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Paper · arXiv

Structure and Scale in Simplicial Sequence Modelling

Modern large-scale deep learning exhibits two striking empirical phenomena: behavioural scaling laws (predictable performance gains with increasing scale) and emergent mechanisms (structured internal representations and circuits in deep neural networks). We hypothesise that these two phenomena are connected: that predictable changes in behaviour are the result of predictable changes in internal computational structure. In this paper, we report preliminary evidence of such a connection. We find a correlation between scaling patterns in performance and representations in small transformers trained to predict the outputs of a hidden Markov model, for which residual activations are known to l...

AuthorsMatthew Farrugia-Roberts
Primary categorycs.LG
Published31 May 2026
Last updated at source31 May 2026
cs.LG
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