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This research introduces GTBP, a novel framework for automating prompt engineering in multi-LLM agentic systems by modeling workflows as directed acyclic graphs. The method addresses critical issues like inaccurate credit assignment and lack of convergence guarantees through backward propagation of target outputs to guide stage-wise updates without modifying model weights. Empirical results demonstrate that this approach consistently outperforms existing baselines while maintaining comparable computational costs, offering a robust solution for scaling complex agentic workflows.
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Graph-based Target Back-Propagation for Context Adaptation in Multi-LLM Agentic Systems

arXiv2 min read

arXiv:2606.14155v1 Announce Type: new 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.

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.

Machine Learning (cs.LG); Computation and Language (cs.CL)

arXiv:2606.14155 [cs.LG]

(or arXiv:2606.14155v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.14155 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 215 words

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