羊.

This is a Chinese character that can refer to goats, rams, and several other kinds of "medium-sized animal with thick wooly coats and horns". English has no direct equivalent; we have to be too specific when we talk about these animals.

A model with a small number of neurons has to compact its concepts in order to fit within the parameter count while reducing loss. OP's article shows that the compaction is usually generalization: "goat" and "ram" get compressed into "羊". The canonical example of superposition, an image model where "car" feeds into a bunch of "dog" features, was shown to be actually generalization. In a sense, the model was so small that its optimizer didn't have the parameter budget to distinguish between "car" and "dog"; it has a single set of "thing that moves fast" features.

So basically, really small models are merging features into semantic buckets that are so generalized they don't make sense to big human brains unless we really, really squint. The buckets chosen happen to be what has the lowest loss, of course.

Ok, so assuming that this all holds: you could then create a model that is substantially larger than the ones that we have now and at some point the model would become sparse: there would be ample space to accommodate all of the information in the input without weights ever carrying more than one piece of information. The degree to which you get overlap is then a function of the ratio between the size of the model and the size of the input and this is pretty much in line with the conventional way of looking at models (unless I'm grossly mistaken). So by reducing the size of the model relative to the size of the input you force the model to co-locate multiple pieces of information to the point that they start to resemble each other more and more.

But from my earliest experiments with this stuff that's not really what happens. Yes, you get 'feature like' regions in the models. But those feature like regions, even though they encode something particular do not encode concepts the way we would normally use them and I fail to see how this pathway would lead to an explainable model in the sense that would could use something simpler than the model itself to predict its output with a high degree of fidelity.

Possibly the best and most succinct explanation in the thread thus far.