Category: Uncategorized
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Inside One Transformer Block – A deeper Frank-said / GPT-said dialogue on how embedding dimensions, neuron weights, and attention heads interact mathematically
Frank said: All right. Let’s go one layer deeper. I want to understand what is happening inside one transformer block. Not in vague terms. I want to know how the embedding dimensions, the neuron weights, and the attention heads actually interact mathematically. GPT said: Good. Let’s go inside the machine. A transformer block is basically…
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Vectors, Tensors, and the Geometry of Thought – A Frank-said / GPT-said dialogue on rank, shape, latent space, and why attention works on tensors instead of isolated vectors
Frank said: So let me see if I have this straight. When an LLM creates an embedding, it turns a token into a multidimensional vector. But because a vector is really a rank-1 tensor, that means these LLM vectors are really tensors. GPT said: Yes. That is exactly right. A vector is not separate from…
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mining bitcoin from home utility usage
Here is a clean way to think about it: You are describing a home energy-to-heat conversion system where ordinary household loads are redesigned so that, whenever they consume electricity, they first perform Bitcoin hashing, and then dump the resulting electrical losses as the useful heat the appliance already needed to make. So instead of: grid…
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How an LLM Transforms the World into Semantic Geometry – gpt 5.4 lecture
Good afternoon, everyone. Today I want to take you into one of the strangest and most important ideas in modern artificial intelligence: the idea that a large language model does not deal with language the way we do. It does not begin with meanings in the human sense. It begins with symbols, converts those symbols…
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The Illusion of Thinking: Understanding the Strengths and Limitations of Reasoning Models via the Lens of Problem Complexity – lecture
Welcome, everyone. Please take your seats. Today, we are going to dissect a fascinating paper by researchers at Apple titled, “The Illusion of Thinking: Understanding the Strengths and Limitations of Reasoning Models via the Lens of Problem Complexity”. Opening Hook When you watch a modern Large Reasoning Model (LRM) output a “chain-of-thought”—step-by-step logic, reflection, self-correction—it…
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The Victorian Supercomputers – lecture
Welcome, class. Please take your seats. Today, we are going to explore a conceptual leap in artificial intelligence that challenges everything we think we know about how machines communicate. Opening Hook: The Victorian Supercomputers Imagine two state-of-the-art supercomputers. They are capable of processing trillions of calculations per second, analyzing complex geometries, and modeling fluid dynamics.…