4 ms·

Yeah, I've been thinking about similar concepts in a different context. Fascinating. Regarding the role of time, the idea of a purely conserved quantity is tha

by Raro 3y ago

Yeah, I've been thinking about similar concepts in a different context. Fascinating. Regarding the role of time, the idea of a purely conserved quantity is that it is conserved under the conditions of the system (that's why the article frequently references Newton's First Law), so they're generally held "for all time that these symmetries exist in the system". Specifically on time: the invariant for systems that exhibit continuous time symmetries (i.e. you move a little bit forward or backward in time and the system looks exactly the same) is energy.

dustingetz 3y ago
Here's my ELI5 attempt of the time/energy relation: imagine a spring at rest (not moving) strike the spring, it's now oscillating the system now contains energy like a battery what is energy? it's stored work potential the battery is storing the energy, which can then be taken out at some future time the spring is transporting the energy through time in fact how do we measure time? with clocks. What's a clock? It's an oscillator. The energized spring is the clock. When system energy is zero, what is time even? There's no baseline against which to measure change when nothing is changing
- PaulHoule 3y ago
  Symmetry exists abstractly, apart from time. There are many machine learning problems which should have symmetries: a picture of a cow rotated 135 degrees is still a picture of a cow, the meaning of spoken words shouldn't change with the audio level, etc. If they were doing machine learning on tracks from the LHC the system ought to take account of relativistic momentum and energy. Can a model learn a symmetry? Or should a symmetry just be built into the model from the beginning?
  - sdenton4 3y ago
    Equivariant machine learning is a thing that people have tried... Tends to be expensive and slow, though, and imposes invariances that our model (a universal function approximator, recall) should just learn anyway: If you don't have enough pictures of upside down cows, just train a normal model with augmentations.
- slingnow 3y ago
  [flagged]

by Raro 3y ago

dustingetz 3y ago

Here's my ELI5 attempt of the time/energy relation: imagine a spring at rest (not moving) strike the spring, it's now oscillating the system now contains energy like a battery what is energy? it's stored work potential the battery is storing the energy, which can then be taken out at some future time the spring is transporting the energy through time in fact how do we measure time? with clocks. What's a clock? It's an oscillator. The energized spring is the clock. When system energy is zero, what is time even? There's no baseline against which to measure change when nothing is changing

PaulHoule 3y ago
Symmetry exists abstractly, apart from time. There are many machine learning problems which should have symmetries: a picture of a cow rotated 135 degrees is still a picture of a cow, the meaning of spoken words shouldn't change with the audio level, etc. If they were doing machine learning on tracks from the LHC the system ought to take account of relativistic momentum and energy. Can a model learn a symmetry? Or should a symmetry just be built into the model from the beginning?
- sdenton4 3y ago
  Equivariant machine learning is a thing that people have tried... Tends to be expensive and slow, though, and imposes invariances that our model (a universal function approximator, recall) should just learn anyway: If you don't have enough pictures of upside down cows, just train a normal model with augmentations.
slingnow 3y ago
[flagged]