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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > RANK CONCENTRATION:
Reports tagged with Rank Concentration:
TR18-036 | 21st February 2018
Michael Forbes, Sumanta Ghosh, Nitin Saxena

Towards blackbox identity testing of log-variate circuits

Derandomization of blackbox identity testing reduces to extremely special circuit models. After a line of work, it is known that focusing on circuits with constant-depth and constantly many variables is enough (Agrawal,Ghosh,Saxena, STOC'18) to get to general hitting-sets and circuit lower bounds. This inspires us to study circuits with few ... more >>>


TR21-015 | 15th February 2021
Chandan Saha, Bhargav Thankey

Hitting Sets for Orbits of Circuit Classes and Polynomial Families

The orbit of an $n$-variate polynomial $f(\mathbf{x})$ over a field $\mathbb{F}$ is the set $\mathrm{orb}(f) := \{f(A\mathbf{x}+\mathbf{b}) : A \in \mathrm{GL}(n,\mathbb{F}) \ \mathrm{and} \ \mathbf{b} \in \mathbb{F}^n\}$. This paper studies explicit hitting sets for the orbits of polynomials computable by certain well-studied circuit classes. This version of the hitting set ... more >>>




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