One interesting thing about the ARC competition is that it serves to highlight how people who use deep learning often have little idea of what deep learning actually does, and when they should be using it or not
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The amount of training data is irrelevant. The fact that AlphaZero captures the discrete landscape of chess and go better than (most) humans demonstrates that DL does not require a continuous domain to work well.
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No, it's a highly structured space which can therefore be embedded in a continuous manifold if you can sample enough games (which is a really ridiculous amount of games). This is true for virtually any task, as I was saying earlier
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It's also not the case that some games/tasks are discrete or interpolative. All problems can be solved with pattern recognition if the problem is stable and you have infinite data. Inversely, img classif is pattern rec, but in a single-shot setting it becomes a reasoning problem.
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If I give you a natural language description of the rules of chess and a couple of example games, then Chess is a reasoning problem. If I give you 100,000,000,000 example games, it's a pattern recognition problem (or at least it can be treated as one).
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