“…This has given rise to an increasing usage of volatility conditional portfolios (Harvey et al 2018), with different studies reporting an overall gain in their Sharpe ratio (Moreira and Muir 2017), as well as a reduction of the likelihood of observing extreme heavy-tailed returns in volatility scaled portfolios (Harvey et al 2018). The development of volatility forecasting models has consequently attracted broad research efforts, but most of the models used by practitioners are based on classic methodologies such as the GARCH model (Bollerslev poller 2020), Graph Neural Networks (GNN) (Chen and Robert 2021), Transformer models (Ramos-Pérez, Alonso-González, and Núñez-Velázquez 2021), and NLP-based word embedding techniques (Rahimikia and Poon 2020;Rahimikia, Zohren, and Poon 2021). Furthermore, models combining traditional volatility forecasting methods with deep-learning techniques can be found in the literature (Kim and Won 2018;Mademlis and Dritsakis 2021), as well as other approaches using DNN as calibration methods for implying volatility surfaces (Horvath, Muguruza, and Tomas 2019), proving how neural network-based approaches work as complex pricing function approximators.…”