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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Discrete Flows: Invertible Generative Models of Discrete Data

NeurIPS 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Normalizing flow training and design · 66 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add 1 autoregressive flowAutoregressive Base · Full-rank discrete distributionsnegative log-likelihood (nats): 7.7 -> 7.6; 10.7 -> 10.3; 15.9 -> 15.7Helped
Add 4 bipartite flowsFactorized Base · Full-rank discrete distributionsnegative log-likelihood (nats): 8.0 -> 7.9; 11.5 -> 10.7; 16.6 -> 16.0Helped
Add 1 autoregressive flowAutoregressive Base · Potts modelsnegative log-likelihood (nats): 9.27 -> 9.124; 16.66 -> 11.23; 11.64 -> 10.45; 13.58 -> 10.25Helped
Add 1 autoregressive flowAutoregressive Base · Potts model (3 states, D=9, J=0.5)negative log-likelihood (nats): 3.79 -> 3.79No clear effect
Add an autoregressive flowAutoregressive Base · Addition (D=10)negative log-likelihood (nats): 4.0 -> 0.2Helped
Add an autoregressive flowAutoregressive Base · Addition (D=20)negative log-likelihood (nats): 12.2 -> 4.8Helped
Increase bipartite flow depth from 1 to 4 (ablation)Bipartite Flow · Addition (D=10)negative log-likelihood (nats): 4.0 -> 2.58Helped
Increase bipartite flow depth from 1 to 8 (ablation)Bipartite Flow · Addition (D=20)negative log-likelihood (nats): 12.2 -> 5.08Helped
Use bipartite flows instead of an autoregressive LSTMCharacter-level language model · Penn Tree Bank character-level testtest NLL (bpc): 1.18$^3$ -> 1.38Mixed
Use bipartite flows for parallel generationCharacter-level language model · Penn Tree Bank character-level generation (288-token sequence)generation time: 3.8 min -> 0.17 secHelped
Increase the number of bipartite flows (ablation)text8 character-level model · text8 testbits per characterHelped
Use a flexible scale transformation instead of fixing sigma=1 (ablation)text8 character-level Bipartite Flow · text8 testbits per characterHelped

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