Published in: LIPIcs, Volume 264, 38th Computational Complexity Conference (CCC 2023)
Abhranil Chatterjee, Sumanta Ghosh, Rohit Gurjar, and Roshan Raj. Border Complexity of Symbolic Determinant Under Rank One Restriction. In 38th Computational Complexity Conference (CCC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 264, pp. 2:1-2:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)
@InProceedings{chatterjee_et_al:LIPIcs.CCC.2023.2, author = {Chatterjee, Abhranil and Ghosh, Sumanta and Gurjar, Rohit and Raj, Roshan}, title = {{Border Complexity of Symbolic Determinant Under Rank One Restriction}}, booktitle = {38th Computational Complexity Conference (CCC 2023)}, pages = {2:1--2:15}, 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.2023.2}, URN = {urn:nbn:de:0030-drops-182721}, doi = {10.4230/LIPIcs.CCC.2023.2}, annote = {Keywords: Border Complexity, Symbolic Determinant, Valuated Matroid} }
Published in: LIPIcs, Volume 207, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)
Vishwas Bhargava and Sumanta Ghosh. Improved Hitting Set for Orbit of ROABPs. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 207, pp. 30:1-30:23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{bhargava_et_al:LIPIcs.APPROX/RANDOM.2021.30, author = {Bhargava, Vishwas and Ghosh, Sumanta}, title = {{Improved Hitting Set for Orbit of ROABPs}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)}, pages = {30:1--30:23}, 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.2021.30}, URN = {urn:nbn:de:0030-drops-147231}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2021.30}, annote = {Keywords: Hitting Set, Low Cone Concentration, Orbits, PIT, ROABP} }
Published in: LIPIcs, Volume 207, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)
Sumanta Ghosh and Rohit Gurjar. Matroid Intersection: A Pseudo-Deterministic Parallel Reduction from Search to Weighted-Decision. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 207, pp. 41:1-41:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{ghosh_et_al:LIPIcs.APPROX/RANDOM.2021.41, author = {Ghosh, Sumanta and Gurjar, Rohit}, title = {{Matroid Intersection: A Pseudo-Deterministic Parallel Reduction from Search to Weighted-Decision}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)}, pages = {41:1--41:16}, 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.2021.41}, URN = {urn:nbn:de:0030-drops-147342}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2021.41}, annote = {Keywords: Linear Matroid, Matroid Intersection, Parallel Complexity, Pseudo-deterministic NC} }
Published in: LIPIcs, Volume 176, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)
Zeyu Guo and Rohit Gurjar. Improved Explicit Hitting-Sets for ROABPs. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 176, pp. 4:1-4:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)
@InProceedings{guo_et_al:LIPIcs.APPROX/RANDOM.2020.4, author = {Guo, Zeyu and Gurjar, Rohit}, title = {{Improved Explicit Hitting-Sets for ROABPs}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)}, pages = {4:1--4:16}, 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.2020.4}, URN = {urn:nbn:de:0030-drops-126076}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2020.4}, annote = {Keywords: polynomial identity testing, hitting-set, ROABP, arithmetic branching programs, derandomization} }
Published in: LIPIcs, Volume 169, 35th Computational Complexity Conference (CCC 2020)
Amit Sinhababu and Thomas Thierauf. Factorization of Polynomials Given By Arithmetic Branching Programs. In 35th Computational Complexity Conference (CCC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 169, pp. 33:1-33:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)
@InProceedings{sinhababu_et_al:LIPIcs.CCC.2020.33, author = {Sinhababu, Amit and Thierauf, Thomas}, title = {{Factorization of Polynomials Given By Arithmetic Branching Programs}}, booktitle = {35th Computational Complexity Conference (CCC 2020)}, pages = {33:1--33:19}, 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.2020.33}, URN = {urn:nbn:de:0030-drops-125854}, doi = {10.4230/LIPIcs.CCC.2020.33}, annote = {Keywords: Arithmetic Branching Program, Multivariate Polynomial Factorization, Hensel Lifting, Newton Iteration, Hardness vs Randomness} }
Published in: LIPIcs, Volume 137, 34th Computational Complexity Conference (CCC 2019)
Ashish Dwivedi, Rajat Mittal, and Nitin Saxena. Counting Basic-Irreducible Factors Mod p^k in Deterministic Poly-Time and p-Adic Applications. In 34th Computational Complexity Conference (CCC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 137, pp. 15:1-15:29, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2019)
@InProceedings{dwivedi_et_al:LIPIcs.CCC.2019.15, author = {Dwivedi, Ashish and Mittal, Rajat and Saxena, Nitin}, title = {{Counting Basic-Irreducible Factors Mod p^k in Deterministic Poly-Time and p-Adic Applications}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {15:1--15:29}, 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.2019.15}, URN = {urn:nbn:de:0030-drops-108373}, doi = {10.4230/LIPIcs.CCC.2019.15}, annote = {Keywords: deterministic, root, counting, modulo, prime-power, tree, basic irreducible, unramified} }
Published in: LIPIcs, Volume 107, 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Michael A. Forbes, Sumanta Ghosh, and Nitin Saxena. Towards Blackbox Identity Testing of Log-Variate Circuits. In 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 107, pp. 54:1-54:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
@InProceedings{forbes_et_al:LIPIcs.ICALP.2018.54, author = {Forbes, Michael A. and Ghosh, Sumanta and Saxena, Nitin}, title = {{Towards Blackbox Identity Testing of Log-Variate Circuits}}, booktitle = {45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)}, pages = {54:1--54:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-076-7}, ISSN = {1868-8969}, year = {2018}, volume = {107}, editor = {Chatzigiannakis, Ioannis and Kaklamanis, Christos and Marx, D\'{a}niel and Sannella, Donald}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2018.54}, URN = {urn:nbn:de:0030-drops-90582}, doi = {10.4230/LIPIcs.ICALP.2018.54}, annote = {Keywords: hitting-set, depth-3, diagonal, derandomization, polynomial identity testing, log-variate, concentration, cone closed, basis isolation} }
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