When Predictors Outnumber Data: Making Sense of High-Dimensional Regression

Interactive Plotly Dash experience that walks through the concepts, intuition, and tooling for high-dimensional regression. The site blends live Markdown notes with reusable Dash components that demonstrate phenomena such as full-rank design matrices, LASSO selection, and economic intuition.

Live Website

You can view the live website here:
Click to open in new tab

Highlights

• Live-updating notes sourced from modular Markdown files under notes/.
• Interactive demos inside components/ showing LASSO paths, rank diagnostics, and regression workflows.
• Unified styling via assets/styles.css and shared design tokens in theme.py.
• Synthetic-data notebooks (*.ipynb) that back up the narratives with exploratory work.

Repository Layout

• main.py – Dash entry point that assembles Markdown sections and interactive components.
• assets/styles.css – Global styling (including smooth scrolling) loaded automatically by Dash.
• theme.py – Centralized color palette used across layouts.
• components/ – Modular Dash components (table_of_contents.py, full_rank_component.py, lasso_component.py, etc.).
• notes/ – Sectioned Markdown content (00_intro.md, 03_ols_breakdown.md, references.md, contributors.md, …).
• requirements.txt / pyproject.toml – Locked dependencies (generated with uv).
• Eames_lasso_working.ipynb, Niki_Project_linear.ipynb – Supporting exploratory notebooks.
• uv.lock – Deterministic dependency lockfile.

Getting Started (via uv)

uv provides fast env/dep management.

1. Create the virtual environment

   uv venv

2. Activate it

   source .venv/bin/activate      # macOS/Linux
   # or
   .venv\Scripts\activate         # Windows PowerShell

3. Install dependencies

   uv pip install -r requirements.txt

4. Run the Dash app

   uv run python main.py

   Open http://127.0.0.1:8050/ in your browser. Markdown edits refresh automatically every 2 seconds.

Editing Content & Components

• Markdown notes live in notes/. Adding a new file? Append it to _SECTION_FILES in main.py and call render_section("your_file.md").
• Interactive modules belong in components/ and should follow the make_<name>_component pattern with scoped callbacks (see full_rank_component.py).
• Styling tweaks go in assets/styles.css; Dash reloads the file on change.

Notebooks & Analysis

Exploratory notebooks remain available:

uv run jupyter notebook

Use them to prototype experiments or generate figures that feed back into the app.

Enjoy exploring high-dimensional regression! Feel free to open issues or PRs with improvements or new demos.

Made with ❤️ from msds601-highdim-group9.