Learning Symbolic Representations Through Joint GEnerative and DIscriminative Training
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Abstract (arXiv)
We introduce GEDI, a Bayesian framework that combines existing self-supervised learning objectives with likelihood-based generative models. This framework leverages the benefits of both GEnerative and DIscriminative approaches, resulting in improved symbolic representations over standalone solutions. Additionally, GEDI can be easily integrated and trained jointly with existing neuro-symbolic frameworks without the need for additional supervision or costly pre-training steps. We demonstrate through experiments on real-world data, including SVHN, CIFAR10, and CIFAR100, that GEDI outperforms existing self-supervised learning strategies in terms of clustering performance by a significant margin. The symbolic component further allows it to leverage knowledge in the form of logical constraints to improve performance in the small data regime.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 25 of its 33 references that are in the map. First posted on arXiv 22 Apr 2023.
Builds on
25 of 33 references.
References · 25
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13 more
- 2017A Semantic Loss Function for Deep Learning with Symbolic Knowledgecited by 267
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Built on by
Citing papers per year: 2023: 2; 2024: 4; 2025: 1; 2026: 1.
8 papers.
- 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcutscited by 36
- 2024A Neuro-Symbolic Benchmark Suite for Concept Quality and Reasoning Shortcutscited by 19
- 2025Shortcuts and Identifiability in Concept-based Models from a Neuro-Symbolic Lenscited by 13
- 2024Collapse-Proof Non-Contrastive Self-Supervised Learningcited by 7
- 2023The Triad of Failure Modes and a Possible Way Outcited by 3
- 2023Unifying Self-Supervised Clustering and Energy-Based Modelscited by 2
- 2026Differentiable Rule Induction from Raw Sequence Inputscited by 2
- 2024Bridging the Gap: Representation Spaces in Neuro-Symbolic AIcited by 0
- 2026Differentiable Rule Induction from Raw Sequence Inputs14 Feb 2026
- 2025Shortcuts and Identifiability in Concept-based Models from a Neuro-Symbolic Lens16 Feb 2025
- 2024Bridging the Gap: Representation Spaces in Neuro-Symbolic AI7 Nov 2024
- 2024Collapse-Proof Non-Contrastive Self-Supervised Learning7 Oct 2024
- 2024A Neuro-Symbolic Benchmark Suite for Concept Quality and Reasoning Shortcuts14 Jun 2024
- 2024BEARS Make Neuro-Symbolic Models Aware of their Reasoning Shortcuts19 Feb 2024
- 2023Unifying Self-Supervised Clustering and Energy-Based Models30 Dec 2023
- 2023The Triad of Failure Modes and a Possible Way Out27 Sep 2023