Published in: LIPIcs, Volume 264, 38th Computational Complexity Conference (CCC 2023)
Shuichi Hirahara, Zhenjian Lu, and Hanlin Ren. Bounded Relativization. In 38th Computational Complexity Conference (CCC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 264, pp. 6:1-6:45, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{hirahara_et_al:LIPIcs.CCC.2023.6, author = {Hirahara, Shuichi and Lu, Zhenjian and Ren, Hanlin}, title = {{Bounded Relativization}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {6:1--6:45}, 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.2023.6}, URN = {urn:nbn:de:0030-drops-182764}, doi = {10.4230/LIPIcs.CCC.2023.6}, annote = {Keywords: relativization, circuit lower bound, derandomization, explicit construction, pseudodeterministic algorithms, interactive proofs} }
Published in: LIPIcs, Volume 264, 38th Computational Complexity Conference (CCC 2023)
Dean Doron and Roei Tell. Derandomization with Minimal Memory Footprint. In 38th Computational Complexity Conference (CCC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 264, pp. 11:1-11:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{doron_et_al:LIPIcs.CCC.2023.11, author = {Doron, Dean and Tell, Roei}, title = {{Derandomization with Minimal Memory Footprint}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {11:1--11:15}, 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.2023.11}, URN = {urn:nbn:de:0030-drops-182816}, doi = {10.4230/LIPIcs.CCC.2023.11}, annote = {Keywords: derandomization, space-bounded computation, catalytic space} }
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 261, 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)
Lijie Chen, Xin Lyu, Avishay Tal, and Hongxun Wu. New PRGs for Unbounded-Width/Adaptive-Order Read-Once Branching Programs. In 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 261, pp. 39:1-39:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{chen_et_al:LIPIcs.ICALP.2023.39, author = {Chen, Lijie and Lyu, Xin and Tal, Avishay and Wu, Hongxun}, title = {{New PRGs for Unbounded-Width/Adaptive-Order Read-Once Branching Programs}}, booktitle = {50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)}, pages = {39:1--39:20}, 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.2023.39}, URN = {urn:nbn:de:0030-drops-180916}, doi = {10.4230/LIPIcs.ICALP.2023.39}, annote = {Keywords: pseudorandom generators, derandomization, read-once branching programs} }
Published in: LIPIcs, Volume 251, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023)
Lijie Chen. New Lower Bounds and Derandomization for ACC, and a Derandomization-Centric View on the Algorithmic Method. In 14th Innovations in Theoretical Computer Science Conference (ITCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 251, pp. 34:1-34:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{chen:LIPIcs.ITCS.2023.34, author = {Chen, Lijie}, title = {{New Lower Bounds and Derandomization for ACC, and a Derandomization-Centric View on the Algorithmic Method}}, booktitle = {14th Innovations in Theoretical Computer Science Conference (ITCS 2023)}, pages = {34:1--34:15}, 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.2023.34}, URN = {urn:nbn:de:0030-drops-175373}, doi = {10.4230/LIPIcs.ITCS.2023.34}, annote = {Keywords: Circuit Lower Bounds, Derandomization, Algorithmic Method, ACC} }
Published in: LIPIcs, Volume 251, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023)
Lijie Chen, Ryan Williams, and Tianqi Yang. Black-Box Constructive Proofs Are Unavoidable. In 14th Innovations in Theoretical Computer Science Conference (ITCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 251, pp. 35:1-35:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{chen_et_al:LIPIcs.ITCS.2023.35, author = {Chen, Lijie and Williams, Ryan and Yang, Tianqi}, title = {{Black-Box Constructive Proofs Are Unavoidable}}, booktitle = {14th Innovations in Theoretical Computer Science Conference (ITCS 2023)}, pages = {35:1--35:24}, 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.2023.35}, URN = {urn:nbn:de:0030-drops-175380}, doi = {10.4230/LIPIcs.ITCS.2023.35}, annote = {Keywords: Circuit lower bounds, natural proofs, probabilistic checkable proofs} }
Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Halley Goldberg, Valentine Kabanets, Zhenjian Lu, and Igor C. Oliveira. Probabilistic Kolmogorov Complexity with Applications to Average-Case Complexity. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 16:1-16:60, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{goldberg_et_al:LIPIcs.CCC.2022.16, author = {Goldberg, Halley and Kabanets, Valentine and Lu, Zhenjian and Oliveira, Igor C.}, title = {{Probabilistic Kolmogorov Complexity with Applications to Average-Case Complexity}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {16:1--16:60}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-241-9}, ISSN = {1868-8969}, year = {2022}, volume = {234}, editor = {Lovett, Shachar}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2022.16}, URN = {urn:nbn:de:0030-drops-165785}, doi = {10.4230/LIPIcs.CCC.2022.16}, annote = {Keywords: average-case complexity, Kolmogorov complexity, meta-complexity, worst-case to average-case reductions, learning} }
Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Amol Aggarwal and Josh Alman. Optimal-Degree Polynomial Approximations for Exponentials and Gaussian Kernel Density Estimation. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 22:1-22:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{aggarwal_et_al:LIPIcs.CCC.2022.22, author = {Aggarwal, Amol and Alman, Josh}, title = {{Optimal-Degree Polynomial Approximations for Exponentials and Gaussian Kernel Density Estimation}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {22:1--22:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-241-9}, ISSN = {1868-8969}, year = {2022}, volume = {234}, editor = {Lovett, Shachar}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2022.22}, URN = {urn:nbn:de:0030-drops-165846}, doi = {10.4230/LIPIcs.CCC.2022.22}, annote = {Keywords: polynomial approximation, kernel density estimation, Chebyshev polynomials} }
Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Lijie Chen, Jiatu Li, and Tianqi Yang. Extremely Efficient Constructions of Hash Functions, with Applications to Hardness Magnification and PRFs. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 23:1-23:37, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{chen_et_al:LIPIcs.CCC.2022.23, author = {Chen, Lijie and Li, Jiatu and Yang, Tianqi}, title = {{Extremely Efficient Constructions of Hash Functions, with Applications to Hardness Magnification and PRFs}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {23:1--23:37}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-241-9}, ISSN = {1868-8969}, year = {2022}, volume = {234}, editor = {Lovett, Shachar}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2022.23}, URN = {urn:nbn:de:0030-drops-165852}, doi = {10.4230/LIPIcs.CCC.2022.23}, annote = {Keywords: Almost universal hash functions, hardness magnification, pseudorandom functions} }
Published in: LIPIcs, Volume 234, 37th Computational Complexity Conference (CCC 2022)
Xin Lyu. Improved Pseudorandom Generators for AC⁰ Circuits. In 37th Computational Complexity Conference (CCC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 234, pp. 34:1-34:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{lyu:LIPIcs.CCC.2022.34, author = {Lyu, Xin}, title = {{Improved Pseudorandom Generators for AC⁰ Circuits}}, booktitle = {37th Computational Complexity Conference (CCC 2022)}, pages = {34:1--34:25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-241-9}, ISSN = {1868-8969}, year = {2022}, volume = {234}, editor = {Lovett, Shachar}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2022.34}, URN = {urn:nbn:de:0030-drops-165963}, doi = {10.4230/LIPIcs.CCC.2022.34}, annote = {Keywords: pseudorandom generators, derandomization, switching Lemmas, AC⁰} }
Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)
Shyan Akmal, Lijie Chen, Ce Jin, Malvika Raj, and Ryan Williams. Improved Merlin-Arthur Protocols for Central Problems in Fine-Grained Complexity. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 3:1-3:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{akmal_et_al:LIPIcs.ITCS.2022.3, author = {Akmal, Shyan and Chen, Lijie and Jin, Ce and Raj, Malvika and Williams, Ryan}, title = {{Improved Merlin-Arthur Protocols for Central Problems in Fine-Grained Complexity}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {3:1--3:25}, 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.2022.3}, URN = {urn:nbn:de:0030-drops-155991}, doi = {10.4230/LIPIcs.ITCS.2022.3}, annote = {Keywords: Fine-grained complexity, Merlin-Arthur proofs} }
Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)
Lijie Chen, Shuichi Hirahara, and Neekon Vafa. Average-Case Hardness of NP and PH from Worst-Case Fine-Grained Assumptions. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 45:1-45:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{chen_et_al:LIPIcs.ITCS.2022.45, author = {Chen, Lijie and Hirahara, Shuichi and Vafa, Neekon}, title = {{Average-Case Hardness of NP and PH from Worst-Case Fine-Grained Assumptions}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {45:1--45:16}, 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.2022.45}, URN = {urn:nbn:de:0030-drops-156411}, doi = {10.4230/LIPIcs.ITCS.2022.45}, annote = {Keywords: Average-case complexity, worst-case to average-case reduction} }
Published in: LIPIcs, Volume 215, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022)
Nai-Hui Chia, Chi-Ning Chou, Jiayu Zhang, and Ruizhe Zhang. Quantum Meets the Minimum Circuit Size Problem. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 47:1-47:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{chia_et_al:LIPIcs.ITCS.2022.47, author = {Chia, Nai-Hui and Chou, Chi-Ning and Zhang, Jiayu and Zhang, Ruizhe}, title = {{Quantum Meets the Minimum Circuit Size Problem}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {47:1--47:16}, 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.2022.47}, URN = {urn:nbn:de:0030-drops-156433}, doi = {10.4230/LIPIcs.ITCS.2022.47}, annote = {Keywords: Quantum Computation, Quantum Complexity, Minimum Circuit Size Problem} }
Published in: LIPIcs, Volume 200, 36th Computational Complexity Conference (CCC 2021)
Hanlin Ren and Rahul Santhanam. Hardness of KT Characterizes Parallel Cryptography. In 36th Computational Complexity Conference (CCC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 200, pp. 35:1-35:58, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{ren_et_al:LIPIcs.CCC.2021.35, author = {Ren, Hanlin and Santhanam, Rahul}, title = {{Hardness of KT Characterizes Parallel Cryptography}}, booktitle = {36th Computational Complexity Conference (CCC 2021)}, pages = {35:1--35:58}, 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.2021.35}, URN = {urn:nbn:de:0030-drops-143091}, doi = {10.4230/LIPIcs.CCC.2021.35}, annote = {Keywords: one-way function, meta-complexity, KT complexity, parallel cryptography, randomized encodings} }
Published in: LIPIcs, Volume 198, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)
Lijie Chen, Zhenjian Lu, Xin Lyu, and Igor C. Oliveira. Majority vs. Approximate Linear Sum and Average-Case Complexity Below NC¹. In 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 198, pp. 51:1-51:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
@InProceedings{chen_et_al:LIPIcs.ICALP.2021.51, author = {Chen, Lijie and Lu, Zhenjian and Lyu, Xin and Oliveira, Igor C.}, title = {{Majority vs. Approximate Linear Sum and Average-Case Complexity Below NC¹}}, booktitle = {48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)}, pages = {51:1--51:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-195-5}, ISSN = {1868-8969}, year = {2021}, volume = {198}, editor = {Bansal, Nikhil and Merelli, Emanuela and Worrell, James}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2021.51}, URN = {urn:nbn:de:0030-drops-141202}, doi = {10.4230/LIPIcs.ICALP.2021.51}, annote = {Keywords: circuit complexity, average-case hardness, complexity lower bounds} }
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