A quadratic lower bound for the permanent and determinant.
Mignon is known for her work on 42 Seconds (2018), Sistas (2019) and Sister Code (2015).
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We will discuss: arithmetic circuits, arithmetic complexity, VP vs VNP, the determinant vs the perminant, Valiant's theorem on VNP-completeness of the permanent, determinantal complexity, Grenet's permanental formula, and the Mignon-Ressayre quadratic lower bound. Additional topics will be covered depending on time.
Permanent and Determinant. non-identical twins. Avi Wigderson. IAS, Princeton.
A (biased ) survey on Arithmetic Circuits Amir Shpilka Technion 1 Arithmetic Circuits November 22, 2009.
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