This is an incredible idea! I'd love to see chess.com add this to their analysis tools. Many players look at an evaluation to see if a position/move was winning, but not enough players consider how easy it actually is to find the winning plan.
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I would like to propose that chess.com develops a measure of chess complexity or sharpness. Such a feature has the potential to revolutionize chess and would be invaluable to any chess website. Some specific applications include generating non-tactical puzzles (imagine tactics trainer for positional chess puzzles), creating chess computers that play with human personalities, and identifying concepts that are key to improvement at any rating level.
Below are 16 positions selected from 1000 random positions from the 2019 World Cup sorted by our algorithm, with the least complex positions on the far left-column and the most complex positions on the far right-column. While we have achieved good results, our algorithm can be improved significantly with more data. Our model only trained on 25,000 games, but we estimate that chess.com may have upwards of a billion games, a significant portion already analyzed by users. With the incredible amount of data and technical expertise at chess.com, chess.com’s help will be invaluable in creating these revolutionary features.
Please find more details about the algorithm in my full proposal here.