:PROPERTIES:
:ID: c4a0d60f-49d3-4185-8c5b-f8a5a10a2ccc
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#+title: thesis/introduction
#+filetags: :project: :knowledge: :introduction:

:PROPERTIES:
:ID: thesis-introduction
:END:

#+title: thesis/introduction
#+filetags: :project: :knowledge: :introduction:

Chapter 1 of the BGU MSc thesis on ROLL. Written last, after Ch. 2–4 are stable.
Parent: [[id:6294e2be-6189-4473-b363-a1dd9a75fb9b][thesis]]

** Guidelines

- Target length: 4–6 pages
- Write last — contributions list and roadmap must match what the thesis actually delivers
- Structure: Hook → Problem statement → Contributions → Roadmap
- Do NOT explain the method — introduction is a promise, not a delivery

** Structure

1. *Hook* (~1–2 paragraphs) — concrete application where a wrong operating point is costly.
   Candidates from existing prose: medical screening, fraud detection, astronomy/microscopy pipelines.
   Make the reader feel the problem before naming it.
2. *Problem statement* (~1 paragraph) — class imbalance + why accuracy is the wrong metric +
   the TPR@FPR objective in one crisp sentence.
3. *Contributions* (bulleted list, ~5 items) — what ROLL does that prior work does not:
   - Differentiable TPR@FPR loss (and FPR@TPR by label/score symmetry)
   - Gaussian, Beta, KDE instantiations with closed-form gradients
   - Gradient-balance property (updates independent of class-size ratio)
   - Gradient-locality property (threshold-focused gradient mass)
   - Empirical evaluation on KEEL benchmark + larger datasets
4. *Roadmap* (~1 paragraph) — one sentence per chapter, matching final chapter titles exactly.

** Gotchas

- Roadmap must exactly match final chapter titles — write it last
- Don't use the inseparability / cascade-classifier tangent from the old draft; it dilutes the argument