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This work proposes a class of differentially private mechanisms for linear queries, in par- ticular range queries, that leverages corre- lated input perturbation to simultaneously achieve unbiasedness, consistency, statisti- cal transparency, and control over utility re- quirements in terms of accuracy targets ex- pressed either in certain query margins or as implied by the hierarchical database struc- ture. The proposed Cascade Sampling al- gorithm instantiates the mechanism exactly and efficiently. Our theoretical and empir- ical analysis demonstrates that we achieve near-optimal utility, effectively compete with other methods, and retain all the favorable statistical properties discussed earlier. 

The CSViewer for Analysts application provides access to a comprehensive database collected from the Cayo Santiago rhesus monkey colony with 11000 subjects over the past 86 years. Assorted data selection, visualization and analytical features are added to its new version 1.2, and results from mining newly collected osteological measures revealed new skeletal and dental development models. To expose the intended knowledge model of the CS colony to public audiences, especially to science classes at colleges and schools, a CSViewer for Education edition is planned. Supporting queries in plain English is considered beneficial to help students to seek for answers. This paper presents initial experiments with the Claude language model. A dental checkup dataset is used to and queries in plain English are used to explore the dataset through Claude API and the results were integrated with CSViewer to use its charting features to display dental development trend of the CS monkey population. Further development based on natural language interactions enabling utilization of the generative AI features are to be continued. 

Abstract A hallmark of many unconventional superconductors is the presence of many-body interactions that give rise to broken-symmetry states intertwined with superconductivity. Recent resonant soft X-ray scattering experiments report commensurate 3a₀charge density wave order in infinite-layer nickelates, which has important implications regarding the universal interplay between charge order and superconductivity in both cuprates and nickelates. Here we present X-ray scattering and spectroscopy measurements on a series of NdNiO_2+xsamples, which reveal that the signatures of charge density wave order are absent in fully reduced, single-phase NdNiO₂. The 3a₀superlattice peak instead originates from a partially reduced impurity phase where excess apical oxygens form ordered rows with three-unit-cell periodicity. The absence of any observable charge density wave order in NdNiO₂highlights a crucial difference between the phase diagrams of cuprate and nickelate superconductors.