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Jan 26, 2025

Training large language models to reason in a continuous latent space – COCONUT Paper explained

AI Coffee Break with Letitia - Training large language models to reason in a continuous latent space – COCONUT Paper explained

The COCONUT paper introduces a novel approach for training large language models (LLMs) to reason using vectors instead of natural language tokens, termed Chain of Continuous Thought (CoCT). Traditional Chain-of-Thought (CoT) reasoning involves breaking down problems into step-by-step natural language explanations, which can be inefficient due to linguistic fluff and token limitations. COCONUT allows LLMs to perform reasoning in an unrestricted vector space, only translating vectors into words for the final answer. This method involves fine-tuning a pre-trained GPT-2 model to output and receive continuous thought vectors, bypassing the need for text tokenization at each reasoning step. Experiments showed that while COCONUT didn't outperform classical CoT in all tasks, it required fewer reasoning steps and computational resources, particularly excelling in tasks with complex reasoning graphs like ProsQA. However, the approach raises concerns about interpretability, as continuous vectors can represent multiple potential reasoning paths, complicating the understanding of the model's thought process. Despite this, COCONUT shows promise in enhancing AI's reasoning capabilities beyond language constraints, potentially improving performance in tasks requiring planning and exploration.

Key Points:

  • COCONUT replaces natural language tokens with vectors for reasoning, enhancing efficiency.
  • The model is trained to output and receive continuous thought vectors, reducing computational cost.
  • COCONUT excels in tasks with complex reasoning graphs, using fewer steps than classical CoT.
  • Interpretability is a challenge, as vectors can represent multiple reasoning paths.
  • The approach is promising for improving AI's reasoning capabilities beyond language constraints.

Details:

1. 📚 Introduction to COCONUT and Chain-of-Thought

  • COCONUT rethinks the concept of Chain-of-Thought by replacing words with vectors in a continuous latent space.
  • This approach allows Large Language Models (LLMs) to perform reasoning in an unrestricted vector space rather than being confined to language tokens.
  • COCONUT's vector-based method enhances the flexibility and potential of reasoning processes, offering significant improvements in handling complex language tasks.
  • This method can lead to more nuanced and accurate interpretations by LLMs, as they are not limited by discrete language token boundaries.

2. 🔍 Understanding CoT Reasoning in Language Models

  • CoT reasoning involves breaking down complex problems into step-by-step natural language explanations, allowing for a structured and clear problem-solving approach.
  • Each reasoning step is generated like normal text output by taking in tokenized text and producing the next token, emphasizing the sequential nature of thought processes.
  • The process operates in 'language space,' where each reasoning step is a text token, illustrating the integration of reasoning in linguistic form.
  • Many tokens are linguistic fluff, useful for fluency but not critical for reasoning, highlighting the balance between language fluency and reasoning precision.

3. 🔄 Transitioning from Words to Vectors: COCONUT's Approach

  • COCONUT allows models to think more freely by reasoning in vectors instead of words, enhancing processing efficiency.
  • Models translate vectors into words only for the final answer, maintaining continuity in thought and reducing processing steps.
  • Text tokens have limitations due to polysemy and linear sequences, whereas continuous vectors enable broader exploration by encoding multiple reasoning paths.
  • This approach provides a more direct way for models to process information, potentially improving reasoning and decision-making capabilities.

4. 🧠 How LLMs Generate Text Tokens

  • Text token generation in LLMs involves a linear layer mapping input to token probabilities, which is critical for predicting the next word in a sequence.
  • A variety of decoding algorithms, such as greedy search, beam search, and sampling, are used to select the next token based on these probabilities. Each algorithm has distinct characteristics: greedy search selects the most probable token, beam search explores multiple paths to optimize overall sequence probability, and sampling introduces randomness for diversity.
  • The generated token is fed back into the input sequence, a process repeated until the desired output length is achieved. This iterative loop is crucial for generating coherent and contextually relevant text.
  • Understanding these mechanisms is essential for optimizing LLM performance and tailoring output to specific applications, such as creative writing or structured data generation.

5. 🔗 COCONUT's Continuous CoT Training and Inference Process

5.1. Training Process of COCONUT

5.2. Inference Process of COCONUT

6. 📊 Experiments and Results: Coconut's Performance

  • Coconut used fewer CoT steps than classical CoT, which is significant since each token in CoT requires a full LLM forward pass, saving time and computation.
  • The unembedding layer in LLMs, a large matrix of size hidden dimensionality times vocabulary size (e.g., 2048 times 60,000), is costly; Coconut's approach spares compute and reaches answers faster.
  • On the ProntoQA dataset, Coconut achieved 99.8% accuracy using only 9 thinking vectors on average, compared to vanilla CoT's 98.8% accuracy with 92.5 tokens, indicating less computational resource usage by Coconut.
  • In a more complex dataset, ProsQA, Coconut achieved 97% accuracy with 14.2 CoT vectors on average, compared to vanilla CoT's 77.5% accuracy with 49.4 tokens, demonstrating superior efficiency and accuracy by Coconut.

7. 🔍 Interpretability and Future Directions for COCONUT

7.1. Interpretability of COCONUT

7.2. Future Directions for COCONUT

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