Author name: Ryoma Sato

Word Tour: One-dimensional Word Embeddings via the Traveling Salesman Problem

In the field of Natural Language Processing (NLP), a central theme has always been “how to make computers understand the meaning of words.” One fundamental technique for this is “Word Embedding.” This technique converts words into numerical vectors (lists of numbers), with methods like Word2Vec and GloVe being well-known. Using these vectors allows for calculations […]

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Hack Your Feed: Take Control of Your Recommendations

“Recommended for You” YouTube, Amazon, Netflix, X, news sites… We are surrounded by services displaying recommendations. While convenient, have you ever felt, “I keep getting recommended the same kinds of things,” or “I wish I could get recommendations from a different perspective”? Or perhaps wondered, “Are these recommendations biased?” The truth is, these “recommendations” (recommender

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An Intuitive Proof That Every Real Symmetric Matrix Can Be Diagonalized by an Orthogonal Matrix

It is well known that eigenvalues of a real symmetric matrix are real values, and eigenvectors of a real symmetric matrix form an orthonormal basis. This theorem plays important roles in many fields. For example, the principal component analysis relies on this theorem. Although every textbook on linear algebra contains a proof of this theorem,

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