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rivetTDA / rivet

RIVET is a tool for Topological Data Analysis, in particular two-parameter persistent homology.
GNU General Public License v3.0
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Compute Cycles #131

Open mlesnick opened 6 years ago

mlesnick commented 6 years ago

@delooper mentions that he'd like some way to access the generating cycles. The various issues with computing cycle representatives notwithstanding, I imagine that this is something other users might also find helpful.

a-e-cole commented 5 years ago

I've been working on an application where access to the generating cycles would be very helpful. (Specifically, I'd like to identify cosmological voids in distributions of galaxies.) Most of the commutative algebra is beyond me (I'm a physicist). Do the difficulties with extracting cycles have more to do with getting this information out of the augmented arrangement, or with some of the relations represented by $\xi_2$? Cheers, Alex

mlesnick commented 5 years ago

Thanks for letting us know about the application. I don't believe that there are any real issues in principle with obtaining generating cycles; our pipeline ought to extend readily. That said, actually implementing this would take some work.

On Thu, Feb 14, 2019 at 5:21 PM acole47 notifications@github.com wrote:

I've been working on an application where access to the generating cycles would be very helpful. (Specifically, I'd like to identify cosmological voids in distributions of galaxies.) Most of the commutative algebra is beyond me (I'm a physicist). Do the difficulties with extracting cycles have more to do with getting this information out of the augmented arrangement, or with some of the relations represented by $\xi_2$? Cheers, Alex

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