Fig. 6

Trajectory and speed of the animal do not explain the different neuronal network representation of rules and its repetitions. a Overlapping running-trajectories during a rule and during the later repetition of the same rule. b Trajectory during one trial (black) and the fitted parabola (red). c Different trajectories in the same recording day and their fittings. d Right, similarity index distributions calculated for all possible pairs between trajectories during trials within a rule ‘A’ (top) and the possible pairs between trajectories during a rule ‘A’ and its repetition ‘A°’ (bottom). Green denotes similar (<5 percentile) and different (>95 percentile) pairs. Left, comparison of the Euclidean distance in the network firing state for trials with similar trajectories between a rule ‘A’ and its repetition ‘A°’ and for trials with different trajectories belonging only to rule ‘A’ (p = 0.0017, Wilcoxon rank-sum test). Box plots show median, 25th and 75th percentile. e After removing the effect of the trajectory and the speed of the animal, residuals remain correlated to performance, similar to neuronal firing rates (n = 300, p < 1e−20, r = 0.9123, Spearman correlation). f Same as (e) but for firing rates of putative interneurons (n = 50, p < 1e−20, Spearman correlation). g Projection of the multi-unit activity residuals onto the first two principal components for the session shown in Fig. 5a. h Isolated and non-overlapping network states (using the residuals) during two different rules (left and right) which were presented twice during the session shown in Fig. 5b. i Comparison between the performance of k-means clustering on firing rate residuals vs. the performance of the k-means clustering on the shuffled firing rate residuals, for the four possible trajectories (South-East, p = 0.0015; South-West, p = 3.43e−05; North–West, p = 0.0358; North-East, p = 2.07e−05. Wilcoxon signed-rank test). j Box plot indicating the normalised Euclidean distance measured between the centres of rules without dimensionality reduction in the network state formed by the firing rate residuals. Red line indicates the median. Distances of rules with or without repetitions of the same rule were still not significantly different (p = 0.40, Wilcoxon rank-sum test). Box plots show median, 25th and 75th percentile