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Research

2026

SMAGaussian

Stabilizing joint optimization with weight averaging and multi-resolution supervision for egocentric 3D Gaussian splatting

Hana L. Goshu, Tadesse G. Wakjira, Mostafa Fouda, Kin-Man Lam

SMAGaussian
Ground truth

Ground truthSMAGaussian

PSNR on EPIC-KITCHENS dynamic frames
+3.56 dB
PSNR on HOI4D dynamic frames
+2.07 dB
Additional learnable parameters
0
Training overhead, zero inference cost
< 4%

Abstract

3D Gaussian Splatting (3DGS) has emerged as a powerful explicit scene representation for real-time novel-view synthesis, and recent work has extended it to egocentric dynamic scene reconstruction. Existing methods jointly refine all Gaussian parameters in a final optimization stage, after estimating the static scene, object shape, and per-frame object poses from egocentric video. However, we observe that this stage often suffers from optimization instability: the optimizer oscillates within a flat basin of near-optimal solutions rather than converging to its centre, which degrades reconstruction fidelity on unseen views. Therefore, we propose SMAGaussian, a simple yet effective framework to improve the stability and quality of this joint refinement stage. SMAGaussian introduces two complementary modules with zero additional learnable parameters, namely, Stochastic Weight Averaged Gaussians (SWA-G) and Multi-Resolution Photometric Supervision (MRPS). SWA-G maintains a detached exponential moving average of all Gaussian parameters throughout optimization and replaces the final parameters with their temporal average at convergence. This approach exploits the explicit and fixed-structure nature of 3DGS, where parameter-space averaging remains particularly meaningful, whereas the effectiveness of weight averaging in implicit neural representations is less predictable due to parameter entanglement. In parallel, MRPS augments the conventional full-resolution photometric loss with an auxiliary L1 loss evaluated at two downsampled scales, providing complementary low-frequency gradient signals to the standard full-resolution photometric loss. SWA-G and MRPS operate along complementary axes: SWA-G stabilizes the optimization trajectory in parameter space, while MRPS reshapes the loss landscape through multi-scale supervision. Extensive experiments on the HOI4D and EPIC-KITCHENS benchmarks demonstrate that SMAGaussian achieves peak signal-to-noise ratio (PSNR) improvements of up to 2.07 dB and 3.56 dB, respectively, along with consistent gains in structural similarity index (SSIM) and learned perceptual image patch similarity (LPIPS). Ablation studies confirm that SWA-G provides the dominant improvement, while MRPS contributes a consistent additive refinement. Notably, all gains are achieved without additional learnable parameters, without increasing the Gaussian count, and without modifying the upstream pipeline, while incurring less than 4% training overhead and zero inference cost.

Method

SMAGaussian operates entirely within the final joint refinement stage, where object poses are frozen and only the Gaussian parameters are optimized. Both modules add no learnable parameters, keep the Gaussian count fixed, and add no inference cost.

  • SWA-G (Stochastic Weight Averaged Gaussians) keeps a detached exponential moving average of the Gaussian parameters after a warmup phase and swaps it into the final model at save time, placing the solution closer to the centre of the loss basin.
  • MRPS (Multi-Resolution Photometric Supervision) adds a hand-masked L1 photometric loss at reduced resolutions, with the mask applied before downsampling, supervising the low-frequency appearance that the full-resolution objective under-weights.
SMAGaussian architecture
The final joint refinement: scene reconstruction supplies background and object Gaussians with fixed poses, MRPS adds multi-resolution supervision, and the SWA-G shadow is swapped into the final model.

Results

Static and dynamic evaluation frames are reported separately.

Comparison on HOI4D.
MethodStatic SSIM ↑Static PSNR ↑Static LPIPS ↓Dynamic SSIM ↑Dynamic PSNR ↑Dynamic LPIPS ↓
4DGS0.8825.330.130.8925.340.13
4DGS w/o hands0.9428.690.080.9427.330.10
Def-3DGS0.9025.850.110.9025.710.12
Def-3DGS w/o hands0.9428.090.080.9426.920.10
EgoGaussian0.9630.990.080.9530.330.09
SMAGaussian0.9732.620.080.9632.400.09
Comparison on EPIC-KITCHENS.
MethodStatic SSIM ↑Static PSNR ↑Static LPIPS ↓Dynamic SSIM ↑Dynamic PSNR ↑Dynamic LPIPS ↓
4DGS0.8426.840.200.7922.540.24
4DGS w/o hands0.8728.900.160.8023.130.23
Def-3DGS0.8627.350.180.8123.150.22
Def-3DGS w/o hands0.8627.630.170.8223.270.21
EgoGaussian0.8528.330.190.8828.340.17
SMAGaussian0.8830.230.160.9031.900.14
Qualitative results on EPIC-KITCHENS
Novel-view reconstructions on EPIC-KITCHENS, compared with EgoGaussian and the ground truth.
Ablation error maps
Effect of each module on a dynamic frame. SWA-G suppresses the large concentrated error of the baseline, and MRPS reduces the remaining error further.

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