# Cached entropy estimates

Machine-generated by [`.github/workflows/estimates.yml`][wf] on `main` — do not
edit by hand. Every dispatch runs the whole grid again with fresh, independent
pasts, appends one record per cell to `runs.jsonl`, and rebuilds
`estimates.json` from the full log, so the means tighten run after run.

- **`runs.jsonl`** — append-only, one JSON object per (cell, dispatch): the
  cell's parameters, the per-past values with their sum and sum of squares,
  the per-past resolved Gibbs thinning and probe autocorrelation times
  (`thin='auto'` matches thinning to each chain's measured mixing), the
  seed, and the code commit that produced them.
- **`estimates.json`** — pooled `mean` and `se` per cell over every past ever
  drawn for it, alongside the analytic `predicted` rate for comparison.

The estimand is H(z_(M+1) | z_1..z_M) in bits/sample — an upper bound on the
entropy rate of z that tightens as the conditioning window M grows.

Fetch it from a browser or a script (raw.githubusercontent.com sends
`access-control-allow-origin: *`):

    https://raw.githubusercontent.com/concept-collection/timeseries-entropy/estimates/estimates.json

## Current state (100 runs, generated 2026-08-12T14:19:39Z)

| cell | sigma | M | mean | se | pasts | predicted |
| --- | --- | --- | --- | --- | --- | --- |
| bp300-6000_s1 | 1 | 512 | 0.9312 | 0.0044 | 800 | 0.9513 |
| bp300-6000_s16 | 16 | 512 | 2.5422 | 0.0077 | 800 | 2.5680 |
| bp300-6000_s2 | 2 | 512 | 1.3098 | 0.0041 | 800 | 1.3319 |
| bp300-6000_s32 | 32 | 512 | 2.9701 | 0.0184 | 800 | 2.9938 |
| bp300-6000_s4 | 4 | 512 | 1.7242 | 0.0048 | 800 | 1.7342 |
| bp300-6000_s8 | 8 | 512 | 2.1336 | 0.0072 | 800 | 2.1476 |
| lp3000_s1 | 1 | 512 | 0.4771 | 0.0083 | 800 | 0.6166 |
| lp3000_s16 | 16 | 512 | 1.4457 | 0.0066 | 800 | 1.4888 |
| lp3000_s2 | 2 | 512 | 0.7627 | 0.0095 | 800 | 0.8251 |
| lp3000_s32 | 32 | 512 | 1.6650 | 0.0071 | 800 | 1.7179 |
| lp3000_s4 | 4 | 512 | 0.9885 | 0.0068 | 800 | 1.0415 |
| lp3000_s8 | 8 | 512 | 1.2133 | 0.0078 | 800 | 1.2632 |
| ma8_s1 | 1 | 512 | 0.4728 | 0.0072 | 800 | 0.6100 |
| ma8_s16 | 16 | 512 | 3.1813 | 0.0092 | 800 | 3.1777 |
| ma8_s2 | 2 | 512 | 0.9758 | 0.0034 | 800 | 0.9825 |
| ma8_s32 | 32 | 512 | 4.0863 | 0.0084 | 800 | 4.1125 |
| ma8_s4 | 4 | 512 | 1.5559 | 0.0037 | 800 | 1.5529 |
| ma8_s8 | 8 | 512 | 2.3046 | 0.0057 | 800 | 2.3064 |
| none_s1 | 1 | 512 | 2.1061 | 0.0025 | 800 | 2.1048 |
| none_s16 | 16 | 512 | 6.0151 | 0.0167 | 800 | 6.0473 |
| none_s2 | 2 | 512 | 3.0659 | 0.0032 | 800 | 3.0620 |
| none_s32 | 32 | 512 | 7.0749 | 0.0398 | 800 | 7.0472 |
| none_s4 | 4 | 512 | 4.0375 | 0.0048 | 800 | 4.0508 |
| none_s8 | 8 | 512 | 5.0670 | 0.0111 | 800 | 5.0480 |

[wf]: https://github.com/concept-collection/timeseries-entropy/blob/main/.github/workflows/estimates.yml