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Symphony: Symmetry-Equivariant Point-Centered Spherical Harmonics for 3D Molecule Generation

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arxiv 2311.16199 v3 pith:T5OXBLNA submitted 2023-11-27 cs.LG q-bio.BM

Symphony: Symmetry-Equivariant Point-Centered Spherical Harmonics for 3D Molecule Generation

classification cs.LG q-bio.BM
keywords moleculessymphonyautoregressivemodelsequivariantexistingfeaturesmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present Symphony, an $E(3)$-equivariant autoregressive generative model for 3D molecular geometries that iteratively builds a molecule from molecular fragments. Existing autoregressive models such as G-SchNet and G-SphereNet for molecules utilize rotationally invariant features to respect the 3D symmetries of molecules. In contrast, Symphony uses message-passing with higher-degree $E(3)$-equivariant features. This allows a novel representation of probability distributions via spherical harmonic signals to efficiently model the 3D geometry of molecules. We show that Symphony is able to accurately generate small molecules from the QM9 dataset, outperforming existing autoregressive models and approaching the performance of diffusion models.

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Cited by 3 Pith papers

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

  1. AtomComposer: Discovering Chemical Space from First Principles with Reinforcement Learning

    cs.LG 2026-05 unverdicted novelty 8.0

    AtomComposer uses online RL with multi-composition training to discover up to 10x more valid 3D isomers on unseen chemical formulas than single-composition baselines.

  2. Bridging Atomistic Simulation and Experimental Processing Timescales with Goal-Directed Deep Reinforcement Learning

    cond-mat.mtrl-sci 2026-05 unverdicted novelty 7.0

    An E(3)-equivariant deep RL framework lets an O2 agent discover kinetically plausible diffusion and dissociation pathways in disordered Si/a-SiO2 without hand-crafted reaction coordinates or collective variables.

  3. Atomic Design Transformer: Scaffold-Conditioned 3D Molecule Generation via xTB-Reward Reinforcement Learning

    physics.comp-ph 2026-07 conditional novelty 6.0

    A plain causal transformer that tokenizes atom positions in local frames generates 3D molecules directly; RL against an xTB relaxation reward lifts topology-preserving valid yield from ~50% to ~95%.