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SE(3)-Stochastic Flow Matching for Protein Backbone Generation

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arxiv 2310.02391 v4 pith:N446N3OY submitted 2023-10-03 cs.LG cs.AI

classification cs.LGcs.AI
keywords proteintextfoldflowgenerativeinvariantmodelingmodelsnovel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The computational design of novel protein structures has the potential to impact numerous scientific disciplines greatly. Toward this goal, we introduce FoldFlow, a series of novel generative models of increasing modeling power based on the flow-matching paradigm over $3\mathrm{D}$ rigid motions -- i.e. the group $\text{SE}(3)$ -- enabling accurate modeling of protein backbones. We first introduce FoldFlow-Base, a simulation-free approach to learning deterministic continuous-time dynamics and matching invariant target distributions on $\text{SE}(3)$. We next accelerate training by incorporating Riemannian optimal transport to create FoldFlow-OT, leading to the construction of both more simple and stable flows. Finally, we design FoldFlow-SFM, coupling both Riemannian OT and simulation-free training to learn stochastic continuous-time dynamics over $\text{SE}(3)$. Our family of FoldFlow, generative models offers several key advantages over previous approaches to the generative modeling of proteins: they are more stable and faster to train than diffusion-based approaches, and our models enjoy the ability to map any invariant source distribution to any invariant target distribution over $\text{SE}(3)$. Empirically, we validate FoldFlow, on protein backbone generation of up to $300$ amino acids leading to high-quality designable, diverse, and novel samples.

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Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectral Diffusion for Protein Dynamics

    q-bio.BM 2026-07 conditional novelty 6.5 of 10

    Diffusion over DCT spectral volumes of Cα displacements yields fast, temperature-conditioned protein trajectories with RMSF Pearson r of 0.844 on held-out mdCATH.

  2. GraspMeanFlow: SE(3)-Equivariant MeanFlow for Few-Step 6-DoF Grasp Generation

    cs.RO 2026-08 conditional novelty 6.0 of 10

    An SE(3)-equivariant average-velocity flow generates 6-DoF grasps in one or a few function evaluations, matching iterative flow baselines on ACRONYM.

  3. Exploring the Alignment of Generation and Understanding in Protein Structure Modeling

    cs.CE 2026-07 conditional novelty 6.0 of 10

    Aligning a protein diffusion generator's internal representations to a pretrained structure encoder (ProteinMPNN) raises the MotifBench motif-scaffolding score from 39.2 to 47.1 (~20% relative) over the Protpardelle-1...

  4. Design-CP: Context Parallelism for Design of Protein Nanoparticles

    cs.LG 2026-07 conditional novelty 6.0 of 10

    Context-parallel inference for RFdiffusion 3 enables end-to-end all-atom design of large symmetric protein nanoparticles on multi-GPU hardware without retraining.

  5. Native Extrapolation Awareness in Flow-Based Conditional Generation

    cs.LG 2026-02 conditional novelty 6.0 of 10

    A contrastive flow-matching objective makes off-manifold conditions produce curved trajectories, so path curvature (the DOT score) separates invalid from valid inputs.

  6. Platonic Transformers: A Solid Choice For Equivariance

    cs.CV 2025-10 conditional novelty 6.0 of 10

    Platonic Transformers achieve exact equivariance to translations plus discrete Platonic-solid rotations by lifting features into multiple reference frames and sharing one RoPE attention across them, with a linear-time...

  7. Train-Once Plan-Anywhere Kinodynamic Motion Planning via Diffusion Trees

    cs.LG 2025-08 conditional novelty 6.0 of 10

    A flow-matching policy guides RRT tree expansion, preserving completeness while raising success rates on out-of-distribution kinodynamic planning tasks.

  8. Learning on the Manifold: Unlocking Standard Diffusion Transformers with Representation Encoders

    cs.LG 2026-02 conditional novelty 5.0 of 10

    Training flow matching along sphere geodesics with a curvature-aware loss weight lets standard DiT-B converge on DINOv2 features (FID 3.37 with guidance), contradicting the need for width scaling.

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