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UniMate: A Unified Model for Mechanical Metamaterial Generation, Property Prediction, and Condition Confirmation

ICML 2025 · Image generation › Autoregressive and latent generation · approach: Equivariant diffusion for 3D molecules · 1 citations (OpenAlex)

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Proposes UniMate, a unified discrete-latent tokenizer plus partially frozen diffusion model that handles mechanical metamaterial topology generation, property prediction, and density condition confirmation, with a new benchmark.

Problem

Mechanical metamaterial design involves three modalities (3D topology, relative density, mechanical property), but existing ML models handle only two of them at a time, and no benchmark covers all tasks jointly.

Approach

Encode each modality into a shared discrete codebook latent space, align the modalities with a tripartite Sinkhorn optimal transport loss, and then run a score-based diffusion transformer over the latent tokens with known-token freezing so any subset of modalities can be given as context and the rest generated.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use UniMate instead of the strongest baseline for topology generationMechanical metamaterial topology generation · Mechanical metamaterial topology generationF_qua: 16.94 -> 2.74Helped
Use UniMate instead of the strongest baseline for topology generationMechanical metamaterial topology generation · Mechanical metamaterial topology generationF_cond: 32.71 -> 7.81Helped
Use UniMate instead of the strongest baseline for property predictionMechanical metamaterial property prediction · Mechanical metamaterial property predictionNRMSE_pp: 2.57 -> 2.44Helped
Use UniMate instead of the strongest baseline for condition confirmationMechanical metamaterial condition confirmation · Mechanical metamaterial condition confirmationNRMSE_cc: 8.89 -> 4.43Helped
Add latent-space unification rather than generating directly in raw MTR space (ablation)UniMate topology generation · Mechanical metamaterial topology generationF_qua: 0.0531 -> 0.0274Helped
Add latent-space unification rather than generating directly in raw MTR space (ablation)UniMate topology generation · Mechanical metamaterial topology generationF_cond: 0.1136 -> 0.0781Helped
Add TOT alignment (ablation)UniMate latent-space generation · Mechanical metamaterial topology generationF_qua: 0.0295 -> 0.0274Helped
Add TOT alignment (ablation)UniMate latent-space generation · Mechanical metamaterial property predictionNRMSE_pp: 0.0263 -> 0.0244Helped
Add partially frozen diffusion instead of vanilla diffusion (ablation)UniMate generation · Mechanical metamaterial topology generationF_qua: 0.0405 -> 0.0274Helped
Add partially frozen diffusion instead of vanilla diffusion (ablation)UniMate generation · Mechanical metamaterial property predictionNRMSE_pp: 0.0322 -> 0.0244Helped

Surprising findings

Limitations

Experimental setup

Datasets: dataset from prior work with 17087 topologies (500 selected)

Benchmarks: UniMate metamaterial benchmark

Metrics: F_qua F_cond NRMSE_pp NRMSE_cc

Baselines: CDVAE SyMat Equiformer ViSNet UniTruss MACE-ve

Builds on: VQ-VAE Sinkhorn algorithm score-based diffusion CDVAE uniTruss

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