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0.LM. Data in Language Models
Julio Toboso edited this page Oct 4, 2025
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Statistical Paradigm
Here, data is the core input.
These models learn patterns, like probabilities of word sequences, directly from large text corpora.
Data defines the model’s behavior.
Claude Shannon’s information theory underpins this tradition.
- A model might predict “the” is likely after “in”, purely from co-occurrence.
- No need to posit syntax trees, Universal Grammar, or innate structures.
Chomsky has criticized deep learning based models as:
- “Superficial curve-fitting”
- Failing to explain why or how language works
- Not distinguishing between data driven mimicry and principled understanding.
“There’s a notion of science. Science is about explanation. Deep learning is not science.”
— Noam Chomsky
- Chomsky (1965) – Aspects of the Theory of Syntax
- Chomsky (2000) – New Horizons in the Study of Language and Mind
- Chris Manning (Stanford NLP) – critiques and contrasts between symbolic and statistical NLP
- Shannon (1948) – statistical foundation of language models
- Floridi – Philosophy of Information (for meta-concept of data and models)
Legend:
- 🔰 Start here
- 🏵️ Important Insight
- ⚙️ Technical and applications
- 💻 Some Code
- ⚜️ Advanced Topics
- 00.1 What Is Data?
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00.2 Three Models of Reality (planned)
- 00.2.1 The Linguistic
- 00.2.2 The Symbolic
- 00.3.3 The Mathematical
- 00.3 Maps and Reality
- 00.4 Aside: Hossack, data as structure
- 00.5 Aside: Chomsky, data as evidence
- 01.1 🔰 Sets and Logic (planned)
- 01.2 Sample Space
- 01.3 Randomness and Pattern
- 01.4 Outcomes and Events
- 01.5 Finite and Infinite Sample Spaces
- 02.1 🔰 Functions (planned)
- 02.2 Types Are Alphabets
- 02.3 Random Variables: X : Ω → 𝒳 (planned)
- 02.4 Measurement Scales
- 02.5 Numerics
- 03.1 🔰 Fractions and Proportions (planned)
- 03.2 Randomness vs Uncertainty
- 03.3 Probability: Events, Conditioning, Bayes
- 03.4 Bayes' Theorem, Step by Step
- 03.5 Expected Value and Variance (planned)
- 03.6 Bernoulli (ES)
- 03.7 Discrete Uniform (ES)
- 03.8 🧗 Kolmogorov: Ω, 𝒜, ℙ
- 04.1 🔰 Powers and Logarithms (planned)
- 04.2 Rarity
- 04.3 Information Theory (Shannon)
- 04.4 Entropy: Three Views
- 05.1 🔰 Sums and Averages (planned)
- 05.2 Data, Measured
- 05.3 Sampling (ES)
- 05.4 Population and Sample (ES)
- 05.5 Types of Sampling (ES)
- 05.6 Choosing Summaries & Visuals
- 05.7 Visualization
- 05.8 Plots
- 06.1 What Is Statistics?
- 06.2 🔰 Curves and Area (planned)
- 06.3 Statistical Thinking
- 06.4 Variation
- 06.5 Uncertainty
- 06.6 Parameters vs Estimators (ES)
- 06.7 Distributions
- 06.8 Statistical Modeling
- 06.9 Statistical Methods
- 07.1 Data Storage: Databases (stub)
- 07.2 ER Diagrams
- 07.3 Chen Diagrams
- 07.4 SQL (planned)
- 07.5 Formal Languages and Regular Expressions (planned)
- 07.6 Reproducibility (planned)
08 · μ(x) — Fuzzy - When data is flexible
- 08.1 Fuzzy Logic (planned)
- 08.2 Fuzzy Numbers (planned)
- 08.3 Possibility vs Probability (planned)
09 · x(t) — Signals and systems - Where patterns live
- 09.1 Signals (stub)
- 09.2 Sampling and Aliasing (planned)
- 09.3 Convolution (planned)
- 09.4 Frequency (planned)
- 10.1 🔰 Vectors and Matrices (planned)
- 10.2 Mathematical Modelling (planned)
- 11.1 🔰 Derivatives (planned)
- 11.2 Convex Optimisation (planned)
- 12.1 Supervised Learning (planned)
- 12.2 Data in Language Models
- 13.1 Cause and Effect (planned)
- 13.2 Capstone Guide (planned)