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Lernen Latent Semantic Spaces and Prompt Activation | Zero-Shot Generalization Foundations
Zero-Shot and Few-Shot Generalization

bookLatent Semantic Spaces and Prompt Activation

Understanding how large language models (LLMs) generalize to new tasks without explicit training data requires you to grasp the concept of latent semantic spaces. These are high-dimensional vector spaces where LLMs encode their knowledge. Each token, phrase, or even abstract concept is mapped to a unique point or region in this space. The relationships between these points capture semantic similarity, analogy, and even logical structure. When you input a prompt, the model interprets it as a trajectory through this latent space, effectively "activating" regions that correspond to relevant knowledge or reasoning patterns. The prompt does not inject new information, but rather guides the model to retrieve and combine existing representations in novel ways.

Vector Arithmetic in Latent Spaces:
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In latent semantic spaces, concepts can be combined or transformed using vector arithmetic. For example, the vector difference between "king" and "man" added to "woman" often points toward "queen". This geometric property allows LLMs to perform analogical reasoning and compositional generalization.

Conditional Probability and Subspace Selection:
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When you provide a prompt, you are conditioning the model's output distribution on the context you specify. This is analogous to selecting a subspace within the larger latent space, where the model's probability mass is concentrated on knowledge relevant to your prompt.

Navigating High-Dimensional Spaces:
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Prompts act as coordinates or directions in this high-dimensional space, steering the model toward regions where relevant knowledge is densely encoded. The geometry of these spaces enables efficient retrieval and recombination of information for zero-shot generalization.

Note
Note

Prompting is not a mechanism for teaching the model new information. Instead, it serves as a tool for selecting and activating subspaces of pre-existing knowledge within the model's latent semantic space.

question mark

What is the primary function of a prompt in an LLM's latent semantic space?

Select the correct answer

War alles klar?

Wie können wir es verbessern?

Danke für Ihr Feedback!

Abschnitt 1. Kapitel 3

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Suggested prompts:

Can you explain what latent semantic spaces are in simpler terms?

How do LLMs use these spaces to answer questions they've never seen before?

Can you give an example of how a prompt activates regions in the latent space?

bookLatent Semantic Spaces and Prompt Activation

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Understanding how large language models (LLMs) generalize to new tasks without explicit training data requires you to grasp the concept of latent semantic spaces. These are high-dimensional vector spaces where LLMs encode their knowledge. Each token, phrase, or even abstract concept is mapped to a unique point or region in this space. The relationships between these points capture semantic similarity, analogy, and even logical structure. When you input a prompt, the model interprets it as a trajectory through this latent space, effectively "activating" regions that correspond to relevant knowledge or reasoning patterns. The prompt does not inject new information, but rather guides the model to retrieve and combine existing representations in novel ways.

Vector Arithmetic in Latent Spaces:
expand arrow

In latent semantic spaces, concepts can be combined or transformed using vector arithmetic. For example, the vector difference between "king" and "man" added to "woman" often points toward "queen". This geometric property allows LLMs to perform analogical reasoning and compositional generalization.

Conditional Probability and Subspace Selection:
expand arrow

When you provide a prompt, you are conditioning the model's output distribution on the context you specify. This is analogous to selecting a subspace within the larger latent space, where the model's probability mass is concentrated on knowledge relevant to your prompt.

Navigating High-Dimensional Spaces:
expand arrow

Prompts act as coordinates or directions in this high-dimensional space, steering the model toward regions where relevant knowledge is densely encoded. The geometry of these spaces enables efficient retrieval and recombination of information for zero-shot generalization.

Note
Note

Prompting is not a mechanism for teaching the model new information. Instead, it serves as a tool for selecting and activating subspaces of pre-existing knowledge within the model's latent semantic space.

question mark

What is the primary function of a prompt in an LLM's latent semantic space?

Select the correct answer

War alles klar?

Wie können wir es verbessern?

Danke für Ihr Feedback!

Abschnitt 1. Kapitel 3
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