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Paper · arXiv

When Gradients Collide: Failure Modes of Multi-Objective Prompt Optimization for LLM Judges

Customizing an LLM judge to a specific problem or domain often involves optimizing its prompt across multiple evaluation criteria simultaneously. Textual gradient methods automate this for a single judge criterion, however they produce natural-language critiques, not numerical vectors. Thus, the conflict-resolution toolkit of multi-task learning (PCGrad, MGDA) does not apply to this multi-objective textual gradient setting. We extend TextGrad to the multi-objective setting and test four decomposition modes of textual gradient optimizers by varying how much cross-objective information the loss, gradient and optimizer LLMs share. We find the gradient's task-focus drops by 59% (9.0 to 3.7 ou...

AuthorsParth Darshan, Abhishek Divekar
Primary categorycs.CL
Published25 May 2026
Last updated at source3 June 2026
cs.CLcs.AIcs.LGcs.MAcs.SE
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