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If Factor Analysis cannot successfully analyze the 3 body problem, then why would it be successful with human behavior which is infinitely more dynamic, complex and non-linear? It isnt. The whole field is a fraud.
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>>16911788
we already have a thread about this topic, herre: >>16904603
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3 body cannot be analyzed by any tool beyond certain initial conditions are all fields fraud? there are much simplier expressions with unexpected blowouts like collatz, you should not be so naive, that is illegal on this board
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>>16912197
3 body cannot be mathematically modeled because the systems interact dynamically, non-linearly. Maybe millions of human brains each with one quadrillion synapses interacting is easier to model and can be correctly analyzed by linear equations while 3x [math]{\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}},}[/math] cannot
lmfao
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>>16912285
Factor Analysis provably yield false results when applied to data from a 3 body system. This isnt surprising, it's mathematically self evident since the system is nonlinear and dynamic and Factor Analysis isnt a suitable tool for describing it.
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>>16912475
>>16912285
>angry butthurt fake-career psychometrician detected
why dont you offer an argument or else seethe, cope and dilate?
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>>16912482
>the boogeyman who diagnosed me with an IQ of 70 and brownness is in the room with us right now
Why don't you offer an argument or else seethe, cope and dilate? Your premise is incoherent and your conclusion doesn't follow.
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>collatz is just a tautological circular rewrite system, of course it explodes; ex falso quodlibet
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>>16912487
Well you're also "wrong" and furthermore your trannyhole stinks of death. Report back when you have even a single argument to defend your pozzed slop profession
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>>16912505
>the boogeyman who diagnosed me with an IQ of 70 and brownness is in the room with us right now
Why don't you offer an argument or else seethe, cope and dilate? Your premise is incoherent and your conclusion doesn't follow.
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>>16911788
These are two completely unrelated things, retard.
One is stochastic, the other is chaotic.
The results of the measurement of humans are empirically stochastic. There is nothing to show that they are chaotic. Human behavior is chaotic, the results of a measurement of a human is stochastic.
Factor analysis relates the LINEAR relation between different measurements. You want to model more complex relations then you use pgms or bayesian networks or something.
If you model 3 body problems stochastically then you'd have pure noise. Infinite variance, non stationary, non ergodic (wrt initial position), absolutely uninformative junk
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>>16912560
>Factor analysis relates the LINEAR relation between different measurements.
Wherever more of one thing gives you more of another thing, there's LINEAR relation hidden in there somewhere. You just need to do some feature engineering. :^)
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>>16912563
That's true. You can model an exponential relation as linear and prolly get significant results if you don't measure after your variables explode exponentially.
However if you read the fineprint your statistics professor wrote under "well behaved and non pathological" you'd see that factor analysis would misspecified to deal with 3 body problems, as I elucidated in the second paragraph here (>>16912563)
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>>16912569
>You can model an exponential relation as linear and prolly get significant results if you don't measure after your variables explode exponentially.
That's not the point. An exponential relationship looks linear on a logarithmic scale. Examined that way, it may turn out to have multiple "obvious" factors that boil down to a smaller number of latent factors. Also see >>16912513 for why OP's point is fundamentally retarded.
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>>16912560
>The results of the measurement of humans are empirically stochastic
that doesnt mean the underlying processes are stochastic, they most likely are not. They look stochastic due to measurement error, our lack of knowledge of underlying mechanisms and state, and context variability.
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>>16912560
>Infinite variance
does not follow. Many chaotic systems have bounded attractors/energies and finite moments
>non stationary
many chaotic systems admit invariant measures that make certain statistics stationary
>non ergodic
chaos and ergodicity are related but not equivalent
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>>16912697
>Show how you recover Newton’s inverse-square law, the three masses, and the initial conditions from 3-body trajectory data by means of FA
Why would I need to do that? I thought you were simply retarded but I can see now that you're also mentally ill and "refuting" voices in your head.
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>>16912701
>Factor Analysis cannot successfully analyze the 3 body problem
that's OP
>Newton’s inverse-square law, the three masses, and the initial conditions
those are the ontic hidden laws and variables that govern a 3 body system that FA fails to recover from the observed data. If FA is incapable of recovering anything useful about a not very complex dynamic system involving three physical bodies, how could it successfully analyze the dynamic interaction of a quadrillion bio-/electrical circuits that are connected in larger networks
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>>16912693
How are you modelling the 3 body problem?
Mu reasoning is as follows: Model the location of each of the three bodies as a 3 dim stochastic process of the three bodies over time. Stochasticity comes from X_0 being stochastic and not fixed.
>Infinite variance
Some initial states make the bodies escape gravity of other bodies and fling away into into infinity away.
>Non ergodic
Pretty much every realization given a fixed X_0=x has a completly different behavior, moments, etc
>Non stationary
Pretty much any initial setup that doesn't result in stability is non stationary
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>>16912707
>How are you modelling the 3 body problem?
The token guesser is not modeling anything and it has no clue what's supposed to be analogous to what between the 3-body problem and how factor analysis is used in psychometrics.
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>>16912714
One day you'll defeat the voices (but not before you start taking your prescribed Risperidone). Either way, my point stands completely unchallenged. A linear combination of factors can indirectly produce a non-linear and chaotic behavior, but Factor Analysis isn't used as a tool for demonstrating that this is the case. It's for when you know (or have a good reason to believe) that a bunch of variables influence some outcome linearly, but you suspect they are correlated and want to know if it all boils down to a smaller number of factors. No one is using Factor Analysis to untangle an individual's trajectory through life. You're unambiguously an imbecile, have been diagnosed as such, and are coping desperately with your IQ score.
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>>16911788
>If you can't solve 3-body problems, that means you can't solve any general n-body problem
Some of you guys have never taken a statistics class in your life and you show your own ass without even realizing it
>>16912737
A system of second order nonlinear diff eq's is used in finance, physics, fluid dynamics all the time lol
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>Be me
>Coworker falls ill unexpectedly
>Asked to cover as examiner in thesis defense at end of month.
>Usually use AI to generate investigative points
>Burned all my tokens last week generating futanari porn of Will Chamberlain to troll on netsec forum.
>Get idea
>Post profoundly obtuse and argumentative takes on 3-body
>Guy working at fermi lab replies to post
>Gets called a tranny and told to dilate
>Becomes incensed and dismantles the detractors with arguments
>Take points to build and use in examination
>I don’t want to hear your takes about transport geometry at 8AM.
>Let /sci do the work, save the tokens.
>Success
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>>16912190
Deboonked by Game Theory