Scaling Speculative Decoding with Lookahead Reasoning
On the map: LLM reasoning → Test-time compute and efficient thinking
also in 1 more
Abstract (arXiv)
Reasoning models excel by generating long chain-of-thoughts, but decoding the resulting thousands of tokens is slow. Token-level speculative decoding (SD) helps, but its benefit is capped, because the chance that an entire γ-token guess is correct falls exponentially as γ grows. This means allocating more compute for longer token drafts faces an algorithmic ceiling -- making the speedup modest and hardware-agnostic. We raise this ceiling with Lookahead Reasoning, which exploits a second, step-level layer of parallelism. Our key insight is that reasoning models generate step-by-step, and each step needs only to be semantically correct, not exact token matching. In Lookahead Reasoning, a lightweight draft model proposes several future steps; the target model expands each proposal in one batched pass, and a verifier keeps semantically correct steps while letting the target regenerate any that fail. Token-level SD still operates within each reasoning step, so the two layers of parallelism multiply. We show Lookahead Reasoning lifts the peak speedup of SD both theoretically and empirically. Across GSM8K, AIME, and other benchmarks, Lookahead Reasoning improves the speedup of SD from 1.4x to 2.1x while preserving answer quality, and its speedup scales better with additional GPU throughput. Our code is available at https://github.com/hao-ai-lab/LookaheadReasoning
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 26 of its 32 references that are in the map. First posted on arXiv 24 Jun 2025.
Builds on
26 of 32 references.
Closest ancestors · 5
Same direction, newest first
- 2025Speculative Thinking: Enhancing Small-Model Reasoning with Large Model Guidance at Inference Time12 Apr
- 2025SpecReason: Fast and Accurate Inference-Time Compute via Speculative Reasoning10 Apr
- 2025s1: Simple test-time scaling31 Jan
- 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
- 2024EAGLE: Speculative Sampling Requires Rethinking Feature Uncertainty26 Jan
Other references · 21
- 2023GPT-4 Technical Reportcited by 18,396
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2019Sentence-BERT: Sentence Embeddings using Siamese BERT-Networkscited by 9,170
- 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,626
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,944
- 2024Qwen2.5 Technical Reportcited by 4,942
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
- 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 2,004
- 2022Fast Inference from Transformers via Speculative Decodingcited by 1,653
9 more
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,210
- 2024Medusa: Simple LLM Inference Acceleration Framework with Multiple Decoding Headscited by 843
- 2024EAGLE-2: Faster Inference of Language Models with Dynamic Draft Treescited by 370
- 2025EAGLE-3: Scaling up Inference Acceleration of Large Language Models via Training-Time Testcited by 331
- 2024Break the Sequential Dependency of LLM Inference Using Lookahead Decodingcited by 298
- 2024From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Modelscited by 137
- 2024Hydra: Sequentially-Dependent Draft Heads for Medusa Decodingcited by 117
- 2024CLLMs: Consistency Large Language Modelscited by 72
- 2024TurboSpec: Closed-loop Speculation Control System for Optimizing LLM Serving Goodputcited by 37
Built on by
Citing papers per year: 2025: 7; 2026: 6.
13 papers.
Sort:
By area:
- 2025A Survey on Parallel Text Generation: From Parallel Decoding to Diffusion Language Modelscited by 30
- 2025Speculative Actions: A Lossless Framework for Faster Agentic Systemscited by 22
- 2025Small Drafts, Big Verdict: Information-Intensive Visual Reasoning via Speculationcited by 8
- 2025A Survey on Collaborating Small and Large Language Models for Performance, Cost-effectiveness, Cloud-edge Privacy, and Trustworthinesscited by 7
- 2025Reject Only Critical Tokens: Pivot-Aware Speculative Decodingcited by 4
- 2026ConfSpec: Efficient Step-Level Speculative Reasoning via Confidence-Gated Verificationcited by 4
- 2025FastTTS: Accelerating Test-Time Scaling for Edge LLM Reasoningcited by 3
- 2025Thinking with Drafts: Speculative Temporal Reasoning for Efficient Long Video Understandingcited by 2
- 2026Efficient and Trainable Language Model Test-Time Scaling via Local Branch Routingcited by 2
- 2026RankGuide: Tensor-Rank-Guided Routing and Steering for Efficient Reasoningcited by 1
- 2026CURE: Local Uncertainty Repair for Block-Parallel Speculative Decodingcited by 1
- 2026Parallel Prefix Verification for Speculative Generationcited by 0
- 2026CURE: Local Uncertainty Repair for Block-Parallel Speculative Decoding1 Aug 2026
- 2026Efficient and Trainable Language Model Test-Time Scaling via Local Branch Routing24 Jun 2026
- 2026DREAM-R: Multimodal Speculative Reasoning with RL-Based Refined Drafting, Precise Verification, and Fully Parallel Execution27 May 2026
- 2026Parallel Prefix Verification for Speculative Generation5 May 2026
- 2026RankGuide: Tensor-Rank-Guided Routing and Steering for Efficient Reasoning17 Apr 2026
- 2026ConfSpec: Efficient Step-Level Speculative Reasoning via Confidence-Gated Verification28 Jan 2026
- 2025Thinking with Drafts: Speculative Temporal Reasoning for Efficient Long Video Understanding30 Nov 2025
- 2025Reject Only Critical Tokens: Pivot-Aware Speculative Decoding1 Nov 2025
- 2025Small Drafts, Big Verdict: Information-Intensive Visual Reasoning via Speculation23 Oct 2025
- 2025A Survey on Collaborating Small and Large Language Models for Performance, Cost-effectiveness, Cloud-edge Privacy, and Trustworthiness14 Oct 2025
- 2025Speculative Actions: A Lossless Framework for Faster Agentic Systems5 Oct 2025
- 2025FastTTS: Accelerating Test-Time Scaling for Edge LLM Reasoning29 Aug 2025
- 2025Small Drafts, Big Verdict: Information-Intensive Visual Reasoning via Speculationcited by 8
- 2026ConfSpec: Efficient Step-Level Speculative Reasoning via Confidence-Gated Verificationcited by 4
- 2025FastTTS: Accelerating Test-Time Scaling for Edge LLM Reasoningcited by 3
- 2025Thinking with Drafts: Speculative Temporal Reasoning for Efficient Long Video Understandingcited by 2
- 2026Efficient and Trainable Language Model Test-Time Scaling via Local Branch Routingcited by 2
- 2026RankGuide: Tensor-Rank-Guided Routing and Steering for Efficient Reasoningcited by 1
- 2026Efficient and Trainable Language Model Test-Time Scaling via Local Branch Routing24 Jun 2026
- 2026RankGuide: Tensor-Rank-Guided Routing and Steering for Efficient Reasoning17 Apr 2026
- 2026ConfSpec: Efficient Step-Level Speculative Reasoning via Confidence-Gated Verification28 Jan 2026
- 2025Thinking with Drafts: Speculative Temporal Reasoning for Efficient Long Video Understanding30 Nov 2025
- 2025Small Drafts, Big Verdict: Information-Intensive Visual Reasoning via Speculation23 Oct 2025
- 2025FastTTS: Accelerating Test-Time Scaling for Edge LLM Reasoning29 Aug 2025
Similar, not cited
Close in wording, no citation either way
- 2025Accelerated Test-Time Scaling with Model-Free Speculative Sampling
- 2026From Tokens to Steps: Verification-Aware Speculative Decoding for Efficient Multi-Step Reasoning
- 2025SpecExit: Accelerating Large Reasoning Model via Speculative Exit
- 2024Dynamic Speculation Lookahead Accelerates Speculative Decoding of Large Language Models
- 2024Constrained Decoding with Speculative Lookaheads
- 2025Speculative Verification: Exploiting Information Gain to Refine Speculative Decoding
- 2026KnapSpec: Self-Speculative Decoding via Adaptive Layer Selection as a Knapsack Problem
- 2025Fail Fast, Win Big: Rethinking the Drafting Strategy in Speculative Decoding via Diffusion LLMs