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A Survey of Automatic Prompt Engineering: An Optimization Perspective
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The rise of foundation models has shifted focus from resource-intensive fine-tuning to prompt engineering, a paradigm that steers model behavior through input design rather than weight updates. While manual prompt engineering faces limitations in scalability, adaptability, and cross-modal alignment, automated methods, spanning foundation model (FM) based optimization, evolutionary methods, gradient-based optimization, and reinforcement learning, offer promising solutions. Existing surveys, however, remain fragmented across modalities and methodologies. This paper presents the first comprehensive survey on automated prompt engineering through a unified optimization-theoretic lens. We formalize prompt optimization as a maximization problem over discrete, continuous, and hybrid prompt spaces, systematically organizing methods by their optimization variables (instructions, soft prompts, exemplars), task-specific objectives, and computational frameworks. By bridging theoretical formulation with practical implementations across text, vision, and multimodal domains, this survey establishes a foundational framework for both researchers and practitioners, while highlighting underexplored frontiers in constrained optimization and agent-oriented prompt design.
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Cited by 9 Pith papers
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TAPR: Enhancing LLM Performance with a Task-Aware Prompt Rewriter
A small LLM trained with GRPO and LLM-judge rewards rewrites simple prompts into more effective ones, improving question-answering and arithmetic accuracy over base prompts while giving mixed, often negligible gains o...
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From Errors to Rules: Iterative Prompt Optimization for Text Classification
Error-driven prompt optimization (ERGO) beats demonstration and search methods on boundary-learnable tasks (TREC 90.0, CLINC150 94.4), but no paradigm dominates overall.
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FitText: Evolving Agent Tool Ecologies via Memetic Retrieval
FitText embeds memetic evolutionary retrieval inside the agent's reasoning loop to iteratively refine pseudo-tool descriptions, raising retrieval rank from 8.81 to 2.78 on ToolRet and pass rate to 0.73 on StableToolBench.
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APIO: Automatic Prompt Induction and Optimization for Grammatical Error Correction and Text Simplification
APIO automatically induces and optimizes instruction-list prompts for grammatical error correction and text simplification, reporting improved scores over prior prompt-based methods on BEA-2019 and ASSET.
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Stabilizing Black-Box Prompt Optimization with Textual Regularization and Signal Aggregation
TRAS adds success-based textual regularization and Monte Carlo signal aggregation to black-box prompt optimization, improving accuracy and reducing instruction loss when moving prompts across models.
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A practitioner methodology of role-ranked context packages and a four-stage pipeline is associated with better first-pass AI output quality in a single-operator observational study of 200 interactions.
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Parameter-Efficient Adaptation of mPLUG-Owl2 via Pixel-Level Visual Prompts for NR-IQA
With a learned 30-pixel border prompt added to input images, a frozen mPLUG-Owl2-7B reaches 0.932 SRCC on KADID-10k using about 156K trainable parameters.
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Towards Efficient and Robust Linguistic Emotion Diagnosis for Mental Health via Multi-Agent Instruction Refinement
A multi-agent prompt-rewriting loop is claimed to improve LLM emotion diagnosis accuracy, but its evaluation appears to optimize on the test set and lacks replication details.
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Causal Prompting for Implicit Sentiment Analysis with Large Language Models
CAPITAL boosts implicit sentiment classification by weighting chain-of-thought outputs through a front-door adjustment approximation, but the causal mechanism is asserted rather than established.
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