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Update the math of Metrics (#1211)

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* Update the math of Metrics

* Update README.md

* Update README.md
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2022-07-18 21:24:56 +08:00
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@@ -78,6 +78,11 @@ The numbers shown below demonstrate the performance of the entire `workflow` of
- Alpha360 contains raw price and volue data without much feature engineering. There are strong strong spatial relationships between the features in the time dimension.
- The metrics can be categorized into two
- Signal-based evaluation: IC, ICIR, Rank IC, Rank ICIR
- ![equation](https://latex.codecogs.com/gif.latex?%5Ctext%7Bcorr%7D%28%5Ctextbf%7Bx%7D%2C%5Ctextbf%7By%7D%29%3D%5Cfrac%7B%5Csum_i%20%28x_i-%5Cbar%7Bx%7D%29%28y_i-%5Cbar%7By%7D%29%7D%7B%5Csqrt%7B%5Csum_i%28x_i-%5Cbar%7Bx%7D%29%5E2%5Csum_i%28y_i-%5Cbar%7By%7D%29%5E2%7D%7D)
- ![equation](https://latex.codecogs.com/gif.latex?%5Ctext%7BIC%7D%5E%7B%28t%29%7D%20%3D%20%5Ctext%7Bcorr%7D%28%5Chat%7B%5Ctextbf%7By%7D%7D%5E%7B%28t%29%7D%2C%20%5Ctextbf%7Bret%7D%5E%7B%28t%29%7D%29)
- ![equation](https://latex.codecogs.com/gif.latex?%5Ctext%7BICIR%7D%20%3D%20%5Cfrac%20%7B%5Ctext%7Bmean%7D%28%5Ctextbf%7BIC%7D%29%7D%20%7B%5Ctext%7Bstd%7D%28%5Ctextbf%7BIC%7D%29%7D)
- ![equation](https://latex.codecogs.com/gif.latex?%5Ctext%7BRank%20IC%7D%5E%7B%28t%29%7D%20%3D%20%5Ctext%7Bcorr%7D%28%5Ctext%7Brank%7D%28%5Chat%7B%5Ctextbf%7By%7D%7D%5E%7B%28t%29%7D%29%2C%20%5Ctext%7Brank%7D%28%5Ctextbf%7Bret%7D%5E%7B%28t%29%7D%29%29)
- ![equation](https://latex.codecogs.com/gif.latex?%5Ctext%7BRank%20ICIR%7D%20%3D%20%5Cfrac%20%7B%5Ctext%7Bmean%7D%28%5Ctextbf%7BRank%20IC%7D%29%7D%20%7B%5Ctext%7Bstd%7D%28%5Ctextbf%7BRankIC%7D%29%7D)
- Portfolio-based metrics: Annualized Return, Information Ratio, Max Drawdown
## Results on CSI500