esda-mh-diffusion-distance

Task gallery / Data processing / data science / Version 1

Reference solution (oracle): Unverified
No-op resistance check: Unverified
QA verdict: Not recorded
Aggregate eligibility: Eligible version

The task

Metropolis–Hastings diffusion distance to uniformity Moran's I and the other global statistics in esda summarize one step of interaction between neighbours. We would like a global clustering statistic that also reflects the larger-scale geometry of the weights graph: start a Markov chain on the units from the observed distribution of a variable, let it diffuse towards the uniform distribution, and count the steps un…

Excerpt only; not a complete executable task specification. Task ID task_497082259544425d · version 1. Selection status: not fully recorded.

Results by model and effort

This exact task version only. Every rate is passes / valid runs with a Wilson 95% interval; n≤2 remains counts only. Macro aggregation does not apply within a single task. Baselines are summarized in the quality gates, not ranked. A passed no-op resistance check means that doing nothing did not solve the task.

Current evidence

Model / effort	Verifier result [95% Wilson]	Diagnostic labels / valid	HARNESS_ERROR · excluded	Outcome classes
GPT-6 Astra · default (unverified)	2/2	0 / 2	0	GOOD_FAILURE: 0 BAD_FAILURE: 0 GOOD_SUCCESS: 0 BAD_SUCCESS: 0

Legacy evidence

Model / effort	Verifier result [95% Wilson]	Diagnostic labels / valid	HARNESS_ERROR · excluded	Outcome classes

Every recorded run

2 recorded trials, including controls. Diagnostic labels do not replace verifier reward. Labels and quality checks are source declarations, not independently attested here. Internal evidence remains private; a missing public URL is shown explicitly. Records with invalid or absent rewards are not scored.

Run / model	Date / source	Reward / eligibility	Diagnostic class / source	Resources	Evidence
`trial_5a26cf885bf348c0` GPT-6 Astra · default (unverified)	Oct 18, 2026 console	1 · valid	No diagnostic label derived	Tokens: — Turns: — Cost: —	Not publicly available
`trial_f11dda63b0fc46f3` GPT-6 Astra · default (unverified)	Oct 18, 2026 console	1 · valid	No diagnostic label derived	Tokens: — Turns: — Cost: —	Not publicly available