Overview
Implement a multi-agent reasoning framework where specialist LLM agents collaborate to solve complex reasoning tasks (mathematical, medical, educational problems) without requiring resource-intensive training. The system uses test-time experience retrieval and consensus mechanisms to boost accuracy.
When to Use
- When you have complex reasoning problems requiring multiple perspectives or domain expertise
- When you need to improve accuracy without retraining models
- For domains where specialist agents can provide meaningful cross-checking (medical, scientific, mathematical reasoning)
- When you want distribution-shift robustness across problem variations
When NOT to Use
- For real-time applications requiring <100ms latency (multi-turn deliberation adds latency)
- For simple classification or single-turn tasks where multi-agent discussion adds overhead
- When agent diversity is limited (single-perspective problems)
Key Technical Components
Multi-Expert Agent Assembly
Create a team of specialist agents, each optimized for different reasoning approaches or problem domains.
# Multi-expert team configuration
agents = [
{"name": "math_specialist", "prompt_template": "solve this math problem step-by-step"},
{"name": "logic_analyzer", "prompt_template": "analyze the logical structure"},
{"name": "verification_agent", "prompt_template": "verify the solution correctness"},
]
Test-Time Experience Retrieval
At inference, retrieve relevant solved problems from a memory pool and inject them into agent deliberation.
# Experience pool construction at test-time
def retrieve_test_time_experiences(problem, pool, k=3):
"""Retrieve k most similar problems from the pool"""
similarities = [compute_similarity(problem, exp) for exp in pool]
return sorted(pool, key=lambda x: similarities[pool.index(x)], reverse=True)[:k]
Turn-Level Credit Assignment
Assign rewards to individual interaction turns based on solution correctness and contribution quality.
# Turn-level reward assignment
def compute_turn_rewards(dialogue_turns, final_solution):
"""Assign credit to each turn contributing to final solution"""
turn_rewards = []
for turn in dialogue_turns:
# Credit based on contribution to reasoning chain
credit = contribution_score(turn, final_solution)
turn_rewards.append(credit)
return turn_rewards
Consensus Mechanism
Enable agents to converge on a final answer through agreement-based selection.
# Consensus-based answer selection
def consensus_decision(agent_outputs):
"""Select answer with most agent agreement"""
answer_votes = {}
for output in agent_outputs:
ans = extract_answer(output)
answer_votes[ans] = answer_votes.get(ans, 0) + 1
return max(answer_votes, key=answer_votes.get)
Performance Characteristics
- Accuracy improvement: +3.67% over multi-agent baselines, +8.67% over single-agent
- Stable performance across distribution shifts
- Does not require updating model weights
- Inference cost scales with number of agents and dialogue turns
References
- Multi-agent RL reduces to test-time experience injection
- Turn-level credit assignment enables focused agent learning
- Consensus mechanisms provide stability without explicit training