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Protein Discovery with Discrete Walk-Jump Sampling

ICLR 2024 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Hamiltonian Monte Carlo · 5 citations (OpenAlex)

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Proposes Discrete Walk-Jump Sampling, which trains an energy-based model on noise-smoothed one-hot antibody sequences, samples with Langevin MCMC, and denoises in one step, and introduces the distributional conformity score for evaluating protein generative models.

Problem

Training and sampling from discrete generative models is brittle for EBMs and diffusion models, and protein (antibody) discovery needs sample-efficient, non-autoregressive generators evaluated by more than sequence recovery.

Approach

Smooth discrete data with a single Gaussian noise level, train an EBM by contrastive divergence on noisy data, sample with Langevin MCMC ("walk") and project back to the data manifold with a separately trained one-step least-squares denoiser ("jump"); the decoupling lets every chain sample be valid.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use dWJS (energy-based) instead of clean-data EBM samplingantibody generation · in vitro antibody expressiontotal_expressed: 0.42 -> 0.97Helped
use dWJS (energy-based) instead of diffusion baselinesHER2 antibody design · HER2 binding, unique designstotal_bind: 0.25 -> 0.70; 0.22 (0.57) -> 0.70Helped
use dWJS (score-based) instead of SeqVDMpaired OAS antibody generation · paired OASDCS: 0.40 -> 0.49Helped
use dWJS (energy-based) instead of IgLMpaired OAS antibody generation · paired OASW_property: 0.08 -> 0.056Helped
use dWJS (energy-based) instead of IgLMpaired OAS antibody generation · paired OASDCS: 0.533 -> 0.38Hurt
set noise level σ to 0.1 instead of 0.5 (ablation)score-based dWJS · paired OAS antibody generationW_property: 0.065 -> 0.378Hurt
set noise level σ to 0.1 instead of 0.5 (ablation)score-based dWJS · paired OAS antibody generationE_dist: 62.7 -> 120.6*Mixed
set noise level σ to 3.0 instead of 0.5 (ablation)score-based dWJS · paired OAS antibody generationIntDiv: 65.1 -> 30.0Hurt
set noise level σ to 3.0 instead of 0.5 (ablation)score-based dWJS · paired OAS antibody generationW_property: 0.065 -> 0.130Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Observed Antibody Space (OAS) hu4D5 antibody mutant dataset (binder set)

Benchmarks: OAS antibody-likeness metrics hu4D5 HER2 binding classifier

Metrics: distributional conformity score W_property unique fraction edit distance internal diversity probability of binding expression rate binding rate

Baselines: SeqVDM DEEN IgLM ESM2 GPT 3.5 GPT 4 LaMBO-2 AbDiffuser BERT transformer EGNN EBM

Builds on: neural empirical Bayes walk-jump sampling contrastive divergence variational diffusion models DEEN

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