“…Using TDA to recognize different regimes of behavior of an underlining complex system has received a lot of attention in the last few years. Hence, there is a well-grounded theoretical foundation, as well as numerous experimental results; see, e.g., [2,3,38,39,28,29,43,34,30]. However, the application of TDA to financial markets is in the early stages of development; see, e.g., [21,22,47].…”