Fig. 5: Representation theory attribution.
From: Advancing mathematics by guiding human intuition with AI
a, An example heatmap of the percentage increase in reflections present in the salient subgraphs compared with the average across intervals in the dataset when predicting q4. b, The percentage of observed edges of each type in the salient subgraph for 10 retrainings of the model compared to 10 bootstrapped samples of the same size from the dataset. The error bars are 95% confidence intervals, and the significance level shown was determined using a two-sided two-sample t-test. *p < 0.05; ****p < 0.0001. c, Illustration for the interval 021435–240513 ∈ S6 of the interesting substructures that were discovered through the iterative process of hypothesis, supervised learning and attribution. The subgraph inspired by previous work31 is highlighted in red, the hypercube in green and the decomposition component isomporphic to an interval in SN−1 in blue.
