From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Models
Not on the map. Why?
Cited by 78 in LLM reasoning, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
One of the most striking findings in modern research on large language models (LLMs) is that scaling up compute during training leads to better results. However, less attention has been given to the benefits of scaling compute during inference. This survey focuses on these inference-time approaches. We explore three areas under a unified mathematical formalism: token-level generation algorithms, meta-generation algorithms, and efficient generation. Token-level generation algorithms, often called decoding algorithms, operate by sampling a single token at a time or constructing a token-level search space and then selecting an output. These methods typically assume access to a language model's logits, next-token distributions, or probability scores. Meta-generation algorithms work on partial or full sequences, incorporating domain knowledge, enabling backtracking, and integrating external information. Efficient generation methods aim to reduce token costs and improve the speed of generation. Our survey unifies perspectives from three research communities: traditional natural language processing, modern LLMs, and machine learning systems.
Key facts. Cited by 136 papers in the map (data through 7 Oct 2026). Builds on 140 of its 190 references that are in the map. First posted on arXiv 24 Jun 2024.
Builds on
140 of 190 references.
References · 140
- 2017Attention Is All You Needcited by 59,932
- 2020Language Models are Few-Shot Learnerscited by 32,199
- 2022Training language models to follow instructions with human feedbackcited by 15,712
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 2015Distilling the Knowledge in a Neural Networkcited by 10,076
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2021Evaluating Large Language Models Trained on Codecited by 8,053
- 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 7,916
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2019DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lightercited by 4,243
38 more
- 2021Prefix-Tuning: Optimizing Continuous Prompts for Generationcited by 3,878
- 2021The Power of Scale for Parameter-Efficient Prompt Tuningcited by 3,769
- 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,611
- 2023Let's Verify Step by Stepcited by 3,598
- 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 3,317
- 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Modelscited by 3,155
- 2014Sequence to Sequence Learning with Neural Networkscited by 2,974
- 2022Constitutional AI: Harmlessness from AI Feedbackcited by 2,950
- 2019The Curious Case of Neural Text Degenerationcited by 2,881
- 2020Learning to summarize from human feedbackcited by 2,562
- 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,551
- 2019Fine-Tuning Language Models from Human Preferencescited by 2,124
- 2023Efficient Streaming Language Models with Attention Sinkscited by 2,115
- 2023WebArena: A Realistic Web Environment for Building Autonomous Agentscited by 1,908
- 2022Fast Inference from Transformers via Speculative Decodingcited by 1,615
- 2022Competition-Level Code Generation with AlphaCodecited by 1,427
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
- 2022SmoothQuant: Accurate and Efficient Post-Training Quantization for Large Language Modelscited by 1,338
- 2023GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpointscited by 1,311
- 2020RealToxicityPrompts: Evaluating Neural Toxic Degeneration in Language Modelscited by 1,235
- 2023AWQ: Activation-aware Weight Quantization for LLM Compression and Accelerationcited by 1,234
- 2018Hierarchical Neural Story Generationcited by 1,182
- 2024DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Modelcited by 1,093
- 2023SparseGPT: Massive Language Models Can Be Accurately Pruned in One-Shotcited by 1,090
- 2022Scaling Laws for Reward Model Overoptimizationcited by 1,056
- 2022Measuring and Narrowing the Compositionality Gap in Language Modelscited by 1,054
- 2023Accelerating Large Language Model Decoding with Speculative Samplingcited by 975
- 2023Large Language Models Cannot Self-Correct Reasoning Yetcited by 965
- 2023Teaching Large Language Models to Self-Debugcited by 963
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 895
- 2023Graph of Thoughts: Solving Elaborate Problems with Large Language Modelscited by 873
- 2024Medusa: Simple LLM Inference Acceleration Framework with Multiple Decoding Headscited by 821
- 2023RWKV: Reinventing RNNs for the Transformer Eracited by 814
- 2023DSPy: Compiling Declarative Language Model Calls into Self-Improving Pipelinescited by 803
- 2023AlpacaFarm: A Simulation Framework for Methods that Learn from Human Feedbackcited by 738
- 2019Fast Transformer Decoding: One Write-Head is All You Needcited by 700
- 2022Contrastive Decoding: Open-ended Text Generation as Optimizationcited by 598
- 2024QuaRot: Outlier-Free 4-Bit Inference in Rotated LLMscited by 598
50 most cited of 140 All 140 (JSON)
Built on by
Citing papers per year: 2024: 19; 2025: 83; 2026: 34.
136 papers.
Sort:
By area:
- 2025s1: Simple test-time scalingcited by 1,311
- 2025L1: Controlling How Long A Reasoning Model Thinks With Reinforcement Learningcited by 381
- 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Modelscited by 282
- 2025TTRL: Test-Time Reinforcement Learningcited by 253
- 2025A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?cited by 215
- 2024AI Agents That Mattercited by 199
- 2025Deep Think with Confidencecited by 199
- 2025The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoningcited by 160
- 2025The Surprising Effectiveness of Negative Reinforcement in LLM Reasoningcited by 158
- 2025Optimizing Test-Time Compute via Meta Reinforcement Fine-Tuningcited by 121
- 2025A Survey of Frontiers in LLM Reasoning: Inference Scaling, Learning to Reason, and Agentic Systemscited by 108
- 2025Is Best-of-N the Best of Them? Coverage, Scaling, and Optimality in Inference-Time Alignmentcited by 91
38 more
- 2024Inference-Aware Fine-Tuning for Best-of-N Sampling in Large Language Modelscited by 86
- 2025Scaling Test-Time Compute Without Verification or RL is Suboptimalcited by 82
- 2025Effectively Controlling Reasoning Models through Thinking Interventioncited by 63
- 2024Efficiently Scaling LLM Reasoning with Certaindexcited by 56
- 2025SETS: Leveraging Self-Verification and Self-Correction for Improved Test-Time Scalingcited by 54
- 2024The Limits of Inference Scaling Through Resamplingcited by 51
- 2025Demystifying Reasoning Dynamics with Mutual Information: Thinking Tokens are Information Peaks in LLM Reasoningcited by 50
- 2025The Majority is not always right: RL training for solution aggregationcited by 46
- 2025Phi-4-Mini-Reasoning: Exploring the Limits of Small Reasoning Language Models in Mathcited by 44
- 2025Inference-Time Scaling for Complex Tasks: Where We Stand and What Lies Aheadcited by 43
- 2025Budget-Aware Tool Use Enables Effective Agent Scalingcited by 42
- 2025Do LLM Evaluators Prefer Themselves for a Reason?cited by 38
- 2025CodePDE: An Inference Framework for LLM-driven PDE Solver Generationcited by 37
- 2024MM-Eval: A Multilingual Meta-Evaluation Benchmark for LLM-as-a-Judge and Reward Modelscited by 34
- 2024InfAlign: Inference-aware language model alignmentcited by 34
- 2024AlphaVerus: Bootstrapping Formally Verified Code Generation through Self-Improving Translation and Treefinementcited by 33
- 2025Optimizing Temperature for Language Models with Multi-Sample Inferencecited by 33
- 2025Theoretical Physics Benchmark (TPBench) -- a Dataset and Study of AI Reasoning Capabilities in Theoretical Physicscited by 33
- 2025Inference-Time Reward Hacking in Large Language Modelscited by 32
- 2025Inference-Time Computations for LLM Reasoning and Planning: A Benchmark and Insightscited by 30
- 2025LLM Probability Concentration: How Alignment Shrinks the Generative Horizoncited by 26
- 2024Provable Scaling Laws for the Test-Time Compute of Large Language Modelscited by 25
- 2025Overclocking LLM Reasoning: Monitoring and Controlling Thinking Path Lengths in LLMscited by 22
- 2025Train Long, Think Short: Curriculum Learning for Efficient Reasoningcited by 20
- 2024Better Instruction-Following Through Minimum Bayes Riskcited by 19
- 2024Understanding Layer Significance in LLM Alignmentcited by 19
- 2026Agentic Aggregation for Parallel Scaling of Long-Horizon Agentic Taskscited by 18
- 2024Scaling LLM Inference with Optimized Sample Compute Allocationcited by 16
- 2024SLED: Self Logits Evolution Decoding for Improving Factuality in Large Language Modelscited by 16
- 2024Mind the Gap: Examining the Self-Improvement Capabilities of Large Language Modelscited by 16
- 2025PlanGEN: A Multi-Agent Framework for Generating Planning and Reasoning Trajectories for Complex Problem Solvingcited by 15
- 2025Generative AI Act II: Test Time Scaling Drives Cognition Engineeringcited by 14
- 2025Enhancing Latent Computation in Transformers with Latent Tokenscited by 13
- 2025When Models Reason in Your Language: Controlling Thinking Language Comes at the Cost of Accuracycited by 13
- 2025Scaling Speculative Decoding with Lookahead Reasoningcited by 13
- 2025From Drafts to Answers: Unlocking LLM Potential via Aggregation Fine-Tuningcited by 12
- 2025Let's Think in Two Steps: Mitigating Agreement Bias in MLLMs with Self-Grounded Verificationcited by 12
- 2024Plan*RAG: Efficient Test-Time Planning for Retrieval Augmented Generationcited by 11
50 most cited of 136 All 136 (JSON)
- 2026Beam Search as Test-Time Self-Distillation via Counterfactual Contexts29 Sep 2026
- 2026FORGE: Form-Optimal Routing of Grounded Evidence for Frozen LLM Agents28 Sep 2026
- 2026Canopy: Exploiting Piecewise Smooth Tree Priors for Multi-Fidelity Bandits24 Sep 2026
- 2026To Copy or Not to Copy: Controlling Speculative Decoding via Intrinsic Model Signals17 Sep 2026
- 2026Divergent-Convergent Reasoning: Scaling Test-Time Compute through Structured Solution Synthesis15 Aug 2026
- 2026Geometric Signatures of Reasoning: A Spectral Perspective on Task Hardness2 Jul 2026
- 2026Fork-Think with Confidence30 Jun 2026
- 2026Depth-Entropy Guided Sampling for Training-Free LLM Reasoning19 Jun 2026
- 2026Hard or Just Unreached? Diagnosing the Sampling Blind Spot in Math-Reasoning Difficulty Estimation17 Jun 2026
- 2026A Generalized Formalism of Auto-Regressive Decoding for Speech Processing16 Jun 2026
- 2026APPO: Agentic Procedural Policy Optimization10 Jun 2026
- 2026Evaluation of ML Resource Utilization Requires Model Life Cycle Assessment31 May 2026
38 more
- 2026Test-Time Training Undermines Safety Guardrails21 May 2026
- 2026The tractability landscape of diffusion alignment: regularization, rewards, and computational primitives12 May 2026
- 2026Joint Consistency: A Unified Test-Time Aggregation Framework via Energy Minimization7 May 2026
- 2026Power Distribution Bridges Sampling, Self-Reward RL, and Self-Distillation6 May 2026
- 2026Agentic Aggregation for Parallel Scaling of Long-Horizon Agentic Tasks13 Apr 2026
- 2026Know Thy Reasoner: Not All Language Models Explore Alike12 Apr 2026
- 2026Learning and Enforcing Context-Sensitive Control for LLMs12 Apr 2026
- 2026GCoT-Decoding: Unlocking Deep Reasoning Paths for Universal Question Answering8 Apr 2026
- 2026No Single Best Model for Diversity: Learning a Router for Sample Diversity2 Apr 2026
- 2026Reasonably reasoning AI agents can avoid game-theoretic failures in zero-shot, provably19 Mar 2026
- 2026Re2: Unlocking LLM Reasoning via Reinforcement Learning with Re-solving7 Mar 2026
- 2026Asking the Right Questions: Improving Reasoning with Generated Stepping Stones22 Feb 2026
- 2026Thinking by Subtraction: Confidence-Driven Contrastive Decoding for LLM Reasoning20 Feb 2026
- 2026PETS: A Principled Framework Towards Optimal Trajectory Allocation for Efficient Test-Time Self-Consistency18 Feb 2026
- 2026Steering diffusion models with quadratic rewards: a fine-grained analysis18 Feb 2026
- 2026OneLatent: Single-Token Compression for Visual Latent Reasoning14 Feb 2026
- 2026Consistency of Large Reasoning Models Under Multi-Turn Attacks13 Feb 2026
- 2026CoRefine: Confidence-Guided Self-Refinement for Adaptive Test-Time Compute9 Feb 2026
- 2026HyPER: Bridging Exploration and Exploitation for Scalable LLM Reasoning with Hypothesis Path Expansion and Reduction6 Feb 2026
- 2026NEX: Neuron Explore-Exploit Scoring for Label-Free Chain-of-Thought Selection and Model Ranking5 Feb 2026
- 2026A Relative-Budget Theory for Reinforcement Learning with Verifiable Rewards in Large Language Model Reasoning2 Feb 2026
- 2026More Bang for the Buck: Improving the Inference of Large Language Models at a Fixed Budget using Reset and Discard (ReD)29 Jan 2026
- 2025Stackelberg Learning from Human Feedback: Preference Optimization as a Sequential Game18 Dec 2025
- 2025SPINE: Token-Selective Test-Time Reinforcement Learning with Entropy-Band Regularization22 Nov 2025
- 2025Budget-Aware Tool Use Enables Effective Agent Scaling21 Nov 2025
- 2025On the Entropy Calibration of Language Models15 Nov 2025
- 2025Self-Harmony: Learning to Harmonize Self-Supervision and Self-Play in Test-Time Reinforcement Learning3 Nov 2025
- 2025PDE-SHARP: PDE Solver Hybrids through Analysis and Refinement Passes31 Oct 2025
- 2025VCORE: Variance-Controlled Optimization-based Reweighting for Chain-of-Thought Supervision31 Oct 2025
- 2025Prompting from the bench: Large-scale pretraining is not sufficient to prepare LLMs for ordinary meaning analysis29 Oct 2025
- 2025CircuitSeer: Mining High-Quality Data by Probing Mathematical Reasoning Circuits in LLMs21 Oct 2025
- 2025Budget-aware Test-time Scaling via Discriminative Verification16 Oct 2025
- 2025Rewiring Experts on the Fly:Continuous Rerouting for Better Online Adaptation in Mixture-of-Expert models16 Oct 2025
- 2025Understanding the Role of Training Data in Test-Time Scaling4 Oct 2025
- 2025Optimal Stopping vs Best-of-N for Inference Time Optimization1 Oct 2025
- 2025Making, not Taking, the Best of N1 Oct 2025
- 2025ScalingAR: Scaling Confidence for Autoregressive Image Generation30 Sep 2025
- 2025The Majority is not always right: RL training for solution aggregation8 Sep 2025
50 newest of 136 All 136 (JSON)
- 2025s1: Simple test-time scalingcited by 1,311
- 2025L1: Controlling How Long A Reasoning Model Thinks With Reinforcement Learningcited by 381
- 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Modelscited by 282
- 2025TTRL: Test-Time Reinforcement Learningcited by 253
- 2025A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?cited by 215
- 2025Deep Think with Confidencecited by 199
- 2025The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoningcited by 160
- 2025The Surprising Effectiveness of Negative Reinforcement in LLM Reasoningcited by 158
- 2025Optimizing Test-Time Compute via Meta Reinforcement Fine-Tuningcited by 121
- 2025A Survey of Frontiers in LLM Reasoning: Inference Scaling, Learning to Reason, and Agentic Systemscited by 108
- 2024Inference-Aware Fine-Tuning for Best-of-N Sampling in Large Language Modelscited by 86
- 2025Scaling Test-Time Compute Without Verification or RL is Suboptimalcited by 82
12 most cited of 78 All 78 (JSON)
- 2026Divergent-Convergent Reasoning: Scaling Test-Time Compute through Structured Solution Synthesis15 Aug 2026
- 2026Geometric Signatures of Reasoning: A Spectral Perspective on Task Hardness2 Jul 2026
- 2026Fork-Think with Confidence30 Jun 2026
- 2026Depth-Entropy Guided Sampling for Training-Free LLM Reasoning19 Jun 2026
- 2026Joint Consistency: A Unified Test-Time Aggregation Framework via Energy Minimization7 May 2026
- 2026Power Distribution Bridges Sampling, Self-Reward RL, and Self-Distillation6 May 2026
- 2026Agentic Aggregation for Parallel Scaling of Long-Horizon Agentic Tasks13 Apr 2026
- 2026Know Thy Reasoner: Not All Language Models Explore Alike12 Apr 2026
- 2026GCoT-Decoding: Unlocking Deep Reasoning Paths for Universal Question Answering8 Apr 2026
- 2026Reasonably reasoning AI agents can avoid game-theoretic failures in zero-shot, provably19 Mar 2026
- 2026Re2: Unlocking LLM Reasoning via Reinforcement Learning with Re-solving7 Mar 2026
- 2026Asking the Right Questions: Improving Reasoning with Generated Stepping Stones22 Feb 2026
12 newest of 78 All 78 (JSON)
- 2025Is Best-of-N the Best of Them? Coverage, Scaling, and Optimality in Inference-Time Alignmentcited by 91
- 2024MM-Eval: A Multilingual Meta-Evaluation Benchmark for LLM-as-a-Judge and Reward Modelscited by 34
- 2024InfAlign: Inference-aware language model alignmentcited by 34
- 2025Inference-Time Reward Hacking in Large Language Modelscited by 32
- 2025LLM Probability Concentration: How Alignment Shrinks the Generative Horizoncited by 26
- 2024Understanding Layer Significance in LLM Alignmentcited by 19
- 2025Stackelberg Learning from Human Feedback: Preference Optimization as a Sequential Gamecited by 9
- 2025Optimal Stopping vs Best-of-N for Inference Time Optimizationcited by 6
- 2025Stackelberg Learning from Human Feedback: Preference Optimization as a Sequential Game18 Dec 2025
- 2025Optimal Stopping vs Best-of-N for Inference Time Optimization1 Oct 2025
- 2025Inference-Time Reward Hacking in Large Language Models24 Jun 2025
- 2025LLM Probability Concentration: How Alignment Shrinks the Generative Horizon22 Jun 2025
- 2025Is Best-of-N the Best of Them? Coverage, Scaling, and Optimality in Inference-Time Alignment27 Mar 2025
- 2024InfAlign: Inference-aware language model alignment27 Dec 2024
- 2024Understanding Layer Significance in LLM Alignment23 Oct 2024
- 2024MM-Eval: A Multilingual Meta-Evaluation Benchmark for LLM-as-a-Judge and Reward Models23 Oct 2024
- 2026FORGE: Form-Optimal Routing of Grounded Evidence for Frozen LLM Agents28 Sep 2026
- 2026APPO: Agentic Procedural Policy Optimization10 Jun 2026
- 2024AI Agents That Mattercited by 199
- 2024The Limits of Inference Scaling Through Resamplingcited by 51
- 2025CodePDE: An Inference Framework for LLM-driven PDE Solver Generationcited by 37
- 2024Better Instruction-Following Through Minimum Bayes Riskcited by 19
- 2025Enhancing Latent Computation in Transformers with Latent Tokenscited by 13
- 2025Foundations of Top-k Decoding For Language Modelscited by 10
- 2025Active Layer-Contrastive Decoding Reduces Hallucination in Large Language Model Generationcited by 10
- 2025Self-Harmony: Learning to Harmonize Self-Supervision and Self-Play in Test-Time Reinforcement Learningcited by 9
- 2025Recursive Inference Scaling: A Winning Path to Scalable Inference in Language and Multimodal Systemscited by 8
- 2025Ensemble Learning for Large Language Models in Text and Code Generation: A Surveycited by 8
- 2025Universal Zero-shot Embedding Inversioncited by 8
- 2025A Mathematical Philosophy of Explanations in Mechanistic Interpretability -- The Strange Science Part I.icited by 6
12 most cited of 37 All 37 (JSON)
- 2026Beam Search as Test-Time Self-Distillation via Counterfactual Contexts29 Sep 2026
- 2026Canopy: Exploiting Piecewise Smooth Tree Priors for Multi-Fidelity Bandits24 Sep 2026
- 2026Hard or Just Unreached? Diagnosing the Sampling Blind Spot in Math-Reasoning Difficulty Estimation17 Jun 2026
- 2026A Generalized Formalism of Auto-Regressive Decoding for Speech Processing16 Jun 2026
- 2026Evaluation of ML Resource Utilization Requires Model Life Cycle Assessment31 May 2026
- 2026Learning and Enforcing Context-Sensitive Control for LLMs12 Apr 2026
- 2026No Single Best Model for Diversity: Learning a Router for Sample Diversity2 Apr 2026
- 2026More Bang for the Buck: Improving the Inference of Large Language Models at a Fixed Budget using Reset and Discard (ReD)29 Jan 2026
- 2025On the Entropy Calibration of Language Models15 Nov 2025
- 2025Self-Harmony: Learning to Harmonize Self-Supervision and Self-Play in Test-Time Reinforcement Learning3 Nov 2025
- 2025PDE-SHARP: PDE Solver Hybrids through Analysis and Refinement Passes31 Oct 2025
- 2025Prompting from the bench: Large-scale pretraining is not sufficient to prepare LLMs for ordinary meaning analysis29 Oct 2025
12 newest of 37 All 37 (JSON)