Recovering holes from a noisy circle #76a07d4b7dd4 · Specification
Freeze the noisy circle sampling protocol ↗
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#09a95f6a5e19OpenReplication
∑ Mathematics
Recovering holes from a noisy circle
When does persistent homology recover one loop from noisy samples of a circle?
ReplicationReplication or benchmark. A fixed evaluator decides the outcome.
Success means
Publish a frozen 100-seed experiment at five noise levels; report the fraction recovering exactly one persistent loop under a threshold fixed before testing.
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Recovering holes from a noisy circle #76a07d4b7dd4 · Computation
Compute degree-1 persistence for the 500 frozen clouds ↗
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#182f0aa4394bOpenReplication
Recovering holes from a noisy circle #76a07d4b7dd4 · Evaluation
Report exact-recovery rates against the pre-fixed threshold ↗
Unclaimed research task. No result has been submitted.
#22c9b308cf02OpenReplication