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2020 – today
- 2024
[c38]Alexander Shen
:
Kolmogorov Complexity as a Combinatorial Tool. CiE 2024: 27-31- [c37]Luca Masserano, Alexander Shen, Michele Doro, Tommaso Dorigo, Rafael Izbicki, Ann B. Lee:
Classification under Nuisance Parameters and Generalized Label Shift in Likelihood-Free Inference. ICML 2024 - [i52]Luca Masserano, Alexander Shen, Michele Doro, Tommaso Dorigo, Rafael Izbicki, Ann B. Lee:
Classification under Nuisance Parameters and Generalized Label Shift in Likelihood-Free Inference. CoRR abs/2402.05330 (2024) - [i51]Alexander Shen:
Conditional normality and finite-state dimensions revisited. CoRR abs/2403.01534 (2024) - [i50]Alexander Shen:
Kolmogorov complexity as a combinatorial tool. CoRR abs/2405.09304 (2024) - 2023
- [j40]Ruslan Ishkuvatov, Daniil Musatov, Alexander Shen:
Approximating Kolmogorov complexity. Comput. 12(3): 283-297 (2023) - [j39]George Barmpalias, Alexander Shen:
The Kučera-Gács theorem revisited by Levin. Theor. Comput. Sci. 947: 113693 (2023) - [j38]Ilir Çapuni, Jarkko Kari, Alexander Shen:
Taming randomness and complexity - Essays in honour of Professor Péter Gács. Theor. Comput. Sci. 949: 113776 (2023) - [c36]Alexander Shen:
Inequalities for Entropies and Dimensions. CiE 2023: 120-131 - [i49]Alexander Shen:
The Kraft-Barmpalias-Lewis-Pye lemma revisited. CoRR abs/2304.04852 (2023) - 2022
- [j37]Bruno Bauwens, Péter Gács, Andrei E. Romashchenko, Alexander Shen:
Inequalities for space-bounded Kolmogorov complexity. Comput. 11(3-4): 165-185 (2022) - [j36]Alexander Shen:
Individual codewords. Theor. Comput. Sci. 908: 120-122 (2022) - [i48]Andrei E. Romashchenko, Alexander Shen, Marius Zimand:
27 Open Problems in Kolmogorov Complexity. CoRR abs/2203.15109 (2022) - [i47]Alexander Shen:
Inequalities for entropies and dimensions. CoRR abs/2209.07243 (2022) - 2021
- [j35]Alexander Kozachinskiy, Alexander Shen:
Automatic Kolmogorov complexity, normality, and finite-state dimension revisited. J. Comput. Syst. Sci. 118: 75-107 (2021) - [j34]Andrei E. Romashchenko, Alexander Shen, Marius Zimand:
27 Open Problems in Kolmogorov Complexity. SIGACT News 52(4): 31-54 (2021) - [i46]Alexander Shen:
Gács-Kučera's Theorem Revisited by Levin. CoRR abs/2111.00516 (2021) - [i45]Alexander Shen:
Individual codewords. CoRR abs/2111.00857 (2021) - 2020
- [j33]Bruno Durand, Alexander Shen, Nikolai K. Vereshchagin:
On the Structure of Ammann A2 Tilings. Discret. Comput. Geom. 63(3): 577-606 (2020) - [c35]Alexander Shen:
Randomness Tests: Theory and Practice. Fields of Logic and Computation III 2020: 258-290 - [i44]Alexander Shen:
Complexity of majorants. CoRR abs/2004.02844 (2020) - [i43]Péter Gács, Andrei E. Romashchenko, Alexander Shen:
Inequalities for space-bounded Kolmogorov complexity. CoRR abs/2010.10221 (2020)
2010 – 2019
- 2019
- [c34]Alexander Kozachinskiy, Alexander Shen:
Two Characterizations of Finite-State Dimension. FCT 2019: 80-94 - [c33]Gleb Posobin, Alexander Shen:
Random Noise Increases Kolmogorov Complexity and Hausdorff Dimension. STACS 2019: 57:1-57:14 - 2018
- [j32]Laurent Bienvenu, Santiago Figueira, Benoit Monin, Alexander Shen:
Algorithmic identification of probabilities is hard. J. Comput. Syst. Sci. 95: 98-108 (2018) - [j31]Noam Greenberg, Joseph S. Miller, Alexander Shen, Linda Brown Westrick:
Dimension 1 sequences are close to randoms. Theor. Comput. Sci. 705: 99-112 (2018) - [c32]Vladimir Uspenskiy, Alexander Shen:
Algorithms and Geometric Constructions. CiE 2018: 410-420 - [c31]Mikhail Andreev, Gleb Posobin, Alexander Shen:
Plain Stopping Time and Conditional Complexities Revisited. MFCS 2018: 2:1-2:12 - [i42]Bruno Bauwens, Alexander Shen:
Information Distance Revisited. CoRR abs/1807.11087 (2018) - [i41]Gleb Posobin, Alexander Shen:
Random noise increases Kolmogorov complexity and Hausdorff dimension. CoRR abs/1808.04626 (2018) - [i40]Alexander Shen:
Axiomatic approach to the theory of algorithms and relativized computability. CoRR abs/1811.06259 (2018) - 2017
- [j30]Bruno Bauwens, Alexander Shen, Hayato Takahashi:
Conditional Probabilities and van Lambalgen's Theorem Revisited. Theory Comput. Syst. 61(4): 1315-1336 (2017) - [j29]Laurent Bienvenu, Mathieu Hoyrup, Alexander Shen:
Layerwise Computability and Image Randomness. Theory Comput. Syst. 61(4): 1353-1375 (2017) - [c30]Nikolay K. Vereshchagin, Alexander Shen:
Algorithmic Statistics: Forty Years Later. Computability and Complexity 2017: 669-737 - [c29]Alexander Shen:
Compressibility and Probabilistic Proofs. CiE 2017: 101-111 - [c28]Alexander Shen:
Automatic Kolmogorov Complexity and Normality Revisited. FCT 2017: 418-430 - [i39]Alexander Shen:
Automatic Kolmogorov complexity and normality revisited. CoRR abs/1701.09060 (2017) - [i38]Alexander Shen:
Compressibility and probabilistic proofs. CoRR abs/1703.03342 (2017) - [i37]Mikhail Andreev, Gleb Posobin, Alexander Shen:
Plain stopping time and conditional complexities revisited. CoRR abs/1708.08100 (2017) - [i36]Noam Greenberg, Joseph S. Miller, Alexander Shen, Linda Brown Westrick:
Dimension 1 sequences are close to randoms. CoRR abs/1709.05266 (2017) - 2016
- [b5]Alexander Shen:
Geometry in Problems. MSRI Mathematical Circles Library 18, American Mathematical Society 2016, ISBN 978-1-4704-3011-5, pp. I-XI, 1-214 - [j28]Laurent Bienvenu, Damien Desfontaines, Alexander Shen:
Generic algorithms for halting problem and optimal machines revisited. Log. Methods Comput. Sci. 12(2) (2016) - [i35]Laurent Bienvenu, Mathieu Hoyrup, Alexander Shen:
Layerwise computability and image randomness. CoRR abs/1607.04232 (2016) - [i34]Nikolai K. Vereshchagin, Alexander Shen:
Algorithmic statistics: forty years later. CoRR abs/1607.08077 (2016) - 2015
- [j27]Andrei E. Romashchenko, Alexander Shen:
Topological Arguments for Kolmogorov Complexity. Theory Comput. Syst. 56(3): 513-526 (2015) - [c27]Laurent Bienvenu, Alexander Shen:
K-trivial, K-low and MLR-low Sequences: A Tutorial. Fields of Logic and Computation II 2015: 1-23 - [c26]Laurent Bienvenu, Damien Desfontaines, Alexander Shen:
What Percentage of Programs Halt? ICALP (1) 2015: 219-230 - [i33]Nikolai K. Vereshchagin, Alexander Shen:
Algorithmic statistics revisited. CoRR abs/1504.04950 (2015) - [i32]Alexander Shen:
Around Kolmogorov complexity: basic notions and results. CoRR abs/1504.04955 (2015) - 2014
- [j26]Laurent Bienvenu, Andrei E. Romashchenko, Alexander Shen, Antoine Taveneaux, Stijn Vermeeren:
The axiomatic power of Kolmogorov complexity. Ann. Pure Appl. Log. 165(9): 1380-1402 (2014) - [j25]Andrei Yu. Rumyantsev, Alexander Shen:
Probabilistic Constructions of Computable Objects and a Computable Version of Lovász Local Lemma. Fundam. Informaticae 132(1): 1-14 (2014) - [j24]Bruno Bauwens, Alexander Shen:
Complexity of Complexity and Strings with Maximal Plain and Prefix Kolmogorov Complexity. J. Symb. Log. 79(2): 620-632 (2014) - [c25]Laurent Bienvenu, Benoit Monin, Alexander Shen:
Algorithmic Identification of Probabilities Is Hard. ALT 2014: 85-95 - [i31]Laurent Bienvenu, Alexander Shen:
K-trivial, K-low and MLR-low sequences: a tutorial. CoRR abs/1407.4259 (2014) - 2013
- [j23]Bruno Bauwens, Alexander Shen:
An Additivity Theorem for Plain Kolmogorov Complexity. Theory Comput. Syst. 52(2): 297-302 (2013) - [i30]Laurent Bienvenu, Andrei E. Romashchenko, Alexander Shen, Antoine Taveneaux, Stijn Vermeeren:
The axiomatic power of Kolmogorov complexity. CoRR abs/1301.3392 (2013) - [i29]Andrei Yu. Rumyantsev, Alexander Shen:
Probabilistic Constructions of Computable Objects and a Computable Version of Lovász Local Lemma. CoRR abs/1305.1535 (2013) - 2012
- [j22]Laurent Bienvenu, Adam R. Day, Mathieu Hoyrup, Ilya Mezhirov, Alexander Shen:
A constructive version of Birkhoff's ergodic theorem for Martin-Löf random points. Inf. Comput. 210: 21-30 (2012) - [j21]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Fixed-point tile sets and their applications. J. Comput. Syst. Sci. 78(3): 731-764 (2012) - [c24]Laurent Bienvenu, Alexander Shen:
Random Semicomputable Reals Revisited. Computation, Physics and Beyond 2012: 31-45 - [c23]Alexander Shen:
Game Arguments in Computability Theory and Algorithmic Information Theory. CiE 2012: 655-666 - [c22]Alexander Shen, Andrei E. Romashchenko:
Topological arguments for Kolmogorov complexity. AUTOMATA & JAC 2012: 127-132 - [i28]Alexander Shen:
Game arguments in computability theory and algorithmic information theory. CoRR abs/1204.0198 (2012) - [i27]Laurent Bienvenu, Andrej Muchnik, Alexander Shen, Nikolai K. Vereshchagin:
Limit complexities revisited [once more]. CoRR abs/1204.0201 (2012) - 2011
- [j20]Daniil Musatov, Andrei E. Romashchenko, Alexander Shen:
Variations on Muchnik's Conditional Complexity Theorem. Theory Comput. Syst. 49(2): 227-245 (2011) - [j19]Mikhail Andreev, Ilya P. Razenshteyn, Alexander Shen:
Not every domain of a plain decompressor contains the domain of a prefix-free one. Theor. Comput. Sci. 412(4-5): 482-486 (2011) - [c21]Alexander Shen:
Kolmogorov Complexity as a Language. CSR 2011: 105-119 - [i26]Alexander Shen:
Kolmogorov complexity as a language. CoRR abs/1102.5418 (2011) - [i25]Laurent Bienvenu, Péter Gács, Mathieu Hoyrup, Cristobal Rojas, Alexander Shen:
Algorithmic tests and randomness with respect to a class of measures. CoRR abs/1103.1529 (2011) - [i24]Alexander Shen:
Are random axioms useful? CoRR abs/1109.5526 (2011) - [i23]Bruno Bauwens, Alexander Shen:
An additivity theorem for plain complexity. CoRR abs/1111.4372 (2011) - 2010
- [b4]Alexander Shen:
Algorithms and Programming - Problems and Solutions, Second Edition. Springer undergraduate texts in mathematics and technology, Springer 2010, ISBN 978-1-4419-1747-8, pp. I-XII, 1-272 - [j18]Yen-Wu Ti, Ching-Lueh Chang, Yuh-Dauh Lyuu, Alexander Shen:
Sets of k-Independent Strings. Int. J. Found. Comput. Sci. 21(3): 321-327 (2010) - [j17]Laurent Bienvenu, Andrej Muchnik, Alexander Shen, Nikolai K. Vereshchagin:
Limit Complexities Revisited. Theory Comput. Syst. 47(3): 720-736 (2010) - [j16]Vladimir Vovk, Alexander Shen:
Prequential randomness and probability. Theor. Comput. Sci. 411(29-30): 2632-2646 (2010) - [c20]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Effective Closed Subshifts in 1D Can Be Implemented in 2D. Fields of Logic and Computation 2010: 208-226 - [c19]Laurent Bienvenu, Adam R. Day, Ilya Mezhirov, Alexander Shen:
Ergodic-Type Characterizations of Algorithmic Randomness. CiE 2010: 49-58 - [c18]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
1D Effectively Closed Subshifts and 2D Tilings. JAC 2010: 2-7 - [c17]Alexander Shen:
Decomposition Complexity. JAC 2010: 203-213 - [i22]Mikhail Andreev, Ilya P. Razenshteyn, Alexander Shen:
Not Every Domain of a Plain Decompressor Contains the Domain of a Prefix-Free One. CoRR abs/1001.4462 (2010) - [i21]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Fixed point theorem and aperiodic tilings. CoRR abs/1003.2801 (2010) - [i20]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Effective closed subshifts in 1D can be implemented in 2D. CoRR abs/1003.3103 (2010) - [i19]Andrej Muchnik, Ilya Mezhirov, Alexander Shen, Nikolai K. Vereshchagin:
Game interpretation of Kolmogorov complexity. CoRR abs/1003.4712 (2010) - [i18]Laurent Bienvenu, Adam R. Day, Mathieu Hoyrup, Ilya Mezhirov, Alexander Shen:
A constructive version of Birkhoff's ergodic theorem for Martin-Löf random points. CoRR abs/1007.5249 (2010) - [i17]Alexander Shen:
Decomposition Complexity. CoRR abs/1012.1283 (2010) - [i16]Bruno Durand, Alexander Shen, Andrei E. Romashchenko:
1D Effectively Closed Subshifts and 2D Tilings. CoRR abs/1012.1329 (2010)
2000 – 2009
- 2009
- [j15]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Fixed Point Theorem and Aperiodic Tilings. Bull. EATCS 97: 126-136 (2009) - [c16]Daniil Musatov, Andrei E. Romashchenko, Alexander Shen:
Variations on Muchnik's Conditional Complexity Theorem. CSR 2009: 250-262 - [c15]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
High Complexity Tilings with Sparse Errors. ICALP (1) 2009: 403-414 - [c14]Alexander Shen:
Algorithmic Information Theory and Foundations of Probability. RP 2009: 26-34 - [i15]Daniil Musatov, Andrei E. Romashchenko, Alexander Shen:
Variations on Muchnik's Conditional Complexity Theorem. CoRR abs/0904.3116 (2009) - [i14]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Fixed-point tile sets and their applications. CoRR abs/0910.2415 (2009) - 2008
- [j14]Laurent Bienvenu, Wolfgang Merkle, Alexander Shen:
A Simple Proof of Miller-Yu Theorem. Fundam. Informaticae 83(1-2): 21-24 (2008) - [j13]Bruno Durand, Leonid A. Levin, Alexander Shen:
Complex tilings. J. Symb. Log. 73(2): 593-613 (2008) - [c13]Alexey V. Chernov, Alexander Shen, Nikolai K. Vereshchagin, Vladimir Vovk:
On-Line Probability, Complexity and Randomness. ALT 2008: 138-153 - [c12]Vladimir Vovk, Alexander Shen:
Prequential Randomness. ALT 2008: 154-168 - [c11]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Fixed Point and Aperiodic Tilings. Developments in Language Theory 2008: 276-288 - [c10]Laurent Bienvenu, Andrei E. Romashchenko, Alexander Shen:
Sparse sets. JAC 2008: 18-28 - [c9]Laurent Bienvenu, Andrej Muchnik, Alexander Shen, Nikolay Veraschagin:
Limit complexities revisited. STACS 2008: 73-84 - [i13]Bruno Durand, Andrei E. Romashchenko, Alexander Shen:
Fixed Point and Aperiodic Tilings. CoRR abs/0802.2432 (2008) - [i12]Laurent Bienvenu, Andrej Muchnik, Alexander Shen, Nikolai K. Vereshchagin:
Limit complexities revisited. CoRR abs/0802.2833 (2008) - [i11]Andrej Muchnik, Alexey V. Chernov, Alexander Shen:
Algorithmic randomness and splitting of supermartingales. CoRR abs/0807.3156 (2008) - [i10]Bruno Durand, Alexander Shen, Andrei E. Romashchenko:
Fixed Point and Aperiodic Tilings. Electron. Colloquium Comput. Complex. TR08 (2008) - 2007
- [j12]Noga Alon, Ilan Newman, Alexander Shen, Gábor Tardos, Nikolai K. Vereshchagin:
Partitioning multi-dimensional sets in a small number of "uniform" parts. Eur. J. Comb. 28(1): 134-144 (2007) - [j11]Andrej Muchnik, Alexander Shen, Mikhail Ustinov, Nikolai K. Vereshchagin, Michael V. Vyugin:
Non-reducible descriptions for conditional Kolmogorov complexity. Theor. Comput. Sci. 384(1): 77-86 (2007) - 2006
- [c8]Andrej Muchnik, Alexander Shen, Nikolai K. Vereshchagin, Michael V. Vyugin:
Non-reducible Descriptions for Conditional Kolmogorov Complexity. TAMC 2006: 308-317 - [c7]Alexander Shen:
Multisource Algorithmic Information Theory. TAMC 2006: 327-338 - [i9]Alexander Shen:
Combinatorial proof of Muchnik's theorem. Kolmogorov Complexity and Applications 2006 - [i8]Alexander Shen:
Multisource Algorithmic Information Theory. Kolmogorov Complexity and Applications 2006 - [i7]Alexander Shen:
Multisource algorithmic information theory. Electron. Colloquium Comput. Complex. TR06 (2006) - 2005
- [i6]Noga Alon, Ilan Newman, Alexander Shen, Gábor Tardos, Nikolai K. Vereshchagin:
Partitioning multi-dimensional sets in a small number of "uniform" parts. Electron. Colloquium Comput. Complex. TR05 (2005) - 2004
- [i5]Andrei A. Muchnik, Alexander Shen, Nikolai K. Vereshchagin, Michael V. Vyugin:
Non-reducible descriptions for conditional Kolmogorov complexity. Electron. Colloquium Comput. Complex. TR04 (2004) - 2002
- [b3]Alexander Shen, Nikolai K. Vereshchagin:
Basic set theory. Student mathematical library 17, American Mathematical Society 2002, ISBN 978-0-8218-2731-4, pp. I-VIII, 1-116 - [j10]Bruno Durand, Alexander Shen, Nikolai K. Vereshchagin:
Descriptive complexity of computable sequences. Theor. Comput. Sci. 271(1-2): 47-58 (2002) - [j9]Alexey V. Chernov, Andrei A. Muchnik, Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Upper semi-lattice of binary strings with the relation "x is simple conditional to y". Theor. Comput. Sci. 271(1-2): 69-95 (2002) - [j8]Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Combinatorial interpretation of Kolmogorov complexity. Theor. Comput. Sci. 271(1-2): 111-123 (2002) - [j7]Alexander Shen, Nikolai K. Vereshchagin:
Logical operations and Kolmogorov complexity. Theor. Comput. Sci. 271(1-2): 125-129 (2002) - 2001
- [c6]Bruno Durand, Leonid A. Levin, Alexander Shen:
Complex tilings. STOC 2001: 732-739 - [i4]Bruno Durand, Leonid A. Levin, Alexander Shen:
Complex Tilings. CoRR cs.CC/0107008 (2001) - [i3]Bruno Durand, Alexander Shen, Nikolai K. Vereshchagin:
Descriptive complexity of computable sequences. Electron. Colloquium Comput. Complex. TR01 (2001) - [i2]Alexander Shen, Nikolai K. Vereshchagin:
Logical operations and Kolmogorov complexity. Electron. Colloquium Comput. Complex. TR01 (2001) - 2000
- [j6]Daniel Hammer, Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Inequalities for Shannon Entropy and Kolmogorov Complexity. J. Comput. Syst. Sci. 60(2): 442-464 (2000) - [c5]Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Combinatorial Interpretation of Kolmogorov Complexity. CCC 2000: 131-137 - [i1]Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Combinatorial Interpretation of Kolmogorov Complexity. Electron. Colloquium Comput. Complex. TR00 (2000)
1990 – 1999
- 1999
- [j5]Alexander Shen:
Discussion on Kolmogorov Complexity and Statistical Analysis. Comput. J. 42(4): 340-342 (1999) - [c4]Andrei A. Muchnik, Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Upper Semilattice of Binary Strings with the Relation "x is Simple Conditional to y". CCC 1999: 114- - [c3]Bruno Durand, Alexander Shen, Nikolai K. Vereshchagin:
Descriptive Complexity of Computable Sequences. STACS 1999: 153-162 - 1998
- [j4]Daniel Hammer, Alexander Shen:
A Strange Application of Kolmogorov Complexity. Theory Comput. Syst. 31(1): 1-4 (1998) - 1997
- [b2]Alexander Shen:
Algorithms and programming - problems and solutions. Birkhäuser 1997, ISBN 978-0-8176-3847-4, pp. I-VIII, 1-217 - [c2]Daniel Hammer, Andrei E. Romashchenko, Alexander Shen, Nikolai K. Vereshchagin:
Inequalities for Shannon entropies and Kolmogorov complexities. CCC 1997: 13-23 - 1996
- [j3]Vladimir A. Uspensky, Alexander Shen:
Relations Between Varieties of Kolmogorov Complexities. Math. Syst. Theory 29(3): 271-292 (1996) - 1994
- [c1]Katalin Friedl, Zsolt Hátsági, Alexander Shen:
Low-degree Tests. SODA 1994: 57-64 - 1993
- [b1]Israel M. Gelfand, Alexander Shen:
Algebra. Birkhäuser 1993, ISBN 978-0-8176-3677-7, pp. 1-153 - 1992
- [j2]Alexander Shen:
IP = PSPACE: Simplified Proof. J. ACM 39(4): 878-880 (1992) - 1991
- [j1]Wayne D. Grover, Witold A. Krzymien, Alexander Shen:
Simulation and Experimental Studies on the Concept of a Rate-Adaptive Digital Subscriber Loop (RA-DSL). IEEE J. Sel. Areas Commun. 9(6): 941-950 (1991)
Coauthor Index
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