This study focuses on improving the FAST-ICA algorithm and GARCH model to more accurately analyze and predict the value at risk of financial stocks. Accurately measuring stock risk is crucial for investors and securities managers in today's financial markets, as it directly affects investment decisions and risk control. We have improved the FAST-ICA algorithm and proposed the TS-ICA algorithm, aiming to improve the separation performance and iteration efficiency of the algorithm. And we combine the TNA method for data preprocessing to eliminate noise and improve the robustness and prediction accuracy of the model. In terms of GARCH model, we constructed the TS-ICA-GARCH model using the independent decomposition results of the TS-ICA algorithm to more accurately predict the volatility and value at risk (VaR) of stocks. Through empirical analysis and backtesting, we have verified the superiority of the TS-ICA-GARCH model in measuring risk, especially in extreme market conditions with stronger coping ability. This study provides a more reliable risk assessment tool for financial market participants, which helps to develop more effective investment strategies and risk management measures.