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cs.DS2026
Distribution-Free Halfspace Testing with Samples
Xi Chen, Renato Ferreira Pinto, Nathaniel Harms +2
We prove a tight lower bound on the number of samples required for testing halfspaces over , in the distribution-free sample-based model where the underlying…
cs.DS2026
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…
cs.CC2026
The Mystery Deepens: On the Query Complexity of Tarski Fixed Points
Xi Chen, Yuhao Li, Mihalis Yannakakis
We give an -query algorithm for finding a Tarski fixed point over the -dimensional lattice , matching the lower bound of [EPRY20]. Additionally…