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Example of Tree of Thoughts

Last updated Dec 12, 2024 Edit Source

# TL;DR

  1. Tree of Thoughts (ToT) is a systematic problem-solving methodology that breaks down complex problems into evaluated decision trees
  2. It uses multiple agents (Thinker, Grader) to generate and evaluate solution paths, leading to optimal decision making
  3. The method combines broad exploration with focused execution, making it effective for both analytical and business problems

# Motivation

# Key Takeaways

  1. Systematic Evaluation

    • Each solution path is scored objectively
    • Multiple perspectives are considered before decisions
    • Process is documented and traceable
  2. Flexible Application

    • Works for both quantitative and qualitative problems
    • Can be adapted to different domains (math, business, etc.)
    • Allows for course correction through multiple stages
  3. Structured Process

    • Clear roles for different agents (Thinker, Grader)
    • Consistent evaluation criteria
    • Iterative refinement of solutions

# Technical Details

  1. Core Components

    graph LR Q[Question: Initial Problem] Q -->|"Generate options"| TOT[TOT Thinker] TOT -->|"Evaluate"| G[Grader] G -->|"Select best path"| S[Selected Approach] S -->|"Refine"| TOT2[Next Steps]
  2. Key Agents

    • User Proxy: Initiates the problem
    • Reasoning Agent: Coordinates process
    • TOT Thinker: Generates options
    • TOT Grader: Evaluates solutions
  3. Scoring System

    • 5-point scale for evaluation
    • Multiple criteria considered
    • Consistent scoring across options
graph TD Q[Question: How to optimize cafe operating hours?] Q -->|"Break down into
key factors"| TOT[TOT Thinker: Initial Approaches] TOT -->|"Focus on
financial data"| O1[Option 1: Revenue Analysis] TOT -->|"Consider human
factors"| O2[Option 2: Staff Availability] TOT -->|"Study customer
behavior"| O3[Option 3: Peak Hours Analysis] TOT -->|"Look at
competition"| O4[Option 4: Market Research] O1 -->|"Incomplete
picture"| G1[Grader: Score 4/5] O2 -->|"Important but
secondary"| G2[Grader: Score 3/5] O3 -->|"Direct customer
insight"| G3[Grader: Score 5/5] O4 -->|"Good context
needed"| G4[Grader: Score 4/5] G3 -->|"Most relevant
to goal"| Selected[Selected Path: Peak Hours Analysis] Selected -->|"Define analysis
methods"| Step1[Step 1: Data Collection Plan] Step1 -->|"Consider
next steps"| TOT2[TOT Thinker: Analysis Methods] TOT2 -->|"Historical
data"| NO1[Option 1: Transaction Analysis] TOT2 -->|"Real-time
monitoring"| NO2[Option 2: Foot Traffic Study] TOT2 -->|"Customer
input"| NO3[Option 3: Customer Survey] TOT2 -->|"Basic
counting"| NO4[Option 4: Manual Observation] NO1 -->|"Data-driven
approach"| NG1[Grader: Score 5/5] NO2 -->|"Resource
intensive"| NG2[Grader: Score 3/5] NO3 -->|"Valuable but
biased"| NG3[Grader: Score 4/5] NO4 -->|"Too
limited"| NG4[Grader: Score 2/5] NG1 -->|"Choose most
efficient method"| FinalPath[Transaction Analysis Implementation] FinalPath -->|"Analyze sales
patterns"| Calc[Process Historical Data] Calc -->|"Optimize
schedule"| Result[Result: 7AM-8PM M-F, 8AM-6PM Weekends] style Q fill:#f9f,stroke:#333,stroke-width:2px style Selected fill:#9f9,stroke:#333,stroke-width:2px style FinalPath fill:#9f9,stroke:#333,stroke-width:2px style Result fill:#ff9,stroke:#333,stroke-width:2px

# Implementation notes

  1. Problem Definition

    • Clear initial question
    • Well-defined scope
    • Measurable outcomes
  2. Option Generation

    • Multiple approaches considered
    • Broad initial exploration
    • Refinement in subsequent stages
  3. Evaluation Process

    • Objective scoring criteria
    • Documentation of reasoning
    • Selection of optimal paths
  4. Example Implementation

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    def tot_process(problem):
        # Initial branching
        options = tot_thinker.generate_options(problem)
        scores = tot_grader.evaluate_options(options)
    
        # Select best path
        best_option = select_highest_score(options, scores)
    
        # Refine solution
        next_steps = tot_thinker.generate_next_steps(best_option)
        final_path = tot_grader.evaluate_and_select(next_steps)
    
        return implement_solution(final_path)
    

# Questions

  1. How does ToT handle conflicting evaluation criteria?
  2. Can the methodology be automated with AI agents?
  3. What are the limitations for very large decision trees?
  4. How to determine the optimal number of options to generate?
  5. Is there a way to parallelize the evaluation process?

# Action Items

# Related resources

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