Sophia: How Often Steps Are Clipped
Beginner
The problem, from first principles
Sophia reports how often its per-coordinate steps hit the clip. Tracking this fraction shows whether the curvature estimate is too small, which causes frequent clipping.
From theory to code
Implement clip_fraction(ratios), the share of coordinates whose ratio magnitude reaches one.
Constraints
- A ratio of exactly one counts as clipped.
Hints
Hint 1
Take the absolute values, compare with one, and average the boolean result.
Keywords
research-papersoptimizationsecond-order
Python
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