Hypothesis
Numerical pipelines can be built so that division by zero, overflow and precision loss degrade the result gracefully instead of destroying it.
Problem
One NaN poisons a tensor; one overflow kills a training run. The standard answer is defensive clipping everywhere — which silently changes the mathematics.
Current state
Maturing — library published openly.
Methods
- A computation library (Balansis) exercised as the numerical base of the other layers
- Stress suites around singular points and extreme magnitudes
Findings
- The approach holds under the laboratory’s stress suites, and the library carrying it is public — the mechanism can be read, not taken on trust