Topological Data Analysis (TDA) is used for extracting features from complex data structures.Integration of TDA with time-series prediction faces challenges related to temporal dependencies and computational bottlenecks.The Topological Information Supervised (TIS) Prediction framework proposes using neural networks and CGANs to generate synthetic topological features.TIS models, TIS-BiGRU and TIS-Informer, outperform conventional predictors in capturing short-term and long-term temporal dependencies.