Aug 18, 2021 · Abstract:In seminal work, Lovász, Spencer, and Vesztergombi [European J. Combin., 1986] proved a lower bound for the hereditary discrepancy ...
In seminal work, Lovász, Spencer, and Vesztergombi [European J. Combin., 1986] proved a lower bound for the hereditary discrepancy of a matrix A ∊ ℝm×n in ...
Given A ∈ Rm×n and y ∈ Rn, how can we round y to x ∈ Zn so that. Ax ≈ Ay? Page 7. Discrepancy as rounding. ▷ Given A ∈ Rm×n and y ∈ Rn, ...
Nov 1, 2021 · In seminal work, Lovász, Spencer, and Vesztergombi [European J. Combin., 1986] proved a lower bound for the hereditary discrepancy of a matrix A ...
A Tighter Relation Between Hereditary Discrepancy and Determinant ...
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Borders are tight up to constants when m = O(poly(n)) due to a construction of Pálvölgyi or the counterexample to Beck's three permutation conjecture by ...
In seminal work, Lov\'asz, Spencer, and Vesztergombi [European J. Combin., 1986] proved a lower bound for the hereditary discrepancy of a matrix $A \in \mathbb{ ...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. The lower bounds are best possible, and in most cases they are ...
In seminal work, Lovász, Spencer, and Vesztergombi [European J. Combin., 1986] proved a lower bound for the hereditary discrepancy of a matrix A ∈ℝ^m × n ...
Given that the determinant lower bound often implies nearly tight discrepancy lower bounds, it is natural to ask how far it can be from the hereditary ...
A Tighter Relation Between Hereditary Discrepancy and Determinant Lower Bound. In seminal work, Lovász, Spencer, and Vesztergombi [European J. Combin.,... 0 ...