Continuous CVAE Apr24 Reconstruction Stack: Results

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Note

This file is the observational results note for the completed collection. It records aggregate metrics, figures, and run-level facts; interpretive claims belong in analysis.

Collection State

The aggregate now includes all 234 planned jobs. The analysis scripts still tolerate missing runs by design: they read the available completed manifests and regenerate the same figure set from whatever subset is present.

The completed grid has 13 loss/schedule settings across 3 synthetic families and 3 adaptation modes, with 18 complete runs per setting.

Collection completeness by task, loss setting, and adaptation mode

Primary metric in this report is analysis/router_probe_times_strategy_match_rate, plotted in figure labels as matched strategy router score. This is the Apr24 analogue of the Apr22 "match-strategy router score": it multiplies router probe decodability by the fraction of generations matching the intended latent strategy.

Loss Setting Summary

The ranked summary below orders loss settings separately within each adaptation mode by mean matched strategy router score and overlays one point per task, so the figure shows both the within-row winners and how stable those rankings are across tasks. Normalized reconstruction variants occupy the top ten mean matched strategy router scores. The three raw ELBO baselines occupy the bottom three rows while retaining the highest final answer accuracy.

Loss settingComplete runsMatched strategy router scoreFinal answer accuracyRouter probeStrategy match ratePosterior probeBaseline-normalized reconstruction
dist_plus_tokcc_a0p5_b0p01_d50_lin50180.85320.95430.91450.93300.99800.0379
dist_plus_tokcc_a1_b0p01_d50_lin50180.84650.95460.90530.93550.99750.0356
dist_plus_tokcc_a0p5_b0p01_const180.84320.97650.87760.96240.99630.0354
three_way_equal_b0p01_d50_lin50180.84180.94840.90700.92760.99800.0406
example_inv_surp_b0p01_d50_lin50180.83190.93090.91280.90960.99800.0407
dist_norm_b0p01_d50_lin50180.81850.92950.90150.90750.99840.0331
raw_b1_lin100180.44320.99160.44850.98820.58171.0690
raw_b1_const180.44190.99130.44700.98840.60441.0718
raw_b1_d50_lin50180.43960.99140.44480.98790.72941.0712
Ranked matched strategy router score by loss setting and adaptation mode Loss-setting metric summary by adaptation mode

The lora panel below is the compact paper-candidate view: bars show mean strategy-match rate and router probe accuracy across tasks, and points show per-task values. The raw ELBO-style baselines have near-ceiling strategy-match rate but lower router probe accuracy.

Paper-style lora router decomposition bars by loss setting

Companion versions for full, reinit, and task-faceted panels are available in the local figures/ directory and in the repo-side aggregate figure directory.

Reconstruction-Family And Beta-Schedule Heatmaps

Matched strategy router score varies by reconstruction family and beta schedule. The top loss settings remain normalized variants across reconstruction families, while raw baselines are low in every observed raw-baseline schedule cell.

Matched strategy router score by family and schedule

Final answer accuracy shows the complementary pattern: raw baselines remain near ceiling, while normalized variants are lower and more family dependent.

Final answer accuracy by family and schedule

Paired Contrasts

The strongest positive paired mean contrast is token surprisal-share weighting with alpha=0.5 added to distribution normalization under the delayed-50 linear schedule. The next largest contrast is the delayed-50 schedule for the equal three-way combination relative to the corresponding constant-beta setting.

ContrastMean deltaMedian deltaPairs
tok_a0p5_minus_dist_d50+0.0347+0.033418
schedule_three_way_d50_minus_const+0.0331+0.044918
tok_a0p5_minus_dist_const+0.0283+0.012118
tok_a1_minus_dist_d50+0.0281+0.024518
three_way_minus_dist_d50+0.0233+0.008918
schedule_dist_tok_a1_d50_minus_const+0.0192+0.024518
alpha_a0p5_minus_a1_const+0.0158+0.008918
schedule_example_inv_surp_d50_minus_const+0.0153+0.029718
example_minus_dist_d50+0.0134+0.009218
tok_a1_minus_dist_const+0.0125-0.001318
Paired contrast ladder for matched strategy router score

Reconstruction Ratio Frontier

The normalized variants cluster at substantially lower baseline-normalized reconstruction loss than raw baselines. The raw baselines cluster around baseline-normalized reconstruction near 1.07 and matched strategy router score near 0.44.

Baseline-normalized reconstruction ratio versus matched strategy router score Baseline-normalized reconstruction ratio versus matched strategy router score with log-scaled x-axis

The companion views use the logged test reconstruction components directly on the x-axis rather than the final baseline-normalized reconstruction ratio. They show example inverse-surprisal reconstruction loss and normalized concentration-corrected token reconstruction loss, each with linear and log-x scaling.

Example inverse-surprisal reconstruction loss versus matched strategy router score Example inverse-surprisal reconstruction loss versus matched strategy router score with log-scaled x-axis Normalized concentration-corrected token reconstruction loss versus matched strategy router score Normalized concentration-corrected token reconstruction loss versus matched strategy router score with log-scaled x-axis

Adaptation Modes

Paired adaptation-mode deltas show that reinit is lower than full and lora on matched strategy router score and final answer accuracy, while the router probe alone is not consistently lower for reinit.

MetricContrastMean deltaMedian deltaPairs
Matched strategy router scorelora - full-0.0116+0.002178
Matched strategy router scorereinit - full-0.0967-0.072278
Matched strategy router scorereinit - lora-0.0852-0.041078
Final answer accuracylora - full+0.0069+0.003678
Final answer accuracyreinit - full-0.0823-0.017178
Final answer accuracyreinit - lora-0.0892-0.026278
Router probelora - full-0.0200-0.008078
Router probereinit - full+0.0029-0.003478
Router probereinit - lora+0.0228+0.009578
Adaptation-mode paired comparison

Dynamics And Objective Scale

Validation dynamics preserve the Apr22-style view with final answer accuracy, router probe, matched strategy router score, posterior probe, strategy match rate, reconstruction ratios, KL, and beta over training.

Validation dynamics by family and adaptation mode

The objective-component audit records the scale of each reconstruction component and KL term over training for the loss settings that expose those logged metrics.

Objective component scale audit

Top And Bottom Runs

The top six runs by matched strategy router score are all normalized variants. They include both full and lora adaptation, and two task families appear in the top five.

FamilyAdaptationLoss settingAccuracyRouter probeStrategy matchMatched scorePosterior probeRecon ratio
linear_equation_solvingloradist_norm_b0p01_d50_lin500.99700.94820.99680.94521.00000.0125
base_conversionloraexample_inv_surp_b0p01_const0.99870.94540.99820.94371.00000.0073
linear_equation_solvingfullthree_way_equal_b0p01_d50_lin500.99010.95540.98740.94341.00000.0324
base_conversionloradist_norm_b0p01_const0.99760.94580.99700.94301.00000.0104
base_conversionloraexample_inv_surp_b0p01_d50_lin500.99660.94470.99620.94111.00000.0196
list_summationfulldist_plus_tokcc_a0p5_b0p01_d50_lin500.96680.97480.96490.94060.99970.0177

The bottom six runs by matched strategy router score are all raw baselines.

FamilyAdaptationLoss settingAccuracyRouter probeStrategy matchMatched scorePosterior probeRecon ratio
base_conversionreinitraw_b1_const0.97330.39400.96880.38170.81371.3006
list_summationreinitraw_b1_d50_lin500.95410.40600.94810.38490.58761.0546
grid_pathfindingfullraw_b1_const0.99990.38620.99880.38570.56531.0520
list_summationreinitraw_b1_lin1000.96510.40200.96100.38630.38161.0055
base_conversionfullraw_b1_d50_lin500.99280.39290.99190.38971.00001.2373
base_conversionreinitraw_b1_lin1000.98080.40300.97430.39260.65371.2910
Top and bottom run cards with latent snapshots

Deep-Dive Result Notes

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