Insertion-Deletion Transformer
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Abstract (arXiv)
We propose the Insertion-Deletion Transformer, a novel transformer-based neural architecture and training method for sequence generation. The model consists of two phases that are executed iteratively, 1) an insertion phase and 2) a deletion phase. The insertion phase parameterizes a distribution of insertions on the current output hypothesis, while the deletion phase parameterizes a distribution of deletions over the current output hypothesis. The training method is a principled and simple algorithm, where the deletion model obtains its signal directly on-policy from the insertion model output. We demonstrate the effectiveness of our Insertion-Deletion Transformer on synthetic translation tasks, obtaining significant BLEU score improvement over an insertion-only model.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Jan 2020.
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Citing papers per year: 2021: 4; 2022: 0; 2023: 0; 2024: 0; 2025: 2; 2026: 3.
9 papers.
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
- 2021Unleashing Transformers: Parallel Token Prediction with Discrete Absorbing Diffusion for Fast High-Resolution Image Generation from Vector-Quantized Codescited by 71
- 2021Beyond In-Place Corruption: Insertion and Deletion In Denoising Probabilistic Modelscited by 23
- 2021Discovering Non-monotonic Autoregressive Orderings with Variational Inferencecited by 15
- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertionscited by 11
- 2026From Static Inference to Dynamic Interaction: A Survey of Streaming Large Language Modelscited by 3
- 2026Generative Molecular Morphing for Flexible-Size Design via Unbalanced Optimal Transportcited by 2
- 2025Foundations of Diffusion Models in General State Spaces: A Self-Contained Introductioncited by 1
- 2026A Continuous-Time Markov Chain Framework for Insertion Language Modelscited by 0
- 2026A Continuous-Time Markov Chain Framework for Insertion Language Models8 Jun 2026
- 2026Generative Molecular Morphing for Flexible-Size Design via Unbalanced Optimal Transport5 Jun 2026
- 2026From Static Inference to Dynamic Interaction: A Survey of Streaming Large Language Models4 Mar 2026
- 2025Foundations of Diffusion Models in General State Spaces: A Self-Contained Introduction4 Dec 2025
- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertions9 May 2025
- 2021Unleashing Transformers: Parallel Token Prediction with Discrete Absorbing Diffusion for Fast High-Resolution Image Generation from Vector-Quantized Codes24 Nov 2021
- 2021Discovering Non-monotonic Autoregressive Orderings with Variational Inference27 Oct 2021
- 2021Beyond In-Place Corruption: Insertion and Deletion In Denoising Probabilistic Models16 Jul 2021
- 2021Structured Denoising Diffusion Models in Discrete State-Spaces7 Jul 2021