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⚡ Bolt: Optimize auto_k_selection distance calculations with early exits#132

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bolt-optimize-clustering-distance-8221590513658495514
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⚡ Bolt: Optimize auto_k_selection distance calculations with early exits#132
teerthsharma wants to merge 1 commit into
masterfrom
bolt-optimize-clustering-distance-8221590513658495514

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@teerthsharma

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💡 What:
In aether-core::ml::clustering::auto_k_selection, the distance() function which invokes libm::sqrt was called repeatedly in an $O(N^2)$ neighborhood scan. The optimization pre-calculates the squared epsilon (eps_sq) threshold, asserting its validity once before entering the loop. The sqrt is eliminated completely by checking !(sum < eps_sq) within an inline distance accumulation loop.

🎯 Why:
Inside high-frequency geometric neighborhood scans, calling sqrt creates significant computational overhead that is fundamentally unnecessary when simple threshold checking is needed.

📊 Impact:
Removes $O(N^2)$ calls to sqrt in the Betti 0 component counting phase, significantly speeding up auto-k discovery.

🔬 Measurement:
Running cargo test -p aether-core clustering maintains the correct output while bypassing redundant floating-point operations.

Additionally updated the auto_k_selection increment bug to maintain functionality and verified with passing test suites.


PR created automatically by Jules for task 8221590513658495514 started by @teerthsharma

…sqrt

Replaced external `distance` call in the BFS loop of `auto_k_selection`
with an inline square distance check. Utilizing an early exit threshold
evaluation (`!(sum < eps_sq)`) eliminates costly `libm::sqrt` invocations
inside hot neighborhood scanning paths while remaining resilient to NaNs.

Co-authored-by: teerthsharma <78080953+teerthsharma@users.noreply.github.com>
@google-labs-jules

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