dbscan-custom-metric SKILL.md skillA

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

Install it, pinned
mdr add cxcscmu/skilllearnbench/dbscan-custom-metric@git:20260424.d50cf5a

Pins git:20260424.d50cf5a in mdr.lock. Pin the fingerprint instead.

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Kind
SKILL.md skill
Repository
cxcscmu/skilllearnbench
Path
skills/b1-one-shot-claude-sonnet-4-6/dbscan-parameter-tuning/dbscan-custom-metric/SKILL.md
Versions recorded
1
Latest version
git:20260424.d50cf5a, committed Apr 24, 2026
Size
5,680 bytes
Repository stars
91
License
MIT

Run DBSCAN clustering with a custom distance metric using sklearn, including how to define weighted Euclidean metrics and extract cluster centroids.

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

scikit-learn's DBSCAN accepts a `metric` parameter that can be a callable Python function. When using a custom metric, set `algorithm='ball_tree'` or `algorithm='brute'` (default `'auto'` may not support custom callables).

## Installation

```bash
pip install scikit-learn numpy
```

## Custom Metric Definition

A custom metric must accept two 1D arrays and return a scalar distance.

```python
import numpy as np

def weighted_euclidean(a, b, w=1.0):
    """
    Weighted Euclidean distance:
      d(a, b) = sqrt((w * Δx)² + ((2 - w) * Δy)²)

    When w=1: standard Euclidean distance.
    w>1: attenuates y-distances (stretches x influence).
    w<1: attenuates x-distances (stretches y influence).
    """
    dx = a[0] - b[0]
    dy = a[1] - b[1]
    return np.sqrt((w * dx)**2 + ((2 - w) * dy)**2)
```

## Using with DBSCAN

DBSCAN requires a metric with a fixed signature `(a, b) -> float`. Use `functools.partial` or a closure to bind parameters:

```python
from sklearn.cluster import DBSCAN
from functools import partial
import numpy as np

def make_metric(shape_weight):
    def metric(a, b):
        dx = a[0] - b[0]
…

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How to install

The exact contents, by fingerprint
mdr add cxcscmu/skilllearnbench/dbscan-custom-metric@sha256:8016b5b829d4c45e

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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_3pvrmvm4cfnihu5h
GET https://markdownregistry.com/api/v1/resolve?ref=cxcscmu/skilllearnbench/dbscan-custom-metric
GET https://markdownregistry.com/api/v1/blob/8016b5b829d4c45e246270619564cb175021674c2a6ba7c64ad05b4f0c2e5d4e

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