Com-Eff RLVR
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Research hub

Communication-efficient RLVR, tracked from weekly update to verdict.

Curated reports for the two-circuit GRPO work: current weekly status first, then the evidence chain behind anchor projection, dataset transfer, and stability at longer coordination intervals.

Most important tab

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.

One-page rollup

Run Summary

The minimum context needed to understand where the reports came from.

M4 spine

Dense trajectory and scorecard substrate

EXP-43, EXP-44, EXP-45, and EXP-58 establish the fp32/bf16 weight trajectories, sweep engine, scorecard contract, and R2-verified checkpoint collection.

GSM8K

Projection helps when updates are coherent

EXP-47 finds fixed damped-linear projection at ratio 0.9396 with h_safe around 30 global steps; EXP-49 adaptive gains are real but sub-threshold.

Big-Math

Projection is dataset-specific

EXP-60 and EXP-61 show consecutive update cosine near 0.15, so operational projection collapses to hold-stale except at the freshest anchor.

Date Name Takeaway
2026-07-08 Signed-EMA α,β sweep Moderate correction + fresh anchor is stable at 20/20; only the stalest anchor (β=0.90) collapses.
2026-07-06 Weekly update Coherence-gated projection is the current design direction.
2026-07-05 Math-only ablation Fresh-anchor projection clears about 1%; operational Math remains do-nothing-optimal.
2026-07-04 MOAT projector verdict GSM8K win does not generalize; no universal projector default.
2026-07-03 Rank-1 trajectory analysis Rank-1 state is useful for long-range position, not short-range displacement prediction.

Older report set

Prior Findings Kept as Summary

These findings matter, but the duplicated full pages were removed from the publishing repo.

2026-06-18 ANCHOR DELAY

K=5 works; K=20 stale-gradient anchoring collapses

The same signed EMA merger is near the dense ceiling at K=5, but falls below the no-merger floor by step 100 at K=20. The diagnosis is stale/off-policy anchor gradients, with cadence as a secondary contributor.

2026-06-18 MISMATCH

Compression-induced train-inference mismatch is separate

The compressed trainer and rollout engine disagree too strongly for plain truncated importance sampling to cleanly absorb; this remains a separate correction path from anchor staleness.