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A Communication-Theoretic Framework for LLM Agents: Cost-Aware Adaptive Reliability
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Frames LLM sampling as a discrete stochastic channel and maps six communication-theoretic reliability operators (diversity combining, HARQ, turbo-style generator-critic, fountain sampling, FEC-style parity, ACM routing) onto agent techniques, plus a cost-aware semantic-kNN router with a single Lagrangian knob.
Problem
Agent reliability techniques (retry, majority voting, self-consistency, refinement, routing) are developed separately without a common analytical framework, and no fixed model-technique-budget choice dominates across tasks.
Approach
Treats an LLM sampled at temperature T as a discrete stochastic channel p(y|x) and recasts existing inference-time reliability methods as special cases of six classical communication operators; adds a semantic-kNN router whose lambda trades quality against normalized cost without retraining.
Key results
- On a 300-item hard split of MMLU/GSM8K/HumanEval, the semantic-kNN router at lambda=3 beats cross-validated fixed-best by 6.8% quality at matched normalized cost (Wilcoxon p<1e-13).
- At matched quality (~0.818), the router at lambda=38 runs at 55.7% lower normalized cost than fixed-best.
- On 14B, HARQ-IR reaches +14.0% coding gain and turbo +14.2%; Diversity-EGC beats MRC on noisier judge CSI configurations (14B and Ollama-cloud).
Surprising findings
- Equal-gain combining outperforms quality-weighted (MRC) combining on the local and Ollama-cloud configurations where judge scores are noisier.
- Self-Refine slightly beats HARQ-IR on Ollama-cloud configurations, and Self-Consistency is statistically tied with the paper's Diversity-MRC-Discrete-N at some operating points.
Limitations
- Judge-score noise from binary-checklist scorer and dual-role judge confound (judge-free decoders still win about 39% of oracle assignments).
- Curated task selection bias; 69 curated tasks and 36 benchmark tasks referenced in supplement only.
- Theoretical results rely on linear-Gaussian idealization and first-order approximations; LLM combiner is not a linear combiner, so MRC optimality is not established end-to-end.
Experimental setup
Datasets: MMLU GSM8K HumanEval curated 69-task suite
Benchmarks: MMLU GSM8K HumanEval curated 69-task suite
Metrics: quality coding gain normalized cost coding-gain efficiency Pareto frontier
Baselines: Self-Consistency Best-of-N Weighted Best-of-N CISC Mixture-of-Agents Self-Refine Chain-of-Verification RouteLLM FrugalGPT
Builds on: Self-Consistency Mixture-of-Agents Self-Refine FrugalGPT RouteLLM
Closest papers by meaning
- KVComm: Enabling Efficient LLM Communication through Selective KV Sharing (ICLR 2026 · similarity 0.88)
- PACE: Two-Timescale Self-Evolution for Small Language Model Agents (NeurIPS 2026 · similarity 0.87)
- Cost-Effective Communication: An Auction-based Method for Language Agent Interaction (AAAI 2026 · similarity 0.87)
- MESS+: Dynamically Learned Inference-Time LLM Routing in Model Zoos with Service Level Guarantees (NeurIPS 2025 · similarity 0.87)
- Cut the Crap: An Economical Communication Pipeline for LLM-based Multi-Agent Systems (ICLR 2025 · similarity 0.86)
- MOC: Multi-Order Communication in LLM-based Multi-Agent Systems (ICML 2026 · similarity 0.86)
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