Suggesting weighted geometric mean profile metric

[nkapila6]

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I couldn't find the best place to give GitHub product suggestions so thought this would be the best place to do it.

Problem

With rise of AI slop and contributions, stars are no longer a reliable metric to understand the technical ability and capability of a GitHub profile.

My suggestion is to have a star to repo ratio. While this isn't perfect as some actors would slip through. At the very least, it'll filter out folks and shows GitHub cares about quality over volume.

The metric

$$\sigma = \frac{\sum_{i=1}^{n} \text{stars}_i \cdot w_i}{n^{0.5}} \cdot \log_{10}(n + 1)$$

Parameters:

• n = number of repos
• stars_i = stars on repo i
• w_i = recency weight
• α = 0.5 (square root normalization)

Recency Weights:

Activity	Weight (w)
Active in last year	1.0
1–3 years stale	0.7
3+ years stale	0.5

Scenario 1: one viral hit
Dev A
1 repo, 10,000 stars, still active

$$\sigma = \frac{10000 \times 1.0}{1^{0.5}} \cdot \log_{10}(2) = \frac{10000}{1} \times 0.301 = 3010$$

Scenario 2: consistent contributor
Dev B
50 repos, 40 active (avg 500 stars), 10 stale (avg 200 stars)

$$\sigma = \frac{(40 \times 500 \times 1.0) + (10 \times 200 \times 0.7)}{50^{0.5}} \cdot \log_{10}(51)$$ $$= \frac{20000 + 1400}{7.07} \times 1.708 = 3026 \times 1.708 = 5168$$

Dev B beats Dev A

Scenario 3: repo spammer
Dev C
200 repos, 190 have 0 to 2 stars (avg 1), 10 have 100 stars, all stale

$$\sigma = \frac{(190 \times 1 \times 0.5) + (10 \times 100 \times 0.5)}{200^{0.5}} \cdot \log_{10}(201)$$

$$= \frac{95 + 500}{14.14} \times 2.303 = 42.08 \times 2.303 = 96.9$$

Low score creating empty repos doesn't game it.

Scenario 4: someone who abandoned but HQ contribs
Dev D
5 repos, all 3+ years stale, but 8,000 stars each

$$\sigma = \frac{5 \times 8000 \times 0.5}{5^{0.5}} \cdot \log_{10}(6) = \frac{20000}{2.236} \times 0.778 = 8944 \times 0.778 = 6959$$

Still scores well (past impact matters), but less than if they were still active where it would be:

$$\sigma_{\text{active}} = \frac{40000}{2.236} \times 0.778 = 13918$$

Scenario 5: active contrib, modest stars
Dev E
with 30 repos, all active, avg 50 stars each

$$\sigma = \frac{30 \times 50 \times 1.0}{30^{0.5}} \cdot \log_{10}(31) = \frac{1500}{5.477} \times 1.491 = 273.9 \times 1.491 = 408$$

Modest but respectabl reflects real-world utility.

Final Ranking: D > B > A > E > C

Where does it fail?

No metric is perfect. Each comes with its own bias of sorts.. but at least this gets us somewhere?

• should it take into account contributions on widely used open source projects?
• should have a diminishing returns on stars? I think first 1-2k stars indicate project is really useful and everything after that is just popularity
• should formula have a ceiling?

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