mlsanityData to 7 Oct 2026

Taming Speculative Search for Test-Time Scaling in LLM Serving

arXiv 2609.39334 ↗First posted 30 Sep 2026cs.DC cs.CL cs.OScited by 0

On the map: LLM reasoning → Test-time compute and efficient thinking also fits: Mathematical reasoning

also in 1 more
Abstract (arXiv)

Test-time scaling has recently emerged as a powerful approach for improving LLM reasoning by allocating additional computation during inference, substantially enhancing accuracy on challenging tasks such as mathematics and coding. To accelerate the exploration of reasoning paths, recent studies proposed speculative execution. However, we show that supporting speculative execution poses two unique challenges for LLM serving systems: (1) an explosion in the search space of candidate paths and (2) frequent, fine-grained verification tasks for candidates. To address these challenges, this paper proposes SpecScale, a serving system for efficient speculative execution. We introduce three techniques to reconcile the trade-off between latency and computational overhead: (1) early pruning of low-quality candidate paths, (2) deduplicating computation across redundant candidate paths, and (3) deferring fine-grained verification tasks. We evaluate SpecScale on challenging reasoning benchmarks, including MATH and Olympiad. Our results show that SpecScale significantly outperforms both non-speculative and recent speculative approaches, delivering substantial improvements in throughput and latency while preserving answer quality.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 13 of its 47 references that are in the map. First posted on arXiv 30 Sep 2026.

Builds on

13 of 47 references.

Closest ancestors · 1

Same direction, newest first

  1. 2025textttSPECS: Faster Test-Time Scaling through Speculative Drafts15 Jun

Other references · 12

  1. 2023GPT-4 Technical Reportcited by 18,132
  2. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  3. 2015Distilling the Knowledge in a Neural Networkcited by 10,076
  4. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  5. 2020Scaling Laws for Neural Language Modelscited by 6,411
  6. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  7. 2024GPT-4o System Cardcited by 4,467
  8. 2022Training Compute-Optimal Large Language Modelscited by 2,927
  9. 2024Large Language Monkeys: Scaling Inference Compute with Repeated Samplingcited by 946
  10. 2022Solving math word problems with process- and outcome-based feedbackcited by 871
  11. 2024OpenR: An Open Source Framework for Advanced Reasoning with Large Language Modelscited by 92
  12. 2024Hydragen: High-Throughput LLM Inference with Shared Prefixescited by 71

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  1. 2025SSR: Speculative Parallel Scaling Reasoning in Test-time
  2. 2025Scaling over Scaling: Exploring Test-Time Scaling Plateau in Large Reasoning Models
  3. 2025SpecExit: Accelerating Large Reasoning Model via Speculative Exit
  4. 2025SCALE: Selective Resource Allocation for Overcoming Performance Bottlenecks in Mathematical Test-time Scaling
  5. 2025Are We Scaling the Right Thing? A System Perspective on Test-Time Scaling
  6. 2025Scaling Up, Speeding Up: A Benchmark of Speculative Decoding for Efficient LLM Test-Time Scaling
  7. 2024Efficiently Scaling LLM Reasoning with Certaindex
  8. 2026ThinkBooster: A Unified Framework for Seamless Test-Time Scaling of LLM Reasoning