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Custom Distance Metrics

Organization
cxcscmu
custom-distance-metrics

Define custom distance/similarity metrics for DBSCAN clustering with sklearn, using weighted Euclidean distances.

Overview

Publishercxcscmu
RepositorySkillLearnBench
Skill namecustom-distance-metrics
Stars
91
Forks
7
Bundled files
Instructions only
LicenseMIT
Links
Skill sourceRepositoryHomepage
  • Markdown instructions

    A SKILL.md file the model loads on demand, so it only costs tokens when a request actually matches.

  • Works with any LLM

    AI skills are plain Markdown, not provider-specific code, so this works with GPT, Claude, Gemini, Grok, or a local model.

  • Self-contained

    Everything the model needs lives in the instructions — no extra files to sync.

  • Open source

    Published by cxcscmu on GitHub. Read the source before you install it.

Installation

Install the Custom Distance Metrics AI skill in TypingMind to use it with any LLM, or drop it into another agent that reads SKILL.md.

1

Install in TypingMind

TypingMind installs a skill straight from its GitHub folder — it reads SKILL.md, bundles the resource files, and stores the result locally.

  1. Open the app and go to Plugins → Skills.
  2. Choose "Install from GitHub".
  3. Paste the skill folder URL below and confirm.
    https://github.com/cxcscmu/SkillLearnBench/tree/main/skills/b1-one-shot-claude-opus-4-6/dbscan-parameter-tuning/custom-distance-metrics
  4. Enable the skill in any chat where you want it available.
Plugins → Skills → Add skill → From GitHub URL, then paste the folder URL and press Continue.
2

Install in another agent

Any agent that reads the Agent Skills format can use this skill — copy the folder into that agent's skills directory.

Claude Code — .claude/skills
git clone --depth 1 https://github.com/cxcscmu/SkillLearnBench.git /tmp/SkillLearnBench
mkdir -p .claude/skills
cp -r /tmp/SkillLearnBench/skills/b1-one-shot-claude-opus-4-6/dbscan-parameter-tuning/custom-distance-metrics .claude/skills/custom-distance-metrics
Restart Claude Code after copying so it picks up the new skill.

Use it in TypingMind

Enable Custom Distance Metrics in any TypingMind chat and the model takes it from there. Its name and description sit in the system prompt, and the moment a request matches, the model loads the full instructions itself — you never invoke it by hand, and it costs no tokens until it is actually used.

The model loads Custom Distance Metrics on its own as soon as a request matches it.

Works with any AI model

AI skills are plain Markdown instructions rather than provider-specific code, so Custom Distance Metrics is not tied to the model it was written for. Install it once in TypingMind and use it with GPT-5, Claude, Gemini, Grok, DeepSeek, Mistral, Llama, or a local model you run yourself — all on your own API keys.

  • Loaded only when it is needed

    The system prompt carries just the name and description. The instructions are fetched on the first matching request, so an idle skill costs nothing.

  • Switch models mid-chat

    Because the skill is instructions rather than code, changing model does not break it — the next model reads the same SKILL.md.

Skill instructions

This is the SKILL.md content the model loads. Read it before installing — a skill is instructions your model will follow.

Custom Distance Metrics for DBSCAN

Overview

DBSCAN in sklearn supports custom distance metrics via metric='precomputed' (pass a distance matrix) or metric=callable with the pairwise distance function.

Approach: Precomputed Distance Matrix

For small-to-medium datasets per image, computing a full pairwise distance matrix is efficient:

python
from sklearn.cluster import DBSCAN
from scipy.spatial.distance import pdist, squareform
import numpy as np

def weighted_euclidean(points, w):
    """Compute pairwise weighted Euclidean distance.
    d(a,b) = sqrt((w*dx)^2 + ((2-w)*dy)^2)
    """
    scaled = points * [w, 2 - w]
    return squareform(pdist(scaled, metric='euclidean'))

# Usage
dist_matrix = weighted_euclidean(points_xy, shape_weight)
db = DBSCAN(eps=epsilon, min_samples=min_samples, metric='precomputed')
labels = db.fit_predict(dist_matrix)

Key Points

  • pdist + squareform is faster than looping over pairs
  • Scale the coordinates before computing standard Euclidean = same as custom weighted metric
  • When w=1, this equals standard Euclidean distance
  • Cluster centroids are computed from original (unscaled) coordinates

Frequently asked questions

What does the Custom Distance Metrics AI skill do?

Define custom distance/similarity metrics for DBSCAN clustering with sklearn, using weighted Euclidean distances.

Why use Custom Distance Metrics on TypingMind?

Because you install it once and use it with any model. Custom Distance Metrics is plain Markdown rather than provider-specific code, so the same skill runs on GPT-5, Claude, Gemini, Grok, or a local model — and you can switch model mid-chat without it breaking. TypingMind runs on your own API keys, so you pay providers directly instead of a per-seat subscription, and your skills and chats stay in your own storage.

How do I install Custom Distance Metrics in TypingMind?

Open Plugins → Skills → Install from GitHub in TypingMind and paste https://github.com/cxcscmu/SkillLearnBench/tree/main/skills/b1-one-shot-claude-opus-4-6/dbscan-parameter-tuning/custom-distance-metrics. TypingMind reads its SKILL.md and installs it as a skill you can enable per chat.

Which AI models can use Custom Distance Metrics?

Any model you connect in TypingMind. AI skills are plain Markdown instructions rather than provider-specific code, so GPT, Claude, Gemini, Grok, and local models can all load this skill when a request matches it.

How many AI models can I use with Custom Distance Metrics?

As many as you like. As long as a model supports skills, you can use Custom Distance Metrics with it — GPT, Claude, Gemini, Grok, DeepSeek, Mistral, Llama and more — all on TypingMind with your own API keys.

Is the Custom Distance Metrics AI skill free?

Yes. It is published on GitHub by cxcscmu under the MIT license. You only pay your own AI provider for the tokens you use.

What are AI skills?

An AI skill is a reusable instruction bundle that teaches an AI model how to do one specific task. It follows the open Agent Skills format: a SKILL.md file with a name and description, plus any scripts, templates or reference files the model may need. The model reads the instructions only when your request matches the skill, so an installed skill costs nothing until it is used.

How are AI skills different from plugins or MCP servers?

A plugin or MCP server gives a model new tools to call — code that runs somewhere and returns a result. An AI skill gives the model knowledge and process instead: how to approach a task, which steps to follow, what good output looks like. Skills are plain Markdown, so they need no server, no API key and no runtime, and they work with any model.

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