Decoding-based Regression
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Abstract (arXiv)
Language models have recently been shown capable of performing regression wherein numeric predictions are represented as decoded strings. In this work, we provide theoretical grounds for this capability and furthermore investigate the utility of causal sequence decoding models as numeric regression heads given any feature representation. We find that, despite being trained in the usual way - for next-token prediction via cross-entropy loss - decoder-based heads are as performant as standard pointwise heads when benchmarked over standard regression tasks, while being flexible enough to capture smooth numeric distributions, such as in the task of density estimation.
Key facts. Cited by 12 papers in the map (data through 14 Oct 2026). Builds on 25 of its 48 references that are in the map. First posted on arXiv 31 Jan 2025.
Builds on
25 of 48 references.
References · 25
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13 more
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Citing papers per year: 2025: 7; 2026: 5.
12 papers.
- 2025Regression Language Models for Codecited by 11
- 2026The Hot Mess of AI: How Does Misalignment Scale With Model Intelligence and Task Complexity?cited by 10
- 2025Always Tell Me The Odds: Fine-grained Conditional Probability Estimationcited by 9
- 2025Towards Universal Offline Black-Box Optimization via Learning Language Model Embeddingscited by 7
- 2025Meta-Statistical Learning: Supervised Learning of Statistical Estimatorscited by 3
- 2025Reasoning-Intensive Regressioncited by 2
- 2026RELISH: LLM REgression with a Latent Iterative State Headcited by 2
- 2025Beyond Token-level Supervision: Unlocking the Potential of Decoding-based Regression via Reinforcement Learningcited by 1
- 2025LASER: Language Model Regression for Semi-Structured Workflow Resource and Runtime Estimationcited by 0
- 2026FlowTool: Controlling Tool Parameter in Image Retouching via Flow Matchingcited by 0
- 2026Large Language Models are Approximate Survival Estimatorscited by 0
- 2026Revisiting Tabular Deep Regression: Objectives and the Limits of Global Early Stoppingcited by 0
- 2026Revisiting Tabular Deep Regression: Objectives and the Limits of Global Early Stopping9 Oct 2026
- 2026FlowTool: Controlling Tool Parameter in Image Retouching via Flow Matching28 Sep 2026
- 2026Large Language Models are Approximate Survival Estimators4 Aug 2026
- 2026RELISH: LLM REgression with a Latent Iterative State Head1 Apr 2026
- 2026The Hot Mess of AI: How Does Misalignment Scale With Model Intelligence and Task Complexity?30 Jan 2026
- 2025LASER: Language Model Regression for Semi-Structured Workflow Resource and Runtime Estimation8 Dec 2025
- 2025Beyond Token-level Supervision: Unlocking the Potential of Decoding-based Regression via Reinforcement Learning6 Dec 2025
- 2025Regression Language Models for Code30 Sep 2025
- 2025Reasoning-Intensive Regression29 Aug 2025
- 2025Towards Universal Offline Black-Box Optimization via Learning Language Model Embeddings8 Jun 2025
- 2025Always Tell Me The Odds: Fine-grained Conditional Probability Estimation2 May 2025
- 2025Meta-Statistical Learning: Supervised Learning of Statistical Estimators17 Feb 2025