Test-Time Alignment for Large Language Models via Textual Model Predictive Control

TL;DR

This paper introduces Textual Model Predictive Control (TMPC), a novel test-time alignment method for large language models that uses hierarchical planning and subgoal identification to improve task-specific outputs.

Contribution

TMPC adapts model predictive control to text generation, overcoming segmentation challenges with hierarchical subgoal discovery and conditioned re-generation for better alignment.

Findings

Consistently improves performance across translation, long-form response, and code synthesis tasks.

Effectively discovers meaningful subgoals for task-specific planning.

Demonstrates generality and robustness in diverse text generation scenarios.

Abstract

Aligning Large Language Models (LLMs) with human preferences through finetuning is resource-intensive, motivating lightweight alternatives at test time. We address test-time alignment through the lens of sequential decision making, a perspective that reveals two fundamental challenges. When actions are defined at the token level, as in guided decoding, alignment suffers from the curse of horizon. Conversely, when actions are at the response level, as in traditional iterative refinement, the curse of dimensionality emerges. To resolve this trade-off, we draw inspiration from Model Predictive Control (MPC) in control theory to propose Textual Model Predictive Control (TMPC), a novel predictive planning framework adapted for aligning LLMs at inference time. A key limitation of standard MPC is its reliance on predefined, hard segment boundaries, which are often absent in text generation. TMPC overcomes this by introducing two principles inspired by hierarchical reinforcement learning: (1) Hindsight Subgoal Identification, where TMPC analyzes generation subgoals to retrospectively identify high-reward intermediate outputs as subgoals. This allows the framework to discover meaningful, task-specific planning steps (e.g., a sentence in machine translation or a bug fix in code generation.). (2) Subgoal-Conditioned Re-Generation, where these identified subgoals are used to guide subsequent planning iterations. By conditioning on these proven, high-quality subgoals, TMPC ensures stable improvement by building upon previously validated successes. TMPC is evaluated on three tasks with distinct segmentation properties: discourse-level translation, long-form response generation, and program synthesis. The results demonstrate that TMPC consistently improves performance, highlighting the generality.