Com-Eff RLVR
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Research hub

Communication-efficient RLVR

The two-circuit GRPO research hub — weekly status, curated reports, and the full run record.

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Weekly Update

The current readout for people who only have time for one page.

2026-07-06

Weight projection for two-circuit-network RLVR stability at longer K

The stale side can predict future weights well enough on the easier GSM8K trace, but the same projector collapses to do-nothing on harder Math traces. The practical answer is a coherence gate: project only when consecutive updates are aligned.

0.94GSM8K projection ratio; about 6% closer than hold-stale.
1.00Math projection ratio at operational staleness; do-nothing is optimal.
0.86 / 0.15Consecutive-update coherence: GSM8K aligned, Math near-orthogonal.
Method ladder chart showing damped first-order projection as the winning GSM8K method.
Latest update figure: first-order plus damping wins on GSM8K; curvature and blind extrapolation hurt.

Curated evidence

Essential Reports

Only the reports that carry the current decision chain are copied into this repo.

2026-07-08 ANALYSIS

Same Rank-1, Different Projectability - What Breaks from GSM8K to Big-Math

Decomposes the two tasks. The rank-1 spatial structure only dents (EVR₁ ~90-96% on both), but forward linear projectability collapses (op ratio 0.90 → 1.00). Reconciled by two timescales: the cumulative direction is stable on both, while raw per-step updates align only on GSM8K (0.86 vs 0.15). Rank-1 is necessary but not sufficient for projection.

2026-07-08 ANALYSIS

Rank-1 Trajectories on a Harder Task - Big-Math vs GSM8K

Re-runs the rank-1 analysis on Big-Math (EXP-58). Rank-1 structure replicates, but the single line's durability degrades on the harder task: ~6× more of the move lands off the line (25% vs 4.5%) and the direction rotates further over the run (|cos| 0.46 vs 0.64).

2026-07-08 VERDICT

Big-Math signed-EMA (α, β) sweep - how much correction, how fresh an anchor?

Seven communication-efficient runs varying the merger's correction weight α and anchor-memory β, plus a dense control. α=0.25 with a fresh anchor (β=0.00) is the stable winner; only the stalest anchor (β=0.90) collapses. Dense stays the ceiling.

2026-07-07 LIVE RESULT

Big-Math Training Reward - Does Weight Projection Help?

Live training on Big-Math: no compressed variant beats dense, and plain stale signed EMA every step (no projection) beats every projection variant. A GSM8K appendix shows the coherent-trajectory contrast that explains why.

2026-07-04 PASS

MOAT Projector Verdict - ANCHOR/FAST from GSM8K to Big-Math

Integration rollup for the projector lanes. Fixed damped-linear wins on GSM8K, but is not adopted as a universal default because Big-Math collapses to do-nothing.

2026-07-05 LIMITED

Math-only Projector Ablation

EXP-61 confirms the harder Math trace is only marginally projectable at the freshest anchor and do-nothing-optimal at operational staleness.

2026-07-03 ANALYSIS

Rank-1 Trajectory Family on the EXP-57 Trace

RELEX-style rank-1 structure replicates, but the paper form is the wrong objective for short-horizon staleness repair. Use rank-1 as position state, not blind extrapolation.

2026-07-04 LIVE PATH

LA-WARMUP-V2 - PP-GRPO at 20/20 Without Collapse

Live training result for communication-efficient pipeline-parallel GRPO at longer cadence, useful as the bridge from offline projection geometry to end-to-end stability.