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0.LM. Data in Language Models

Julio Toboso edited this page Oct 4, 2025 · 2 revisions

🧠 Data in Language Models

Statistical Paradigm

Language models

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's Critique of Big Data Models

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


📘 To Explore Further:

  • 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)

Data

Legend:

  • 🔰 Start here
  • 🏵️ Important Insight
  • ⚙️ Technical and applications
  • 💻 Some Code
  • ⚜️ Advanced Topics

Start

01 · Ω — What could happen

02 · X, 𝒳 — What we observe

03 · p(x) — What we expected

04 · I(x), H(X) — What an observation tells us

05 · Data — What is consistent

06 · Statistics — What we can learn.

07 · Databases - How to store data

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 · f_θ — Modelling and linear algebra

  • 10.1 🔰 Vectors and Matrices (planned)
  • 10.2 Mathematical Modelling (planned)

11 · min L(θ) — Optimisation

  • 11.1 🔰 Derivatives (planned)
  • 11.2 Convex Optimisation (planned)

12 · Learning from data

13 · Cause, design, capstone

  • 13.1 Cause and Effect (planned)
  • 13.2 Capstone Guide (planned)

Appendix

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