6 papers
Rigidity of stable spacelike capillary hypersurfaces in de Sitter and Minkowski spaces
Hui Ma, Jiaxu Ma, Mingxuan Yang
We prove a rigidity theorem for compact spacelike capillary hypersurfaces in de~Sitter and Minkowski spaces: volume-preserving stability forces total umbilicity when the support is…
From Decision to Random Certificates: Exponential Separation for Edge Estimation with Independent Set Queries
Debarshi Chanda, Buddha Dev Das, Arijit Ghosh +1
We study the problem of estimating the number of edges in an undirected, unweighted graph using sublinear query access. We consider a query model that preserves the structure of In…
Structure of sparse Boolean functions over Abelian groups, and its application to testing
Sourav Chakraborty, Swarnalipa Datta, Pranjal Dutta +2
We study Fourier-sparse Boolean functions over general finite Abelian groups. A Boolean function is -sparse if it has at most non-zero Fourier coeffici…
Dimension Agnostic Testing of Survey Data Credibility through the Lens of Regression
Debabrota Basu, Sourav Chakraborty, Debarshi Chanda +3
Assessing whether a sample survey credibly represents the population is a critical question for ensuring the validity of downstream research. Generally, this problem reduces to est…
Testing vs Estimation for Index-Invariant Properties in the Huge Object Model
Sourav Chakraborty, Eldar Fischer, Arijit Ghosh +3
The Huge Object model of property testing [Goldreich and Ron, TheoretiCS 23] concerns properties of distributions supported on , where is so large that even reading…
Testing Credibility of Public and Private Surveys through the Lens of Regression
Debabrota Basu, Sourav Chakraborty, Debarshi Chanda +3
Testing whether a sample survey is a credible representation of the population is an important question to ensure the validity of any downstream research. While this problem, in ge…