Episode #160

AI's Secret Language: Vectors, Embeddings & Control

Unlock AI's secret language! Discover how vectors and embeddings create a "semantic galaxy" for true understanding and control.

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AI's Secret Language: Vectors, Embeddings & Control

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Episode Overview

Ever wonder how AI truly 'understands' your complex prompts, going beyond simple keyword matching? In this episode, hosts Corn and Herman demystify the foundational concepts powering modern AI: vector databases and embeddings. Herman vividly explains how AI transforms words and ideas into numerical representations – vectors – that exist in a high-dimensional 'semantic galaxy,' enabling machines to grasp meaning and relationships rather than just individual words. This shift from keyword to contextual understanding is what makes intelligent search, personalized recommendations, and coherent LLM responses possible. The discussion further dives into critical parameters like `top_k` and `top_p`, revealing how these settings allow developers and advanced users to precisely control the diversity, creativity, and predictability of an AI's generated output. Tune in to unlock the hidden mechanics behind AI's seemingly intelligent interactions.

Unlocking AI's Mind: How Embeddings, Vector Databases, and Output Parameters Drive Modern Intelligence

In a recent episode of "My Weird Prompts," co-hosts Corn and Herman embarked on a deep dive into a topic that, on the surface, might seem abstract, but is absolutely foundational to how modern artificial intelligence truly functions: how AI "understands" the world. Prompted by their producer Daniel Rosehill, they explored the intricate mechanics behind vector databases, embeddings, semantic retrieval, and the crucial top_k and top_p parameters that shape AI's generated output.

Beyond Keywords: AI's Semantic Leap

Herman began by making a critical distinction: AI doesn't understand in the human sense, but rather mimics understanding by processing information in incredibly sophisticated ways. Corn, initially picturing "a giant spreadsheet full of numbers that somehow magically made ChatGPT sound smart," quickly learned that the reality is far more complex and ingenious. Herman clarified that while it does involve turning concepts into numbers, it's not a simple one-to-one mapping. Instead, it's about capturing the relationships and meaning of words and ideas within a high-dimensional mathematical space. He offered a compelling analogy: "Think of it less like a spreadsheet and more like a vast, invisible galaxy where every star is a word or idea, and their proximity to each other tells you how related they are in meaning."

This complex approach is necessary because traditional databases, while excellent at keyword searches, fall short when it comes to semantic understanding. Herman illustrated this by explaining that a keyword search for "apple" would only find documents containing that exact word. However, if one was looking for "fruit that grows on trees" and the document only mentioned "apples," "pears," and "oranges," a keyword search would likely miss the semantic connection. Modern AI, powered by these advanced techniques, can grasp that "apple" is a type of fruit, and "pear" is conceptually similar, going beyond mere word matching to contextual meaning. This allows AI to comprehend a prompt like "Tell me about cars that go fast" not just as a string of words, but as the concept of high-speed vehicles.

Embeddings: The Language of Meaning

At the heart of this semantic understanding are embeddings. Herman described an embedding as a numerical representation – a vector – that encapsulates the semantic meaning of any piece of data, be it text, an image, or an audio clip. These vectors are not random; they are generated by sophisticated embedding models, which are deep neural networks trained on colossal amounts of data. This training process involves tasks like predicting the next word in a sentence or filling in masked words, forcing the model to learn the intricate contextual relationships between words. For instance, by repeatedly seeing sentences like "The cat sat on the ___," the model learns that "mat" or "rug" are highly probable completions, and thus their vectors should be semantically close to "cat" and "sat."

The profound insight here is that proximity in this high-dimensional "galaxy" equals semantic similarity. The closer two vectors are in this space, the more related their underlying ideas or concepts. So, when an AI processes "cars that go fast," it generates a vector for that phrase and then searches for other vectors representing concepts like "sports cars," "race cars," "supercars," or even specific models like a "Bugatti Chiron" that are close to its query vector. This ability to capture nuanced meaning is what enables AI to respond intelligently, understanding "garments of an oceanic hue" even if the user only explicitly mentioned "blue shirt."

Vector Databases: The Semantic Engine Room

Once these powerful embeddings are created, they need a place to live and be efficiently queried. This is where vector databases come into play. Herman explained that these are specialized databases designed for the efficient storage, indexing, and querying of high-dimensional vectors. Unlike traditional databases optimized for structured data and exact matches, vector databases are built for similarity search. They employ advanced algorithms, such as Approximate Nearest Neighbor (ANN), to quickly locate vectors that are most similar to a given query vector, even when dealing with billions of stored vectors.

This infrastructure fundamentally shifts AI from a symbolic, rule-based understanding to a distributed, statistical one. The meaning isn't explicitly programmed; it emerges from the statistical patterns the models learn from vast datasets. This capability is the engine behind much of what we experience with modern AI, from intelligent search recommendations and personalized content feeds to the coherent and contextually relevant responses generated by large language models. They retrieve information not just based on what it says, but what it means.

(Following a brief, quirky sponsor message for an "Empathy Enhancer 5000")

Controlling AI's Voice: Top_K and Top_P

The discussion then moved to how these foundational elements directly influence the AI's actual responses, particularly from Large Language Models (LLMs) like ChatGPT. When an LLM generates an answer, it's not pulling text "out of thin air." It's using the embedded prompt to query its knowledge base for semantically relevant information and then crafting a response. This generation process is significantly controlled by parameters like top_k and top_p.

Herman patiently explained these parameters to Corn, who had previously "glazed over" at their mention.

top_k refers to the number of most probable next words an AI considers when generating text. Imagine, Herman proposed, that the AI has just produced part of a sentence and now needs to choose the next word. It calculates the probability for every possible word in its vocabulary. If top_k is set to 50, the AI will only consider the 50 most probable words. From this narrowed selection, it then picks one, often influenced by other settings like temperature. A small top_k leads to more conservative and predictable text, akin to an author only being allowed to use the 10 most common words. A larger top_k, conversely, allows for more diverse and potentially more creative or surprising responses, by expanding the pool of considered words.

top_p, also known as "nucleus sampling," offers a more dynamic approach. Instead of a fixed number, top_p considers the smallest set of most probable words whose cumulative probability exceeds a specified threshold p. To simplify this, Herman gave an example: if the AI is picking the next word after "The sky is...", and "blue" has a 90% probability, "gray" 5%,

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Episode #160: AI's Secret Language: Vectors, Embeddings & Control

Corn
Welcome, welcome, welcome to My Weird Prompts! I'm Corn, your perpetually curious co-host, and as always, I'm joined by the encyclopedic mind of Herman. Today we're diving deep into a topic sent in by our very own producer, Daniel Rosehill, that frankly, has been doing my head in a bit.
Herman
Indeed, Corn. It's a fascinating and absolutely foundational prompt. We're talking about the nuts and bolts of how AI actually understands the world, or at least how it processes information in a way that mimics understanding. And what most people don't realize is that without what we're discussing today, the AI tools we use every day – from search engines to large language models – simply wouldn't function with the intelligence we now expect.
Corn
Okay, 'mimics understanding,' I like that distinction, Herman. Because when Daniel first posed this prompt, he talked about "vector databases" and "embeddings" and "semantic retrieval" and my brain immediately pictured a giant spreadsheet full of numbers that somehow magically made ChatGPT sound smart. I mean, is it really that much more complicated than turning words into numbers?
Herman
Well, hold on, that's not quite right. While it does involve turning words and concepts into numbers, calling it "just" turning words into numbers significantly undersells the complexity and the ingenuity involved. It's not a direct, one-to-one mapping like 'cat = 1, dog = 2.' It's about capturing the relationships and meaning of those words and concepts in a high-dimensional mathematical space. Think of it less like a spreadsheet and more like a vast, invisible galaxy where every star is a word or idea, and their proximity to each other tells you how related they are in meaning.
Corn
Okay, a galaxy of words. That's a much cooler mental image than a spreadsheet. But why? Why go to all that trouble? Traditional databases have worked fine for decades, right? We just search for keywords and boom, information. Why do we need this whole new layer of complexity?
Herman
That's precisely the point, Corn. Traditional databases are excellent at keyword search. If you search for "apple," it will find every document with the word "apple." But what if you're looking for information about "fruit that grows on trees" and the document only mentions "apples," "pears," and "oranges"? A keyword search for "fruit" might work, but it wouldn't understand the semantic relationship between "apple" and "fruit." It wouldn't understand that "apple" is a type of fruit, or that a "pear" is conceptually similar.
Corn
So, it's about context and meaning, not just exact word matching. I think I'm starting to get it. So, when an AI reads my prompt, say, "Tell me about cars that go fast," it's not just looking for the words "cars" and "fast." It's understanding the concept of high-speed vehicles.
Herman
Exactly. And that's where embeddings come in. An embedding is a numerical representation – a vector – that captures the semantic meaning of a piece of text, an image, an audio clip, anything really. These vectors are generated by sophisticated models, called embedding models, which have been trained on vast amounts of data to understand how different concepts relate to each other. When you input "cars that go fast," the model creates a vector for that phrase. When it then searches its database, it's not looking for an exact text match. It's looking for other vectors – representing things like "sports cars," "race cars," "supercars," or even specific models like a "Bugatti Chiron" – that are close to your input vector in that high-dimensional space.
Corn
So, proximity in this "galaxy" equals semantic similarity. The closer the vectors, the more related the ideas. That's actually pretty brilliant. But how does it learn those relationships? Is it like, it reads a million books and figures out that "apple" often appears near "fruit" and "tree" and "eat"?
Herman
More or less, but on a massive scale and with far more sophistication. These embedding models are deep neural networks. They learn to map words, phrases, or even entire documents into these numerical vectors. The training process involves tasks like predicting the next word in a sentence, or filling in a masked word, which forces the model to learn the contextual relationships between words. For example, if it sees "The cat sat on the ___," it learns that "mat" or "rug" are highly probable, and therefore, their vectors should be close to "cat" and "sat."
Corn
That's a lot more than just assigning a number. So, the vectors aren't random; they're packed with learned meaning. And then, once you have all these vectors, you need somewhere to put them, right? That's where vector databases come in.
Herman
Precisely. A vector database is a specialized type of database designed to efficiently store, index, and query these high-dimensional vectors. Unlike traditional databases which are optimized for structured data and exact matches, vector databases are optimized for similarity search. They use algorithms like Approximate Nearest Neighbor, or ANN, to quickly find vectors that are closest to a given query vector, even among billions of stored vectors.
Corn
ANN, wow. So they're basically super-fast matchmakers for concepts. This makes sense for why AI can sometimes surprise you with its ability to understand implied meaning, not just explicit keywords. It’s not just looking for "blue shirt," it’s looking for "clothing that is a shade of cerulean."
Herman
Or even "garments of an oceanic hue." The nuance is incredibly important. This ability to capture semantic meaning is what powers so much of what we experience with modern AI: intelligent search recommendations, personalized content feeds, even the coherent and contextually relevant responses from large language models. They retrieve information based on what it means, not just what it says.
Corn
Okay, I think I'm getting a handle on embeddings and vector databases. It's turning complex ideas into numeric "coordinates" and then finding other ideas with similar coordinates. That's a truly different way of thinking about data.
Herman
It fundamentally shifts from a symbolic, rule-based understanding to a distributed, statistical one. The meaning isn't explicitly programmed; it emerges from the statistical patterns in the data.
Corn
Alright, Herman, you've convinced me that there's more to this than a spreadsheet. But before we get too deep into the nitty-gritty, let's take a quick break for a word from our esteemed sponsor.

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Herman
...Right. Well, thank you, Larry, for that... unique take on understanding. Anyway, where were we? Ah, yes, the sheer power of semantic retrieval.
Corn
And how this all ties into the AI's actual responses. So, when an LLM like ChatGPT gives me an answer, it's not just generating text out of thin air. It's pulling in information based on these vector similarities, right? And then crafting a response from that.
Herman
Correct. When you give an LLM a prompt, that prompt is first embedded into a vector. The LLM then uses that vector to query its internal knowledge base, which is often stored in a form that leverages vector-based similarity, or it uses the vector to guide its generation process by predicting the most semantically relevant next words. This is where parameters like top_p and top_k become incredibly important in controlling the AI's output.
Corn
Ah, top_p and top_k. Daniel mentioned those in his prompt, and I just glazed over. What do they even mean, and how do they relate to these vectors?
Herman
Excellent question. They're both parameters that control the diversity and creativity of the AI's generated text, primarily by influencing how the AI chooses the next word in a sequence. Let's start with top_k.
Corn
Okay, top_k.
Herman
Imagine the AI has just generated part of a sentence, and now it needs to decide what word comes next. It calculates the probability for every possible word in its vocabulary. If top_k is set to, say, 50, the AI will only consider the 50 most probable next words. It then picks one of those 50 based on a combination of probability and other factors like temperature settings.
Corn
So, top_k narrows down the choices to the K most likely options. If K is small, the AI is very focused and predictable. If K is large, it has more options and can be more creative or surprising. Is that it?
Herman
Precisely. A small top_k leads to more conservative, predictable text. A large top_k allows for more diverse and potentially less coherent responses. It's like telling an author, "You can only use the 10 most common words in English for your next sentence," versus "You can use any of the 10,000 most common words."
Corn
Got it. So, top_k is about the number of choices. What about top_p then?
Herman
top_p, also known as "nucleus sampling," is a bit more nuanced. Instead of picking a fixed number of top words, top_p considers the smallest set of most probable words whose cumulative probability exceeds a certain threshold p.
Corn
Okay, slow down, Herman. "Cumulative probability exceeds a certain threshold p"? That sounds like a statistics exam question. Give me an example.
Herman
Right. Let's say the AI is trying to pick the next word after "The sky is..." It calculates probabilities for "blue" (90%), "gray" (5%), "red" (3%), "green" (1%), "purple" (0.5%), and so on. If top_p is set to 0.95, it will keep adding words to its consideration set until their probabilities sum up to at least 0.95. So, it would consider "blue" (0.90), then add "gray" (0.90 + 0.05 = 0.95). It would then pick from "blue" or "gray." It wouldn't even look at "red," "green," or "purple" in this scenario, because the cumulative probability has already hit the threshold with "blue" and "gray."
Corn
I see! So, top_p dynamically adjusts the number of words it considers. If there's one overwhelmingly probable word, it might only consider that one. If there are many words with similar, but lower, probabilities, it might consider a larger set. So top_p gives you more flexibility and often generates more natural-sounding text than a fixed top_k.
Herman
You've got it. It's often preferred for generating more human-like text because it allows for a more varied selection of words while still staying within a reasonable probability distribution. It's like saying, "Consider all the words that are really good options, but don't bother with the long shots."
Corn
But wait, Herman, for most people just using ChatGPT, does knowing these parameters really change how I use it? I mean, I type in my prompt, I get my answer. It's usually pretty good. Are we overcomplicating something here for the average user?
Herman
That's a fair question, Corn, and it depends on your goal. For the average user simply querying for information, perhaps not directly. But for developers, researchers, or anyone trying to fine-tune the behavior of an AI, understanding top_p and top_k is crucial. If you want consistently factual, conservative answers, you might tune these parameters to be tighter. If you want creative writing or brainstorming, you'd loosen them. It's about control and understanding the underlying mechanics that produce the output you're interacting with. It's the difference between driving a car and understanding how the engine works.
Corn
Okay, that analogy helps. It gives you control under the hood, even if you don't necessarily need to be under the hood for a quick trip to the grocery store. I can see why knowing this is important for building reliable AI tools.
Herman
Indeed. These parameters, along with temperature, repetition penalties, and others, are the levers that allow us to sculpt the AI's personality and purpose. Without them, every AI would just produce the most statistically probable, and often bland, response every single time. It's the difference between a textbook and a novel.
Corn
Hmm, a textbook versus a novel... that's a good way to put it. This is definitely more intricate than I initially thought.
Corn
And speaking of intricate, we've got a caller on the line. Go ahead, you're on the air.

Jim: Yeah, this is Jim from Ohio. I've been listening to you two go on about this 'vector' stuff and 'top-k, top-p.' And I gotta say, you're making a mountain out of a molehill. This sounds like fancy jargon for what we always called 'looking things up.' My neighbor Gary, he's always using fancy words for simple things too, like 'repurposing' when he just means 'reusing his old coffee cans for screws.' Anyway, you guys are just overcomplicating it. In my day, we just used an index card and a good memory. And if you wanted to know about fast cars, you looked up 'fast cars.' No vectors needed.
Herman
Well, Jim, I appreciate the call and the perspective. It's true that at a high level, we are indeed 'looking things up.' But the method of looking things up has profoundly changed. If you were searching your index cards for "vehicles with high acceleration," you might miss the card that simply said "Ferrari" or "Lamborghini" if those specific terms weren't on your search list. Vector search, or semantic retrieval, would find those cards because it understands the meaning of "high acceleration" aligns with "Ferrari."

Jim: Eh, I don't buy it. Sounds like more work for a fancy answer. And anyway, who needs a computer to tell you about cars? You go to a dealership. That's how it works. Also, my cat Whiskers got into a fight with a squirrel this morning, so I'm already in a mood. But seriously, this is just academic fluff, you ask me.
Corn
Jim, I hear your skepticism, and it's a natural reaction to new technology. But think about how much information is out there now. No index card system, or even human memory, can keep up. These methods allow AI to sift through petabytes of data and find relevant information that a simple keyword search would never uncover. It’s not just about finding what you typed, but finding what you meant.

Jim: Meaning, schmeaning. Just give me the facts. And maybe a good strong cup of coffee, this one Whiskers ruined. You guys are just trying to make it sound more complex than it is to justify your fancy computers.
Herman
Jim, it's not about making it complex for complexity's sake. It's about enabling capabilities that were previously impossible. Imagine a medical AI trying to find similar patient cases for a rare disease. A keyword search might miss subtle symptoms described in slightly different language. A vector search can find those semantically similar cases, potentially saving lives. It's about precision and depth of understanding.

Jim: Yeah, well, I'll believe it when I see it. Anyway, my potatoes are boiling over. Thanks for nothing, I guess.
Corn
Thanks for calling in, Jim! Always a pleasure to hear from you. Alright, Herman, Jim makes a fair point from a certain perspective. But I think you've outlined why this is so much more than "looking things up."
Herman
He's not entirely wrong that at its core, it's about information retrieval. But the quality and nature of that retrieval are fundamentally different, and that enables entirely new applications.
Corn
So, let's talk practical takeaways for our listeners. Beyond understanding the deep mechanics, what can we actually do with this knowledge, or how does it impact us day-to-day?
Herman
For starters, simply understanding that AI operates on semantic meaning rather than just keywords can significantly improve how you interact with it. When you're prompting an LLM, try to be descriptive about the concept or meaning you're looking for, rather than just using rigid keywords. Phrase your prompts in a way that conveys the underlying intent.
Corn
So instead of "Find me blue shirts," maybe "Show me apparel of a cerulean hue for formal occasions." You know, really lean into the meaning.
Herman
Exactly. And for those who are building or considering building AI applications, understanding vector databases is no longer optional. It's the backbone for truly intelligent search, recommendation engines, content moderation that understands nuance, and even for building personal AI assistants that genuinely grasp your preferences.
Corn
And the top_p, top_k parameters – for anyone playing with AI models, perhaps via an API or a local setup, tweaking those can dramatically change the AI's "personality." If you want a factual, no-nonsense chatbot, you'd set them tight. If you're looking for creative writing or brainstorming, you'd open them up. It puts you in the driver's seat of the AI's generative style.
Herman
It gives you authorship over the AI's output. You're not just accepting what it gives you; you're shaping how it gives it to you. That's a powerful tool for customization and control.
Corn
I think for me, the biggest takeaway is that AI's "understanding" isn't magic. It's incredibly sophisticated math and statistics designed to represent meaning numerically. That makes it feel less like a black box and more like a very clever, complex system.
Herman
And knowing that empowers you. It allows you to anticipate its strengths and its limitations. If the embedding model wasn't trained on your specific domain, its semantic understanding in that area might be weaker. If you set top_p too low, it might miss out on truly novel, but slightly less probable, creative ideas.
Corn
And conversely, setting it too high might lead to incoherent gibberish. It's a balance. This has been a truly enlightening, and honestly, a mind-expanding discussion, Herman. I actually feel like I have a grasp on these concepts now.
Herman
My pleasure, Corn. It's a field that continues to evolve at an incredible pace, with new embedding techniques and vector database optimizations emerging constantly. The future will likely see even more sophisticated ways of capturing and querying multi-modal data – combining text, images, and audio all within these rich vector spaces.
Corn
Fascinating. So, the "galaxy" of meaning is only getting bigger. A huge thank you to Daniel for sending in this challenging but utterly crucial prompt. It’s definitely given us a lot to chew on.
Herman
Indeed. A truly pivotal topic for anyone interested in the inner workings of AI.
Corn
Absolutely. And that wraps up another episode of My Weird Prompts! We hope you enjoyed our dive into the world of vector databases and semantic understanding. You can find "My Weird Prompts" wherever you get your podcasts, including Spotify, Apple Podcasts, and many more.
Herman
Join us next time as we unravel another one of life's more peculiar, AI-generated, or human-curated questions.
Corn
Until then, stay curious, and keep those weird prompts coming!
Herman
Goodbye everyone.
Corn
See ya!

This episode was generated with AI assistance. Hosts Herman and Corn are AI personalities.