custom-distance-metrics

custom-distance-metrics is a skill for Claude Code, Codex from cxcscmu/SkillLearnBench. It costs 25 tokens per session (310 once invoked), scanned A, original, MIT.

A guide to giving DBSCAN clustering a custom distance calculation, including weighted Euclidean distance. DBSCAN is a method for grouping nearby data points and marking isolated points as noise.

In plain words
What is it for?
Use it to build distance matrices with SciPy and apply them to DBSCAN clustering in scikit-learn.
Why use it?
It lets clusters reflect the relative importance of different measurements instead of treating every coordinate equally.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it to build distance matrices with SciPy and apply them to DBSCAN clustering in scikit-learn.

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Install with agentmods
npx agentmods add skills/cxcscmu/skilllearnbench/custom-distance-metrics
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add cxcscmu/SkillLearnBench --skill custom-distance-metrics
Clone the repo
git clone --depth 1 https://github.com/cxcscmu/SkillLearnBench

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for custom-distance-metrics

README.md
[![agentmods](https://agentmods.dev/badge/skills/cxcscmu/skilllearnbench/custom-distance-metrics.svg)](https://agentmods.dev/skills/cxcscmu/skilllearnbench/custom-distance-metrics)
Your own site
<a href="https://agentmods.dev/skills/cxcscmu/skilllearnbench/custom-distance-metrics"><img src="https://agentmods.dev/badge/skills/cxcscmu/skilllearnbench/custom-distance-metrics.svg" alt="Measured on agentmods" height="20"></a>
Per session 25 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 310 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00025 $0.00310
Opus 5 $0.00013 $0.00155
Sonnet 5 $0.00005 $0.00062
Haiku 4.5 $0.00003 $0.00031

Measured 4d ago against content hash a7107392e03a, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-07, from the pricing page.

Security

Grade A, and why

custom-distance-metrics scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 4d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/b1-one-shot-claude-opus-4-6/dbscan-parameter-tuning/custom-distance-metrics/SKILL.md · 37 lines

What it actually says

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:

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
Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 4d ago First seen · 37 lines · 25 tokens per session scan A a7107392e03a

Subscribe to this mod's changes

custom-distance-metrics is a skill published in the GitHub repository cxcscmu/SkillLearnBench (83 stars, last pushed 2mo ago), licensed MIT. It adds 25 tokens to every session and 310 once invoked, about $0.0001 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.

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