Published in: LIPIcs, Volume 224, 38th International Symposium on Computational Geometry (SoCG 2022)
Alexandros Eskenazis. ε-Isometric Dimension Reduction for Incompressible Subsets of 𝓁_p. In 38th International Symposium on Computational Geometry (SoCG 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 224, pp. 40:1-40:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{eskenazis:LIPIcs.SoCG.2022.40, author = {Eskenazis, Alexandros}, title = {{\epsilon-Isometric Dimension Reduction for Incompressible Subsets of 𝓁\underlinep}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {40:1--40:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-227-3}, ISSN = {1868-8969}, year = {2022}, volume = {224}, editor = {Goaoc, Xavier and Kerber, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2022.40}, URN = {urn:nbn:de:0030-drops-160486}, doi = {10.4230/LIPIcs.SoCG.2022.40}, annote = {Keywords: Dimension reduction, \epsilon-isometric embedding, Maurey’s empirical method, change of measure} }
Published in: LIPIcs, Volume 77, 33rd International Symposium on Computational Geometry (SoCG 2017)
Assaf Naor. A Spectral Gap Precludes Low-Dimensional Embeddings. In 33rd International Symposium on Computational Geometry (SoCG 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 77, pp. 50:1-50:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)
@InProceedings{naor:LIPIcs.SoCG.2017.50, author = {Naor, Assaf}, title = {{A Spectral Gap Precludes Low-Dimensional Embeddings}}, booktitle = {33rd International Symposium on Computational Geometry (SoCG 2017)}, pages = {50:1--50:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-038-5}, ISSN = {1868-8969}, year = {2017}, volume = {77}, editor = {Aronov, Boris and Katz, Matthew J.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2017.50}, URN = {urn:nbn:de:0030-drops-71822}, doi = {10.4230/LIPIcs.SoCG.2017.50}, annote = {Keywords: Metric embeddings, dimensionality reduction, expander graphs, nonlinear spectral gaps, nearest neighbor search, complex interpolation, Markov type.} }
Published in: LIPIcs, Volume 55, 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)
Alexandr Andoni, Assaf Naor, and Ofer Neiman. Impossibility of Sketching of the 3D Transportation Metric with Quadratic Cost. In 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 55, pp. 83:1-83:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)
@InProceedings{andoni_et_al:LIPIcs.ICALP.2016.83, author = {Andoni, Alexandr and Naor, Assaf and Neiman, Ofer}, title = {{Impossibility of Sketching of the 3D Transportation Metric with Quadratic Cost}}, booktitle = {43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)}, pages = {83:1--83:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-013-2}, ISSN = {1868-8969}, year = {2016}, volume = {55}, editor = {Chatzigiannakis, Ioannis and Mitzenmacher, Michael and Rabani, Yuval and Sangiorgi, Davide}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2016.83}, URN = {urn:nbn:de:0030-drops-62028}, doi = {10.4230/LIPIcs.ICALP.2016.83}, annote = {Keywords: Transportation metric, embedding, snowflake, sketching} }
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