dbscan-custom-metrics SKILL.md skillA

dbscan-custom-metrics from cxcscmu/skilllearnbench is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.

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mdr add cxcscmu/skilllearnbench/dbscan-custom-metrics@git:20260424.d50cf5a

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SKILL.md skill
Repository
cxcscmu/skilllearnbench
Path
skills/b1-one-shot-claude-haiku-4-5/dbscan-parameter-tuning/dbscan-custom-metrics/SKILL.md
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1
Latest version
git:20260424.d50cf5a, committed Apr 24, 2026
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Repository stars
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License
MIT

Implement DBSCAN clustering with custom distance metrics using scikit-learn's pairwise_distances.

Collected from public GitHub. Every version is saved exactly as it was and never changes. Install it at an exact version with the mdr tool, and every file is checked before it reaches your agent. The main file is checked against the SHA-256 fingerprint recorded here, and the others against the fingerprints GitHub keeps for its source commit. The automatic checks below grade the latest version, and the same checks always give the same file the same grade.

What the file says

# DBSCAN with Custom Distance Metrics

## Overview
DBSCAN can use custom distance metrics by computing a precomputed distance matrix or using `pairwise_distances` with a custom metric function.

## Key Concepts

### Custom Metric Function
A custom metric function takes two 1D arrays (two points) and returns a scalar distance:

```python
def custom_metric(u, v, shape_weight):
    """Compute weighted distance between two points."""
    dx = u[0] - v[0]
    dy = u[1] - v[1]
    return np.sqrt((shape_weight * dx)**2 + ((2 - shape_weight) * dy)**2)
```

### Using with scikit-learn

For DBSCAN with a custom metric, use `metric='precomputed'` and pass a precomputed distance matrix:

```python
from sklearn.metrics.pairwise import pairwise_distances
from sklearn.cluster import DBSCAN

# Compute precomputed distance matrix
distances = pairwise_distances(
    points,
    metric=custom_metric,
    metric_params={'shape_weight': w}
)

# Run DBSCAN with precomputed distances
clusterer = DBSCAN(eps=epsilon, min_samples=min_samples, metric='precomputed')
labels = clusterer.fit_predict(distances)
```

## Implementation Pattern

```python
import numpy as np
…

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How to install

The exact contents, by fingerprint
mdr add cxcscmu/skilllearnbench/dbscan-custom-metrics@sha256:66acde56431f0222

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The registry has recorded 1 version of this file, committed on Apr 24, 2026.

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Source

GitHub

cxcscmu/skilllearnbench · 91 stars · license MIT · pushed 2026-10-02 · branch main

API

GET https://markdownregistry.com/api/v1/artifacts/art_xv7g2i4rcaoiotpu
GET https://markdownregistry.com/api/v1/resolve?ref=cxcscmu/skilllearnbench/dbscan-custom-metrics
GET https://markdownregistry.com/api/v1/blob/66acde56431f022242d75d46f64d1944c2ff4f836a8c6bbb14e35efa15578dba

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