Explore fundamental concepts in information theory and pattern recognition through this lecture delivered at Johns Hopkins University's Center for Language & Speech Processing. Delve into the mathematical foundations of values and patterns as presented by a leading researcher from UC San Diego, examining how these concepts apply to speech and language processing applications. Learn about theoretical frameworks that underpin modern computational linguistics and discover connections between statistical analysis and pattern detection in linguistic data. Gain insights into advanced mathematical approaches used in natural language processing and understand how value-based analysis contributes to solving complex problems in speech recognition and language understanding systems.