Published in: LIPIcs, Volume 289, 41st International Symposium on Theoretical Aspects of Computer Science (STACS 2024)
Tameem Choudhury and Karteek Sreenivasaiah. Depth-3 Circuit Lower Bounds for k-OV. In 41st International Symposium on Theoretical Aspects of Computer Science (STACS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 289, pp. 25:1-25:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{choudhury_et_al:LIPIcs.STACS.2024.25, author = {Choudhury, Tameem and Sreenivasaiah, Karteek}, title = {{Depth-3 Circuit Lower Bounds for k-OV}}, booktitle = {41st International Symposium on Theoretical Aspects of Computer Science (STACS 2024)}, pages = {25:1--25:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-311-9}, ISSN = {1868-8969}, year = {2024}, volume = {289}, editor = {Beyersdorff, Olaf and Kant\'{e}, Mamadou Moustapha and Kupferman, Orna and Lokshtanov, Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2024.25}, URN = {urn:nbn:de:0030-drops-197359}, doi = {10.4230/LIPIcs.STACS.2024.25}, annote = {Keywords: fine grained complexity, k-OV, circuit lower bounds, depth-3 circuits} }
Published in: LIPIcs, Volume 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Gabriel Bathie and R. Ryan Williams. Towards Stronger Depth Lower Bounds. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 10:1-10:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{bathie_et_al:LIPIcs.ITCS.2024.10, author = {Bathie, Gabriel and Williams, R. Ryan}, title = {{Towards Stronger Depth Lower Bounds}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {10:1--10:24}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.10}, URN = {urn:nbn:de:0030-drops-195388}, doi = {10.4230/LIPIcs.ITCS.2024.10}, annote = {Keywords: DeMorgan formulas, depth complexity, circuit complexity, lower bounds, #SAT, NAND gates, SAT} }
Published in: LIPIcs, Volume 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)
Ce Jin, R. Ryan Williams, and Nathaniel Young. A VLSI Circuit Model Accounting for Wire Delay. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 66:1-66:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{jin_et_al:LIPIcs.ITCS.2024.66, author = {Jin, Ce and Williams, R. Ryan and Young, Nathaniel}, title = {{A VLSI Circuit Model Accounting for Wire Delay}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {66:1--66:22}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.66}, URN = {urn:nbn:de:0030-drops-195949}, doi = {10.4230/LIPIcs.ITCS.2024.66}, annote = {Keywords: circuit complexity, systolic arrays, VLSI, wire delay} }
Published in: LIPIcs, Volume 274, 31st Annual European Symposium on Algorithms (ESA 2023)
Shyan Akmal, Virginia Vassilevska Williams, Ryan Williams, and Zixuan Xu. Faster Detours in Undirected Graphs. In 31st Annual European Symposium on Algorithms (ESA 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 274, pp. 7:1-7:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{akmal_et_al:LIPIcs.ESA.2023.7, author = {Akmal, Shyan and Vassilevska Williams, Virginia and Williams, Ryan and Xu, Zixuan}, title = {{Faster Detours in Undirected Graphs}}, booktitle = {31st Annual European Symposium on Algorithms (ESA 2023)}, pages = {7:1--7:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-295-2}, ISSN = {1868-8969}, year = {2023}, volume = {274}, editor = {G{\o}rtz, Inge Li and Farach-Colton, Martin and Puglisi, Simon J. and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2023.7}, URN = {urn:nbn:de:0030-drops-186601}, doi = {10.4230/LIPIcs.ESA.2023.7}, annote = {Keywords: path finding, detours, parameterized complexity, exact algorithms} }
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-dev.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 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-dev.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-dev.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 251, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023)
Nikhil Vyas and Ryan Williams. On Oracles and Algorithmic Methods for Proving Lower Bounds. In 14th Innovations in Theoretical Computer Science Conference (ITCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 251, pp. 99:1-99:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
@InProceedings{vyas_et_al:LIPIcs.ITCS.2023.99, author = {Vyas, Nikhil and Williams, Ryan}, title = {{On Oracles and Algorithmic Methods for Proving Lower Bounds}}, booktitle = {14th Innovations in Theoretical Computer Science Conference (ITCS 2023)}, pages = {99:1--99:26}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2023.99}, URN = {urn:nbn:de:0030-drops-176021}, doi = {10.4230/LIPIcs.ITCS.2023.99}, annote = {Keywords: oracles, relativization, circuit complexity, missing string, exponential hierarchy} }
Published in: LIPIcs, Volume 241, 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)
Ronald Fagin, Jonathan Lenchner, Nikhil Vyas, and Ryan Williams. On the Number of Quantifiers as a Complexity Measure. In 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 241, pp. 48:1-48:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{fagin_et_al:LIPIcs.MFCS.2022.48, author = {Fagin, Ronald and Lenchner, Jonathan and Vyas, Nikhil and Williams, Ryan}, title = {{On the Number of Quantifiers as a Complexity Measure}}, booktitle = {47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)}, pages = {48:1--48:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-256-3}, ISSN = {1868-8969}, year = {2022}, volume = {241}, editor = {Szeider, Stefan and Ganian, Robert and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2022.48}, URN = {urn:nbn:de:0030-drops-168460}, doi = {10.4230/LIPIcs.MFCS.2022.48}, annote = {Keywords: number of quantifiers, multi-structural games, complexity measure, s-t connectivity, trees, rooted trees} }
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-dev.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-dev.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 219, 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)
András Z. Salamon and Michael Wehar. Superlinear Lower Bounds Based on ETH. In 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 219, pp. 55:1-55:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{salamon_et_al:LIPIcs.STACS.2022.55, author = {Salamon, Andr\'{a}s Z. and Wehar, Michael}, title = {{Superlinear Lower Bounds Based on ETH}}, booktitle = {39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)}, pages = {55:1--55:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-222-8}, ISSN = {1868-8969}, year = {2022}, volume = {219}, editor = {Berenbrink, Petra and Monmege, Benjamin}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.55}, URN = {urn:nbn:de:0030-drops-158652}, doi = {10.4230/LIPIcs.STACS.2022.55}, annote = {Keywords: Circuit Satisfiability, Conditional Lower Bounds, Exponential Time Hypothesis, Limited Nondeterminism} }
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-dev.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)
Brynmor Chapman and R. Ryan Williams. Smaller ACC0 Circuits for Symmetric Functions. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 38:1-38:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{chapman_et_al:LIPIcs.ITCS.2022.38, author = {Chapman, Brynmor and Williams, R. Ryan}, title = {{Smaller ACC0 Circuits for Symmetric Functions}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {38:1--38:19}, 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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2022.38}, URN = {urn:nbn:de:0030-drops-156342}, doi = {10.4230/LIPIcs.ITCS.2022.38}, annote = {Keywords: ACC, CC, circuit complexity, symmetric functions, Chinese Remainder Theorem} }
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-dev.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} }
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