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cs.DS2025
Testing noisy low-degree polynomials for sparsity
Yiqiao Bao, Anindya De, Shivam Nadimpalli +2
We consider the problem of testing whether an unknown low-degree polynomial over is sparse versus far from sparse, given access to noisy evaluations of the polyn…
cs.DS2025
Model-agnostic distribution recovery in high dimension via Fourier measurements
Xi Chen, Anindya De, Yizhi Huang +3
We study the problem of reconstructing an unknown probability distribution to high accuracy, given noisy information about its low-degree Fourier coefficients. Prior results for th…
cs.CC2025
Halfspaces are hard to test with relative error
Xi Chen, Anindya De, Yizhi Huang +3
Several recent works [DHLNSY25, CPPS25a, CPPS25b] have studied a model of property testing of Boolean functions under a \emph{relative-error} criterion. In this model, the distance…