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Results tagged with machine-learning
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user 30684
52
votes
1
answer
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views
Mathematics of imaging the black hole
The first ever black hole was "pictured" recently, per an announcement made on 10th April, 2019. See for example: https://www.bbc.com/news/science-environment-47873592 .
It has been claimed that stat …
- 2,281
10
votes
How useful is differential geometry and topology to deep learning?
Topological data analysis is already pretty popular in "data science", so much so that there are companies built on this idea. See:
1). https://en.wikipedia.org/wiki/Topological_data_analysis
2).htt …
- 2,281
6
votes
Accepted
Physical interpretation of the Manifold Hypothesis
Q: Might there be a reason why stable physical processes would tend to have low-dimensional phase spaces.
Yes. One reason is physical processes have dissipation. E.g., turbulence is "known" to be cha …
- 2,281
1
vote
Mathematical physics without partial derivatives
One way for reformulating all of (classical) mechanics is Peridynamics, which does away with derivatives. It is essentially a non-local reformulation.
Javili, Ali, et al. "Peridynamics review." Mathem …
- 2,281