Mathematics Useful in Real Life
We focus on technology to design high-quality information systems exploiting theoretical analysis and evaluation of mathematical systems and models.
Due to recent popularization of advanced information systems such as internet and multimedia systems, we need computerized information processing in almost every scene of human life: Clever design of information systems is our key to prosperous future.
For solving a practical problem efficiently by using computers, possible approaches include:
- design clever algorithms
- apply heuristics or approximation methods
- apply a learning paradigm (e.g. neural network)
- change the model of computing
For each approach, we must evaluate the quality of solutions and computing cost. It is not only inaccurate but also dangerous to give the evaluation based on small-scale experiments; therefore, mathematical and theoretical analysis is crucial for designing high-quality information systems.