Fig. 5: React-OT with xTB RP as input and its performance in combination with DFT workflow and uncertainty control. | Nature Machine Intelligence

Fig. 5: React-OT with xTB RP as input and its performance in combination with DFT workflow and uncertainty control.

From: Optimal transport for generating transition states in chemical reactions

Fig. 5

a, A 2D contour plot for the structure r.m.s.d. of DFT- and xTB-optimized RP. The single-product (blue) and multiproduct (red) reactions are shown separately. b, Cumulative probability for structure r.m.s.d. (left) and ΔETS (right) between the true and React-OT-generated TS on 1,073 set-aside test reactions. The single-product (blue) and multiproduct (red) reactions are shown separately. Both r.m.s.d. and ΔETS are presented in log scale for visibility of the low error regime. c, The workflow of combining React-OT and conventional DFT-based TS search using a confidence (conf.) model. ML models are shown with orange squares, outputs from ML models are shown with pink triangles (TS) and pink circles (confidence score) and DFT-based TS search shown with the red square, with its output shown as a blue triangle (true TS). d, r.m.s.d. versus ΔETS for different TS generations approached, where the MAE is shown in pink and the median absolute error is shown in yellow. OA-ReactDiff and TSDiff are also evaluated by the best sample among 40 sampling rounds (symbols without colour filling), which, however, is not practical in real application settings. e, Average ΔETS (pink, left y axis) and time cost per reaction (yellow, right y axis) with respect to the fraction of TS generated by React-OT under the control by uncertainty quantification. The dashed lines show the statistics at chemical accuracy (1.58 kcal mol−1). Reference and generated TS structures (pink) for the best and worst test reactions are shown. Atoms in the reference TS are coloured as follows: C, grey; N, blue; O, red; H, white. In a and b, the statistics are displayed for 783 multiproduct (red) and 290 single-product (blue) test reactions, where the median is represented by a solid line, the mean as a dashed line and quarters 1 and 3 as the edges of the box, and the fences correspond to the edges ±1.5 times the interquartile range.

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