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Mathematical Informatics Lab
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A lab that uses mathematics as a tool to handle signals, living systems, and vagueness.
AboutAbout the lab
Using mathematics as a tool to solve a range of phenomena.
The Mathematical Informatics Lab uses mathematics as a tool to study a variety of phenomena from an information perspective.
It treats image and audio or acoustic signals as functions and analyzes them using Hilbert space theory and operator theory.
It also studies fuzzy theory and many-valued logic, which bring the subjective vagueness that people have into information processing.
There is also research that expresses biological phenomena with mathematical models and analyzes them, so the range of subjects is broad.
Key terms
- Hilbert space
- A space in which even infinitely many elements, such as functions, can be treated as "vectors." Lengths and angles can be measured in it
- Fuzzy theory
- A theory that expresses vagueness, for which no clear line can be drawn, such as "fairly large," with numbers and handles it
- Many-valued logic
- A system of logic that allows values in between, rather than only the two values true and false
NewsLab news
A paper by Associate Professor Iritani et al. was published in Behavioral Ecology and Sociobiology
A paper by Prof. Tanaka et al. was published in Journal of Computational and Applied Mathematics
A paper by Prof. Tanaka et al. was published in 2025 ASIA PACIFIC SIGNAL AND INFORMATION PROCESSING ASSOCIA…
A paper by Associate Professor Iritani et al. was published in Evolution and Human Behavior
A paper by Associate Professor Kawaguchi et al. was published in Journal of Multiple-Valued Logic & Soft Computing
ResearchResearch themes
Using mathematics as a tool, the lab deals with subjects such as signals, living systems, and vagueness. Its three pillars are applications of operator theory and Hilbert space theory to engineering, soft computing and many-valued logic, and mathematical modeling in biology.
*Illustrative imageApplications of operator theory and Hilbert space theory
Image and audio or acoustic signals can be regarded as functions defined on a plane or on a time axis. Using mathematical tools for analyzing spaces made up of such functions, the lab works on image restoration theory, acoustic signal processing, and machine learning theory.
*Illustrative imageSoft computing and many-valued logic
The lab aims to bring computers closer to people by reflecting human subjectivity in information processing. Using fuzzy theory, which expresses and analyzes vagueness, it advances methods of approximate reasoning and their application to control, as well as the application of fuzzy clustering to color image processing.
*Illustrative imageSolving biological phenomena with mathematical models
The lab expresses phenomena in evolutionary biology, ecology, and evolutionary genetics with mathematical models and analyzes them. The mathematical structure of biodiversity indices and its applications are also subjects of research.
MembersFaculty
The members of the Mathematical Informatics Lab consist of faculty, and master's and undergraduate students.
- ProfessorAkira Tanaka
- Associate ProfessorRyosuke Iritani
- Project Associate ProfessorMayuka Kawaguchi
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: “68448 pinkyfinger Piano G-2 spectrogram” 68448_pinkyfinger_Piano_G.ogg: PinkyFinger derivative work: — Omegatron (talk) / CC BY-SA 3.0 (cropped)
- Applications of operator theory and Hilbert space theory: “Perspective 3D Plot” Indon / CC BY-SA 3.0 (cropped)
- Soft computing and many-valued logic: “Receding Fog over Lake Altaussee” Bernd Thaller / CC BY 2.0 (cropped)
- Solving biological phenomena with mathematical models: “03 Museum insect specimen drawer - Muzeum Gornoslaskie, Bytom, Poland” Marek Ślusarczyk (Tupungato) Photo portfolio / CC BY 3.0 (cropped)
- Related lab (Media Dynamics Lab): “Aperture grille closeup” Selçuk Oral (drumex) / CC BY-SA 3.0 (cropped)
- Related lab (Intelligent Information and Communications Lab): “G Sendemast Telekom Kiel - - Detail” Fabian Horst / CC BY-SA 4.0 (cropped)
- Related lab (Bioinformatics Lab): “Protein ACE2 PDB 1r42” Emw / CC BY-SA 3.0 (cropped)
- Related lab (Genome Informatics Lab): “DNA Helix CPK” Ude / Public domain (cropped)
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