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Podolskii Vladimir Vladimirovich

Publications


| by years | scientific publications | by types |



   2024
1. Pablo Barceló, Alexander Kozachinskiy, Anthony Widjaja Lin, Vladimir V. Podolskii, “Logical Languages Accepted by Transformer Encoders with Hard Attention”, The Twelfth International Conference on Learning Representations, {ICLR} 2024, Vienna, Austria, May 7-11, 2024, OpenReview.net, 2024, 1-11 https://openreview.net/forum?id=gbrHZq07mq
2. Vladimir V. Podolskii and Dmitrii Sluch, “One-Way Communication Complexity of Partial XOR Functions”, 51st International Colloquium on Automata, Languages, and Programming, ICALP 2024, July 8-12, 2024, Tallinn, Estonia, LIPIcs, 2024, 116 , 16 pp.  crossref
3. Natalia Dobrokhotova-Maikova, Alexander Kozachinskiy, Vladimir V. Podolskii, “Towards Simpler Sorting Networks and Monotone Circuits for Majority”, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, APPROX/RANDOM 2024, August 28-30, 2024, London School of Economics, London, UK, LIPIcs, 2024, 50 , 18 pp.  crossref
4. Vladimir Podolskii, Victor Selivanov, “Complexity Aspects of the Extension of Wagner's Hierarchy to k-Partitions”, Proceedings 14th International Workshop on Non-Classical Models of Automata and Applications, Electronic Proceedings in Theoretical Computer Science, 407, Open Publishing Association, 2024, 186–197  crossref

   2023
5. Natalia Dobrokhotova-Maikova, Alexander Kozachinskiy, Vladimir Podolskii, “Constant-Depth Sorting Networks”, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023), Leibniz Internat. Proc. in Inform., 251, 2023, 43 , 19 pp.  mathnet  crossref  mathscinet;

   2022
6. Anastasiya Chistopolskaya, Vladimir V. Podolskii, “On the Decision Tree Complexity of Threshold Functions”, Theory Comput. Syst., 66 (2022), 1074–1098  mathnet  crossref  mathscinet;
7. Olga Gerasimova, Stanislav Kikot, Agi Kurucz, Vladimir Podolskii, Michael Zakharyaschev, “A tetrachotomy of ontology-mediated queries with a covering axiom”, Artif. Intell., 309 (2022), 103738 , 46 pp.  mathnet  crossref  mathscinet;
8. Vladimir Podolskii, Nikolay V. Proskurin, “Polynomial threshold functions for decision lists”, 33rd International Symposium on Algorithms and Computation (ISAAC 2022), Leibniz Internat. Proc. in Inform., 248, 2022, 52:1–52:12  mathnet  crossref  mathscinet;
9. Alexander Kozachinskiy, Vladimir Podolskii, “Multiparty Karchmer–Wigderson games and threshold circuits”, Theory Comput., 18 (2022), 15 , 33 pp.  mathnet  crossref  mathscinet  isi;

   2021
10. V. S. Atabekyan, L. D. Beklemishev, V. M. Buchstaber, S. S. Goncharov, V. S. Guba, Yu. L. Ershov, V. V. Kozlov, I. G. Lysenok, S. P. Novikov, Yu. S. Osipov, M. R. Pentus, V. V. Podolskii, A. A. Razborov, V. A. Sadovnichii, A. L. Semenov, A. L. Talambutsa, D. V. Treschev, L. N. Shevrin, “Sergei Ivanovich Adian (obituary)”, Russian Math. Surveys, 76:1 (2021), 177–181  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
11. L. Babai, K. A. Hansen, V. V. Podolskii, Xiaoming Sun, “Weights of exact threshold functions”, Izv. Math., 85:6 (2021), 1039–1059  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2020
12. Fedor V. Fomin, Vladimir V. Podolskii, “CSR 2018 Special Issue on TOCS”, Theory Comput. Syst., 64 (2020), 1–2  mathnet  crossref  mathscinet  zmath  isi  scopus;
13. Olga Gerasimova, Stanislav Kikot, Agi Kurucz, Vladimir Podolskii, Michael Zakharyaschev, “A Data Complexity and Rewritability Tetrachotomy of Ontology-Mediated Queries with a Covering Axiom”, Proceedings of the 17th International Conference on Principles of Knowledge Representation and Reasoning, IJCAI Organization, 2020, 403–413  crossref  isi
14. Alexander Kozachinskiy, Vladimir Podolski, “Multiparty Karchmer – Wigderson Games and Threshold Circuits”, 35th Computational Complexity Conference, CCC 2020, July 28-31, 2020, Saarbrücken, Germany, Leibniz Internat. Proc. in Inform., 169, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, 24 , 23 pp.  mathnet  crossref  scopus;
15. Anastasiya Chistopolskaya, Vladimir V. Podolskii, “On the Decision Tree Complexity of Threshold Functions”, Computer Science - Theory and Applications - 15th International Computer Science Symposium in Russia, CSR 2020, Yekaterinburg, Russia, June 29 - July 3, 2020, Lecture Notes in Comput. Sci., 12159, Springer, Cham, 2020, 198–210  mathnet  crossref  scopus;
16. Dima Grigoriev, Vladimir V. Podolskii, “Tropical Combinatorial Nullstellensatz and sparse polynomials”, Found. Comput. Math., 20 (2020), 753–781  mathnet  crossref  mathscinet  isi  scopus;
17. Vladimir V. Podolskii, Alexander A. Sherstov, “Inner Product and Set Disjointness: Beyond Logarithmically Many Parties”, ACM Trans. Comput. Theory, 12:4 (2020), 26 , 28 pp.  mathnet  crossref  isi  scopus;

   2019
18. Alexander S. Kulikov, Vladimir V. Podolskii, “Computing Majority by Constant Depth Majority Circuits with Low Fan-in Gates”, Theory Comput. Syst., 63:5 (2019), 956–986  mathnet  crossref  mathscinet  zmath  isi  scopus
19. A. S. Kulikov, I. Mikhailin, A. Mokhov, V. V. Podolskii, “Complexity of Linear Operators”, 30th International Symposium on Algorithms and Computation (ISAAC 2019), Shanghai University of Finance and Economics, in ShanghaiShanghai; China; 8 December 2019 – 11 December 2019, Leibniz Internat. Proc. in Inform., 149, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2019, 17, 1–12  mathnet  crossref  scopus;

   2018
20. Dima Grigoriev, Vladimir V. Podolskii, “Tropical effective primary and dual nullstellensätze”, Discrete Comput. Geom., 59:3 (2018), 507–552  mathnet  crossref  mathscinet  isi  scopus
21. Meghyn Bienvenu, Stanislav Kikot, Roman Kontchakov, Vladimir V. Podolskii, Michael Zakharyaschev, “Ontology-mediated queries: Combined complexity and succinctness of rewritings via circuit complexity”, Journal of the ACM, 65:5 (2018), 28 , 51 pp.  mathnet  crossref  mathscinet  zmath  isi  scopus
22. Fedor V. Fomin, Vladimir V. Podolskii (eds.), Computer Science - Theory and Applications - 13th International Computer Science Symposium in Russia, CSR 2018, Moscow, Russia, June 6-10, 2018, Proceedings, Lecture Notes in Computer Science 10846, Springer, 2018 https://link.springer.com/book/10.1007  mathscinet

   2017
23. Vladimir V. Podolskii, “Bounds in Ontology-Based Data Access via Circuit Complexity”, Theory Comput. Syst., 61:2 (2017), 464–493  mathnet  crossref  mathscinet  isi  elib  scopus
24. M. Bienvenu, S. Kikot, R. Kontchakov, V. V. Podolskii, V. Ryzhikov, M. Zakharyaschev, “The complexity of ontology-based data access with OWL2QL and bounded treewidth queries”, Proceedings of the ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, 36th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems, PODS 2017, Volume Part F127745, 9 May 2017 (Chicago, United States, 14 May 2017 do 19 May 2017, Kod 127745), 2017, 201–216  crossref  mathscinet  isi  scopus
25. O. A. Gerasimova, S. P. Kikot, V. V. Podolskii, M. Zakharyaschev, “More on the Data Complexity of Answering Ontology-Mediated Queries with a Covering Axiom”, International Conference on Knowledge Engineering and the Semantic Web KESW 2017: Knowledge Engineering and Semantic Web, Commun. Comput. Inf. Sci., 786, Springer, 2017, 143–158  mathnet  crossref  mathscinet  elib  scopus
26. A. S. Kulikov, V. V. Podolskii, “Computing Majority by Constant Depth Majority Circuits with Low Fan-in Gates”, 34th Symposium on Theoretical Aspects of Computer Science (STACS 2017), Leibniz Internat. Proc. in Inform., 66, no. 49, 2017, 1–14  mathnet  crossref  isi  scopus
27. D. Yu. Grigor'ev, V. V. Podolskii, “Tropical Combinatorial Nullstellensatz and Fewnomials Testing”, International Symposium on Fundamentals of Computation Theory FCT 2017: Fundamentals of Computation Theory, Lecture Notes in Comput. Sci., 10472, Springer, 2017, 284–297  mathnet  crossref  mathscinet  isi  scopus
28. O. Gerasimova, S. Kikot, V. Podolskii, M. Zakharyaschev, “On the data complexity of ontology-mediated queries with a covering axiom”, Proceedings of the 30th International Workshop on Description Logics (Montpellier, France, 18 July 2017 - 21 July 2017), CEUR Workshop Proceedings, 1879, CEUR-WS, 2017, 39 , 12 pp.  mathnet  scopus

   2016
29. M. Bienvenu, S. Kikot, R. Kontchakov, V. Podolskii, M. Zakharyaschev, “Theoretically optimal datalog rewritings for OWL 2 QL ontology-mediated queries” (Cape Town, South Africa, 22 April 2016 – 25 April 2016), CEUR Workshop Proceedings, 1577, 2016 , arXiv: 1604.05258  mathnet  elib  scopus

   2015
30. K. A. Hansen, V. V. Podolskii, “Polynomial threshold functions and Boolean threshold circuits”, Inform. and Comput., 240 (2015), 56–73  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
31. Dima Grigoriev, Vladimir V. Podolskii, “Complexity of tropical and min-plus linear prevarieties”, Comput. Complexity, 24:1 (2015), 31–64 http://www.mpim-bonn.mpg.de/preblob/5202, arXiv: 1204.4578  mathnet  crossref  mathscinet  zmath  isi  scopus
32. D. Grigoriev, V. V. Podolskii, “Tropical effective primary and dual Nullstellensätze”, 32nd International Symposium on Theoretical Aspects of Computer Science, LIPIcs. Leibniz Int. Proc. Inform., 30, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2015, 379–391  mathnet  crossref  mathscinet  zmath  scopus
33. V. V. Podolskii, “Circuit complexity meets ontology-based data access”, 10th International Computer Science Symposium in Russia, CSR 2015, Listvyanka, Russia, July 13–17, 2015, Proceedings, Lecture Notes in Comput. Sci., 9139, 2015, 7–26 , arXiv: 1506.01296  mathnet  crossref  mathscinet  zmath  scopus
34. Meghyn Bienvenu, Stanislav Kikot, Vladimir V. Podolskii, “Tree-like Queries in OWL 2 QL: Succinctness and Complexity Results”, 30th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), IEEE, 2015, 317–328  mathnet  crossref  isi  scopus

   2014
35. Georg Gottlob, Stanislav Kikot, Roman Kontchakov, Vladimir V. Podolskii, Thomas Schwentick, Michael Zakharyaschev, “The price of query rewriting in ontology-based data access”, Artificial Intelligence, 213 (2014), 42–59  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
36. Stanislav Kikot, Roman Kontchakov, Vladimir V. Podolskii, Michael Zakharyaschev, “On the Succinctness of Query Rewriting over OWL 2 QL Ontologies with Bounded Chase”, Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), ACM Digital Library, 2014, 57:1–57:10 , arXiv: 1401.4420  zmath
37. M. Bienvenu, S. Kikot, V. Podolskii, “Succinctness of Query Rewriting in OWL 2 QL: The Case of Tree-like Queries”, Description Logics 2014, CEUR Workshop Proceedings, 1193, 2014, 45–57 http://ceur-ws.org/Vol-1193/paper_43.pdf  mathnet  scopus

   2013
38. V. V. Podolskii, “Lower bound on weights of large degree threshold functions”, Log. Methods Comput. Sci., 9:2 (2013), 13 , 17 pp.  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
39. K. A. Hansen, V. V. Podolskii, “Polynomial threshold functions and Boolean threshold circuits”, Mathematical Foundations of Computer Science 2013, 38th International Symposium, MFCS 2013 (Klosterneuburg, Austria, August 26–30, 2013), Proceedings, Lecture Notes in Computer Science, 8087, Springer, Berlin–Heidelberg, 2013, 516–527 http://eccc.hpi-web.de/report/2013/021/  mathnet  crossref  mathscinet  zmath  isi  scopus
40. S. Kikot, R. Kontchakov, V. Podolskii, M. Zakharyaschev, “Query Rewriting over Shallow Ontologies”, Description Logics 2013, Informal Proceedings of the 26th International Workshop on Description Logics (Ulm, Germany, July 23–26, 2013), CEUR Workshop Proceedings, 1014, 2013, 316–327  mathnet  scopus
41. K. A. Hansen, R. Ibsen-Jensen, V. V. Podolskii, E. Tsigaridas, “Patience of matrix games”, Discrete Appl. Math., 161:16 (2013), 2440–2459  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2012
42. V. V. Podolskii, “Exponential lower bound for bounded depth circuits with few threshold gates”, Inform. Process. Lett., 112:7 (2012), 267–271  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
43. V. V. Podolskii, “Lower bound on weights of large degree threshold functions”, How the World Computes, Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012 (Cambridge, UK, June 18–23, 2012), Proceedings, Lecture Notes in Comput. Sci., 7318, Springer–Berlin–Heidelberg, 2012, 599–608 , arXiv: 1204.2652  mathnet  crossref  mathscinet  zmath  scopus
44. K. A. Hansen, R. Ibsen-Jensen, V. V. Podolskii, E. P. Tsigaridas, Patience of matrix games, 2012 , 32 pp., arXiv: 1206.1751
45. S. Kikot, R. Kontchakov, V. V. Podolskii, M. Zakharyaschev, “Exponential lower bounds and separation for query rewriting”, Automata, Languages, and Programming, 39th International Colloquium, ICALP 2012 (Warwick, UK, July 9–13, 2012), Proceedings, Part II, Lecture Notes in Comput. Sci., 7392, Springer Berlin Heidelberg, 2012, 263–274 , arXiv: 1202.4193  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2011
46. Vladimir V. Podolskii, “Degree-uniform lower bound on the weights of polynomials with given sign function”, Proc. Steklov Inst. Math., 274 (2011), 231–246  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2010
47. V. V. Podolskii, A. A. Sherstov, “A Small Decrease in the Degree of a Polynomial with a Given Sign Function Can Exponentially Increase Its Weight and Length”, Math. Notes, 87:6 (2010), 860–873  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
48. K. A. Hansen, V. V. Podolskii, “Exact threshold circuits”, Proc. of 25th Annual IEEE Conference on Computational Complexity (CCC), IEEE Computer Soc., Los Alamitos, CA, 2010, 270–279  crossref  mathscinet  isi  scopus
49. L. Babai, K. A. Hansen, V. Podolskii, Sun Xiaoming, “Weights of exact threshold functions”, Mathematical foundations of computer science 2010, Proc. of 35th International Symposium on Mathematical Foundations of Computer Science (MFCS) (Brno, Czech Republic, 2010), Lecture Notes in Comput. Sci., 6281, Springer, Berlin, 2010, 66–77  crossref  mathscinet  zmath  isi  scopus

   2009
50. V. V. Podolskii, “Perceptrons of large weight”, Problems Inform. Transmission, 45:1 (2009), 46–53  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
51. V. V. Podolskii, A. A. Sherstov, “Reducing by 1 the degree of a polynomial with fixed sign function can increase exponentially its weight and length”, Russian Math. Surveys, 64:5 (2009), 950–951  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2008
52. V. V. Podolskii, “A uniform lower bound on weights of perceptrons”, Computer science—theory and applications, Lecture Notes in Comput. Sci., 5010, Springer, Berlin, 2008, 261–272  crossref  mathscinet  zmath  isi  scopus
Full list of publications


© Steklov Math. Inst. of RAS, 2025