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Sublinear-query relative-error testing of halfspaces
Xi Chen, Anindya De, Yizhi Huang +3
The relative-error property testing model was introduced in [CDHLNSY24] to facilitate the study of property testing for "sparse" Boolean-valued functions, i.e. ones for which only…
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…
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…
Trace reconstruction from local statistical queries
Xi Chen, Anindya De, Chin Ho Lee +1
The goal of trace reconstruction is to reconstruct an unknown -bit string given only independent random traces of , where a random trace of is obtained by passing …