# 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 (159 runs, generated 2026-08-17T15:21:47Z)

| cell | sigma | M | mean | se | pasts | predicted |
| --- | --- | --- | --- | --- | --- | --- |
| bp300-6000_s1 | 1 | 512 | 0.9341 | 0.0034 | 1272 | 0.9513 |
| bp300-6000_s16 | 16 | 512 | 2.5516 | 0.0074 | 1272 | 2.5680 |
| bp300-6000_s2 | 2 | 512 | 1.3133 | 0.0032 | 1272 | 1.3319 |
| bp300-6000_s32 | 32 | 512 | 2.9828 | 0.0178 | 1272 | 2.9938 |
| bp300-6000_s4 | 4 | 512 | 1.7271 | 0.0042 | 1272 | 1.7342 |
| bp300-6000_s8 | 8 | 512 | 2.1303 | 0.0053 | 1272 | 2.1476 |
| lp3000_s1 | 1 | 512 | 0.4794 | 0.0066 | 1272 | 0.6166 |
| lp3000_s16 | 16 | 512 | 1.4449 | 0.0059 | 1272 | 1.4888 |
| lp3000_s2 | 2 | 512 | 0.7579 | 0.0075 | 1272 | 0.8251 |
| lp3000_s32 | 32 | 512 | 1.6668 | 0.0059 | 1272 | 1.7179 |
| lp3000_s4 | 4 | 512 | 0.9921 | 0.0053 | 1272 | 1.0415 |
| lp3000_s8 | 8 | 512 | 1.2089 | 0.0059 | 1272 | 1.2632 |
| ma8_s1 | 1 | 512 | 0.4811 | 0.0059 | 1272 | 0.6100 |
| ma8_s16 | 16 | 512 | 3.1736 | 0.0067 | 1272 | 3.1777 |
| ma8_s2 | 2 | 512 | 0.9745 | 0.0027 | 1272 | 0.9825 |
| ma8_s32 | 32 | 512 | 4.0886 | 0.0068 | 1272 | 4.1125 |
| ma8_s4 | 4 | 512 | 1.5558 | 0.0029 | 1272 | 1.5529 |
| ma8_s8 | 8 | 512 | 2.3101 | 0.0051 | 1272 | 2.3064 |
| none_s1 | 1 | 512 | 2.1060 | 0.0019 | 1272 | 2.1048 |
| none_s16 | 16 | 512 | 6.0195 | 0.0161 | 1272 | 6.0473 |
| none_s2 | 2 | 512 | 3.0642 | 0.0032 | 1272 | 3.0620 |
| none_s32 | 32 | 512 | 7.0474 | 0.0291 | 1272 | 7.0472 |
| none_s4 | 4 | 512 | 4.0426 | 0.0041 | 1272 | 4.0508 |
| none_s8 | 8 | 512 | 5.0458 | 0.0078 | 1272 | 5.0480 |

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