You are throwing away information when you threshold, period, end of that discussion.
If the ‘information’ was noise, then it’s not information, it’s just data. Whether it counts as information depends upon relevance, which is partially what the threshold is for.
If the ‘information’ was noise, then it’s not information, it’s just data. Whether it counts as information depends upon relevance, which is partially what the threshold is for.
Link for more info
Of course, this is a jargon use in information theory. But that seems like the relevant domain.