{"id":218623,"date":"2026-07-03T07:18:54","date_gmt":"2026-07-03T12:18:54","guid":{"rendered":"https:\/\/romanhermanos.com.ec\/?p=218623"},"modified":"2026-08-31T15:21:54","modified_gmt":"2026-08-31T20:21:54","slug":"what-are-vector-embeddings-an-intuitive","status":"publish","type":"post","link":"https:\/\/romanhermanos.com.ec\/?p=218623","title":{"rendered":"What Are Vector Embeddings? An Intuitive Explanation"},"content":{"rendered":"<p><img decoding=\"async\" class='wp-post-image' style='display: block;margin-left:auto;margin-right:auto;' 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\" width=\"251px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>One way of creating vector embeddings is to engineer the  vector values using domain knowledge. A vector database is a specialized database designed to store, index, and query high-dimensional vector embeddings, enabling efficient similarity search and retrieval of unstructured data like text, images, and audio. This ensures the system understands user intent while never missing critical documents containing specific product names, IDs, or industry jargon. Embedding is a learned numerical representation that maps text, images, entities, or other inputs into a vector space where distance encodes relationships useful to a specific training objective. Finally, vector embeddings are instrumental in building effective recommendation systems.<\/p>\n<\/p>\n<ul>\n<li>Finally, vector embeddings are instrumental in building effective recommendation systems.<\/li>\n<li>Each neuron in each network layer processes a specific receptive field from the former layer.<\/li>\n<li>Embedding models represent sentences or documents as vectors capturing overall meaning and context, useful for classification and semantic search.<\/li>\n<li>For example, smartphone voice assistants \u201ctranslate\u201d the user\u2019s audio inputs into vector embeddings, and in turn use those vector embeddings for natural language processing (NLP) of that input.<\/li>\n<li>This exercise rewards embeddings that better capture information about a specific word or sentence and how it relates to the context around it.<\/li>\n<li>Instead of using letters or images, they use numbers that are arranged in a specific structure called a vector, which is like an ordered list of values.<\/li>\n<\/ul>\n<p><p>We\u2019re powered by Milvus, the popular open-source vector database that helps companies from any scale build AI-powered search solutions. Uses t-SNE from scikit learn to shrink  high dimensional word vectors into two dimensions for visualization. Loads a sample text dataset and uses it to train a Word2Vec model which creates word vectors. Graph embeddings convert nodes and relationships into vectors, helping in tasks like link prediction and clustering.<\/p>\n<\/p>\n<p><p>This gives large language models up-to-date and grounded context. This helps in understanding data structure, spotting patterns, or finding anomalies. Both users and items (like videos or books) are embedded in the same space. The model gradually adjusts the vector representations so that related inputs end up closer together.<\/p>\n<\/p>\n<ul>\n<li>Vector embeddings are numerical representations of data (such as words, images, or sounds) in a high-dimensional vector space.<\/li>\n<li>Instead, the two embedding models must be explicitly trained to correlate with one another.<\/li>\n<li>For third-generation embedding models like text-embedding-3-small, use the cl100k_base encoding.<\/li>\n<li>As a result, the vectors for &#8220;king&#8221; and &#8220;queen&#8221; will be positioned closer together in the embedding space compared to the vector for &#8220;apple,&#8221; which rarely appears in the same context.<\/li>\n<li>However, RNNs still have their place in specific applications where sequential processing is crucial.<\/li>\n<\/ul>\n<p><h2>Retrieval Architecture: Exact, ANN, Hybrid, and Reranking<\/h2>\n<\/p>\n<p><p>Likewise, the word \u201cdimension\u201d has different implications in ML, depending on its context. \u201cVector\u201d itself, for example, has a more specific connotation in physics\u2014where it usually refers to a quantity with both magnitude and direction\u2014than it does in ML. It\u2019s useful to note that certain words are used differently in an ML context than in everyday language or other mathematical settings. In machine learning (ML), \u201ctensor\u201d is used as a generic term for an array of numbers (or an array of arrays of numbers) in n-dimensional space, functioning like a mathematical bookkeeping device for data. Vector embeddings thus underpin nearly all modern machine learning, powering models used in the fields of NLP and computer vision, and serving as the fundamental building blocks of generative AI. Expressing data points as vectors also enables the interoperability of different types of data, acting as a lingua franca of sorts between different data formats by representing them in the same embedding space.<\/p>\n<\/p>\n<div style='text-align:center'><iframe width='568' height='312' src='https:\/\/www.youtube.com\/embed\/aExSNbSC1f8' frameborder='0' alt='vector embeddings' allowfullscreen><\/iframe><\/div>\n<\/p>\n<p><p>Intuitively, the more similar two real-world data points, the more similar their respective vector embeddings should be. Training models to output vector representations of data points that correspond meaningfully to their real-world features enable us to make useful assumptions about how vector embeddings relate to one another. Any data that an AI model operates on, including unstructured data such as text, audio or images, must be expressed numerically. Vector embeddings are numerical representations of data points that express different types of data, including nonmathematical data such as words or images, as an array of numbers that machine learning (ML) models can process. Discover their applications in text classification, information retrieval, and semantic similarity detection. Explore how text embeddings work, their evolution, key applications, and top models, providing essential insights for both aspiring &#038; junior data practitioners.<\/p>\n<\/p>\n<p><p>This architecture is widely used in applications, such as machine translation and caption generation. The fact that embeddings can represent an object as a dense vector that contains its semantic information makes them very useful for a wide range of ML applications. Now, given a new unseen image, <a href=\"https:\/\/rozamimoza2.ru\/free-undetected-hacks-skin-changer-semi-rage-radar\/\">https:\/\/rozamimoza2.ru\/free-undetected-hacks-skin-changer-semi-rage-radar\/<\/a> we can transform it with the CNN model, retrieve its k-most similar vectors, and thus the corresponding similar images. The weights are being optimized in a way that images with the same labels are embedded closer compared to images with different labels.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' 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\" width=\"254px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>Typical models for document embedding include BERT variants, Doc2vec (which is an expansion of the Word2vec model) or other  open source embedding models such as Instructor (link resides outside ibm.com). GloVe, a popular word embedding model, was trained on a \u201cglobal word-word cooccurrence matrix,\u201d inferring semantic meaning and semantic relationships from how often specific words are used close to one another. Stand-alone embedding models might be pretrained offerings or trained from scratch on specific tasks or training data. Whereas the dimensions of image vector data are relatively objective and intuitive, determining the relevant features of certain data modalities\u2014such as the semantic meanings and contextual relationships of language\u2014is more abstract or subjective. Armed with such logical assumptions, vector embeddings can be used as inputs to models that perform useful real-world tasks through mathematical operations that compare, transform, combine, sort or otherwise manipulate those numerical representations. Learn more about LDA2vec, a model that learns dense word vectors jointly with Dirichlet-distributed latent document-level mixtures of topic vectors.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' 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width=\"258px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>Used in systems like ChatGPT with memory, embeddings help retrieve the most relevant chunks from a knowledge base before generating a response. When you search \u201cbest budget laptop,\u201d embedding-based search engines won\u2019t just match exact keywords, they\u2019ll find documents semantically similar, like \u201ctop affordable notebooks.\u201d This leads to more relevant results. Video embedding models tackle both spatial (frame-level visuals) and temporal (motion across frames) information.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' 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width=\"256px\" alt=\"vector embeddings\"\/><\/p>\n<p><h2>How Are Embeddings Generated?<\/h2>\n<\/p>\n<p><p>To reduce the embedding\u2019s dimensions without losing its concept-representing properties, pass in the dimensions parameter. Markdown versions of documentation pages are available by appending .md to the page URL. Whether you choose to customize pre-built apps and skills or build <a href=\"https:\/\/synapsewaves.com\/articles\/understanding-alanine-scanning-protein-engineering\/\">https:\/\/synapsewaves.com\/articles\/understanding-alanine-scanning-protein-engineering\/<\/a> and deploy custom agentic services using an AI studio, the IBM watsonx platform has you covered. Move your applications from prototype to production with the help of our AI development solutions.<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>One way of creating vector embeddings is to engineer the vector values using domain knowledge. A vector database is a specialized database designed to store, index, and query high-dimensional vector embeddings, enabling efficient similarity search and retrieval of unstructured data like text, images, and audio. 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