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Embedding

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An embedding is a learned representation of discrete data, such as words or categories, in a continuous vector space. Introduced conceptually in the 1990s and popularized with tools like Word2Vec in 2013, embeddings enable models to capture semantic relationships between elements by mapping similar items closer together in the vector space. In natural language processing (NLP), word embeddings revolutionized tasks like text classification and sentiment analysis by representing words in a dense and meaningful way. This approach replaced traditional sparse representations and high-dimensional representations like bag-of-words, leading to more efficient and scalable NLP workflows.

https://en.wikipedia.org/wiki/Word_embedding

Embeddings are not limited to words; they are used across domains such as recommendation systems, where embeddings of users and items help models identify personalized content. For example, matrix factorization techniques in collaborative filtering generate embeddings for users and items based on their interaction history. Embeddings also play a critical role in graph neural networks, where nodes in a graph are embedded in a latent space to capture their structural and relational properties. The flexibility of embeddings to adapt to various data types and domains highlights their foundational role in modern machine learning.

https://en.wikipedia.org/wiki/Collaborative_filtering

Training embeddings typically involves minimizing a loss function that aligns the embedding space with the desired task. Pre-trained embeddings such as GloVe, FastText, and contextual embeddings like BERT and GPT allow transfer learning across tasks, significantly reducing the time and resources required for NLP model training. Modern frameworks like TensorFlow and PyTorch provide built-in tools for creating and integrating embeddings into machine learning pipelines. These embeddings remain integral to advancements in fields ranging from computer vision to bioinformatics.

https://nlp.stanford.edu/projects/glove/

https://fasttext.cc/

https://pytorch.org/docs/stable/nn.html#embedding

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