Topic Modeling — Discovering Hidden Themes in Millions of Documents
A scroll-driven visual deep dive into topic modeling. From LDA to NMF to neural topic models — learn how search engines and email services automatically categorize, cluster, and label unstructured text at scale.
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10 million documents.
No labels. What are they about?
You’ve crawled 10 million web pages. Nobody has labeled any of them. You need to organize them into topics: sports, technology, politics, health… How? You have no labels, no categories, no training data. Just raw text. Topic modeling discovers the hidden structure automatically.
↓ Scroll to learn how machines discover what documents are “about”
The Core Intuition
Topic modeling is unsupervised. What does this mean in practice?
💡 If there are no labels, who decides what each topic is called?
Unsupervised = no labels needed. You feed in 10 million raw documents and out come K topics, each defined by its top words. Topic 1: {stock, market, trading, fund} → you say 'Finance.' Topic 2: {patient, surgery, diagnosis, hospital} → you say 'Healthcare.' The algorithm finds patterns; humans name them. This is the key trade-off: zero annotation cost, but topics require human interpretation and may not align with your desired categories.
LDA: Latent Dirichlet Allocation
LDA's generative story
For each topic k = 1..K: draw word distribution φₖ ~ Dirichlet(β) For each document d: draw topic distribution θ_d ~ Dirichlet(α) For each word position in document d: 1. Draw a topic z ~ Multinomial(θ_d) 2. Draw a word w ~ Multinomial(φ_z) Goal: given only the observed words w, infer the hidden topics z, θ, φ You run LDA with K=20 topics on 1 million news articles. Topic 7's top words are: 'said, mr, year, also, new, first, would, people, two, time'. What's this topic about?
💡 Would these words help you identify what a specific article is about?
This is one of LDA's well-known failure modes: 'background topics' or 'junk topics' that capture frequent, non-discriminative words. Words like 'said,' 'year,' 'would,' 'new' appear everywhere and don't belong to any specific topic. Solutions: (1) Remove more stopwords including domain-specific ones, (2) Use a smaller K, (3) Increase the number of Gibbs sampling iterations, (4) Use asymmetric priors. In practice, ~20% of LDA topics are often junk — interpreting only the good ones is part of the workflow.
NMF: The Linear Algebra Alternative
NMF decomposition
V_{m×n} ≈ W_{m×k} × H_{k×n} V[i][j] = TF-IDF weight of word i in document j W[i][k] = weight of word i in topic k H[k][j] = weight of topic k in document j Constraint: W ≥ 0 and H ≥ 0 Modern Topic Models: BERTopic & Beyond
You want to discover topics in 50,000 customer support emails for a SaaS product. Emails average 3 sentences. Which approach is best?
💡 How many words does a 3-sentence email have? Is that enough for word co-occurrence statistics?
Short text (3 sentences) is LDA's weakness — there aren't enough words per document to build reliable word co-occurrence statistics. NMF on TF-IDF is better but still surface-level. BERTopic shines here: (1) Sentence-BERT produces meaningful embeddings even for short text, (2) HDBSCAN finds clusters of varying density (some issues are common, others rare), (3) c-TF-IDF labels each cluster with discriminative terms. For 50K documents, BERTopic runs in minutes on a single GPU.
How Do You Know If Topics Are Good?
Real-World Applications
Your 20-topic LDA model produces a topic whose top words are: 'the, is, of, and, to, a, in, that, it, for'. What went wrong and how do you fix it?
💡 Do those top words carry any meaning about a specific topic?
This is LDA's most common failure mode. Function words (the, is, of) appear in every document with roughly uniform frequency. LDA allocates a topic to capture this distribution, wasting a slot. Fix: (1) Remove standard stop words. (2) Remove words appearing in >90% of documents (corpus-specific stop words). (3) Remove words in <5 documents (too rare). (4) Use TF-IDF to filter low-information words. Some implementations like MALLET have built-in stop word optimization, but proper preprocessing is always essential.
🎓 What You Now Know
✓ Topic modeling is unsupervised — no labels needed. It discovers hidden topics from raw text by finding word co-occurrence patterns.
✓ LDA models documents as topic mixtures — each document is a probability distribution over topics, each topic is a distribution over words.
✓ NMF is the practical alternative — faster, deterministic, often producing cleaner topics than LDA, especially for short text.
✓ BERTopic is the modern standard — embeddings + clustering + c-TF-IDF handles short text and captures semantic meaning.
✓ Topics power email organization, search clustering, news trending, and research discovery — anywhere you have too many documents and not enough labels.
Topic modeling is the art of finding order in chaos. It won’t give you perfect categories, but it will reveal patterns you didn’t know existed — transforming millions of unread documents into an organized, navigable knowledge space. 🗂️
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