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)
Joshua Cook and Dana Moshkovitz. Explicit Time and Space Efficient Encoders Exist Only with Random Access. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 5:1-5:54, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{cook_et_al:LIPIcs.CCC.2024.5, author = {Cook, Joshua and Moshkovitz, Dana}, title = {{Explicit Time and Space Efficient Encoders Exist Only with Random Access}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {5:1--5:54}, 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.2024.5}, URN = {urn:nbn:de:0030-drops-204015}, doi = {10.4230/LIPIcs.CCC.2024.5}, annote = {Keywords: Time-Space Trade Offs, Error Correcting Codes, Encoders, Explicit Constructions, Streaming Lower Bounds, Sequential Access, Time-Space Lower Bounds, Lossless Condensers, Invertible Condensers, Condensers} }
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)
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)
Sreejata Kishor Bhattacharya, Arkadev Chattopadhyay, and Pavel Dvořák. Exponential Separation Between Powers of Regular and General Resolution over Parities. In 39th Computational Complexity Conference (CCC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 300, pp. 23:1-23:32, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{bhattacharya_et_al:LIPIcs.CCC.2024.23, author = {Bhattacharya, Sreejata Kishor and Chattopadhyay, Arkadev and Dvo\v{r}\'{a}k, Pavel}, title = {{Exponential Separation Between Powers of Regular and General Resolution over Parities}}, booktitle = {39th Computational Complexity Conference (CCC 2024)}, pages = {23:1--23:32}, 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.2024.23}, URN = {urn:nbn:de:0030-drops-204191}, doi = {10.4230/LIPIcs.CCC.2024.23}, annote = {Keywords: Proof Complexity, Regular Reslin, Branching Programs, Lifting} }
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)
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 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Eshan Chattopadhyay, Jesse Goodman, and Mohit Gurumukhani. Extractors for Polynomial Sources over 𝔽₂. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 28:1-28:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{chattopadhyay_et_al:LIPIcs.ITCS.2024.28, author = {Chattopadhyay, Eshan and Goodman, Jesse and Gurumukhani, Mohit}, title = {{Extractors for Polynomial Sources over \mathbb{F}₂}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {28:1--28:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.28}, URN = {urn:nbn:de:0030-drops-195569}, doi = {10.4230/LIPIcs.ITCS.2024.28}, annote = {Keywords: Extractors, low-degree polynomials, varieties, sumset extractors} }
Published in: LIPIcs, Volume 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Eshan Chattopadhyay and Jyun-Jie Liao. Recursive Error Reduction for Regular Branching Programs. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 29:1-29:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{chattopadhyay_et_al:LIPIcs.ITCS.2024.29, author = {Chattopadhyay, Eshan and Liao, Jyun-Jie}, title = {{Recursive Error Reduction for Regular Branching Programs}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {29:1--29:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.29}, URN = {urn:nbn:de:0030-drops-195571}, doi = {10.4230/LIPIcs.ITCS.2024.29}, annote = {Keywords: read-once branching program, regular branching program, weighted pseudorandom generator, derandomization} }
Published in: LIPIcs, Volume 264, 38th Computational Complexity Conference (CCC 2023)
Eshan Chattopadhyay and Jyun-Jie Liao. Hardness Against Linear Branching Programs and More. In 38th Computational Complexity Conference (CCC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 264, pp. 9:1-9:27, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{chattopadhyay_et_al:LIPIcs.CCC.2023.9, author = {Chattopadhyay, Eshan and Liao, Jyun-Jie}, title = {{Hardness Against Linear Branching Programs and More}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {9:1--9:27}, 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.2023.9}, URN = {urn:nbn:de:0030-drops-182794}, doi = {10.4230/LIPIcs.CCC.2023.9}, annote = {Keywords: linear branching programs, circuit lower bound, sumset extractors, hitting sets} }
Published in: LIPIcs, Volume 229, 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)
Omar Alrabiah, Eshan Chattopadhyay, Jesse Goodman, Xin Li, and João Ribeiro. Low-Degree Polynomials Extract From Local Sources. In 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 229, pp. 10:1-10:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{alrabiah_et_al:LIPIcs.ICALP.2022.10, author = {Alrabiah, Omar and Chattopadhyay, Eshan and Goodman, Jesse and Li, Xin and Ribeiro, Jo\~{a}o}, title = {{Low-Degree Polynomials Extract From Local Sources}}, booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)}, pages = {10:1--10:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-235-8}, ISSN = {1868-8969}, year = {2022}, volume = {229}, editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2022.10}, URN = {urn:nbn:de:0030-drops-163519}, doi = {10.4230/LIPIcs.ICALP.2022.10}, annote = {Keywords: Randomness extractors, local sources, samplable sources, AC⁰ circuits, branching programs, low-degree polynomials, Chevalley-Warning} }
Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)
Eshan Chattopadhyay, Jesse Goodman, and David Zuckerman. The Space Complexity of Sampling. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 40:1-40:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{chattopadhyay_et_al:LIPIcs.ITCS.2022.40, author = {Chattopadhyay, Eshan and Goodman, Jesse and Zuckerman, David}, title = {{The Space Complexity of Sampling}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {40:1--40:23}, 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.2022.40}, URN = {urn:nbn:de:0030-drops-156366}, doi = {10.4230/LIPIcs.ITCS.2022.40}, annote = {Keywords: Complexity of distributions, complexity of sampling, extractors, list decodable codes, lower bounds, read-once branching programs, small-space computation} }
Published in: LIPIcs, Volume 207, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)
Uma Girish, Ran Raz, and Wei Zhan. Lower Bounds for XOR of Forrelations. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 207, pp. 52:1-52:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{girish_et_al:LIPIcs.APPROX/RANDOM.2021.52, author = {Girish, Uma and Raz, Ran and Zhan, Wei}, title = {{Lower Bounds for XOR of Forrelations}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)}, pages = {52:1--52:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-207-5}, ISSN = {1868-8969}, year = {2021}, volume = {207}, editor = {Wootters, Mary and Sanit\`{a}, Laura}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2021.52}, URN = {urn:nbn:de:0030-drops-147453}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2021.52}, annote = {Keywords: Forrelation, Quasipolynomial, Separation, Quantum versus Classical, Xor} }
Published in: LIPIcs, Volume 207, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)
Jarosław Błasiok, Peter Ivanov, Yaonan Jin, Chin Ho Lee, Rocco A. Servedio, and Emanuele Viola. Fourier Growth of Structured 𝔽₂-Polynomials and Applications. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 207, pp. 53:1-53:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{blasiok_et_al:LIPIcs.APPROX/RANDOM.2021.53, author = {B{\l}asiok, Jaros{\l}aw and Ivanov, Peter and Jin, Yaonan and Lee, Chin Ho and Servedio, Rocco A. and Viola, Emanuele}, title = {{Fourier Growth of Structured \mathbb{F}₂-Polynomials and Applications}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)}, pages = {53:1--53:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-207-5}, ISSN = {1868-8969}, year = {2021}, volume = {207}, editor = {Wootters, Mary and Sanit\`{a}, Laura}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2021.53}, URN = {urn:nbn:de:0030-drops-147462}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2021.53}, annote = {Keywords: Fourier analysis, Pseudorandomness, Fourier growth} }
Published in: LIPIcs, Volume 200, 36th Computational Complexity Conference (CCC 2021)
Eshan Chattopadhyay, Jason Gaitonde, Chin Ho Lee, Shachar Lovett, and Abhishek Shetty. Fractional Pseudorandom Generators from Any Fourier Level. In 36th Computational Complexity Conference (CCC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 200, pp. 10:1-10:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{chattopadhyay_et_al:LIPIcs.CCC.2021.10, author = {Chattopadhyay, Eshan and Gaitonde, Jason and Lee, Chin Ho and Lovett, Shachar and Shetty, Abhishek}, title = {{Fractional Pseudorandom Generators from Any Fourier Level}}, booktitle = {36th Computational Complexity Conference (CCC 2021)}, pages = {10:1--10:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-193-1}, ISSN = {1868-8969}, year = {2021}, volume = {200}, editor = {Kabanets, Valentine}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2021.10}, URN = {urn:nbn:de:0030-drops-142843}, doi = {10.4230/LIPIcs.CCC.2021.10}, annote = {Keywords: Derandomization, pseudorandomness, pseudorandom generators, Fourier analysis} }