arXiv — NLP / Computation & Language · · 3 min read

Graph-based Target Back-Propagation for Context Adaptation in Multi-LLM Agentic Systems

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Computer Science > Machine Learning

arXiv:2606.14155 (cs)
[Submitted on 12 Jun 2026]

Title:Graph-based Target Back-Propagation for Context Adaptation in Multi-LLM Agentic Systems

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Abstract:Context adaptation automates prompt engineering in LLM-based systems by iteratively revising tunable prompts from task feedback, without modifying model weights. Extending this paradigm to multi-LLM agentic systems is crucial: existing methods suffer from inaccurate credit assignment and lack convergence guarantees. We propose \textbf{G}raph-based \textbf{T}arget \textbf{B}ack-\textbf{P}ropagation (GTBP), a context adaptation framework for agentic workflows modeled as directed acyclic graphs. GTBP propagates local target outputs backward through the workflow graph and uses target--output discrepancies to guide a stage-wise prompt update mechanism. Theoretically, we show that GTBP's stage-wise prompt updates become stable over iterations, and that a sufficiently capable LLM optimizer can decrease the overall objective. Empirically, GTBP consistently outperforms strong baselines across three benchmarks while maintaining comparable computational cost.
Subjects: Machine Learning (cs.LG); Computation and Language (cs.CL)
Cite as: arXiv:2606.14155 [cs.LG]
  (or arXiv:2606.14155v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2606.14155
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Tan Zhu [view email]
[v1] Fri, 12 Jun 2026 06:27:15 UTC (418 KB)
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