01 · Cross-SNR result

Stable variance wins the noisy regime.

SVF removes NTF-v1's fixed 10 dB knee. Across calibrated synthetic noise it beats Vanilla 3DGS and NTF-v1 at every noisy level; on real Dark3R it overtakes NTF around 1/500, but the 1/800 case remains unsolved.

+3.36 dBSVF vs NTF at synthetic x4
+2.83 dBSVF vs Vanilla at synthetic x64
+1.37 dBSVF vs NTF at Dark3R 1/500
Working conclusion. SVF is the cleaner, more SNR-stable loss core. It fixes the threshold mismatch, but it does not by itself solve extreme real RAW noise or the representation artifact problem.
Protocol note. NTF/SVF use 2DGS-MCMC while the baseline is released Vanilla 3DGS. This comparison answers the practical baseline question, but a linear 2DGS control is still needed for strict loss-only attribution.
02 · Synthetic summary

Clean held-out views, four noise levels.

All runs use 30k iterations. SVF and NTF use manifest-calibrated noise coefficients; the corrected x64 pair replaces the older mismatched run.

NoiseVanilla 3DGSNTF-v1 2DGSSVF 2DGSSVF − VanillaSVF − NTF
x027.990 / .89521 / .2354229.373 / .93242 / .1228229.079 / .93289 / .12048+1.089 dB−0.294 dB
x428.269 / .89327 / .2385126.787 / .91506 / .1402430.145 / .93735 / .11172+1.877 dB+3.359 dB
x1627.712 / .88404 / .2407027.828 / .91373 / .1333130.068 / .92933 / .11427+2.356 dB+2.239 dB
x6426.110 / .83873 / .2566828.007 / .88195 / .1389228.942 / .89007 / .12061+2.831 dB+0.934 dB

Cells report PSNR ↑ / SSIM ↑ / LPIPS ↓. Synthetic display uses one fixed camera-to-sRGB transform; metrics remain camera-linear.

03 · Synthetic x0

Clean input: all noise-aware losses should fall back gracefully.

NTF has the highest PSNR by 0.29 dB, while SVF has slightly better SSIM and LPIPS. Both substantially outperform Vanilla 3DGS in this mixed-architecture comparison.

Synthetic x0 ground truth
Ground truthheld out
Synthetic x0 Vanilla 3DGS
Vanilla 3DGSbaseline
PSNR27.990
SSIM.89521
LPIPS.23542
Synthetic x0 NTF-v1 2DGS
NTF-v1 2DGSthresholded
PSNR29.373
SSIM.93242
LPIPS.12282
Synthetic x0 SVF 2DGS
SVF 2DGSthreshold-free
PSNR29.079
SSIM.93289
LPIPS.12048
04 · Synthetic x4

The largest SVF–NTF separation.

The fixed 10 dB NTF gate removes useful gradients even at moderate noise. SVF retains sharper facades, cars and tree structure and gains 3.36 dB over NTF.

Synthetic x4 ground truth
Ground truthheld out
Synthetic x4 Vanilla 3DGS
Vanilla 3DGSbaseline
PSNR28.269
SSIM.89327
LPIPS.23851
Synthetic x4 NTF-v1 2DGS
NTF-v1 2DGSthresholded
PSNR26.787
SSIM.91506
LPIPS.14024
Synthetic x4 SVF 2DGS
SVF 2DGSbest
PSNR30.145
SSIM.93735
LPIPS.11172
05 · Synthetic x16

SVF preserves high-frequency structure.

NTF begins to smear the roofline and expand the distant tree into a blob. SVF wins all three metrics and improves 2.36 dB over Vanilla.

Synthetic x16 ground truth
Ground truthheld out
Synthetic x16 Vanilla 3DGS
Vanilla 3DGSbaseline
PSNR27.712
SSIM.88404
LPIPS.24070
Synthetic x16 NTF-v1 2DGS
NTF-v1 2DGSthresholded
PSNR27.828
SSIM.91373
LPIPS.13331
Synthetic x16 SVF 2DGS
SVF 2DGSbest
PSNR30.068
SSIM.92933
LPIPS.11427
06 · Synthetic x64

Strong noise: SVF remains the best reconstruction.

With the corrected manifest calibration, SVF beats NTF by 0.93 dB and Vanilla by 2.83 dB. The tree is still imperfect, confirming that loss design alone does not eliminate the representation bottleneck.

Synthetic x64 ground truth
Ground truthheld out
Synthetic x64 Vanilla 3DGS
Vanilla 3DGSbaseline
PSNR26.110
SSIM.83873
LPIPS.25668
Synthetic x64 NTF-v1 2DGS
NTF-v1 2DGSthresholded
PSNR28.007
SSIM.88195
LPIPS.13892
Synthetic x64 SVF 2DGS
SVF 2DGSbest
PSNR28.942
SSIM.89007
LPIPS.12061
07 · Real RAW summary

Dark3R reveals the crossover—and the limit.

Metrics are recomputed from float renders after mapping prediction and target to the longest-exposure reference scale. Compare methods within a row; absolute PSNR remains dark-background dominated.

ExposureMean SNRVanilla 3DGSNTF-v1 2DGSSVF 2DGSReading
1/1255.292 dB46.003 / .97258 / .02608*47.161 / .98088 / .0220246.295 / .97745 / .02422NTF wins
1/3202.556 dB43.583 / .95555 / .0386144.743 / .96828 / .0382644.324 / .96816 / .03593near tie
1/5001.682 dB43.487 / .95135 / .0491443.218 / .95652 / .0534044.589 / .96648 / .04301SVF wins
1/8001.102 dB41.356 / .92991 / .0638539.336 / .89475 / .0973839.855 / .90630 / .11019Vanilla wins

PSNR ↑ / SSIM ↑ / LPIPS ↓. *The 1/125 Vanilla entry is recomputed from its existing 8-bit render proxy; other entries use float renders. All displayed images use one fixed display transform and do not affect metrics.

08 · Dark3R 1/125 · 5.292 dB

At the easier real exposure, NTF still leads.

The fixed gate is not yet catastrophic at this SNR. NTF wins all three unaligned metrics, while SVF stays between NTF and Vanilla.

Dark3R 1/125 ground truth
Ground truthreference
Dark3R 1/125 Vanilla 3DGS
Vanilla 3DGS8-bit proxy
PSNR46.003
SSIM.97258
LPIPS.02608
Dark3R 1/125 NTF-v1 2DGS
NTF-v1 2DGSbest
PSNR47.161
SSIM.98088
LPIPS.02202
Dark3R 1/125 SVF 2DGS
SVF 2DGSthreshold-free
PSNR46.295
SSIM.97745
LPIPS.02422
09 · Dark3R 1/320 · 2.556 dB

The methods converge near the crossover.

NTF has a 0.42 dB PSNR edge; SVF has slightly better LPIPS. Both improve upon Vanilla, suggesting noise-aware supervision remains useful.

Dark3R 1/320 ground truth
Ground truthreference
Dark3R 1/320 Vanilla 3DGS
Vanilla 3DGSbaseline
PSNR43.583
SSIM.95555
LPIPS.03861
Dark3R 1/320 NTF-v1 2DGS
NTF-v1 2DGSbest PSNR
PSNR44.743
SSIM.96828
LPIPS.03826
Dark3R 1/320 SVF 2DGS
SVF 2DGSbest LPIPS
PSNR44.324
SSIM.96816
LPIPS.03593
10 · Dark3R 1/500 · 1.682 dB

SVF clearly wins the hard-but-usable regime.

SVF improves 1.37 dB over NTF and 1.10 dB over Vanilla, with matching gains in SSIM and LPIPS. This is the strongest real-data support for threshold-free stabilization.

Dark3R 1/500 ground truth
Ground truthreference
Dark3R 1/500 Vanilla 3DGS
Vanilla 3DGSbaseline
PSNR43.487
SSIM.95135
LPIPS.04914
Dark3R 1/500 NTF-v1 2DGS
NTF-v1 2DGSthresholded
PSNR43.218
SSIM.95652
LPIPS.05340
Dark3R 1/500 SVF 2DGS
SVF 2DGSbest
PSNR44.589
SSIM.96648
LPIPS.04301
11 · Dark3R 1/800 · 1.102 dB

Extreme noise remains a failure case.

SVF is better than NTF in PSNR and SSIM, but worse in LPIPS—and Vanilla 3DGS is stronger overall. Keeping every stabilized residual is insufficient when observations are almost entirely unreliable.

Dark3R 1/800 ground truth
Ground truthreference
Dark3R 1/800 Vanilla 3DGS
Vanilla 3DGSbest overall
PSNR41.356
SSIM.92991
LPIPS.06385
Dark3R 1/800 NTF-v1 2DGS
NTF-v1 2DGSover-gated
PSNR39.336
SSIM.89475
LPIPS.09738
Dark3R 1/800 SVF 2DGS
SVF 2DGSmixed
PSNR39.855
SSIM.90630
LPIPS.11019
12 · Mechanism and next step

Keep variance stabilization; replace the hard gate with one soft reliability.

TSVF(x) = [√(a x + r²) − r] / [√(a + r²) − r]

No SNR threshold, no two-slope curve, no confidence exponent.

WHY IT WORKS

Continuous gradients

SVF rescales residuals according to the Poisson–Gaussian variance without deleting all observations below an arbitrary 10 dB operating point.

WHERE IT FAILS

No rejection at 1/800

At extreme noise, continuously retaining every observation can preserve noise or create smooth structured artifacts. SVF alone is not a complete robust estimator.

NEXT MINIMAL ABLATION

Threshold-free soft reliability

Test w(x)=SNR²/(1+SNR²) on top of SVF, then migrate the selected loss to Textured Gaussian refinement. Add a linear 2DGS control for strict attribution.

Paper-readiness limits. The synthetic assets still originate from 8-bit linear proxies; repeat the final sweep from float/14-bit RAW. Dark3R evidence is one Chapel scene, and the extreme 1/800 level still favors Vanilla 3DGS.
Expanded experiment image