Document Zbl 1315.68281

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New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2710-7). 174-183 (2014). </div> <div class="abstract"></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A6451545">Cited in <strong>3</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A6451545">Cited in <strong>23</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68W20" title="MSC2020">68W20</a> </td> <td class="space"> Randomized algorithms </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68P05" title="MSC2020">68P05</a> </td> <td class="space"> Data structures </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68Q17" title="MSC2020">68Q17</a> </td> <td class="space"> Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68W05" title="MSC2020">68W05</a> </td> <td class="space"> Nonnumerical algorithms </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Acommunication+complexity">communication complexity</a>; <a href="/?q=ut%3Alinear+sketches">linear sketches</a>; <a href="/?q=ut%3Alower+bounds">lower bounds</a>; <a href="/?q=ut%3Astreaming+algorithms">streaming algorithms</a></div> <div class="software"> <h3>Software:</h3><a href="/software/11355">SuLQ</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1315.68281" data-ciurl="/ci/06451545" data-biburl="/bibtex/06451545.bib" data-amsurl="/amsrefs/06451545.bib" data-xmlurl="/xml/06451545.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06451545.pdf" title="Zbl 1315.68281 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1145/2591796.2591812" aria-label="DOI for “Turnstile streaming algorithms might as well be linear sketches”" title="10.1145/2591796.2591812">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">N. Alon, Y. Matias, and M. Szegedy. The Space Complexity of Approximating the Frequency Moments. JCSS, 58(1):137-147, 1999. 10.1006/jcss.1997.1545 · <a href="/0938.68153" class="nowrap">Zbl 0938.68153</a></td> </tr><tr> <td>[2]</td> <td class="space">A. Andoni. High frequency moment via max stability. Available at http://web.mit.edu/andoni/www/papers/fkStable.pdf.</td> </tr><tr> <td>[3]</td> <td class="space">A. Andoni, R. Krauthgamer, and K. Onak. Streaming algorithms via precision sampling. In FOCS, pages 363-372, 2011. 10.1109/FOCS.2011.82 · <a href="/1292.68186" class="nowrap">Zbl 1292.68186</a></td> </tr><tr> <td>[4]</td> <td class="space">A. Andoni, H. L. Nguyên, Y. Polyanskiy, and Y. Wu. Tight lower bound for linear sketches of moments. In ICALP (1), pages 25-32, 2013. 10.1007/978-3-642-39206-1_3 · <a href="/1336.68093" class="nowrap">Zbl 1336.68093</a></td> </tr><tr> <td>[5]</td> <td class="space">Z. Bar-Yossef. The Complexity of Massive Data Set Computations. 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In CCC, pages 107-117, 2003.</td> </tr><tr> <td>[14]</td> <td class="space">M. Charikar, K. Chen, and M. Farach-Colton. Finding frequent items in data streams. In ICALP, pages 693-703, 2002. · <a href="/1057.68600" class="nowrap">Zbl 1057.68600</a></td> </tr><tr> <td>[15]</td> <td class="space">K. L. Clarkson and D. P. Woodruff. Numerical linear algebra in the streaming model. In STOC, pages 205-214, 2009. 10.1145/1536414.1536445 · <a href="/1304.65138" class="nowrap">Zbl 1304.65138</a></td> </tr><tr> <td>[16]</td> <td class="space">D. Coppersmith and R. Kumar. An improved data stream algorithm for frequency moments. In Proceedings of the 15th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 151-156, 2004. · <a href="/1317.68266" class="nowrap">Zbl 1317.68266</a></td> </tr><tr> <td>[17]</td> <td class="space">G. Cormode and S. Muthukrishnan. An improved data stream summary: the count-min sketch and its applications. J. 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Optimal approximations of the frequency moments of data streams. In STOC, pages 202-208, 2005. 10.1145/1060590.1060621 · <a href="/1192.68364" class="nowrap">Zbl 1192.68364</a></td> </tr><tr> <td>[30]</td> <td class="space">T. S. Jayram. Hellinger strikes back: A note on the multi-party information complexity of and. In APPROX-RANDOM, pages 562-573, 2009. 10.1007/978-3-642-03685-9_42 · <a href="/1255.68074" class="nowrap">Zbl 1255.68074</a></td> </tr><tr> <td>[31]</td> <td class="space">I. Kremer, N. Nisan, and D. Ron. On randomized one-round communication complexity. Computational Complexity, 8(1):21-49, 1999. 10.1007/s000370050018 · <a href="/0942.68059" class="nowrap">Zbl 0942.68059</a></td> </tr><tr> <td>[32]</td> <td class="space">Y. Li, H. L. Nguyen, and D. P. Woodruff. On sketching matrix norms and the top singular vector. In SODA, 2014. · <a href="/1422.68305" class="nowrap">Zbl 1422.68305</a></td> </tr><tr> <td>[33]</td> <td class="space">M. Monemizadeh and D. P. Woodruff. 1-pass relative-error lp-sampling with applications. In SODA, 2010.</td> </tr><tr> <td>[34]</td> <td class="space">S. Muthukrishnan. Data Streams: Algorithms and Applications. Foundations and Trends in Theoretical Computer Science, 1(2):117-236, 2005. 10.1561/0400000002 · <a href="/1128.68025" class="nowrap">Zbl 1128.68025</a></td> </tr><tr> <td>[35]</td> <td class="space">I. Newman. Private vs. common random bits in communication complexity. Inf. Process. Lett., pages 67-71, 1991. 10.1016/0020-0190(91)90157-D · <a href="/0735.68034" class="nowrap">Zbl 0735.68034</a></td> </tr><tr> <td>[36]</td> <td class="space">E. Price and D. P. Woodruff. Lower bounds for adaptive sparse recovery. In SODA, pages 652-663, 2013. · <a href="/1423.94023" class="nowrap">Zbl 1423.94023</a></td> </tr><tr> <td>[37]</td> <td class="space">A. Storjohann. Algorithms for Matrix Canonical Forms. 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