Topological Data Analysis and Its Application to Time-Series Data Analysis

The commercialization of AI technology has accelerated in recent years, with a growing interest in various machine-learning technologies such as deep learning. However, machine learning is based on statistical data analysis, and it is known today that certain information contained in such data is lost through analytical processes. To make the most of such information, we have developed a new machine learning technology based on topological data analysis (TDA) that focuses on and analyses the "shapes of data." This paper explains TDA as a new data-analytical method. As applied cases of TDA, it also describes the time-series deep learning for analyzing time series data and anomaly-detection technology, with an account of a bridge deterioration assessment in which the latter was applied.