I’ve replicated the OthelloGPT results mentioned in this paper personally - and it def felt like the next-move-only accuracy metric was not everything. Indeed, the authors of the original paper knew this, and so further validated the world model by intervening in a model’s forward pass to directly manipulate the world model (and check the resulting change in valid move predictions). I’d also recommend checking out Neel Nanda’s work on OthelloGPT, where he demonstrated the world model was actually linear: https://arxiv.org/abs/2309.00941
Emergent Linear Representations in World Models of Self-Supervised Sequence Models
Neel Nanda, Andrew Lee, Martin Wattenberg
2023 · arXiv
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From the abstract
How do sequence models represent their decision-making process? Prior work suggests that Othello-playing neural network learned nonlinear models of the board state (Li et al., 2023). In this work, we provide evidence of a closely related linear representation of the board. In particular, we show that probing for "my colour" vs. "opponent's colour" may be a simple yet powerful way to interpret the model's internal state. This precise understanding of the internal representations allows us to control the model's behaviour with simple vector arithmetic. Linear representations enable significant interpretability progress, which we demonstrate with further exploration of how the world model is computed.
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Transformers, like other deep neural networks, have many hidden layers before the output. Are you certain that those hidden layers aren't modeling the world first before choosing an output token? Deep neural networks (including transformers) trained on board games have been found to develop an internal representation of the board state. (eg. https://arxiv.org/pdf/2309.00941)
Here's the paper on OthelloGPT's internal models I mentioned: https://arxiv.org/abs/2309.00941 The references in that paper are also good reading!
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