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Good lossy compression can be used to achieve lossless compression. (information theory) The more accurate the lossy compression is, the smaller the differenc
by thelastparadise 3y ago
Good lossy compression can be used to achieve lossless compression.
(information theory)
The more accurate the lossy compression is, the smaller the difference between the actual data (lossless) and the approximation. The smaller the difference, the fewer bits required to restore the original data.
So a naive approach is use the LLM to approximate the text (this would need to be deterministic --zero temp with a preset seed), then subtract that from the original data. Store this diff then add back to restore the original data bit-for-bit.
- Xcelerate 3y agoWho downvoted you? This is correct; the better the lossy compression, the better the lossless compression as well.
- CamperBob2 3y agoThat's true until the lossy compression alters the data in a way that actually makes it harder to represent. As an example, a bitstream that 'corrects' a decompressed .MP3 file to match the original raw waveform data would be almost as difficult to compress as the raw file itself would be. It wouldn't be a matter of simply computing and compressing deltas at each sample, because frequency-domain compression moves the bits around.
- hinkley 3y agoIn psychoacoustics, one of the most important aspects of how lossy compression works is that they throw away sounds that a human can't even hear, because it's too short or subtle to be noticed. This is the difference between data and knowledge. Someone with perfect pitch and a good memory knows exactly what Don't Stop Me Now by Queen sounds like, and it's a lot smaller than digitizing an LP record in mint condition. This person can cover that song, and everyone will be happy, because they have reproduced everything that makes that song what it is. If anything we might be disappointed because it's a verbatim reproduction (for some reason we prefer cover songs to introduce their own flavor). If I ask you to play Don't Stop Me Now and you sound like alcoholic Karaoke, you haven't satisfied the request. You've lost. Actually we've all lost, please stop making that sound, and never do that again.
- uoaei 3y agoExactly right. There would be no confusion if the Hutter prize was a competition for compressing human data. This is a parallel issue to the ones in conversations around understanding. There's a massive gulf between being able to build an ontology about a thing and having an understanding of it: the former requires only a system of categorizing and relating elements, and has nothing to do with correctness per se; the latter is an effective (note: lossy!) compression of causal factors which generate the categories and relations. It's the difference between "Mercury, a star that doesn't twinkle, orbits Earth, the only planet in existence, and we have inferred curves that predict why it goes backwards in its orbit sometimes" and "Mercury and Earth, planets, both orbit the Sun, a star, and all stable orbits are elliptical".
- kaba0 3y agoHow is the sum total of wikipedia not human data?
- uoaei 3y agoI think Wikipedia is human data. But to say it's human knowledge (that is, that data is synonymous with knowledge in any context) is actually a pretty hardline epistemological stance to take, one that needs to be carefully examined and justified.
- kaba0 3y agoIt is not the sum-total of human knowledge surely. But that it is part of that knowledge is not a controversial statement in my opinion.
- uoaei 3y agoI didn't say it's the sum total anywhere nor did I imply that in any way. I also didn't say it doesn't represent some aspect of human knowledge. In set notation, what I am saying in above comments is ({data} ∪ {knowledge}) \ ({data} ∩ {knowledge}) ≠ ∅ while you are simply assuming (without a good reason) that I am saying {data} ∩ {knowledge} = ∅ If you look up the chain with the example of singing a Queen song, maybe that will help you better understand the angle that that commenter and I share about the differences between data and knowledge.