In the era of global electronicization, the digital transformation of communication technology has led to the widespread collection and storage of personal information in the databases of online services, raising concerns about personal privacy. Companies use algorithms to collect and analyze this data and effectively predict user behavior to optimize services and drive profit growth. However, with the rapid development of the data economy and the increase in the scale of data collection, it has become increasingly difficult for the media to manage privacy, the boundaries of personal privacy have gradually blurred, and the public's concerns about privacy have also increased. This paper will take algorithms, the primary driving force of the data economy, as the starting point to analyze how algorithms invade personal privacy through recommender systems, advertising target, and social media functions, and how they use this private data to influence users' perceptions and behaviors.