
{"id":139756,"date":"2026-07-02T11:44:41","date_gmt":"2026-07-02T11:44:41","guid":{"rendered":"https:\/\/www.fpsn.org\/?p=139756"},"modified":"2026-09-01T14:39:58","modified_gmt":"2026-09-01T14:39:58","slug":"what-are-vector-embeddings-2","status":"publish","type":"post","link":"https:\/\/www.fpsn.org\/index.php\/2026\/07\/02\/what-are-vector-embeddings-2\/","title":{"rendered":"What are Vector Embeddings"},"content":{"rendered":"<p><img decoding=\"async\" class='wp-post-image' style='display: block;margin-left:auto;margin-right:auto;' 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\" width=\"255px\" alt=\"vector embeddings\"\/><\/p>\n<p><p>IBM\u00ae Granite\u00ae is our family of open, performant and trusted AI models, tailored for business and optimized to scale your AI applications. Learn how scaling gen AI in key areas drives change by helping your best minds build and  deliver innovative new solutions. Learn fundamental concepts and build your skills with hands-on labs, courses, guided projects, trials and more. This type of semantic search is also used to enable retrieval augmented generation (RAG), a framework used to supplement the knowledge base of LLMs without having to undergo more fine-tuning. Document embeddings Document embeddingsare often used <a href=\"https:\/\/www.cybertechnologies.com\/career\/\">https:\/\/www.cybertechnologies.com\/career\/<\/a> to classify documents or web pages for indexing in search engines or vector databases.<\/p>\n<\/p>\n<p><p>Measure encoding latency, retrieval latency, index build time, memory, storage, and cost separately from relevance. Prevent near-duplicate documents from leaking across those sets. An embedding evaluation must represent user retrieval tasks, not only sentence similarity. Avoid a model leaderboard copied into permanent documentation. Apply the model&#8217;s documented convention consistently at indexing and query time. Other models express the same contract through prompts, prefixes, or dedicated encode_query and encode_document methods.<\/p>\n<\/p>\n<p><p>Therefore they are often used as raw inputs to learn more robust embeddings. The left sub-image depicts the grayscale pixels, the middle sub-image contains <a href=\"https:\/\/vortexsuccess.com\/how-agentic-ai-reshapes-business-models.html\">https:\/\/vortexsuccess.com\/how-agentic-ai-reshapes-business-models.html<\/a> the pixel grayscale values, and the rightmost sub-image defines the matrix. This is equivalent to a matrix (or table) of integer values in the range 0 to 255. Consider the following example, in which raw images are represented as greyscale pixels.<\/p>\n<\/p>\n<p><div style='text-align:center'><iframe width='560' height='311' src='https:\/\/www.youtube.com\/embed\/0TiJ9c9rzZA' frameborder='0' alt='vector embeddings' allowfullscreen><\/iframe><\/div>\n<\/p>\n<p><h2>Text embedding models<\/h2>\n<\/p>\n<ul>\n<li>Image embeddings convert visual information into numerical vectors by using an image\u2019s pixel values to correspond to vector components.<\/li>\n<li>Used in systems like ChatGPT with memory, embeddings help retrieve the most relevant chunks from a knowledge base before generating a response.<\/li>\n<li>By randomly sampling from the probability distribution these vector embeddings represent, VAEs can use their decoder network to generate variations of that input data.<\/li>\n<li>Simply representing words in terms of their letters, the way image embeddings represent visuals in terms of their pixel values, would not yield meaningful embeddings.<\/li>\n<li>By measuring the distance between word vectors, we can determine how closely related words are in meaning.<\/li>\n<\/ul>\n<p><p>Vector embeddings are numerical representations of data (such as words, images, or sounds) in a high-dimensional vector space. Vector embeddings are more than just a numerical trick; they\u2019re how machines begin to \u201cunderstand.\u201d They let AI systems make connections, capture meaning, and generalize across domains. This gives you a 384-dimensional vector representing that sentence, ready to be searched, compared, or clustered.<\/p>\n<\/p>\n<p><div style='text-align:center'><iframe width='562' height='319' src='https:\/\/www.youtube.com\/embed\/aExSNbSC1f8' frameborder='0' alt='vector embeddings' allowfullscreen><\/iframe><\/div>\n<\/p>\n<p><p>Instead of engineering vector embeddings, we often train models to translate objects to vectors. We create vector embeddings, which are just lists of numbers, for data like this to perform various operations with them. T-SNE is used to visualize high dimensional word embeddings by reducing them to 2D space, helping us understand how similar words are positioned relative to each other. Embedding models represent sentences or documents as vectors capturing overall meaning and context, useful for classification and semantic search. Embeddings can represent different types of data by converting them into dense vectors, making it easier for models to understand patterns, relationships and meaning.<\/p>\n<\/p>\n<p><p>By transforming complex data into a format readily understood by machine learning algorithms, they unlock a vast array of possibilities in various fields. For example, a user who enjoys similar movies to a given movie will likely enjoy other movies with similar embeddings. This technique finds  applications in fraud detection, network security, and industrial process monitoring.<\/p>\n<\/p>\n<p><img decoding=\"async\" class='aligncenter' style='display: block;margin-left:auto;margin-right:auto;' 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width=\"253px\" alt=\"vector embeddings\"\/><\/p>\n<p><h2>Recommendation Systems<\/h2>\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>The models used to generate vector embeddings for text data are often  not the same as those used for generating actual text. Simply representing words in terms of their letters, the way image embeddings represent visuals in terms of their pixel values, would not yield meaningful embeddings. They must numerically represent abstract concepts such as semantic meaning, variable connotations and contextual relationships between words and phrases.<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>IBM\u00ae Granite\u00ae is our family of open, performant and trusted AI models, tailored for business and optimized to scale your AI applications. Learn how scaling gen AI in key areas drives change by helping your best minds build and deliver innovative new solutions. Learn fundamental concepts and build your skills with hands-on labs, courses, guided [&hellip;]<\/p>\n","protected":false},"author":60,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[636],"tags":[],"class_list":["post-139756","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\/139756","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\/60"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/comments?post=139756"}],"version-history":[{"count":1,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/posts\/139756\/revisions"}],"predecessor-version":[{"id":139757,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/posts\/139756\/revisions\/139757"}],"wp:attachment":[{"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/media?parent=139756"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/categories?post=139756"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fpsn.org\/index.php\/wp-json\/wp\/v2\/tags?post=139756"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}