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Understanding Graph-of-Thoughts: A New Paradigm in AI Prompting

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Chapter 1: Introduction to Graph-of-Thoughts

The evolution of prompting techniques has led us to the innovative concept of Graph-of-Thoughts, following the earlier methods known as Chain-of-Thought and Tree-of-Thought. This approach optimizes interactions with Large Language Models (LLMs) without the need for weight adjustments.

Graph-of-Thoughts visualization by StabilityAI

For those unfamiliar, a prompt is essentially the input we provide to a language model like ChatGPT, Claude, or LLama. These models are designed to generate language based on statistical patterns learned from extensive datasets. When you type a prompt on platforms like OpenAI's chat interface, you set the stage for the model's response.

The specificity and structure of your prompt significantly influence the subsequent output. Consider how we humans respond differently based on the wording of a request. For example, asking, “Can you write a blog post for me?” may yield a different approach than “Please draft a step-by-step blog and check in with me after each section.” This variability has given rise to the field of Prompt Engineering, where users experiment with phrasing to enhance model performance.

Section 1.1: Key Prompting Techniques

Several noteworthy prompting strategies have emerged:

  1. Chain-of-Thoughts: This technique involves demonstrating a sequential reasoning process, encouraging the model to use more tokens and thereby increasing the likelihood of accurate responses. It can be achieved by providing examples or by instructing the model to "think step by step."
  2. Chain-of-Thoughts-Self-Consistency: Similar to Chain-of-Thoughts, this method involves generating multiple reasoning chains and selecting the most promising one.
  3. Tree-of-Thoughts: This strategy allows for the exploration of various thoughts, enabling users to backtrack or delve deeper into specific ideas.
  4. Graph-of-Thoughts: Building on the Tree-of-Thoughts concept, this method represents thoughts as directed acyclic graphs, allowing for the combination and looping of thoughts to refine or enhance ideas.
Comparison of various prompting strategies

Section 1.2: Structuring Problems as Graphs

To effectively apply Graph-of-Thoughts, we can model problems using vertices and edges. Each vertex represents a thought prompted by the input, while edges denote relationships where one thought leads to another. For instance, in summarizing a paragraph, some vertices might represent plans for summarization, while others are the actual summaries.

The concept of transformation within this graph allows us to shift from one state to another, represented mathematically as T(G, p), where G is the graph consisting of vertices and edges, and p is the LLM used. These transformations can introduce new vertices and edges, signifying new thoughts.

Types of Transformations:

  • Aggregations: Combining multiple thoughts to create an improved outcome.
  • Refinement: Iterating on a single thought for enhancement.
  • Generation: Producing new thoughts based on existing ones.

Scoring and Ranking

To determine which thoughts to keep, refine, or discard, we implement a scoring system where either an LLM or a human evaluates responses against the initial prompt.

Chapter 2: The Architecture of Graph-of-Thoughts

Video Description: This video delves into how Graph-of-Thoughts can be utilized to solve complex problems with Large Language Models, showcasing practical applications and methodologies.

The architecture of the Graph-of-Thoughts is intricate, comprising several components:

  • Prompter: This component prepares prompts for generating, improving, and scoring thoughts. It employs APIs like:
    • Generate(t,k): Produces prompts for k new thoughts based on thought t.
    • ValidateAndImprove(t): Enhances thought t.
    • Aggregate(t1,…,tk): Combines thoughts t1 through tk.
    • Score(t): Rates thought t.
    • Validate(t): Checks the accuracy of thought t.
  • Parser: This module processes thoughts from the LLM and updates the Graph Reasoning State (GRS) based on the output.
  • Graph of Operations (GoO): This maintains the sequence of operations, including predecessors and successors.
  • Graph Reasoning State (GRS): A dynamic graph that evolves with each operation.
  • Controller: This manages the execution plan, retrieves information from the GRS, and oversees the workflow.

Video Description: This video explores the application of Graph-of-Thoughts (GoT) for AI reasoning agents, illustrating its impact on enhancing decision-making processes.

Conclusion

This discussion introduces the Graph-of-Thoughts as a novel prompting technique that generalizes previous strategies like Chain-of-Thoughts and Tree-of-Thoughts. It offers enhanced flexibility in refining single thoughts and aggregating multiple ideas for improved outcomes.

If you found this article helpful, please consider sharing your thoughts and connecting with me on LinkedIn, Aziz Belaweid!

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