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nstucki / Betti-matching

MIT License
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About Betti Errors #1

Closed vokcow closed 3 months ago

vokcow commented 1 year ago

Hi, many thanks for this great project!

I am quite new to all this computational topology stuff. Could you please let me know if my understanding is correct:

The Betti_number_error method of the BettiMatching class will return the b0 error if dimension is 0, the b1 error if dimension is 1, and the mean of both if dimensions are [0,1]?

Many thanks!

nstucki commented 1 year ago

Hi,

I am happy to hear that you like the project.

The Betti_number_error in the BettiMatching class computes the Betti_number_error. By default it computes the sum of dimension 0 and 1. But you can restrict to your dimension of interest if you set the option dim=0 or dim=1.

I hope this clarifies your question.

Best, Nico

On 10. May 2023, at 18:26, Angel Victor Juanco Müller @.***> wrote:

Hi, many thanks for this great project!

I am quite new to all this computational topology stuff. Could you please let me know if my understanding is correct:

The Betti_number_error method of the BettiMatching class will return the b0 error if dimension is 0, the b1 error if dimension is 1, and the mean of both if dimensions are [0,1]?

Many thanks!

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vokcow commented 1 year ago

Hi Niko, many thanks! I think then yes, setting dim=0 would compute the betti error with respect to the betti number 0 (number of connected components, or 0-dimenisonal holes) and dim=1 would do the same for the betti number 1 (number of 1-dimensional holes). Thanks! Victor.