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cs.CC2026
A Quadratic Lower Bound on Determinantal Complexity
Mrinal Kumar, Ben Lee Volk
We prove an lower bound on the determinantal complexity of the power sum polynomial over the field of complex numbers. A similar result was claimed in…
cs.CC2026
Improved Algorithms for the Remote Point Problem
Ben Lee Volk
The Remote Point Problem (RPP) is an algorithmic problem that asks, given a linear subspace of dimension , to deterministically find a vector $v \in \…
cs.CC2026
A Lower Bound for Read-Once Parity Branching Programs
Ben Lee Volk
We prove an lower bound for read-once parity branching programs computing an explicit boolean function on variables. The previous best lower bound was $\tildeΩ(n…