Research map / Large language models / Reasoning and chain of thought
Agentic Multi-Turn Reasoning: A Fairness Approach
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Proposes Φ-MPO, a multi-level, focal-weighted trajectory preference optimization method for training the planner of a multi-turn tool-using agent (AgentFlow-style), reporting gains over Flow-GRPO on search, agentic, math and science benchmarks.
Problem
Training multi-turn agentic LLM systems is hard due to long-horizon credit assignment under final-outcome-only supervision and imbalanced data distributions that bias trajectory-level optimization toward dominant patterns.
Approach
Combines trajectory-level DPO with a multi-level preference loss over aligned intermediate states of preferred/dispreferred rollouts (aligned by DP), and adds a focal weight (1-p)^gamma to down-weight easy pairs; the authors argue DPO and GRPO share the same pairwise gradient direction.
Key results
- Phi-MPO with Qwen2.5-7B-Instruct reaches 81.6% on Bamboogle, 81.5% on 2Wiki, 41.7% on GAIA and 50.0% on AIME24, versus 69.6%, 77.2%, 33.1%, 40.0% for Flow-GRPO.
- Ablation: removing the multi-level and focal terms drops Bamboogle from 81.6% to 61.6% (DPO only).
- Phi-MPO with Qwen3.5-9B reports 85.6% on Bamboogle and 49.6% on GAIA.
Surprising findings
- The paper's ablation shows that reducing the multi-level weight to 0.5 degrades performance more than reducing the DPO weight, which the authors take to mean the fair multi-level objective matters most.
Limitations
- Performance depends on hyperparameters (gamma, loss weights, rollout budget) which require tuning.
- Relies on quality of on-the-fly rollouts and LLM-judge reward reliability.
- Evaluation with a GPT-4o judge and a noted tie/exclusion rule for preference construction.
Experimental setup
Datasets: Search-R1 training data DeepMath
Benchmarks: Bamboogle 2Wiki HotpotQA Musique GAIA AIME2024 AMC23 GameOf24 GPQA MedQA
Metrics: accuracy
Baselines: Flow-GRPO AgentFlow Search-R1 GPT-4o GPT-4o-mini SFT Iter-RetGen ZeroSearch ReSearch StepSearch VerlTool AutoGen
Builds on: DPO GRPO Flow-GRPO AgentFlow Search-R1
Closest papers by meaning
- Building Math Agents with Multi-Turn Iterative Preference Learning (ICLR 2025 · similarity 0.89)
- Rectify Evaluation Preference: Improving LLMs’ Critique on Math Reasoning via Perplexity-aware Reinforcement Learning (AAAI 2026 · similarity 0.88)
- Reinforce LLM Reasoning through Multi-Agent Reflection (ICML 2025 · similarity 0.88)
- From Debate to Equilibrium: Belief‑Driven Multi‑Agent LLM Reasoning via Bayesian Nash Equilibrium (ICML 2025 · similarity 0.88)
- Agentic Reinforced Policy Optimization (ICLR 2026 · similarity 0.88)
- Unlocking the Power of Multi-Agent LLM for Reasoning: From Lazy Agents to Deliberation (ICLR 2026 · similarity 0.88)
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