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Probability Theory and Information Theory Lab
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The lab uses probability theory to study the limits of data compression and communication in information theory.
AboutAbout the lab
Thinking about the limits of data compression through probability theory
Prof. Kubo studies the fundamental theory of communication within information theory.
The specialties are source coding, the theory of data compression, and channel coding.
Although the field has a name like information engineering, it is approached as a branch of mathematics based on probability theory, and sometimes hardly uses computers.
In small-class courses, the basic approach is to choose topics that involve probability in some form.
Key terms
- Information theory
- A field that uses mathematics to study the amount of information and the limits of conveying it efficiently and accurately
- Entropy rate
- The amount of information a source produces per unit time. It is the limit that data compression can achieve
- Channel capacity
- The limit on the amount of information that can be sent per unit time through a communication channel subject to disturbances
ResearchResearch themes
The lab studies the fundamental theory of communication within information theory. The main subjects are source coding, the theory of data compression, and channel coding, which deals with how much information can be sent through a communication channel.
*Illustrative imageSource Coding (Data Compression)
A theory aimed at reducing the amount of data sent through a communication channel to the limit under given conditions. This limit is known to be the entropy rate of the source, and the lab is interested in how fast the limit is approached (asymptotic properties).
*Illustrative imageChannel Coding
Deals with how much information can be sent per unit time (the channel capacity) through a communication channel subject to disturbances such as natural electromagnetic waves, as in FM radio broadcasting.
MembersFaculty
- Associate ProfessorMasashi Kubo
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Telecommunications equipment adjacent to The Three Sisters” Schwede66 / CC BY-SA 4.0 (cropped)
- Source Coding (Data Compression): “Hard disk head crash” Alchemist-hp (talk) www.pse-mendelejew.de / CC BY-SA 3.0 (cropped)
- Channel Coding: “Solec Kujawski longwave antenna feeder” Przemysław Frasunek User:Venglin / Public domain (cropped)
- Related lab (Quantum Information Theory, Theoretical Computer Science, and Algorithms Lab): “Google Sycamore Chip 001” Google (https://www.youtube.com/channel/UCK8sQmJBp8GCxrOtXWBpyEA) / CC BY 3.0 (cropped)
- Related lab (Topology Lab): “TrefoilKnotOrder2Symmetry” Wstomv / CC BY-SA 4.0 (cropped)
- Related lab (Fourier Analysis, Partial Differential Equations, and Fluid Dynamics Lab): “Flow separation” Jaganath at English Wikipedia / CC BY-SA 3.0 (cropped)
- Related lab (Nakashima Lab): “Galton-watson(poisson(1),11gen, 47noeud)” Ipipipourax, S. Roger / CC0 (cropped)
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