Earlier quoted context omitted.
Don't sell biology short like that. Human driver are born with a mental model of physics that's been honed 24 hours a day since before they were diatoms.
I don't think that's quite right. I believe that humans are essentially born as blank neural networks; it's the structure, and the graph of connections between brain structures and sensory inputs, that is effectively primed for learning certain tasks that we find to be intuitive. A baby is not born with the knowledge of body movement, for example, but through natural exploration of the body and environment, almost al…
Teaching physics to neural networks removes 'chaos blindness'
61–70 of 81 posts
Re: Teaching physics to neural networks removes 'chaos blindness'
#62Why do you need a neural network when you have the Hamiltonian mechanics of the system modeled? I've always understood Langrangian/Hamiltonian mechanics to be methods of modeling the behavior of a system through the decomposition of the external constraints and forces acting on a body. In other words you can understand a complex model by doing some calculus on the less complex constituents of the model. I'm probably…
Re: Teaching physics to neural networks removes 'chaos blindness'
#63Earlier quoted context omitted.
Eh, I've seen my baby sucking on its thumb, and then the baby jerks and the thumb goes away, baby cries, somehow the wild flailing gets the thumb back to the mouth. Baby happy again, sucking on its own thumb. I agree that we are not born a blank slate, but at the same time, there's a lot of knowledge missing on a newborn baby.
Even if the baby has trouble getting the thumb into the mouth at first, it has no trouble sucking it. Or any of thousands of other instinctive behaviors.
Re: Teaching physics to neural networks removes 'chaos blindness'
#64Earlier quoted context omitted.
Don't sell biology short like that. Human driver are born with a mental model of physics that's been honed 24 hours a day since before they were diatoms.
I don't think that's quite right. I believe that humans are essentially born as blank neural networks; it's the structure, and the graph of connections between brain structures and sensory inputs, that is effectively primed for learning certain tasks that we find to be intuitive. A baby is not born with the knowledge of body movement, for example, but through natural exploration of the body and environment, almost al…
Re: Teaching physics to neural networks removes 'chaos blindness'
#65Brings to mind this classic from the Jargon File: http://www.catb.org/~esr/jargon/html/koans.html In the days when Sussman was a novice, Minsky once came to him as he sat hacking at the PDP-6. “What are you doing?”, asked Minsky. “I am training a randomly wired neural net to play Tic-Tac-Toe” Sussman replied. “Why is the net wired randomly?”, asked Minsky. “I do not want it to have any preconceptions of how to play”,…
Re: Teaching physics to neural networks removes 'chaos blindness'
#66Brings to mind this classic from the Jargon File: http://www.catb.org/~esr/jargon/html/koans.html In the days when Sussman was a novice, Minsky once came to him as he sat hacking at the PDP-6. “What are you doing?”, asked Minsky. “I am training a randomly wired neural net to play Tic-Tac-Toe” Sussman replied. “Why is the net wired randomly?”, asked Minsky. “I do not want it to have any preconceptions of how to play”,…
I don’t get it :(
Re: Teaching physics to neural networks removes 'chaos blindness'
#67Re: Teaching physics to neural networks removes 'chaos blindness'
#68Earlier quoted context omitted.
I don't think that's quite right. I believe that humans are essentially born as blank neural networks; it's the structure, and the graph of connections between brain structures and sensory inputs, that is effectively primed for learning certain tasks that we find to be intuitive. A baby is not born with the knowledge of body movement, for example, but through natural exploration of the body and environment, almost al…
> A baby is not born with the knowledge of body movement Anyone who's witnessed a birth can tell you this is wrong.
Re: Teaching physics to neural networks removes 'chaos blindness'
#69So, here it is: https://github.com/thesz/nn/tree/master/series
A proof of concept implementation of training neural networks process where loss function is a potential energy in Lagrangian function and I even incorporated "speed of light" - the "mass" of particle gets corrected using Lorenz multiplier m=m0/sqrt(1-v^2/c^2).
Everything is done using ideas from quite interesting paper about power of lazy semantics: https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32....
PS Proof-of-concept here means it is grossly inefficient, mainly due to amount of symbolic computation. Yet it works. In some cases. ;)
Re: Teaching physics to neural networks removes 'chaos blindness'
#70> the NAIL team incorporated Hamiltonian structure into neural networks ML non-expert here. Is this the same as having an extra column of your input data that's a hamiltonian of the raw input? Or a kind of neuron that can compute a hamiltonian on an observation? Or something more complicated. is this like a specialized 'functional region' in a biological brain? (broca's area, cerebellum)
Also ML non-expert here. I think this is about a different kind of neuron(your 2nd suggestion). The paper another commenter linked says: Hamiltonian neural network (HNN) intakes position and momenta {q,p}, outputs the scalar function H, takes its gradient to find its position and momentum rates of change, and minimizes the loss which enforces Hamilton's equations of motion. https://journals.aps.org/pre/abstract/10.11…