Revisiting Model Interpolation for Efficient Reasoning
On the map: LLM reasoning → Test-time compute and efficient thinking
Abstract (arXiv)
Model merging, typically on Instruct and Thinking models, has shown remarkable performance for efficient reasoning. In this paper, we systematically revisit the simplest merging method that interpolates two weights directly. Particularly, we observe that model interpolation follows a three-stage evolutionary paradigm with distinct behaviors on the reasoning trajectory. These dynamics provide a principled guide for navigating the performance-cost trade-off. Empirical results demonstrate that a strategically interpolated model surprisingly surpasses sophisticated model merging baselines on both efficiency and effectiveness. We further validate our findings with extensive ablation studies on model layers, modules, and decoding strategies. Ultimately, this work demystifies model interpolation and offers a practical framework for crafting models with precisely targeted reasoning capabilities. Code is available at hrefhttps://github.com/wutaiqiang/MIGithub.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 15 of its 27 references that are in the map. First posted on arXiv 13 Oct 2025.
Builds on
15 of 27 references.
Closest ancestors · 4
Same direction, newest first
- 2025AdaptThink: Reasoning Models Can Learn When to Think19 May
- 2025Unlocking Efficient Long-to-Short LLM Reasoning with Model Merging26 Mar
- 2025Sampling-Efficient Test-Time Scaling: Self-Estimating the Best-of-N Sampling in Early Decoding3 Mar
- 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
Other references · 11
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
- 2023Language Models are Super Mario: Absorbing Abilities from Homologous Models as a Free Lunchcited by 679
- 2025Chain of Draft: Thinking Faster by Writing Lesscited by 290
- 2024Model Merging in LLMs, MLLMs, and Beyond: Methods, Theories, Applications and Opportunitiescited by 247
- 2025Sketch-of-Thought: Efficient LLM Reasoning with Adaptive Cognitive-Inspired Sketchingcited by 116
- 2024Fast Best-of-N Decoding via Speculative Rejectioncited by 112
- 2023Soft Merging of Experts with Adaptive Routingcited by 88
- 2025Z1: Efficient Test-time Scaling with Codecited by 35
- 2024Towards Efficient Pareto Set Approximation via Mixture of Experts Based Model Fusioncited by 11
- 2025Timber: Training-free Instruct Model Refining with Base via Effective Rankcited by 2
- 2025Merge Now, Regret Later: The Hidden Cost of Model Merging Is Adversarial Transferabilitycited by 2
Built on by
Citing papers per year: 2025: 2; 2026: 8.
10 papers.
- 2025OckBench: Measuring the Efficiency of LLM Reasoningcited by 10
- 2026Behavior Knowledge Merge in Reinforced Agentic Modelscited by 10
- 2026The Art of Efficient Reasoning: Data, Reward, and Optimizationcited by 3
- 2026QA-Merging: Query-Adaptive Reasoning via Layer Selective Model Mergingcited by 1
- 2025AP-BMM: Approximating Capability-Cost Pareto Sets of LLMs via Asynchronous Prior-Guided Bayesian Model Mergingcited by 0
- 2026Can We Trust LLMs on Memristors? Diving into Reasoning Ability under Non-Idealitycited by 0
- 2026Graph-Based Chain-of-Thought Pruning for Reducing Redundant Reflections in Reasoning LLMscited by 0
- 2026GRIP: Granular Reward-Guided Parameter Interpolation for Efficient Reasoningcited by 0
- 2026MI-Distillation: Selecting from Model-Interpolated Instruct-Reasoning Data Spectrum for Chain-of-Thought Distillationcited by 0
- 2026Lightning Weave: Improving the Accuracy-Efficiency Frontier of Reasoning Models through Capability Compositioncited by 0
- 2026Lightning Weave: Improving the Accuracy-Efficiency Frontier of Reasoning Models through Capability Composition13 Sep 2026
- 2026MI-Distillation: Selecting from Model-Interpolated Instruct-Reasoning Data Spectrum for Chain-of-Thought Distillation30 Aug 2026
- 2026GRIP: Granular Reward-Guided Parameter Interpolation for Efficient Reasoning26 Aug 2026
- 2026Graph-Based Chain-of-Thought Pruning for Reducing Redundant Reflections in Reasoning LLMs7 Apr 2026
- 2026Can We Trust LLMs on Memristors? Diving into Reasoning Ability under Non-Ideality14 Mar 2026
- 2026The Art of Efficient Reasoning: Data, Reward, and Optimization24 Feb 2026
- 2026Behavior Knowledge Merge in Reinforced Agentic Models20 Jan 2026
- 2026QA-Merging: Query-Adaptive Reasoning via Layer Selective Model Merging7 Jan 2026
- 2025AP-BMM: Approximating Capability-Cost Pareto Sets of LLMs via Asynchronous Prior-Guided Bayesian Model Merging10 Dec 2025
- 2025OckBench: Measuring the Efficiency of LLM Reasoning7 Nov 2025
Similar, not cited
Close in wording, no citation either way
- 2026Multi-objective Evolutionary Merging Enables Efficient Reasoning Models
- 2025The Thinking Spectrum: An Empirical Study of Tunable Reasoning in LLMs through Model Merging
- 2026System 1&2 Synergy via Dynamic Model Interpolation
- 2025ThinkPilot: Steering Reasoning Models via Automated Think-prefixes Optimization
- 2025Reasoning Relay: Evaluating Stability and Interchangeability of Large Language Models in Mathematical Reasoning
- 2025Efficient Reasoning Models: A Survey
- 2025MixReasoning: Switching Modes to Think
- 2026Knowing When Thinking Is Not Enough: Teaching Small Reasoning Models to Reason Beyond Their Parametric Knowledge