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cs.CC2022
Low-depth arithmetic circuit lower bounds via shifted partials
Prashanth Amireddy, Ankit Garg, Neeraj Kayal +2
We prove super-polynomial lower bounds for low-depth arithmetic circuits using the shifted partials measure [Gupta-Kamath-Kayal-Saptharishi, CCC 2013], [Kayal, ECCC 2012] and the a…
cs.CC2020
Learning sums of powers of low-degree polynomials in the non-degenerate case
Ankit Garg, Neeraj Kayal, Chandan Saha
We develop algorithms for writing a polynomial as sums of powers of low degree polynomials. Consider an -variate degree- polynomial which can be written as $$f = c_1Q_1^{…