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Soft-Unification in Deep Probabilistic Logic

NeurIPS 2023 · Probabilistic and scientific modeling › Molecules and proteins · approach: Probabilistic embeddings and relational inference · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace probabilistic semantics with fuzzy Gödel t-norm (ablation)DeepSoftLog · Countries S2AUC-PR: 97.67 ± 0.98 -> 23.73 ± 4.08Hurt
replace the hypersphere exp-angle soft-unification with a Gaussian kernel (ablation)DeepSoftLog · Countries S2AUC-PR: 97.67 ± 0.98 -> 28.33 ± 3.64Hurt
use DeepSoftLog instead of NTP (probabilistic semantics, same templates)NTP · Countries S3AUC-PR: 56.68 ± 17.6 -> 97.90 ± 1.00Helped
use DeepSoftLog instead of NTPNTP · Countries S2AUC-PR: 87.40 ± 11.7 -> 97.67 ± 0.98Helped
use DeepSoftLog instead of Greedy NTPGNTP · Countries S2AUC-PR: 90.82 ± 0.88 -> 97.67 ± 0.98Helped
use DeepSoftLog instead of Greedy NTPGNTP · Countries S3AUC-PR: 87.70 ± 4.79 -> 97.90 ± 1.00Helped
use DeepSoftLog instead of Greedy NTPGNTP · Countries S1AUC-PR: 99.98 ± 0.05 -> 100.0 ± 0.00No clear effect
use DeepSoftLog instead of A-NeSIA-NeSI · MNIST-addition 15 digitsaccuracy: 75.9 ± 2.2 -> 77.1 ± 1.6Helped
use DeepSoftLog instead of A-NeSIA-NeSI · MNIST-addition 1 digitaccuracy: 97.7 ± 0.2 -> 98.4 ± 0.1Helped
use DeepSoftLog instead of Embed2SymEmbed2Sym · MNIST-addition 15 digitsaccuracy: 60.5 ± 20.4 -> 77.1 ± 1.6Helped
use DeepSoftLog instead of DeepStochLogDeepStochLog · MNIST-addition 4 digitsaccuracy: 92.7 ± 0.6 -> 93.5 ± 0.6Helped
increase digits to 100 with linear-scaling embedding encodingDeepSoftLog · MNIST-addition 100 digitsaccuracy: 25.6 ± 3.4Helped

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