i think there definitely is some truth to this in terms of embeddings spaces, which is why i believe they are implemented by OpenAI/Anthropic in roughly highest import => least import bit order-- an overwhelming majority of the variance is in the first few hundred vector bits. i haven't actually tested this myself by manually truncating vectors, but it is my understanding that they generally speaking have this property.
i think there definitely is some truth to this in terms of embeddings spaces, which is why i believe they are implemented by OpenAI/Anthropic in roughly highest import => least import bit order-- an overwhelming majority of the variance is in the first few hundred vector bits. i haven't actually tested this myself by manually truncating vectors, but it is my understanding that they generally speaking have this property.