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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > MONOMIAL:
Reports tagged with monomial:
TR06-032 | 25th February 2006
Vitaly Feldman

Optimal Hardness Results for Maximizing Agreements with Monomials

We consider the problem of finding a monomial (or a term) that maximizes the agreement rate with a given set of examples over the Boolean hypercube. The problem originates in learning and is referred to as {\em agnostic learning} of monomials. Finding a monomial with the highest agreement rate was ... more >>>


TR20-039 | 25th March 2020
Pranjal Dutta, Nitin Saxena, Thomas Thierauf

Lower bounds on the sum of 25th-powers of univariates lead to complete derandomization of PIT

We consider the univariate polynomial $f_d:=(x+1)^d$ when represented as a sum of constant-powers of univariate polynomials. We define a natural measure for the model, the support-union, and conjecture that it is $\Omega(d)$ for $f_d$.

We show a stunning connection of the conjecture to the two main problems in algebraic ... more >>>




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