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How to fit any dataset with a single parameter

arxiv.org

81–90 of 155 posts

Re: How to fit any dataset with a single parameter

#81
post #17

This reminds me of a joke idea I read somewhere: You can encode the entire Encyclopaedia Britannica using a single mark on a simple stick! Just encode the text as a ascii codes after the decimal dot of a zero. (0.656168.. etc). Then just mark that ratio of the sticks length and you're done...

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

> Reality, in being geometrical,

Prove it.

Re: How to fit any dataset with a single parameter

#82
post #17

This reminds me of a joke idea I read somewhere: You can encode the entire Encyclopaedia Britannica using a single mark on a simple stick! Just encode the text as a ascii codes after the decimal dot of a zero. (0.656168.. etc). Then just mark that ratio of the sticks length and you're done...

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

Planck length and the speed of light define the limits.

It's also a resolution of Xeno's Paradox.

Re: How to fit any dataset with a single parameter

#83
post #17

This reminds me of a joke idea I read somewhere: You can encode the entire Encyclopaedia Britannica using a single mark on a simple stick! Just encode the text as a ascii codes after the decimal dot of a zero. (0.656168.. etc). Then just mark that ratio of the sticks length and you're done...

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

As an aside, this idea that reality is "geometrical" leads to all kinds of fascinating paradoxes[1].

[1] https://arxiv.org/abs/1609.01421

Re: How to fit any dataset with a single parameter

#84
post #17

This reminds me of a joke idea I read somewhere: You can encode the entire Encyclopaedia Britannica using a single mark on a simple stick! Just encode the text as a ascii codes after the decimal dot of a zero. (0.656168.. etc). Then just mark that ratio of the sticks length and you're done...

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

What you are saying is P/=NP

Re: How to fit any dataset with a single parameter

#85
post #17

This reminds me of a joke idea I read somewhere: You can encode the entire Encyclopaedia Britannica using a single mark on a simple stick! Just encode the text as a ascii codes after the decimal dot of a zero. (0.656168.. etc). Then just mark that ratio of the sticks length and you're done...

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

To your last point: "All models are wrong, but some are useful."

Re: How to fit any dataset with a single parameter

#86
post #17

This reminds me of a joke idea I read somewhere: You can encode the entire Encyclopaedia Britannica using a single mark on a simple stick! Just encode the text as a ascii codes after the decimal dot of a zero. (0.656168.. etc). Then just mark that ratio of the sticks length and you're done...

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

Indeed! I term it the 'Cardinality Barrier'.

It is gratifying to know that the mathematician Georg Cantor demolished AI some hundred odd years before any engineer had thought seriously of it.

Re: How to fit any dataset with a single parameter

#87

Earlier quoted context omitted.

I don't see this as a joke, but a radical and important point. Reality, in being geometrical, is infinitely informationally dense (with a discrete conception of information). This distinction between geometrical space and time, and discrete algorithmic computability is unbridgeable. And hence there is an extemely firm footing on which to reject: AI, brain scanning readers, teleporters, etc and most sci-fi computation…

Indeed! I term it the 'Cardinality Barrier'. It is gratifying to know that the mathematician Georg Cantor demolished AI some hundred odd years before any engineer had thought seriously of it.

> Cantor demolished AI

Citation needed. Btw nothing in this thread has anything to do with AI. Perhaps you are using a very unusual definition of AI that programmers don't use? Or maybe I just fell for satire. It's really hard to tell on this site.

Re: How to fit any dataset with a single parameter

#88

Earlier quoted context omitted.

I used to think there must be something 'special' to brains to distinguish us from computers. There isn't. Brains encode finite amounts of information (quantum mechanics seems to imply bounded local information). We are a huge information network ourselves -- that's what consciousness is (with some added bits like self-identity and various particulars structures that dictate the character of our experience). But that…

the issue isn't brains no algorithm running on a cpu can move a muscle -- it is precisely that movement is a spatiotemporal property which means no turing machine can realise it movement isn't a symbolic operation

In this very narrow sense that you are defining, no brain can move a muscle either. All it can do is send signals. A computer can do the same.

If you are making a broader claim about the limits of hardware vs. wetware the you will need to clarify things a bit further.

Re: How to fit any dataset with a single parameter

#89
post #77
post #7

This sounds like it could explain many ML models ;)

It’s actually possible in theory for part of a neural net to simply encode the training data and use it to regurgitate responses. In practice, more efficient parts of the network should win in the end.

Has nobody in this thread heard of https://en.m.wikipedia.org/wiki/Cross-validation_(statistics...

Every ml tutorial start with splitting your data in into a training set and validation set.

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