
{"id":139754,"date":"2026-06-30T11:08:23","date_gmt":"2026-06-30T11:08:23","guid":{"rendered":"https:\/\/www.fpsn.org\/?p=139754"},"modified":"2026-09-01T14:39:56","modified_gmt":"2026-09-01T14:39:56","slug":"embeddings-in-machine-learning","status":"publish","type":"post","link":"https:\/\/www.fpsn.org\/index.php\/2026\/06\/30\/embeddings-in-machine-learning\/","title":{"rendered":"Embeddings in Machine Learning"},"content":{"rendered":"<p><img decoding=\"async\" class='wp-post-image' style='display: block;margin-left:auto;margin-right:auto;' src=\"data:image\/jpeg;base64,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\" width=\"250px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>As you can see, vector embeddings have emerged as a very powerful tool. By representing users and items as embeddings, recommendation systems can identify similar users or items based on their vector proximity. Similarly to our example with \u201cking\u201d and \u201cqueen,\u201d vectors <a href=\"https:\/\/netvorae.com\/elon-musk-net-worth-in-rupees\/\">https:\/\/netvorae.com\/elon-musk-net-worth-in-rupees\/<\/a> representing semantic and syntactic relationships between words can be captured across languages. Another strength of vector embeddings lies in the identification of unusual data points or patterns. This opens a wide array of fields with potential applications, from content creation and customer service to education and research.<\/p>\n<\/p>\n<p><p>It\u2019s easy for us to grasp, but for a machine that is designed to understand only numbers, it\u2019s a complex challenge. The resulting vectors place similar data points (e.g., words or images) closer together in the vector space, enabling the model to identify patterns and associations. These models are trained on large datasets to learn the semantic relationships between data points.<\/p>\n<\/p>\n<ul>\n<li>Both of our new embedding models were trained with a technique that allows developers to trade-off performance and cost of using embeddings.<\/li>\n<li>Discover their applications in text classification, information retrieval, and semantic similarity detection.<\/li>\n<li>Intuitively, the more similar two real-world data points, the more similar their respective vector embeddings should be.<\/li>\n<li>IBM\u00ae Granite\u00ae is our family of open, performant and trusted AI models, tailored for business and optimized to scale your AI applications.<\/li>\n<li>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.<\/li>\n<\/ul>\n<p><p>A set of one-hot <a href=\"https:\/\/synapsewaves.com\/articles\/foundations-of-artificial-intelligence\/\">https:\/\/synapsewaves.com\/articles\/foundations-of-artificial-intelligence\/<\/a> encoded values representing noun, verb, adjective, other While vector embeddings share this fundamental concept, they operate in spaces with countless dimensions. These mathematical magic tricks transform words, images, and other data into numerical representations that computers can easily understand and manipulate. By capturing contextual meanings, embeddings like Word2Vec and BERT allow models to understand word similarities, handle synonyms, and process sentences or paragraphs as coherent units, rather than isolated words. These representations capture the relationships and similarities between different pieces of data, allowing machine learning models to process and understand complex information in a format that is easier to work with.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' src=\"data:image\/jpeg;base64,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\" width=\"256px\" alt=\"vector embeddings\"\/><\/p>\n<p><h2>Your weekly news podcast for AI enthusiasts<\/h2>\n<\/p>\n<p><div style='text-align:center'><iframe width='564' height='310' src='https:\/\/www.youtube.com\/embed\/PByDzuOrkek' frameborder='0' alt='vector embeddings' allowfullscreen><\/iframe><\/div>\n<\/p>\n<p><p>The candidate stage must have sufficient Recall@k because a reranker cannot recover a relevant document that was never retrieved. Start with real or safely synthesized queries and label which documents are relevant. An embedding model learns a function that maps an input into a fixed-length vector so that relationships useful to its training objective become measurable in that space. Vector embeddings are learned numerical representations used to compare text, images, audio, entities, or other data.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' src=\"data:image\/jpeg;base64,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\" width=\"253px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>Text-embedding-3-small and text-embedding-3-large, our newest and most performant embedding models, are now available. Semantic search Semantic search uses vector embeddings to power searches that transcend simple keyword matching. Traditional databases are rarely optimized to work the high-dimensional data common to vector embeddings. In doing so, word embeddings can generalize well to new contexts and even  rare or previously unseen words. This exercise rewards embeddings that better capture information about a specific word or sentence and how it relates to the context around it. While this lends itself well to learning to generate coherent text, it\u2019s not optimal for learning useful standalone vector embeddings.<\/p>\n<\/p>\n<p><div style='text-align:center'><iframe width='562' height='316' src='https:\/\/www.youtube.com\/embed\/aExSNbSC1f8' frameborder='0' alt='vector embeddings' allowfullscreen><\/iframe><\/div>\n<\/p>\n<p><p>LLMs like ChatGPT, Claud, or Google Gemini rely heavily on vector embeddings as a foundational component. However, RNNs still have their place in specific applications where sequential processing is crucial. Vector embeddings allow us to perform arithmetic operations on word vectors, uncovering hidden relationships. As we have already covered, vector embeddings excel at quantifying semantic similarity. Now that we have found out what vector embeddings are and how they capture meaning, it is time to go one step further and see which tasks they enable. The following 3D scatter plot visualizes the concept of vector embeddings for words.<\/p>\n<\/p>\n<ul>\n<li>An embedding is any numerical representation of data that captures its relevant qualities in a way that ML algorithms can process.<\/li>\n<li>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.<\/li>\n<li>Here, each object is transformed into a numerical vector using an embedding model.<\/li>\n<li>Interestingly, based on this approach, even before the user receives the product we can predict better than random whether they would like the product.<\/li>\n<li>The models used to generate vector embeddings for text data are often not the same as those used for generating actual text.<\/li>\n<li>This makes it easier for algorithms to work with complex data such as words, images or audio.<\/li>\n<\/ul>\n<p><h2>An Introduction to Vector Databases For Machine Learning: A Hands-On Guide With Examples<\/h2>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' src=\"data:image\/jpeg;base64,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\" width=\"251px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>Vector embeddings are particularly common in Natural Language Processing (NLP), focusing on representing  individual words. It transforms  linguistic meaning into geometric relationships that can be measured and analyzed mathematically. This extreme dimensionality is essential for capturing the complicated nuances of human language, such as tone, context, and grammatical features.<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>As you can see, vector embeddings have emerged as a very powerful tool. By representing users and items as embeddings, recommendation systems can identify similar users or items based on their vector proximity. Similarly to our example with \u201cking\u201d and \u201cqueen,\u201d vectors https:\/\/netvorae.com\/elon-musk-net-worth-in-rupees\/ representing semantic and syntactic relationships between words can be captured across languages. [&hellip;]<\/p>\n","protected":false},"author":58,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[636],"tags":[],"class_list":["post-139754","post","type-post","status-publish","format-standard","hentry","category-development-news"],"_links":{"self":[{"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/posts\/139754","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/users\/58"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/comments?post=139754"}],"version-history":[{"count":1,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/posts\/139754\/revisions"}],"predecessor-version":[{"id":139755,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/posts\/139754\/revisions\/139755"}],"wp:attachment":[{"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/media?parent=139754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/categories?post=139754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/tags?post=139754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}