Rather than directly calculating intractable probability distributions or normalization constants, these estimators formulate the estimation process as a discrimination task that scores paired data points drawn from a joint distribution higher than negative samples drawn from marginal distributions. By optimizing variational bounds on mutual information, contrastive estimators enable self-supervised and multimodal representation learning frameworks to capture meaningful shared dependencies and discard irrelevant variations across different views or modalities without requiring labeled data.