Ask what should change when the equation is manipulated, then let the visualization test that expectation.
Foundation Lab
Weak-to-Strong Generalization
Directly studies "how do we supervise something smarter than us?"
\mathbb{E}[\ell(S(x), y)] - \mathbb{E}[\ell(S(x), \tilde{y})]Selected Foundation Object
Keep the equation fixed; move through the evidence.
Like student learning from flawed teacher but getting it right
\mathbb{E}[\ell(S(x), y)] - \mathbb{E}[\ell(S(x), \tilde{y})]Use the runnable panel, the key equation, and canonical papers as separate forms of evidence for the same object.
The useful learning product is the reusable mechanism you can carry into another model, paper, or engineering tradeoff.
Use prerequisites, dependents, and semantic links to repair the next gap without leaving the object behind.
Why It Matters for Modern Models
- Directly studies "how do we supervise something smarter than us?"
- Turns alignment into measurable ML generalization problem
- Strong models recover capability beyond what weak labels provide
What Tutorials Skip
What is still poorly explained in textbooks and papers:
- Like student learning from flawed teacher but getting it right
- Model internalizes patterns, generalizes beyond noisy labels
- Confidence-based losses help filter weak label errors
Interactive Visualization
Core Math (Optional Deep Dive)
If you want intuition first, start with the key equation and the visualization. Come back here for the full walkthrough.
Strong model trained on weak labels :
Training minimizes but we care about .
Gap = true performance - weak label performance.