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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > DUALITY:
Reports tagged with Duality:
TR12-009 | 28th November 2011
Prabhu Manyem, Julien Ugon

Computational Complexity, NP Completeness and Optimization Duality: A Survey

We survey research that studies the connection between the computational complexity
of optimization problems on the one hand, and the duality gap between the primal and
dual optimization problems on the other. To our knowledge, this is the first survey that
connects the two very important areas. We further look ... more >>>


TR21-035 | 13th March 2021
Robert Robere, Jeroen Zuiddam

Amortized Circuit Complexity, Formal Complexity Measures, and Catalytic Algorithms

We study the amortized circuit complexity of boolean functions.

Given a circuit model $\mathcal{F}$ and a boolean function $f : \{0,1\}^n \rightarrow \{0,1\}$, the $\mathcal{F}$-amortized circuit complexity is defined to be the size of the smallest circuit that outputs $m$ copies of $f$ (evaluated on the same input), ... more >>>




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