Birth and Death Content Loss Function

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A loss function derived from birth and death cochains, generalizing birth and death times for use in topological optimization.

Why It Matters

The paper proposes using this content derived from cochains as a novel loss function for optimization tasks, which is the primary applied contribution.

Evidence

We use birth and death cochains to define birth and death content as generalizations of birth and death times. We then demonstrate the advantages of using that birth and death content as loss functions on a variety of topological optimization tasks

Related Papers

• openalex-2603.25575-topological-optimization-with-birth-and-death-cochains