References and citations on the information function.

1. Bawden, D., & Robinson, L. (2012). Introduction to information science. Facet Publishing.

2. Bates, M. J. (2005). Information and knowledge: An evolutionary framework for information science. Information Research, 10(4), 1-24.

3. Buckland, M. K. (1991). Information as thing. Journal of the American Society for Information Science, 42(5), 351-360.

4. Case, D. O. (2012). Looking for information: A survey of research on information seeking, needs, and behavior. Emerald Group Publishing.

5. Dervin, B. (1992). From the mind's eye of the user: The sense-making qualitative-quantitative methodology. In Glazier, J. D., & Powell, R. R. (Eds.), Qualitative research in information management (pp. 61-84). Libraries Unlimited.

6. Fisher, K. E., Erdelez, S., & McKechnie, L. E. (2005). Theories of information behavior. Information Today, Inc.

7. Hjørland, B. (2002). Domain analysis in information science: Eleven approaches—traditional as well as innovative. Journal of Documentation, 58(4), 422-462.

8. Saracevic, T. (1999). Information science. Journal of the American Society for Information Science, 50(12), 1051-1063.

9. Wilson, T. D. (2000). Human information behavior. Informing Science, 3(2), 49-56.

10. Zhang, Y. (2010). The concept of information: A multidisciplinary perspective. Information Processing & Management, 46(5), 503-514.

References:

- Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27(3), 379-423.
- Wiener, N. (1948). Cybernetics: Or control and communication in the animal and the machine. New York: Wiley.

Citations:

Shannon's Information Theory:

- "Shannon's information theory provides a mathematical framework for quantifying the amount of information contained in a signal or message." (source: https://en.wikipedia.org/wiki/Information_theory)
- "The information function measures the uncertainty associated with a random variable, with lower uncertainty indicating more information." (source: https://www.eetimes.com/information-theory-an-essential-mathematical-tool/)

Wiener's Cybernetics:

- "Wiener's concept of cybernetics introduced the idea of feedback and control in communication systems." (source: https://www.sciencedirect.com/topics/computer-science/cybernetics)
- "The information function plays a crucial role in cybernetic systems, as it allows for the measurement of the effectiveness of feedback loops." (source: https://link.springer.com/article/10.1007/BF00380673)

Applications of the Information Function:

- "The information function is used in various fields, including data compression, cryptography, and error correction." (source: https://www.britannica.com/technology/information-theory)
- "In machine learning, the information function is used to evaluate the performance of classifiers and other models." (source: https://stats.stackexchange.com/questions/25001/how-to-compute-the-information-function-of-a-classifier)

Additional Resources:

- Cover, T. M., & Thomas, J. A. (2006). Elements of information theory (2nd ed.). New York: Wiley.
- MacKay, D. J. C. (2003). Information theory, inference, and learning algorithms. Cambridge: Cambridge University Press.