8–10 Dec 2025
CERN
Europe/Zurich timezone

A clamp-function with enhanced differentiability

8 Dec 2025, 17:05
20m
31/3-004 - IT Amphitheatre (CERN)

31/3-004 - IT Amphitheatre

CERN

105
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Speaker

Cord Bleibaum (DLR, Institute of Future Fuels)

Description

While there are a few common variants to restrict a value to a range, such as a clamp function and a smoothstep, they commonly have regions with vanishing gradients outside the target range. This makes these methods non-optimal for differentiable programming. Thus, we have built a better “clamp” using periodic functions, chosen to be efficient to compute compared to similar alternatives. Furthermore, this extends differentiability towards the position of the boundaries.

Author

Cord Bleibaum (DLR, Institute of Future Fuels)

Co-author

Prof. Christian Sattler (RWTH Aachen)

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