2 min readfrom Machine Learning

Follow up: GPT-2's vocabulary as a hyperbolic tree — 32,070 tokens in a Poincaré ball you can fly through [P]

Our take

Explore the fascinating architecture of GPT-2's vocabulary with a unique visualization: a hyperbolic tree containing 32,070 tokens rendered within a Poincaré ball. This interactive experience, running directly on your phone, allows you to navigate the relationships between tokens through intuitive drag, pinch, and tap interactions. The structure reveals a natural "forest" of interconnected elements, best represented in hyperbolic space—a design that elegantly accommodates the vocabulary's complex similarity structure. Discover more on this topic with our article, "Kimi: Threat or menace?".
Follow up: GPT-2's vocabulary as a hyperbolic tree — 32,070 tokens in a Poincaré ball you can fly through [P]

The visualization of GPT-2’s vocabulary as a hyperbolic tree, a project born from a Reddit user’s dissatisfaction with a 2D projection, is a quietly profound development. It’s a testament to how even relatively simple explorations of existing data can reveal unexpected structures and offer new avenues for understanding. The fact that this interactive model runs on a phone is particularly striking; it democratizes access to a complex concept, allowing anyone to intuitively explore the relationships between 32,070 tokens. This echoes the spirit of projects like [Kimi: Threat or menace?] which highlight the rapid advancements and evolving landscape of AI models and their accessibility. The approach mirrors the ethos of tools like Prism, which, as detailed in [Prism accidentally leaked], are also pushing the boundaries of accessibility and ease of use within the machine learning ecosystem, albeit with different goals. Even the frustrations encountered in seemingly established workflows, as seen in [The qlora 2e-4 default is wrong under 10k samples and nobody talks about it], suggest the ongoing need for critical evaluation and nuanced understanding of model parameters and datasets.

What's truly remarkable is the lack of optimization or training involved in constructing this hyperbolic tree. It's a direct mapping of token embeddings, revealing an inherent structure—a "forest" of interconnected language units—that wouldn’t be apparent in a flattened representation. The use of hyperbolic space, where room grows exponentially with distance from the center, allows for a natural representation of hierarchies and relationships. This isn't about creating a *better* model; it's about visualizing an existing one in a way that reveals its underlying organization. The Möbius translation, the method used for navigating this space, further enhances the intuitive exploration, allowing users to “fly through” the vocabulary and understand the semantic connections between words in a visceral way. It’s a powerful demonstration of how spatial reasoning can illuminate the inner workings of complex AI systems.

The implications extend beyond simply understanding GPT-2. This project provides a compelling argument for exploring alternative visualization techniques for other large language models and their components. While current methods often focus on performance metrics and abstract representations, this hyperbolic tree offers a glimpse into the actual *structure* of language as learned by AI. It suggests that the way we represent and interact with these models could fundamentally change how we understand and leverage their capabilities. Imagine being able to visually navigate the knowledge graph of a large language model, tracing the connections between concepts and identifying potential biases or blind spots. This visualization also emphasizes that much of the "magic" of these models isn't necessarily about new algorithms but about the intelligent organization of existing data.

Ultimately, this project points towards a future where the inner workings of AI are not black boxes but explorable landscapes. It’s a call for more intuitive tools that allow us to understand and interact with these complex systems, moving beyond abstract metrics and towards a deeper, more embodied comprehension. The question remains: what other hidden structures within these models are waiting to be revealed through innovative visualization techniques, and how will this newfound understanding reshape our approach to AI development and deployment?

Follow up: GPT-2's vocabulary as a hyperbolic tree — 32,070 tokens in a Poincaré ball you can fly through [P]

GPT-2's vocabulary as a hyperbolic tree: 32,070 tokens inside a Poincaré ball that you can explore.

Link : https://aethereos.net/static/tinny66666.html

Link named after a reddit user disappointed with my 2D projection ...

It uses the same data as the flat map, GPT-2-small's raw token embeddings and nothing else, but lays them out in hyperbolic space, where tree structures naturally fit.

It runs on your phone. Drag to rotate, pinch to zoom, and tap any token to bring it to the center as the entire space shifts around it. This is a Möbius translation, the natural way to move through hyperbolic geometry. Tap neighbouring tokens to keep exploring.

Why hyperbolic? The vocabulary's similarity structure forms a forest: one giant tree with about 2,300 tokens, a few hundred smaller family trees, and around 6,700 isolated tokens with no close relatives. Trees don't fit well in flat space, but they embed naturally in hyperbolic space, where available room grows exponentially with distance from the center. No optimisation or training is involved. The layout is constructed exactly.

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