Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
William M. Hoza. A Technique for Hardness Amplification Against AC⁰. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 1:1-1:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{hoza:LIPIcs.CCC.2024.1, author = {Hoza, William M.}, title = {{A Technique for Hardness Amplification Against AC⁰}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {1:1--1:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.1}, URN = {urn:nbn:de:0030-drops-203977}, doi = {10.4230/LIPIcs.CCC.2024.1}, annote = {Keywords: Bounded-depth circuits, average-case lower bounds, hardness amplification, XOR lemmas} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Harm Derksen, Peter Ivanov, Chin Ho Lee, and Emanuele Viola. Pseudorandomness, Symmetry, Smoothing: I. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 18:1-18:27, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{derksen_et_al:LIPIcs.CCC.2024.18, author = {Derksen, Harm and Ivanov, Peter and Lee, Chin Ho and Viola, Emanuele}, title = {{Pseudorandomness, Symmetry, Smoothing: I}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {18:1--18:27}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.18}, URN = {urn:nbn:de:0030-drops-204144}, doi = {10.4230/LIPIcs.CCC.2024.18}, annote = {Keywords: pseudorandomness, k-wise uniform distributions, small-bias distributions, noise, symmetric tests, thresholds, Krawtchouk polynomials} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Kuan Cheng and Yichuan Wang. BPL ⊆ L-AC¹. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 32:1-32:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{cheng_et_al:LIPIcs.CCC.2024.32, author = {Cheng, Kuan and Wang, Yichuan}, title = {{BPL ⊆ L-AC¹}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {32:1--32:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-331-7}, ISSN = {1868-8969}, year = {2024}, volume = {300}, editor = {Santhanam, Rahul}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.32}, URN = {urn:nbn:de:0030-drops-204282}, doi = {10.4230/LIPIcs.CCC.2024.32}, annote = {Keywords: Randomized Space Complexity, Circuit Complexity, Derandomization} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Édouard Bonnet, Julien Duron, John Sylvester, Viktor Zamaraev, and Maksim Zhukovskii. Tight Bounds on Adjacency Labels for Monotone Graph Classes. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 31:1-31:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{bonnet_et_al:LIPIcs.ICALP.2024.31, author = {Bonnet, \'{E}douard and Duron, Julien and Sylvester, John and Zamaraev, Viktor and Zhukovskii, Maksim}, title = {{Tight Bounds on Adjacency Labels for Monotone Graph Classes}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {31:1--31:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.31}, URN = {urn:nbn:de:0030-drops-201741}, doi = {10.4230/LIPIcs.ICALP.2024.31}, annote = {Keywords: Adjacency labeling, degeneracy, monotone classes, small classes, factorial classes, implicit graph conjecture} }
Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Vladimir V. Podolskii and Dmitrii Sluch. One-Way Communication Complexity of Partial XOR Functions. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 116:1-116:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{podolskii_et_al:LIPIcs.ICALP.2024.116, author = {Podolskii, Vladimir V. and Sluch, Dmitrii}, title = {{One-Way Communication Complexity of Partial XOR Functions}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {116:1--116:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-322-5}, ISSN = {1868-8969}, year = {2024}, volume = {297}, editor = {Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.116}, URN = {urn:nbn:de:0030-drops-202591}, doi = {10.4230/LIPIcs.ICALP.2024.116}, annote = {Keywords: Partial functions, XOR functions, communication complexity, decision trees, covering codes} }
Published in: LIPIcs, Volume 261, 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)
Tsun-Ming Cheung, Hamed Hatami, Pooya Hatami, and Kaave Hosseini. Online Learning and Disambiguations of Partial Concept Classes. In 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 261, pp. 42:1-42:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{cheung_et_al:LIPIcs.ICALP.2023.42, author = {Cheung, Tsun-Ming and Hatami, Hamed and Hatami, Pooya and Hosseini, Kaave}, title = {{Online Learning and Disambiguations of Partial Concept Classes}}, booktitle = {50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)}, pages = {42:1--42:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-278-5}, ISSN = {1868-8969}, year = {2023}, volume = {261}, editor = {Etessami, Kousha and Feige, Uriel and Puppis, Gabriele}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2023.42}, URN = {urn:nbn:de:0030-drops-180946}, doi = {10.4230/LIPIcs.ICALP.2023.42}, annote = {Keywords: Online learning, Littlestone dimension, VC dimension, partial concept class, clique vs independent set, Alon-Saks-Seymour conjecture, Standard Optimal Algorithm, PAC learning} }
Published in: LIPIcs, Volume 245, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2022)
Hamed Hatami, Pooya Hatami, William Pires, Ran Tao, and Rosie Zhao. Lower Bound Methods for Sign-Rank and Their Limitations. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 245, pp. 22:1-22:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{hatami_et_al:LIPIcs.APPROX/RANDOM.2022.22, author = {Hatami, Hamed and Hatami, Pooya and Pires, William and Tao, Ran and Zhao, Rosie}, title = {{Lower Bound Methods for Sign-Rank and Their Limitations}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2022)}, pages = {22:1--22:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-249-5}, ISSN = {1868-8969}, year = {2022}, volume = {245}, editor = {Chakrabarti, Amit and Swamy, Chaitanya}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2022.22}, URN = {urn:nbn:de:0030-drops-171445}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2022.22}, annote = {Keywords: Average Margin, Communication complexity, margin complexity, monochromatic rectangle, Sign-rank, Unbounded-error communication complexity, VC-dimension} }
Published in: LIPIcs, Volume 176, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)
Abhishek Bhrushundi, Prahladh Harsha, Pooya Hatami, Swastik Kopparty, and Mrinal Kumar. On Multilinear Forms: Bias, Correlation, and Tensor Rank. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 176, pp. 29:1-29:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{bhrushundi_et_al:LIPIcs.APPROX/RANDOM.2020.29, author = {Bhrushundi, Abhishek and Harsha, Prahladh and Hatami, Pooya and Kopparty, Swastik and Kumar, Mrinal}, title = {{On Multilinear Forms: Bias, Correlation, and Tensor Rank}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)}, pages = {29:1--29:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-164-1}, ISSN = {1868-8969}, year = {2020}, volume = {176}, editor = {Byrka, Jaros{\l}aw and Meka, Raghu}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2020.29}, URN = {urn:nbn:de:0030-drops-126325}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2020.29}, annote = {Keywords: polynomials, Boolean functions, tensor rank, bias, correlation} }
Published in: LIPIcs, Volume 169, 35th Computational Complexity Conference (CCC 2020)
Dean Doron, Pooya Hatami, and William M. Hoza. Log-Seed Pseudorandom Generators via Iterated Restrictions. In 35th Computational Complexity Conference (CCC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 169, pp. 6:1-6:36, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{doron_et_al:LIPIcs.CCC.2020.6, author = {Doron, Dean and Hatami, Pooya and Hoza, William M.}, title = {{Log-Seed Pseudorandom Generators via Iterated Restrictions}}, booktitle = {35th Computational Complexity Conference (CCC 2020)}, pages = {6:1--6:36}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-156-6}, ISSN = {1868-8969}, year = {2020}, volume = {169}, editor = {Saraf, Shubhangi}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2020.6}, URN = {urn:nbn:de:0030-drops-125586}, doi = {10.4230/LIPIcs.CCC.2020.6}, annote = {Keywords: Pseudorandom generators, Pseudorandom restrictions, Read-once depth-2 formulas, Parity gates} }
Published in: LIPIcs, Volume 169, 35th Computational Complexity Conference (CCC 2020)
Kuan Cheng and William M. Hoza. Hitting Sets Give Two-Sided Derandomization of Small Space. In 35th Computational Complexity Conference (CCC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 169, pp. 10:1-10:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{cheng_et_al:LIPIcs.CCC.2020.10, author = {Cheng, Kuan and Hoza, William M.}, title = {{Hitting Sets Give Two-Sided Derandomization of Small Space}}, booktitle = {35th Computational Complexity Conference (CCC 2020)}, pages = {10:1--10:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-156-6}, ISSN = {1868-8969}, year = {2020}, volume = {169}, editor = {Saraf, Shubhangi}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2020.10}, URN = {urn:nbn:de:0030-drops-125625}, doi = {10.4230/LIPIcs.CCC.2020.10}, annote = {Keywords: hitting sets, derandomization, read-once branching programs} }
Published in: LIPIcs, Volume 137, 34th Computational Complexity Conference (CCC 2019)
Chin Ho Lee. Fourier Bounds and Pseudorandom Generators for Product Tests. In 34th Computational Complexity Conference (CCC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 137, pp. 7:1-7:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{lee:LIPIcs.CCC.2019.7, author = {Lee, Chin Ho}, title = {{Fourier Bounds and Pseudorandom Generators for Product Tests}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {7:1--7:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-116-0}, ISSN = {1868-8969}, year = {2019}, volume = {137}, editor = {Shpilka, Amir}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2019.7}, URN = {urn:nbn:de:0030-drops-108296}, doi = {10.4230/LIPIcs.CCC.2019.7}, annote = {Keywords: bounded independence plus noise, Fourier spectrum, product test, pseudorandom generators} }
Published in: LIPIcs, Volume 137, 34th Computational Complexity Conference (CCC 2019)
Dean Doron, Pooya Hatami, and William M. Hoza. Near-Optimal Pseudorandom Generators for Constant-Depth Read-Once Formulas. In 34th Computational Complexity Conference (CCC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 137, pp. 16:1-16:34, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{doron_et_al:LIPIcs.CCC.2019.16, author = {Doron, Dean and Hatami, Pooya and Hoza, William M.}, title = {{Near-Optimal Pseudorandom Generators for Constant-Depth Read-Once Formulas}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {16:1--16:34}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-116-0}, ISSN = {1868-8969}, year = {2019}, volume = {137}, editor = {Shpilka, Amir}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2019.16}, URN = {urn:nbn:de:0030-drops-108382}, doi = {10.4230/LIPIcs.CCC.2019.16}, annote = {Keywords: Pseudorandom generators, Constant-depth formulas, Explicit constructions} }
Published in: LIPIcs, Volume 132, 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Yuval Filmus, Lianna Hambardzumyan, Hamed Hatami, Pooya Hatami, and David Zuckerman. Biasing Boolean Functions and Collective Coin-Flipping Protocols over Arbitrary Product Distributions. In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 58:1-58:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{filmus_et_al:LIPIcs.ICALP.2019.58, author = {Filmus, Yuval and Hambardzumyan, Lianna and Hatami, Hamed and Hatami, Pooya and Zuckerman, David}, title = {{Biasing Boolean Functions and Collective Coin-Flipping Protocols over Arbitrary Product Distributions}}, booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)}, pages = {58:1--58:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-109-2}, ISSN = {1868-8969}, year = {2019}, volume = {132}, editor = {Baier, Christel and Chatzigiannakis, Ioannis and Flocchini, Paola and Leonardi, Stefano}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2019.58}, URN = {urn:nbn:de:0030-drops-106340}, doi = {10.4230/LIPIcs.ICALP.2019.58}, annote = {Keywords: Boolean function analysis, coin flipping} }
Published in: LIPIcs, Volume 124, 10th Innovations in Theoretical Computer Science Conference (ITCS 2019)
Eshan Chattopadhyay, Pooya Hatami, Shachar Lovett, and Avishay Tal. Pseudorandom Generators from the Second Fourier Level and Applications to AC0 with Parity Gates. In 10th Innovations in Theoretical Computer Science Conference (ITCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 124, pp. 22:1-22:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{chattopadhyay_et_al:LIPIcs.ITCS.2019.22, author = {Chattopadhyay, Eshan and Hatami, Pooya and Lovett, Shachar and Tal, Avishay}, title = {{Pseudorandom Generators from the Second Fourier Level and Applications to AC0 with Parity Gates}}, booktitle = {10th Innovations in Theoretical Computer Science Conference (ITCS 2019)}, pages = {22:1--22:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-095-8}, ISSN = {1868-8969}, year = {2019}, volume = {124}, editor = {Blum, Avrim}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2019.22}, URN = {urn:nbn:de:0030-drops-101150}, doi = {10.4230/LIPIcs.ITCS.2019.22}, annote = {Keywords: Derandomization, Pseudorandom generator, Explicit construction, Random walk, Small-depth circuits with parity gates} }
Published in: LIPIcs, Volume 102, 33rd Computational Complexity Conference (CCC 2018)
Eshan Chattopadhyay, Pooya Hatami, Kaave Hosseini, and Shachar Lovett. Pseudorandom Generators from Polarizing Random Walks. In 33rd Computational Complexity Conference (CCC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 102, pp. 1:1-1:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)
@InProceedings{chattopadhyay_et_al:LIPIcs.CCC.2018.1, author = {Chattopadhyay, Eshan and Hatami, Pooya and Hosseini, Kaave and Lovett, Shachar}, title = {{Pseudorandom Generators from Polarizing Random Walks}}, booktitle = {33rd Computational Complexity Conference (CCC 2018)}, pages = {1:1--1:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-069-9}, ISSN = {1868-8969}, year = {2018}, volume = {102}, editor = {Servedio, Rocco A.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2018.1}, URN = {urn:nbn:de:0030-drops-88880}, doi = {10.4230/LIPIcs.CCC.2018.1}, annote = {Keywords: AC0, branching program, polarization, pseudorandom generators, random walks, Sensitivity} }