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Systems Mathematics Lab
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The lab works to solve real-world problems through mathematical optimization and data analysis.

AboutAbout the lab
Solving real-world problems through systemization techniques
The Systems Mathematics Lab researches how to solve real-world problems by turning them into systems, using mathematical science approaches.
Using mathematical programming, statistical methods, discrete mathematics, combinatorial optimization, artificial intelligence, and more, the lab works on modeling corporate production activities, social phenomena, and natural phenomena.
Through research such as system analysis based on the science of uncertainty and multi-criteria data analysis methods for system evaluation, the lab aims to cultivate systemization techniques.
Students from other universities and other faculties are welcome, and lab visits are accepted at any time.
Key terms
- Combinatorial optimization
- An approach to problems of finding the best option that satisfies the conditions among a vast number of possible combinations of choices.
- Black-box function optimization
- Searching for inputs that give good results for a function whose internal formula is unknown and for which only the output values for given inputs can be obtained.
- Data envelopment analysis (DEA)
- A method for evaluating productivity when there are diverse value criteria.
ResearchResearch themes
The Systems Mathematics Lab studies systemization and its applications through mathematical science approaches such as mathematical programming and statistical methods. It works on the theoretical development of optimization methods and data analysis methods, and aims to cultivate systemization techniques through the modeling of production activities, social phenomena, natural phenomena, and more.
*Illustrative imageMathematical Programming for System Optimization
The lab studies the theory and algorithms of mathematical optimization for system analysis. Large scale, uncertainty, and complexity are important perspectives, and the lab works on graph theory, discrete mathematics, the development and generalization of combinatorial optimization methods, and black-box function optimization under uncertainty based on simulation and observation.
*Illustrative imageData Analysis and Evaluation Methods
Variability and uncertainty are factors that must be taken into account in decision making. The lab studies behavior analysis and demand forecasting using machine learning and artificial intelligence techniques. As an evaluation method for cases with diverse value criteria, it also works on productivity evaluation using data envelopment analysis (DEA).
*Illustrative imageApplications of Modeling and Optimization Methods
The lab aims to analyze and improve a wide variety of familiar systems, such as production systems and social systems. It turns them into systems with mathematical models and pursues efficiency and optimization using mathematical programming, statistical methods, machine learning, and more. It also actively tackles real-world problems through industry-academia collaboration.
*Illustrative imageTime-Series Data and Mathematical Models
The mathematical models behind time-series data are often described by differential equations or difference equations. In addition to estimating model equations from data, the lab works on research using dynamical systems theory and numerical analysis to evaluate the estimated model equations.
MembersFaculty
The members of the Systems Mathematics Lab consist of faculty, administrative assistants, and students in the doctoral, master's, and undergraduate programs.As of 2026
- Associate ProfessorYutaro Yamaguchi
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: “Frank-Wolfe-Algorithm” Robert Carnecky / CC BY 3.0 (cropped)
- Mathematical Programming for System Optimization: “Simulation-based optimization for building performance studies” Lpetroia / CC BY-SA 4.0 (cropped)
- Data Analysis and Evaluation Methods: “Decision making in a social context” Glascher Lab / CC BY-SA 4.0 (cropped)
- Applications of Modeling and Optimization Methods: “Model of subsea production systems” jasonwoodhead23 / CC BY 2.0 (cropped)
- Time-Series Data and Mathematical Models: “EAI680 differential equation display” Autopilot / CC BY-SA 4.0 (cropped)
- Related lab (Mathematical Planning Lab): “Automated vs man-in-the-loop decision making” Jeffery R. Barnett, Air University, Maxwell Air Force Base, Alabama. / Public domain (cropped)
- Related lab (Nonlinear Mathematics Lab): “Lorenz system r28 s10 b2-6666” Computed in Fractint by Wikimol / Public domain (cropped)
- Related lab (Information Photonics Lab): “FMN Lab electro-optical integrated modulator” FMNLab / CC BY 4.0 (cropped)
- Related lab (Applied Analysis Lab): “Lorenz yz x 0” German A. Chernykh & Irina A. Chernykh / CC BY-SA 4.0 (cropped)
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