PPolySim OS

k-Nearest Neighbors

The laziest classifier that works: to label a point, just ask its nearest neighbors to vote. Watch the decision regions shift as you change k.

k-Nearest NeighborsLive

Controls

Presets

k-NN classifies a point by majority vote of its k nearest labeled neighbors. Small k gives jagged, overfit boundaries that chase noise; large k smooths them out but can blur real structure. It is the simplest possible classifier — no training at all. Educational tool.

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Data Inspector

Neighbors5
Boundarybalanced

Governing equation

Reading this result: k = 5 sits in the sweet spot: enough neighbors to shrug off noise, few enough to keep the true boundary shape.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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How it works

k-NN stores the training data and classifies a new point by majority vote of its k closest examples. A small k hugs every point (low bias, high variance); a large k smooths the boundary (higher bias, lower variance). It needs no training but grows costly at prediction time. Educational tool.

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Frequently asked questions

Is this knn classifier simulator tool really free?▾
Yes. k-Nearest Neighbors runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.