Semantic Search Engine with ChromaDB

In the realm of artificial intelligence (AI), data representation plays a pivotal role. Gone are the days when we relied solely on keywords and simple numerical data. Today, the concept of embeddings is revolutionizing the way AI systems understand and process information. Let’s explore the world of embeddings and how they lead us to the powerful concept of vector databases.
An embedding is a numerical representation of a word, phrase, image, or even a whole piece of code. These numerical representations, or vectors, carry the essence of the original data point within them. In the case of “love,” the vector might capture elements of relationships, emotion, and positive sentiment. This vector sits within a vast, multi-dimensional space.
The magic lies in this space: Proximity Means Similarity: Words with similar meanings or associations — “affection,” “adoration,” “devotion” — will have embedding vectors that reside close to the vector for “love”. Context Matters: Depending on the training data, embeddings can pick up on different shades of love — romantic, familial, platonic. Words and concepts associated with that type of love will cluster near it. Beyond Synonyms: Embeddings aren’t just about direct synonyms. Words that evoke the feelings or actions tied to love, like “cherish” or “protect” might also be situated nearby. Embeddings give AI systems the ability to calculate similarity. With vectors in hand, computers can determine which concepts are more closely related by measuring the distance between their corresponding vectors. This opens up incredible possibilities across many AI applications.

Embeddings in Action

Here’s how embeddings are transforming the world of AI: Search Engines: Ever notice how search engines understand your intent beyond specific keywords? Embeddings power this change, helping retrieve results that are thematically related to your query even if they don’t contain the exact same words. Recommendation Systems: Recommendation systems in streaming platforms and online stores analyze your preferences with the help of embeddings. Products, movies, and music with similar embedding vectors are likely to be suggested to you. Image Recognition: Can your phone now group your photos by people? Embedding-based similarity measurements let AI models recognize similarities between faces, objects, and scenes within images. Chatbots: Modern chatbots understand the nuances of human language due in part to embeddings. This allows them to go beyond rigid word matching and understand the underlying meaning of what you’re saying.

Vector Databases

As AI applications rely more heavily on embeddings, traditional databases start to fall short. Here’s where vector databases swoop in to save the day! Vector databases are purpose-built to: Store Embeddings: They are designed to efficiently store and manage massive collections of embedding vectors. Search by Similarity: The magic of vector databases lies in their ability to perform blazing-fast similarity searches. Think of finding the most similar images in a collection of millions, or identifying relevant documents based on a conceptual query.

How Vector Databases Work

Let’s dive deeper into the mechanics of how vector databases work, focusing on indexing, querying, and the technologies that make them efficient and scalable.
Indexing in Vector Databases
The primary challenge that vector databases address is the efficient indexing of high-dimensional data. Traditional indexing methods, effective for structured data like integers and strings, falter with the high dimensionality and unstructured nature of vector data. To overcome this, vector databases employ specialized indexing strategies: Tree-based Indexing: Techniques such as KD-trees and Ball trees partition the vector space into regions, organizing vectors in a way that reflects their spatial distribution. This structure allows the database to quickly eliminate large portions of the dataset that are unlikely to contain the query’s nearest neighbors. Hashing-based Indexing: Locality-sensitive hashing (LSH) is another popular method where vectors are hashed in such a way that similar items are more likely to be placed into the same “buckets.” This reduces the dimensionality of the problem by limiting searches to relevant buckets. Quantization: Methods like product quantization divide the vector space into a finite number of regions, each represented by a centroid vector. Vectors are then approximated by their nearest centroid, significantly reducing storage requirements and speeding up distance computations. Graph-based Indexing: Some vector databases use navigable small world (NSW) graphs or hierarchical navigable small world (HNSW) graphs, where vectors are nodes in a graph. These methods ensure that each node is linked to its nearest neighbors, facilitating efficient traversal during queries.
Querying Process
The querying process in vector databases is designed to efficiently find the “nearest neighbors” to a given query vector, which are the vectors in the database that are most similar to the query. This process involves: Distance Metrics: The similarity between vectors is typically measured using distance metrics such as cosine similarity or Euclidean distance. The choice of metric depends on the specific application and the nature of the data. Search Algorithms: Depending on the indexing method, different algorithms are used to traverse the index and identify the nearest neighbors. For tree-based methods, this might involve traversing down the tree, while graph-based methods involve navigating the graph’s nodes. Approximate Nearest Neighbor (ANN) Searches: Given the computational expense of exact nearest neighbor searches in high-dimensional spaces, vector databases often resort to ANN searches. These searches sacrifice a degree of accuracy for significant improvements in speed and resource efficiency, providing “good enough” results much faster.