All reports by Author Zeyu Guo:

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TR18-019
| 28th January 2018
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Zeyu Guo, Nitin Saxena, Amit Sinhababu#### Algebraic dependencies and PSPACE algorithms in approximative complexity

Revisions: 1

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TR13-120
| 4th September 2013
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Zeyu Guo#### Randomness-efficient Curve Samplers

Zeyu Guo, Nitin Saxena, Amit Sinhababu

Testing whether a set $\mathbf{f}$ of polynomials has an algebraic dependence is a basic problem with several applications. The polynomials are given as algebraic circuits. Algebraic independence testing question is wide open over finite fields (Dvir, Gabizon, Wigderson, FOCS'07). The best complexity known is NP$^{\#\rm P}$ (Mittmann, Saxena, Scheiblechner, Trans.AMS'14). ... more >>>

Zeyu Guo

Curve samplers are sampling algorithms that proceed by viewing the domain as a vector space over a finite field, and randomly picking a low-degree curve in it as the sample. Curve samplers exhibit a nice property besides the sampling property: the restriction of low-degree polynomials over the domain to the ... more >>>