{"date_updated":"2025-09-09T07:09:22Z","department":[{"_id":"MoHe"}],"year":"2025","date_created":"2025-09-07T22:01:35Z","language":[{"iso":"eng"}],"quality_controlled":"1","status":"public","page":"1990-1998","date_published":"2025-05-01T00:00:00Z","citation":{"mla":"Henzinger, Monika, et al. “Differentially Private Continual Release of Histograms and Related Queries.” <i>The 28th International Conference on Artificial Intelligence and Statistics</i>, vol. 258, ML Research Press, 2025, pp. 1990–98.","ama":"Henzinger M, Sricharan AR, Steiner TA. Differentially private continual release of histograms and related queries. In: <i>The 28th International Conference on Artificial Intelligence and Statistics</i>. Vol 258. ML Research Press; 2025:1990-1998.","ieee":"M. Henzinger, A. R. Sricharan, and T. A. Steiner, “Differentially private continual release of histograms and related queries,” in <i>The 28th International Conference on Artificial Intelligence and Statistics</i>, Mai Khao, Thailand, 2025, vol. 258, pp. 1990–1998.","chicago":"Henzinger, Monika, A. R. Sricharan, and Teresa Anna Steiner. “Differentially Private Continual Release of Histograms and Related Queries.” In <i>The 28th International Conference on Artificial Intelligence and Statistics</i>, 258:1990–98. ML Research Press, 2025.","apa":"Henzinger, M., Sricharan, A. R., &#38; Steiner, T. A. (2025). Differentially private continual release of histograms and related queries. In <i>The 28th International Conference on Artificial Intelligence and Statistics</i> (Vol. 258, pp. 1990–1998). Mai Khao, Thailand: ML Research Press.","ista":"Henzinger M, Sricharan AR, Steiner TA. 2025. Differentially private continual release of histograms and related queries. The 28th International Conference on Artificial Intelligence and Statistics. AISTATS: Conference on Artificial Intelligence and Statistics, PMLR, vol. 258, 1990–1998.","short":"M. Henzinger, A.R. Sricharan, T.A. Steiner, in:, The 28th International Conference on Artificial Intelligence and Statistics, ML Research Press, 2025, pp. 1990–1998."},"publication_identifier":{"eissn":["2640-3498"]},"day":"01","project":[{"_id":"bd9ca328-d553-11ed-ba76-dc4f890cfe62","grant_number":"101019564","name":"The design and evaluation of modern fully dynamic data structures","call_identifier":"H2020"},{"name":"Efficient algorithms","grant_number":"Z00422","_id":"34def286-11ca-11ed-8bc3-da5948e1613c"},{"_id":"bda196b2-d553-11ed-ba76-8e8ee6c21103","name":"Static and Dynamic Hierarchical Graph Decompositions","grant_number":"I05982"},{"_id":"bd9e3a2e-d553-11ed-ba76-8aa684ce17fe","grant_number":"P33775","name":"Fast Algorithms for a Reactive Network Layer"}],"type":"conference","author":[{"last_name":"Henzinger","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H","orcid":"0000-0002-5008-6530"},{"first_name":"A. R.","full_name":"Sricharan, A. R.","last_name":"Sricharan"},{"last_name":"Steiner","full_name":"Steiner, Teresa Anna","first_name":"Teresa Anna"}],"article_processing_charge":"No","external_id":{"arxiv":["2302.11341"]},"title":"Differentially private continual release of histograms and related queries","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","alternative_title":["PMLR"],"_id":"20301","OA_type":"green","oa":1,"publication_status":"published","scopus_import":"1","conference":{"location":"Mai Khao, Thailand","name":"AISTATS: Conference on Artificial Intelligence and Statistics","end_date":"2025-05-05","start_date":"2025-05-03"},"month":"05","acknowledgement":"MH: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (MoDynStruct, No. 101019564) and the Austrian Science Fund (FWF) grant DOI 10.55776/Z422, grant DOI 10.55776/I5982, and grant DOI 10.55776/P33775 with additional funding from the netidee SCIENCE Stiftung, 2020–2024. TAS: This work was supported by a research grant (VIL51463)\r\nfrom VILLUM FONDEN.","OA_place":"repository","arxiv":1,"oa_version":"Preprint","volume":258,"publication":"The 28th International Conference on Artificial Intelligence and Statistics","ec_funded":1,"intvolume":"       258","publisher":"ML Research Press","abstract":[{"text":"We study privately releasing column sums of a d-dimensional table with entries from a universe χ undergoing T row updates, called histogram under continual release. Our mechanisms give better additive ℓ∞-error than existing mechanisms for a large class of queries and input streams. Our first contribution is an output-sensitive mechanism in the insertions-only model (χ = {0, 1}) for maintaining (i) the histogram or (ii) queries that do not require maintaining the entire histogram, such as the maximum or minimum column sum, the median, or any quantiles. The mechanism has an additive error of O(d log2 (dq∗) + log T) whp, where q∗ is the maximum output value over all time steps on this dataset. The mechanism does not require q∗ as input. This breaks the Ω(d log T) bound of prior work when q∗ ≪ T. Our second contribution is a mechanism for the turnstile model that admits negative entry updates (χ = {−1, 0, 1}). This mechanism has an additive error of O(d log2(dK) + log T) whp, where K is the number of times two consecutive data rows differ, and the mechanism does not require K as input. This is useful when monitoring inputs that only vary under unusual circumstances. For d = 1 this gives the first\r\nprivate mechanism with error O(log2 K + log T) for continual counting in the turnstile model, improving on the O(log2 n + log T) error bound by Dwork et al. (2015), where n is the number of ones in the stream, as well as allowing negative entries, while Dwork et al. (2015) can only handle nonnegative entries (χ = {0, 1}). ","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2302.11341"}]}