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A Novel Diffusion Model for Pairwise Geoscience Data Generation with Unbalanced Training Dataset

AAAI 2025 · Image generation › Autoregressive and latent generation · approach: Synthetic training data from generators · 4 citations (OpenAlex)

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Proposes UB-Diff, a diffusion model with a one-in-two-out encoder-decoder that builds a co-latent space so paired seismic waveform and velocity map data can be generated from unbalanced training data.

Problem

Generating paired multi-modal scientific data (seismic waveforms and velocity maps) when one modality is abundant and the paired counterpart is scarce, a setting existing multi-modal diffusion methods that require fully paired data do not handle.

Approach

A one-in-two-out encoder-decoder maps the abundant modality (velocity maps) into a shared co-latent space with two decoders (transformer for seismic, CNN for velocity); a two-step training scheme first trains on all velocity maps self-supervised, then fine-tunes on the few paired samples, and a latent diffusion model is trained on the abundant modality's latents to generate pairs.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use UB-Diff instead of MT-Diff for paired generation with All Vel + 1k Seispaired velocity and seismic generation · FlatVel-AFID: 336.5417 -> 16.4475 (velocity); 318.2893 -> 97.0339 (seismic)Helped
Use UB-Diff instead of MT-Diff for paired generation with All Vel + 1k Seispaired velocity and seismic generation · CurveVel-AFID: 485.0098 -> 103.2765 (velocity); 214.9118 -> 18.9828 (seismic)Helped
Use UB-Diff instead of MT-Diff for paired generation with All Vel + 1k Seispaired velocity and seismic generation · FlatFault-AFID: 32.2887 -> 16.5089 (velocity); 53.2955 -> 26.8663 (seismic)Helped
Use UB-Diff instead of MT-Diff for paired generation with All Vel + 1k Seispaired velocity and seismic generation · CurveFault-AFID: 87.8209 -> 14.5018 (velocity); 206.0490 -> 98.9439 (seismic)Helped
Use UB-Diff instead of MT-Diff for paired generation with All Vel + 1k Seispaired velocity and seismic generation · Style-AFID: 11.8603 -> 0.5452 (velocity); 3221.2707 -> 91.2248 (seismic)Mixed
Add the two-step training optimization (ablation)UB-Diff paired generation · OpenFWI, All Vel + 1k SeisFID: 339.6236 -> 16.4475 (FlatVel-A velocity); 449.9948 -> 103.2765 (CurveVel-A velocity); 27.3071 -> 16.5089 (FlatFault-A veHelped
Add the two-step training optimization (ablation)UB-Diff paired generation · OpenFWI, All Vel + 1k SeisFID: 158.7187 -> 97.0339 (FlatVel-A seismic); 174.1814 -> 18.9828 (CurveVel-A seismic); 30.7746 -> 26.8663 (FlatFault-A seismMixed
Add the two-step training optimization (ablation)UB-Diff paired generation · OpenFWI, All Vel + 5k SeisFID: 63.2182 -> 15.6393 (FlatVel-A velocity); 222.7844 -> 65.5289 (CurveVel-A velocity); 21.8450 -> 21.4411 (FlatFault-A veloMixed
Add the two-step training optimization (ablation)UB-Diff paired generation · OpenFWI, All Vel + 5k SeisFID: 96.7443 -> 9.2542 (FlatVel-A seismic); 9.7614 -> 8.7620 (CurveVel-A seismic); 14.8987 -> 14.8630 (FlatFault-A seismic); Mixed
Freeze rather than unfreeze the encoder and majority decoder in the second training step (ablation)UB-Diff encoder-decoder training · OpenFWI datasets, 1k and 5k paired seismicdecoder reconstruction performanceMixed
Use UB-Diff instead of SD for single-task velocity generationvelocity map generation · FlatVel-AFID: 20.3334 -> 16.4475 (UB-Diff-1k); 20.3334 -> 15.6393 (UB-Diff-5k)Helped
Use UB-Diff instead of SD for single-task seismic generationseismic waveform generation · FlatFault-A, 1k and 5k Seis + all VelFID: 19.8758 -> 26.3492 (1k); 9.6232 -> 14.8630 (5k)Hurt

Surprising findings

Limitations

Experimental setup

Datasets: OpenFWI FlatVel-A OpenFWI CurveVel-A OpenFWI FlatFault-A OpenFWI CurveFault-A OpenFWI Style-A

Benchmarks: OpenFWI FlatVel-A OpenFWI CurveVel-A OpenFWI FlatFault-A OpenFWI CurveFault-A OpenFWI Style-A

Metrics: FID MAE MSE SSIM

Baselines: MT-Diffusion DDPM Stable Diffusion InversionNet

Builds on: DDPM Latent Diffusion Models MT-Diffusion InversionNet

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