Chapter 9
Embeddings
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Chapter purpose This chapter explains how AI systems convert words, sentences, documents, images, and audio into numerical vectors called embeddings. Embeddings are the foundation of semantic search, recommendation systems, RAG applications, similarity matching, fraud detection, and many modern AI features. |
In the previous chapters, you learned how LLMs understand prompts, use context, and produce responses. But an important question remains: how does a computer understand meaning? A computer does not naturally understand words like a human. It understands numbers. Embeddings are the bridge between human meaning and machine calculation.
An embedding is a numerical representation of something: a word, sentence, paragraph, document, image, audio clip, customer profile, product, or even a user behavior pattern. Once information is converted into embeddings, computers can compare meaning, find similar items, recommend content, detect unusual behavior, and retrieve relevant knowledge for LLM applications.
This chapter is one of the most important chapters for understanding modern AI application architecture. Embeddings are used in semantic search, vector databases, retrieval-augmented generation, recommendation systems, duplicate detection, clustering, personalization, fraud analysis, and intelligent document search.
An embedding is a list of numbers that represents the meaning or important features of some data. The data can be text, image, audio, video, tabular data, or user behavior. The list of numbers is called a vector. The model that creates this vector is called an embedding model.
For example, the word “car” may be converted into a vector like [0.12, -0.45, 0.88, 0.31, ...]. The actual vectors used by real AI models are much longer and may contain hundreds or thousands of numbers. These numbers do not have simple human-readable meanings individually. But together, they capture patterns learned from massive amounts of data.
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Simple definition Embedding = meaning converted into numbers. |
Imagine you are arranging books in a library. Books about banking should be near other banking books. Books about machine learning should be near other machine learning books. Books about cooking should be far away from books about car engines. Embeddings help computers place related information close together in a mathematical space.
This mathematical space is often called vector space or embedding space. In this space, similar meanings are close and different meanings are far apart.
Suppose you meet three people: a doctor, a nurse, and a car mechanic. Even if you do not know their full biography, you understand that a doctor and a nurse are more related to each other than a doctor and a mechanic. Why? Because doctor and nurse both belong to healthcare. Embeddings help a computer make a similar judgment by comparing numerical representations.
A user searches an internal knowledge base using this query: “How can I take paid leave?” The company document may not contain the exact words “take paid leave.” It may contain “employees can apply for earned leave through the HR portal.” Keyword search may fail because the words are different. Embedding search can still find the document because “paid leave” and “earned leave” are semantically related.
Computers store text as characters and bytes, but machine learning models need numbers to perform calculations. A model cannot directly calculate the meaning of the sentence “I want to close my bank account” unless that sentence is represented numerically.
Traditional software often works with exact rules. For example, if text contains the word “refund,” send it to the refund team. But AI systems need to go beyond exact words. They need to understand meaning, intent, similarity, and context. Embeddings make this possible.
|
Human data |
Computer-friendly form |
Example AI use |
|
Text sentence |
Numerical vector |
Find similar questions, retrieve documents, classify tickets |
|
Image |
Visual feature vector |
Find similar products, identify objects, search by image |
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Audio |
Sound feature vector |
Speaker similarity, music search, speech analysis |
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Customer profile |
Behavior vector |
Recommendation, fraud detection, personalization |
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Document |
Document vector |
Semantic search, RAG retrieval, duplicate detection |
A simple program may treat “car,” “vehicle,” and “automobile” as three unrelated strings. An embedding model learns that these words often appear in similar contexts and therefore places them close together in vector space. This is why embeddings are useful for search and recommendation.
The same idea works for longer text. “How do I reset my password?” and “I forgot my login password” have different words but similar meaning. Their embeddings should be close to each other.
A vector is simply a list of numbers. In embeddings, each item is represented as a vector. The number of values in the vector is called the dimensionality. For example, a 3-dimensional vector has 3 numbers. A real embedding model may produce 384, 768, 1,536, or more dimensions depending on the model.
Example simple vectors
car -> [0.90, 0.10, 0.20]
vehicle -> [0.88, 0.12, 0.25]
hospital -> [0.10, 0.85, 0.30]
doctor -> [0.15, 0.90, 0.28]
banana -> [0.05, 0.20, 0.95]
In this simplified example, “car” and “vehicle” have similar numbers, so they are close. “doctor” and “hospital” have similar numbers, so they are close. “banana” is different from both vehicle-related and hospital-related words.
Real vectors are not manually created like this. They are learned by an embedding model from huge amounts of training data. The model learns patterns of usage, context, relationships, and features.
Beginners often ask: does the first number mean “vehicle-ness” and the second number mean “medical-ness”? In real embedding models, individual dimensions are usually not so simple. The meaning is distributed across many dimensions. A single number is not important by itself. The full pattern of numbers is important.
Semantic meaning means the meaning of the text, not just the exact words. When two sentences have similar meaning, their embeddings should be near each other even if the words are different.
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Text A |
Text B |
Are they semantically similar? |
Why? |
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I forgot my password. |
How do I reset my login credentials? |
Yes |
Both are about password/login recovery. |
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How can I apply for leave? |
Where do I submit vacation request? |
Yes |
Both are about leave application. |
|
My credit card is blocked. |
My debit card is not working. |
Partially |
Both are card problems, but product type differs. |
|
The server is down. |
The employee wants salary revision. |
No |
One is IT infrastructure, the other is HR/payroll. |
This ability is the reason embeddings are used in AI search systems. Instead of searching only for exact words, the system searches for meaning.
Once text or other data has been converted into vectors, we can compare vectors. Similarity tells us how close two vectors are in meaning. Distance tells us how far apart they are. In most AI applications, we want to find the most similar items.
For example, if a user asks “How do I claim medical insurance?”, a semantic search system converts the query into a vector and compares it with vectors of all documents. Documents about health insurance claim process should have high similarity. Documents about laptop purchase policy should have low similarity.
User query: "How do I reset my password?"
Possible documents:
1. Password reset guide -> similarity 0.92
2. Login troubleshooting steps -> similarity 0.84
3. Leave policy document -> similarity 0.21
4. Company holiday calendar -> similarity 0.10
Top result: Password reset guide
The actual similarity numbers depend on the embedding model and similarity method. But the concept is simple: higher similarity means more related meaning.
If two vectors are very close, their distance is small. If they are very different, their distance is large. Many vector databases use distance or similarity internally to find nearest neighbors. Nearest neighbors are the most similar items in vector space.
Cosine similarity is one of the most commonly used methods to compare embeddings. It measures the angle between two vectors. If two vectors point in a similar direction, they are considered similar. If they point in very different directions, they are considered different.
You do not need deep mathematics to use cosine similarity. The intuition is enough for most application development: cosine similarity checks whether two vectors are pointing toward the same meaning.
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Cosine similarity intuition Similarity close to 1.0 = very similar meaning. |
Let us use a very simplified 2-dimensional example. Real embeddings have many more dimensions, but this example helps understand the idea.
Sentence A: "car" -> [1.0, 0.1]
Sentence B: "vehicle" -> [0.9, 0.2]
Sentence C: "hospital" -> [0.1, 1.0]
car and vehicle point in a similar direction.
car and hospital point in a different direction.
Therefore, car is more similar to vehicle than hospital.
In real systems, cosine similarity is calculated automatically by libraries or vector databases. As an application developer, you mostly need to know when and why it is used.
An embedding model is an AI model that converts input data into embeddings. The input can be text, image, audio, or other data. The output is a vector.
Embedding model flow
Input text/document/image/audio
|
v
Embedding Model
|
v
Vector: [0.12, -0.04, 0.88, ...]
Different embedding models are trained for different purposes. Some are good for general text similarity. Some are optimized for search. Some are multilingual. Some are designed for code. Some are designed for images. Choosing the correct embedding model is important for search quality.
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Question |
Why it matters |
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Is the content English, Hindi, German, or multilingual? |
A multilingual embedding model may be required. |
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Is the content general text, code, legal, medical, or financial? |
Domain-specific text may need stronger or specialized models. |
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Is the application search, clustering, recommendation, or classification? |
Different models perform better for different tasks. |
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What is the vector dimension? |
Higher dimension may capture more detail but costs more storage and compute. |
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Will the model run locally or through an API? |
This impacts cost, privacy, latency, and operations. |
A sentence embedding represents the meaning of a full sentence. It is more useful than word-level matching because the meaning of a sentence depends on all words together.
For example, “The bank is closed today” and “The financial institution is not open today” are similar. A sentence embedding model should produce similar vectors for these sentences.
Sentence: "The customer wants to reset the password."
Embedding: [0.22, -0.10, 0.64, 0.03, ...]
Sentence: "The user forgot the login credentials."
Embedding: [0.20, -0.12, 0.60, 0.06, ...]
These vectors are close because the meaning is similar.
Sentence embeddings are useful for FAQ matching, ticket classification, duplicate question detection, and chatbot retrieval.
A document embedding represents a larger piece of text such as a paragraph, page, article, policy document, contract, product description, or knowledge base article. Document embeddings are heavily used in semantic search and RAG systems.
However, very long documents are usually not embedded as one single vector. Long documents are split into smaller chunks. Each chunk is embedded separately. This makes retrieval more accurate because the system can find the exact relevant part of the document instead of retrieving the entire document.
Full document: HR Policy Manual
Chunk 1: Leave policy
Chunk 2: Work from home policy
Chunk 3: Medical insurance policy
Chunk 4: Travel reimbursement policy
Each chunk is converted into a separate embedding.
When user asks about medical claims, Chunk 3 is retrieved.
Document embeddings are the foundation of enterprise document search. They allow AI systems to search inside PDFs, DOCX files, HTML pages, help articles, and internal manuals.
Image embeddings represent the visual meaning or features of an image. Instead of comparing image filenames or tags, the system compares visual patterns. Image embeddings are used in visual search, product recommendation, duplicate image detection, medical imaging, and content moderation.
For example, if a user uploads a photo of a blue running shoe, an image embedding model can find visually similar shoes in an e-commerce catalog. It does not need the user to type the exact product name.
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Use case |
How image embeddings help |
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E-commerce visual search |
Find similar products from an uploaded image. |
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Manufacturing defect detection |
Compare product images against normal patterns. |
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Healthcare image analysis |
Represent scans or images for similarity and classification workflows. |
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Content moderation |
Find visually similar unsafe or restricted content. |
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Duplicate detection |
Identify repeated or near-duplicate images. |
Audio embeddings represent sound patterns in numerical form. They can capture features such as speaker characteristics, tone, rhythm, music style, background noise, or speech patterns. Audio embeddings are useful in speech recognition, speaker identification, music recommendation, call-center analysis, and audio search.
For example, a call-center system may convert customer calls into audio embeddings and identify calls that sound similar to previous complaint patterns. A music app may use audio embeddings to recommend songs that sound similar, even if they belong to different artists.
Let us understand embeddings through a simple semantic example. The words “car” and “vehicle” are not the same string. A keyword search looking only for “car” may not match “vehicle.” But humans understand that a car is a type of vehicle. Embeddings help a computer capture this relationship.
Keyword matching:
Query: car
Document text: vehicle insurance policy
Result: May not match because "car" is not present.
Embedding matching:
Query embedding for "car" is close to document embedding for "vehicle insurance policy".
Result: The document can be retrieved because the meaning is related.
This is very useful in insurance, automobile support, product search, and customer service. A customer may use one word while the company document uses another word. Embeddings reduce this vocabulary mismatch problem.
The words “doctor” and “hospital” are different, but they are semantically related. A doctor works in healthcare, and hospitals are healthcare institutions. An embedding model trained on large text data can learn that these words often appear in related contexts.
doctor -> close to: hospital, nurse, clinic, patient, medicine
hospital -> close to: doctor, clinic, ward, patient, emergency
The model learns relationships from usage patterns in text.
In a healthcare knowledge assistant, a user may ask “Which doctor should I consult for chest pain?” The system may retrieve documents about emergency care, cardiology, hospital appointment process, and patient triage, even if the exact phrase is not present.
The following diagram shows the basic flow used in many AI applications that rely on embeddings.
+----------------------+
| Raw Data |
| Text / PDF / Image |
+----------+-----------+
|
v
+----------------------+
| Pre-processing |
| Clean, split, tag |
+----------+-----------+
|
v
+----------------------+
| Embedding Model |
| Convert to vectors |
+----------+-----------+
|
v
+----------------------+
| Vector Store / DB |
| Save vectors + meta |
+----------+-----------+
|
User Query |
+-----------------+
|
v
+----------------------+
| Query Embedding |
| Convert query vector |
+----------+-----------+
|
v
+----------------------+
| Similarity Search |
| Find nearest vectors |
+----------+-----------+
|
v
+----------------------+
| Relevant Results |
| Documents / items |
+----------------------+
This same pattern appears again in semantic search, vector databases, RAG, recommendation systems, and intelligent document retrieval.
Keyword matching searches for exact words or close lexical matches. Embedding matching searches for semantic meaning. Both are useful, but they solve different problems.
|
Aspect |
Keyword matching |
Embedding matching |
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Search basis |
Exact words, phrases, and sometimes synonyms |
Meaning and semantic similarity |
|
Example query |
password reset |
I cannot access my account |
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Best for |
Exact IDs, names, codes, product numbers, compliance terms |
Natural language questions, similar meaning, concept search |
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Weakness |
Fails when words differ |
May retrieve related but not exact content |
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Speed |
Very fast in traditional search engines |
Fast with vector indexes, but requires embeddings |
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Explainability |
Easy to explain because matched words are visible |
Harder because similarity is numerical |
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Common tools |
SQL LIKE, Elasticsearch keyword search, full-text index |
Vector DB, FAISS, pgvector, Chroma, Pinecone |
|
Best enterprise approach |
Use keyword search for exact filters |
Use semantic search for meaning and discovery |
Keyword search is better when the user is searching for an exact value: invoice number, employee ID, policy number, bank account number, ticket ID, product SKU, legal clause number, or exact error code. In such cases, semantic similarity is not enough. Exact matching is required.
Embedding search is better when the user asks a natural language question and does not know the exact words used in the source document. It is also useful when the same meaning can be expressed in many ways.
In production systems, many teams use hybrid search. Hybrid search combines keyword search and embedding search. For example, a banking assistant may use keyword filters for product type and date, and semantic search to understand the customer question.
Hybrid search example
User query: "How can I increase my credit card limit?"
Keyword filter: product_type = credit_card
Semantic search: find documents related to limit enhancement, eligibility, salary proof, credit score
Result: more accurate than keyword or semantic search alone
Semantic search is one of the most common uses of embeddings. In a semantic search system, every document or document chunk is converted into an embedding and stored. When a user searches, the query is also converted into an embedding. The system compares the query vector with document vectors and returns the closest results.
User query: "Can I take leave during probation?"
Retrieved chunks:
1. Probation policy - leave eligibility during probation
2. HR leave policy - earned leave rules
3. Employee handbook - manager approval process
The exact words may be different, but the meaning is related.
Recommendation systems suggest items that are similar to something the user likes or needs. Embeddings can represent products, courses, movies, songs, articles, jobs, candidates, or users. The system recommends items with similar embeddings.
For example, if a student is learning Python basics, an education platform can recommend beginner-friendly Python projects, data analysis tutorials, and AI foundation lessons. If a customer buys a running shoe, an e-commerce system can recommend socks, sportswear, or similar shoes.
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Recommendation domain |
What can be embedded? |
Example recommendation |
|
Education |
Courses, lessons, student interests |
Recommend “Python for AI Beginners” after “Python Basics.” |
|
E-commerce |
Products, reviews, images, user behavior |
Recommend similar shoes or matching accessories. |
|
Streaming |
Movies, songs, user listening history |
Recommend similar genre or mood. |
|
Jobs |
Resume, job description, skills |
Recommend matching job openings. |
|
Knowledge portals |
Articles, search history, questions |
Recommend related troubleshooting articles. |
Fraud detection often depends on identifying unusual patterns. Embeddings can represent customer behavior, transaction patterns, device behavior, location patterns, or text from claims and complaints. The system can compare a new pattern with known normal and suspicious patterns.
For example, a transaction may be represented using features such as amount, merchant type, location, time, device, customer history, and behavior sequence. The embedding can help detect whether the new transaction is similar to previous fraud patterns or very different from the customer’s normal behavior.
Fraud detection intuition
Normal customer pattern: small grocery transactions near home
New transaction: high-value electronics purchase in another country
The new transaction embedding may be far from the normal behavior embedding.
This distance can trigger a risk score or manual review.
Embeddings alone do not replace fraud rules or supervised models. In real banking systems, embeddings may be combined with rule engines, ML models, transaction monitoring, risk scoring, and human investigation.
Document retrieval means finding the right document or the right part of a document for a user query. This is essential for RAG applications. A RAG system cannot answer from private company documents unless it can first retrieve relevant content. Embeddings make that retrieval possible.
Consider a technical support chatbot. It has access to thousands of support articles. When a user says “VPN disconnects after password change,” the system should retrieve articles about VPN credentials, password reset, multi-factor authentication, and network troubleshooting. It should not retrieve unrelated articles about laptop battery or salary slips.
Documents -> Chunking -> Embeddings -> Vector Database
^
|
User Query -> Query Embedding -> Similarity Search
|
v
Relevant Chunks -> LLM Answer
The following pseudo-code shows how an embedding-based search application works conceptually. This is not tied to a specific library. The goal is to understand the flow.
documents = [
"Employees can apply for earned leave after manager approval.",
"To reset your password, open the self-service portal.",
"Medical insurance claims must be submitted with hospital bills.",
]
# Step 1: Convert documents into embeddings
document_vectors = embedding_model.embed(documents)
# Step 2: Store vectors with original text
vector_db.store(vectors=document_vectors, texts=documents)
# Step 3: User asks a question
query = "How do I claim hospital expenses?"
# Step 4: Convert query into embedding
query_vector = embedding_model.embed(query)
# Step 5: Find most similar document
results = vector_db.search(query_vector, top_k=2)
# Step 6: Return relevant content
print(results)
The most relevant result should be the medical insurance claim document because “hospital expenses” and “medical insurance claims” are semantically related.
|
Business area |
Embedding use case |
Example |
|
Customer support |
Find similar tickets and knowledge articles |
Route “VPN not working after password reset” to Network or Security team. |
|
Banking |
Search policy, detect similar complaints, support fraud analysis |
Retrieve KYC rules or detect unusual transaction patterns. |
|
Education |
Recommend lessons and match questions to topics |
Suggest algebra practice to a student weak in equations. |
|
Healthcare |
Search medical knowledge and similar patient notes with controls |
Find care guidelines related to symptoms, with human review. |
|
HR |
Search employee policies and benefits |
Answer questions about leave, probation, insurance, reimbursement. |
|
Legal |
Retrieve relevant clauses and similar cases |
Find contract clauses related to termination and liability. |
|
E-commerce |
Product search and recommendation |
Find similar products from text or images. |
|
IT operations |
Incident similarity and root cause lookup |
Find previous incidents similar to current server error. |
|
Mistake |
Why it causes problems |
Better approach |
|
Using embeddings for exact IDs |
Semantic similarity is not reliable for exact values like invoice numbers. |
Use exact keyword or database filters. |
|
Embedding very large documents as one vector |
Important details may be lost. |
Split documents into meaningful chunks. |
|
Poor chunking strategy |
Retrieved text may be incomplete or irrelevant. |
Use chunk size and overlap based on document type. |
|
Ignoring metadata |
Search results may be semantically related but from wrong department or old version. |
Store source, date, department, access level, version. |
|
Using the wrong embedding model |
Search quality may be poor. |
Test multiple models with real queries. |
|
Not evaluating retrieval quality |
System may look good in demos but fail in production. |
Create test queries and expected results. |
|
Not handling deletion or updates |
Old information may still appear in results. |
Implement refresh, delete, and re-index strategy. |
|
No access control |
Users may retrieve confidential content. |
Apply security filters before showing or using results. |
Embedding-based search quality depends on more than the embedding model. Many parts of the pipeline affect the final results. Good search requires good data, good chunking, good metadata, suitable embedding model, relevant similarity settings, and continuous evaluation.
This mini project helps you understand embeddings practically. You can implement it later using Python, any embedding model, and a simple vector store. For now, focus on the design.
A company has 50 FAQ answers about login, password reset, leave policy, salary slips, VPN, and laptop support. Users ask questions in natural language. The system should return the most relevant FAQ answer even when the user uses different words.
FAQ Data -> Clean Text -> Generate Embeddings -> Store in Vector DB
^
|
User Query -> Query Embedding -> Similarity Search -> Top FAQ Answer
|
FAQ ID |
Question |
Answer category |
|
FAQ-001 |
How do I reset my password? |
Login Support |
|
FAQ-002 |
How can I apply for earned leave? |
HR Leave |
|
FAQ-003 |
How do I download my salary slip? |
Payroll |
|
FAQ-004 |
What should I do if VPN is not connecting? |
Network Support |
|
FAQ-005 |
How do I submit medical bills? |
Insurance |
|
User query |
Expected matching FAQ |
|
I forgot my login password. |
FAQ-001 |
|
Where can I get my payslip? |
FAQ-003 |
|
I cannot connect to office network from home. |
FAQ-004 |
|
How do I claim hospital expenses? |
FAQ-005 |
|
Can I take vacation next week? |
FAQ-002 |
This mini project is a foundation for many enterprise AI applications. Once you understand this, you can extend it into a RAG chatbot by sending the retrieved FAQ answer to an LLM.
Embeddings are numerical representations of meaning. They allow AI systems to compare text, documents, images, audio, and behavior patterns. A computer cannot directly understand human language, so embeddings convert human meaning into vectors that can be compared mathematically.
Embeddings are used in semantic search, recommendation systems, fraud detection, document retrieval, clustering, classification, duplicate detection, and RAG. They solve the limitation of keyword matching by finding related meaning even when exact words are different.
In production systems, embeddings work best when combined with good data preparation, chunking, metadata, vector databases, access control, evaluation, and monitoring. They are powerful, but they are not magic. Good design and testing are essential.
|
Term |
Meaning |
|
Embedding |
A numerical representation of meaning or features. |
|
Vector |
A list of numbers representing an item. |
|
Vector space |
A mathematical space where similar vectors are close together. |
|
Embedding model |
A model that converts text, image, audio, or other data into vectors. |
|
Semantic meaning |
Meaning based on concepts and intent, not just exact words. |
|
Similarity |
A measure of how related two vectors are. |
|
Distance |
A measure of how far apart two vectors are. |
|
Cosine similarity |
A common method for measuring similarity based on vector direction. |
|
Sentence embedding |
An embedding representing a full sentence. |
|
Document embedding |
An embedding representing a document or document chunk. |
|
Image embedding |
A vector representing visual features of an image. |
|
Audio embedding |
A vector representing sound features. |
|
Semantic search |
Search based on meaning rather than exact keywords. |
|
Hybrid search |
A combination of keyword search and embedding search. |
|
Vector database |
A database optimized to store and search embeddings. |
After completing this chapter, you should be able to explain embeddings in simple language, describe why text must be converted into numbers, understand vector representation, similarity, distance, and cosine similarity, and design the basic embedding flow for search, recommendation, fraud detection, and RAG applications. You are now ready to learn semantic search in detail in the next chapter.