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DeepProbLog: Neural Probabilistic Logic Programming

NeurIPS 2018 · Large language models › Agents, code and math · approach: LLM-guided program synthesis · 111 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use symbolic addition rules with a neural digit predicate instead of a CNN that classifies concatenated image pairsMNIST single-digit addition (T1) · MNIST additionF1 scoreHelped
Use symbolic rules to compose digit predictions for multi-digit additionMNIST multi-digit addition (T2) · Three-digit addition after training on single-digit numbersaccuracyHelped
Use shared convolutional parameters to process each image separately in the CNN baselineMNIST single-digit addition (T1) · MNIST additionaccuracyHelped
Use DeepProbLog's program sketch rather than Differentiable ForthSorting (T4) · Test length 8, training length 4accuracy: 49.22 -> 100.0Helped
Use DeepProbLog's program sketch rather than Differentiable ForthSorting (T4) · Test length 64, training length 4accuracy: 20.65 -> 100.0Helped
Use DeepProbLog rather than Differentiable ForthSorting (T4) · Training length 4, test length 8time to 100% test accuracy: DeepProbLog reaches 100% at training length 4 in 32 s; Differentiable Forth reports --Helped
Train DeepProbLog on single-digit numbers and apply its reusable digit predicate to multi-digit inputsMNIST addition (T2) · Three-digit numbersaccuracyMixed

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