Published in: LIPIcs, Volume 317, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024)
Kuan Cheng and Ruiyang Wu. Randomness Extractors in AC⁰ and NC¹: Optimal up to Constant Factors. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 317, pp. 69:1-69:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{cheng_et_al:LIPIcs.APPROX/RANDOM.2024.69, author = {Cheng, Kuan and Wu, Ruiyang}, title = {{Randomness Extractors in AC⁰ and NC¹: Optimal up to Constant Factors}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2024)}, pages = {69:1--69:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-348-5}, ISSN = {1868-8969}, year = {2024}, volume = {317}, editor = {Kumar, Amit and Ron-Zewi, Noga}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2024.69}, URN = {urn:nbn:de:0030-drops-210623}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2024.69}, annote = {Keywords: randomness extractor, uniform AC⁰, error reduction, uniform NC¹, disperser} }
Published in: LIPIcs, Volume 304, 5th Conference on Information-Theoretic Cryptography (ITC 2024)
Benny Applebaum, Kaartik Bhushan, and Manoj Prabhakaran. Communication Complexity vs Randomness Complexity in Interactive Proofs. In 5th Conference on Information-Theoretic Cryptography (ITC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 304, pp. 2:1-2:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{applebaum_et_al:LIPIcs.ITC.2024.2, author = {Applebaum, Benny and Bhushan, Kaartik and Prabhakaran, Manoj}, title = {{Communication Complexity vs Randomness Complexity in Interactive Proofs}}, booktitle = {5th Conference on Information-Theoretic Cryptography (ITC 2024)}, pages = {2:1--2:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-333-1}, ISSN = {1868-8969}, year = {2024}, volume = {304}, editor = {Aggarwal, Divesh}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITC.2024.2}, URN = {urn:nbn:de:0030-drops-205103}, doi = {10.4230/LIPIcs.ITC.2024.2}, annote = {Keywords: Interactive Proof Systems, Communication Complexity, Hash Functions, Pseudo-Random Generators, Compression} }
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)
Xin Li and Yan Zhong. Explicit Directional Affine Extractors and Improved Hardness for Linear Branching Programs. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 10:1-10:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{li_et_al:LIPIcs.CCC.2024.10, author = {Li, Xin and Zhong, Yan}, title = {{Explicit Directional Affine Extractors and Improved Hardness for Linear Branching Programs}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {10:1--10:14}, 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.2024.10}, URN = {urn:nbn:de:0030-drops-204060}, doi = {10.4230/LIPIcs.CCC.2024.10}, annote = {Keywords: Randomness Extractors, Affine, Read-once Linear Branching Programs, Low-degree polynomials, AC⁰ circuits} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Guy Blanc, Caleb Koch, Carmen Strassle, and Li-Yang Tan. A Strong Direct Sum Theorem for Distributional Query Complexity. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 16:1-16:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{blanc_et_al:LIPIcs.CCC.2024.16, author = {Blanc, Guy and Koch, Caleb and Strassle, Carmen and Tan, Li-Yang}, title = {{A Strong Direct Sum Theorem for Distributional Query Complexity}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {16:1--16:30}, 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.2024.16}, URN = {urn:nbn:de:0030-drops-204123}, doi = {10.4230/LIPIcs.CCC.2024.16}, annote = {Keywords: Query complexity, direct product theorem, hardcore theorem} }
Published in: LIPIcs, Volume 300, 39th Computational Complexity Conference (CCC 2024)
Mohit Gurumukhani, Ramamohan Paturi, Pavel Pudlák, Michael Saks, and Navid Talebanfard. Local Enumeration and Majority Lower Bounds. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 17:1-17:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{gurumukhani_et_al:LIPIcs.CCC.2024.17, author = {Gurumukhani, Mohit and Paturi, Ramamohan and Pudl\'{a}k, Pavel and Saks, Michael and Talebanfard, Navid}, title = {{Local Enumeration and Majority Lower Bounds}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {17:1--17:25}, 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.2024.17}, URN = {urn:nbn:de:0030-drops-204136}, doi = {10.4230/LIPIcs.CCC.2024.17}, annote = {Keywords: Depth 3 circuits, k-CNF satisfiability, Circuit lower bounds, Majority function} }
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 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)
Xin Li and Yan Zhong. Two-Source and Affine Non-Malleable Extractors for Small Entropy. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 108:1-108:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{li_et_al:LIPIcs.ICALP.2024.108, author = {Li, Xin and Zhong, Yan}, title = {{Two-Source and Affine Non-Malleable Extractors for Small Entropy}}, booktitle = {51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)}, pages = {108:1--108:15}, 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.2024.108}, URN = {urn:nbn:de:0030-drops-202512}, doi = {10.4230/LIPIcs.ICALP.2024.108}, annote = {Keywords: Randomness Extractors, Non-malleable, Two-source, Affine} }
Published in: LIPIcs, Volume 264, 38th Computational Complexity Conference (CCC 2023)
Dieter van Melkebeek and Nicollas Mocelin Sdroievski. Instance-Wise Hardness Versus Randomness Tradeoffs for Arthur-Merlin Protocols. In 38th Computational Complexity Conference (CCC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 264, pp. 17:1-17:36, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{vanmelkebeek_et_al:LIPIcs.CCC.2023.17, author = {van Melkebeek, Dieter and Mocelin Sdroievski, Nicollas}, title = {{Instance-Wise Hardness Versus Randomness Tradeoffs for Arthur-Merlin Protocols}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {17:1--17:36}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-282-2}, ISSN = {1868-8969}, year = {2023}, volume = {264}, editor = {Ta-Shma, Amnon}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2023.17}, URN = {urn:nbn:de:0030-drops-182870}, doi = {10.4230/LIPIcs.CCC.2023.17}, annote = {Keywords: Hardness versus randomness tradeoff, Arthur-Merlin protocol, targeted hitting set generator} }
Published in: LIPIcs, Volume 264, 38th Computational Complexity Conference (CCC 2023)
Rahul Santhanam. An Algorithmic Approach to Uniform Lower Bounds. In 38th Computational Complexity Conference (CCC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 264, pp. 35:1-35:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{santhanam:LIPIcs.CCC.2023.35, author = {Santhanam, Rahul}, title = {{An Algorithmic Approach to Uniform Lower Bounds}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {35:1--35:26}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-282-2}, ISSN = {1868-8969}, year = {2023}, volume = {264}, editor = {Ta-Shma, Amnon}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2023.35}, URN = {urn:nbn:de:0030-drops-183053}, doi = {10.4230/LIPIcs.CCC.2023.35}, annote = {Keywords: Probabilistic Kolmogorov complexity, sampling algorithms, uniform lower bounds} }
Published in: Dagstuhl Reports, Volume 12, Issue 9 (2023)
Markus Bläser, Valentine Kabanets, Ronen Shaltiel, and Jacobo Torán. Algebraic and Analytic Methods in Computational Complexity (Dagstuhl Seminar 22371). In Dagstuhl Reports, Volume 12, Issue 9, pp. 41-59, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@Article{blaser_et_al:DagRep.12.9.41, author = {Bl\"{a}ser, Markus and Kabanets, Valentine and Shaltiel, Ronen and Tor\'{a}n, Jacobo}, title = {{Algebraic and Analytic Methods in Computational Complexity (Dagstuhl Seminar 22371)}}, pages = {41--59}, journal = {Dagstuhl Reports}, ISSN = {2192-5283}, year = {2023}, volume = {12}, number = {9}, editor = {Bl\"{a}ser, Markus and Kabanets, Valentine and Shaltiel, Ronen and Tor\'{a}n, Jacobo}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagRep.12.9.41}, URN = {urn:nbn:de:0030-drops-178092}, doi = {10.4230/DagRep.12.9.41}, annote = {Keywords: (de-)randomization, algebra, circuits, coding, computational complexity} }
Published in: LIPIcs, Volume 251, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023)
Iftach Haitner, Noam Mazor, and Jad Silbak. Incompressiblity and Next-Block Pseudoentropy. In 14th Innovations in Theoretical Computer Science Conference (ITCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 251, pp. 66:1-66:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{haitner_et_al:LIPIcs.ITCS.2023.66, author = {Haitner, Iftach and Mazor, Noam and Silbak, Jad}, title = {{Incompressiblity and Next-Block Pseudoentropy}}, booktitle = {14th Innovations in Theoretical Computer Science Conference (ITCS 2023)}, pages = {66:1--66:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-263-1}, ISSN = {1868-8969}, year = {2023}, volume = {251}, editor = {Tauman Kalai, Yael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2023.66}, URN = {urn:nbn:de:0030-drops-175697}, doi = {10.4230/LIPIcs.ITCS.2023.66}, annote = {Keywords: incompressibility, next-block pseudoentropy, sparse languages} }
Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)
Ronen Shaltiel and Emanuele Viola. On Hardness Assumptions Needed for "Extreme High-End" PRGs and Fast Derandomization. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 116:1-116:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{shaltiel_et_al:LIPIcs.ITCS.2022.116, author = {Shaltiel, Ronen and Viola, Emanuele}, title = {{On Hardness Assumptions Needed for "Extreme High-End" PRGs and Fast Derandomization}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {116:1--116:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-217-4}, ISSN = {1868-8969}, year = {2022}, volume = {215}, editor = {Braverman, Mark}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2022.116}, URN = {urn:nbn:de:0030-drops-157122}, doi = {10.4230/LIPIcs.ITCS.2022.116}, annote = {Keywords: Complexity Theory, Derandomization, Pseudorandom generators, Black-box proofs} }
Published in: LIPIcs, Volume 185, 12th Innovations in Theoretical Computer Science Conference (ITCS 2021)
Noga Ron-Zewi, Ronen Shaltiel, and Nithin Varma. Query Complexity Lower Bounds for Local List-Decoding and Hard-Core Predicates (Even for Small Rate and Huge Lists). In 12th Innovations in Theoretical Computer Science Conference (ITCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 185, pp. 33:1-33:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{ronzewi_et_al:LIPIcs.ITCS.2021.33, author = {Ron-Zewi, Noga and Shaltiel, Ronen and Varma, Nithin}, title = {{Query Complexity Lower Bounds for Local List-Decoding and Hard-Core Predicates (Even for Small Rate and Huge Lists)}}, booktitle = {12th Innovations in Theoretical Computer Science Conference (ITCS 2021)}, pages = {33:1--33:18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-177-1}, ISSN = {1868-8969}, year = {2021}, volume = {185}, editor = {Lee, James R.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2021.33}, URN = {urn:nbn:de:0030-drops-135724}, doi = {10.4230/LIPIcs.ITCS.2021.33}, annote = {Keywords: Local list-decoding, Hard-core predicates, Black-box reduction, Hadamard code} }
Published in: LIPIcs, Volume 176, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)
Ronen Shaltiel. Is It Possible to Improve Yao’s XOR Lemma Using Reductions That Exploit the Efficiency of Their Oracle?. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 176, pp. 10:1-10:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{shaltiel:LIPIcs.APPROX/RANDOM.2020.10, author = {Shaltiel, Ronen}, title = {{Is It Possible to Improve Yao’s XOR Lemma Using Reductions That Exploit the Efficiency of Their Oracle?}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)}, pages = {10:1--10:20}, 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.2020.10}, URN = {urn:nbn:de:0030-drops-126138}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2020.10}, annote = {Keywords: Yao’s XOR lemma, Hardness amplification, black-box reductions} }
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