ImplicitSlides

Presentation slides for implicit models (deep equilibrium models). The paper proves that implicit models' expressive power scales with test-time compute, with applications in imaging, scientific computing, operations research, and LLM reasoning.

Based on the paper:

Jialin Liu, Lisang Ding, Stanley Osher, Wotao Yin. "Implicit Models: Expressive Power Scales with Test-Time Compute". arXiv:2510.03638. [arXiv]

Repository Structure

├── implicit-model.qmd      # Quarto presentation slides (Reveal.js format)
├── requirements.txt        # Python dependencies
├── overleaf/               # LaTeX paper sources
│   ├── arxiv/              # arXiv version
│   ├── figures-inverse/    # Imaging experiment figures
│   ├── figures-ns/         # Navier-Stokes experiment figures
│   ├── figures-lp/         # Linear programming experiment figures
│   ├── figures-llm/        # LLM reasoning experiment figures
│   ├── figures-toy/        # Toy example figures
│   └── tikzs/              # TikZ diagrams
└── env/                    # Python virtual environment

Setup

1. Install uv (Python package manager)

If you don't have uv installed:

# macOS/Linux
curl -LsSf https://astral.sh/uv/install.sh | sh

# Or with Homebrew
brew install uv

2. Create Python Virtual Environment

# Create a virtual environment with Python 3.14
uv venv env --python 3.14

# Activate the virtual environment
source env/bin/activate

# Install dependencies
uv pip install -r requirements.txt

3. Install Quarto

Download and install Quarto from quarto.org:

# macOS with Homebrew
brew install quarto

# Or download the installer from https://quarto.org/docs/get-started/

4. Install LaTeX (for PDF rendering)

If you don't have TexLive or another LaTeX distribution installed, you can use Quarto's built-in TinyTeX:

quarto install tinytex

This installs a minimal LaTeX distribution sufficient for rendering Quarto documents to PDF.

Usage

Quarto Presentations

# Preview with live reload (opens in browser)
quarto preview implicit-model.qmd

# Render presentation to HTML
quarto render implicit-model.qmd

Key Conventions

• Quarto presentations use format: revealjs with BibTeX citations via bibliography: overleaf/arxiv/refs.bib
• LaTeX papers import math_commands.tex for consistent notation:
  • Vectors: \vx, \vy
  • Operators: \cF, \cG
  • Matrices: \mI