Information Theory Fundamentals Probability for Neuroscience

Pervasiveness of Information; Probability: Axioms, Spaces and Fields - with Application to Neuroscience
What you'll learn

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Understand what is the prevalent definition of probability
Calculate simple relative frequency based probabilities
Identify domains where information theory is applicable
Be able to find the features of random variables such as their density
Requirements

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Mathematical maturity
Description

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Obtain aCourse Completion Certificate signed by the Instructor.
Information theory is the brain child of American applied mathematician Claude Elwood Shannon who was a professor at the Massachusetts Institute of Technology. Embark on a journey into the world of information theory with "Information Theory Fundamentals." This course delves into the pervasive nature of information in our digital age, exploring its foundational concepts and significance. Begin your journey by understanding the pervasiveness of information in natural and man-made phenomena and systems and its impact on communication systems and technology. Dive into the core principles of probability, starting with the axioms that form the bedrock of probabilistic reasoning, founded in part by the Russian scientist A. N. Kolmogorov. Gain a comprehensive understanding of probability spaces and Borel fields, essential for analyzing random variables and processes. This course is designed for students and professionals seeking to grasp the fundamental concepts of information theory, providing a robust framework to tackle advanced topics in entropy, mutual information, asymptotic equipartition theorem, data compression, channel coding, and transmission schemes. Through clear explanations and practical examples, you'll build a solid foundation in information theory, preparing you for further studies and applications in various fields, including communications, computer science, and data science. Join us to unlock the mysteries of information theory and its applications. Specifically, we discuss applications to the study of axon tracts in neuroscience.
Who this course is for

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Students who plan to take a full Information Theory course and want a clear, low-stress foundation in probability and random variables first.
Those who want a modern joint view of probability and information.
Homepage

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