prof. dr hab. Jacek Tabor dr hab. Igor T. Podolak dr Jarek Duda dr Krzysztof Misztal dr hab. Adam Roman dr Marek Śmieja dr Przemysław Spurek dr Marcin Żelawski dr Bartosz Zieliński dr Wojciech M. Czarnecki
mgr Maciej Brzeski mgr Stanisław Jastrzębski mgr Damian Leśniak mgr Maciej Mikulski mgr Agnieszka Pocha mgr Igor Sieradzki mgr Magdalena Wiercioch mgr Konrad Żołna

Main collaborators

dr Przemysław Spurek
15
dr Krzysztof Misztal
14
dr Marek Śmieja
10
dr Wojciech M. Czarnecki
6
mgr Magdalena Wiercioch
1
mgr Stanisław Jastrzębski
1
mgr Damian Leśniak
1
prof. dr hab. Jacek Tabor
Full professor jacek.tabor@uj.edu.pl
clustering methods, information theory, entropy based classification
room 2061
office hours
Thursday, 14:00-16:00
Friday, 15:30-16:00

Papers

2017

Ociepka Michał, Przemysław Rola, Przemysław Spurek, Jacek Tabor ICA based on asymmetry, PATTERN RECOGN vol. 67 (2017), 230-244
Krzysztof Byrski, Przemysław Spurek, Jacek Tabor Active Function Cross-Entropy Clustering, EXPERT SYST APPL vol. 72 (2017), 49–66
Łukasz Struski, Marek Śmieja, Jacek Tabor Semi-supervised model-based clustering with controlled clusters leakage, EXPERT SYST APPL vol. 85 (2017), 146-157
Wojciech Czarnecki, Stanisław Jastrzębski, Damian Leśniak How to evaluate word embeddings? On importance of data efficiency and simple supervised tasks, ARXIV (2017),
Konrad Kamieniecki, Krzysztof Misztal, Przemysław Spurek, Marek Śmieja, Jacek Tabor R Package CEC , NEUROCOMPUTING vol. 237 (2017), 410–413

2016

Krzysztof Misztal, Michał Podgórski, Przemysław Spurek, Jacek Tabor, Arkadiusz Tomczyk Detection of Elongated Structures with Hierarchical Active Partitions and CEC-Based Image Representation, LECTURE NOTES IN COMPUTER SCIENCE vol. 403 (2016), 159-168
Krzysztof Misztal, Jacek Tabor Ellipticity and circularity measuring via Kullback-Leibler divergence, J MATH IMAGING VIS vol. 55 (1) (2016), 136-150
Wojciech Czarnecki, Jacek Tabor Online Extreme Entropy Machines for Streams Classification and Active Learning, ADVANCES IN INTELLIGENT SYSTEMS AND COMPUTING vol. 403 (2016), 371-381
Jakub Hyła, Krzysztof Misztal, Jacek Tabor Optimal Ellipse Based Algorithm as an Approximate and Robust Solution of Minimum Volume Covering Ellipse Problem, LECTURE NOTES IN COMPUTER SCIENCE vol. 9842 (2016), 240-250
Szymon Nakoneczny, Marek Śmieja, Jacek Tabor Fast entropy clustering of sparse high dimensional binary data, PROCEEDNIGS OF IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN 2016) (2016), 2397-2404
Przemysław Spurek, Jacek Tabor Maximum Likelihood Estimation and Optimal Coordinates, INTERNATIONAL CONFERENCE ON SYSTEMS SCIENCE, 2016 vol. Springer (2016), 3-13

2015

Wojciech Czarnecki, Jacek Tabor Extreme entropy machines: robust information theoretic classification, PATTERN ANAL APPL (2015), 1-18
Marek Śmieja, Jacek Tabor Entropy approximation in lossy source coding problem, ENTROPY-SWITZ vol. 17/5 (2015), 3400-3418
Wojciech Czarnecki, Jacek Tabor Multithreshold Entropy Linear Classifier: Theory and Applications, EXPERT SYST APPL vol. 42 (2015), 5591-5606
Wojciech Czarnecki, Rafał Józefowicz, Jacek Tabor Maximum Entropy Linear Manifold for Learning Discriminative Low-dimensional Representation, LECTURE NOTES IN ARTIFICIAL INTELLIGENCE vol. 9284 (2015), 52-67
Przemysław Spurek, Jacek Tabor, Mateusz Wójcik Cross-Entropy Clustering Approach to One-Class Classification, LECTURE NOTES IN COMPUTER SCIENCE vol. 9119 (2015), 481-490
Przemysław Spurek, Łukasz Struski, Jacek Tabor Subspace memory clustering, SCHEDAE INFORMATICAE vol. 24 (2015), 133-142
Marek Śmieja, Jacek Tabor, Magdalena Wiercioch Probability Index of Metric Correspondence as a measure of visualization reliability, PROCEEDINGS OF ECML PKDD WORKSHOP ON MACHINE LEARNING IN LIFE SCIENCES (2015), 16-27
Jacek Chudziak, Jacek Tabor, Józef Tabor Conditionally d-midconvex functions, AEQUATIONES MATH vol. 89 (2015), 981-990
Mateusz Malik, Przemysław Spurek, Jacek Tabor Cross-Entropy based image thresholding, SCHEDAE INFORMATICAE vol. 24 (2015), 21-29
Marek Śmieja, Jacek Tabor Spherical Wards clustering and generalized Voronoi diagrams, PROCEEDING OF IEEE INTERNATIONAL CONFERENCE ON DATA SCIENCE AND ADVANCED ANALYTICS vol. 36678 (2015), 10
Krzysztof Misztal, Emil Saeed, Khalid Saeed, Przemysław Spurek, Jacek Tabor Cross entropy clustering approach to iris segmentation for biometrics purpose, SCHEDAE INFORMATICAE vol. 24 (2015), 31-40

2014

Przemysław Spurek, Jacek Tabor Cross Entropy Clustering, PATTERN RECOGN vol. 47 (2014), 3046–3059
Wojciech Czarnecki, Jacek Tabor Two ellipsoid Support Vector Machines, EXPERT SYST APPL vol. 41 (18) (2014), 8211-8224
Andrzej Bojarski, Marek Śmieja, Jacek Tabor, Dawid Warszycki Asymmetric Clustering Index in a case study of 5-HT1A receptor ligands, PLOS ONE vol. 9(7) (2014), e102069
Alena Chaikouskaya, Przemysław Spurek, Jacek Tabor, Elżbieta Zając A local Gaussian filter and adaptive morphology as tools for completing partially discontinuous curves, COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL MANAGEMENT vol. 8838 (2014), 559-570
Marek Śmieja, Jacek Tabor Renyi entropy dimension of the mixture of measures, PROCEEDINGS OF SCIENCE AND INFORMATION CONFERENCE (2014), 685-689
Łukasz Struski, Jacek Tabor Expansivity and Cone-fields in Metric Spaces, J DYN DIFFER EQU vol. 26(3) (2014), 517-527

2013

Przemysław Spurek, Jacek Tabor The memory center, INFORM SCIENCES vol. 252 (2013), 132–143
Przemysław Spurek, Jacek Tabor, Elżbieta Zając Detection of Disk-Like Particles in Electron Microscopy Images, ADVANCES IN INTELLIGENT SYSTEMS AND COMPUTING vol. 226 (2013), 411-417
Krzysztof Misztal, Jacek Tabor, Józef Tabor Midconvexity for finite sets, J INEQUAL APPL vol. 2013 (2013), 1-16
J Tabor, M Zołdak, c 2013 Heldermann Verlag Journal of Convex Analysis 20 (2013) 531–543, Journal of Convex Analysis 20, 531-543 (2013)
Marek Śmieja, Jacek Tabor Image segmentation with use of cross-entropy clustering, ADVANCES IN INTELLIGENT SYSTEMS AND COMPUTING vol. 226 (2013), 403-409
Krzysztof Misztal, Jacek Tabor Strict verification of approximate midconvexity on non-convex sets, MATH INEQUAL APPL vol. 16 (2013), 389–400
Krzysztof Misztal, Jacek Tabor Mahalanobis distance-based algorithm for ellipse growing in iris preprocessing, COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL MANAGEMENT LECTURE NOTES IN COMPUTER SCIENCE vol. 8104 (2013), 158-167
Krzysztof Misztal, Jacek Tabor Detection of elliptical shapes via cross-entropy clustering, PATTERN RECOGNITION AND IMAGE ANALYSIS LECTURE NOTES IN COMPUTER SCIENCE vol. 7887 (2013), 656-663
Krzysztof Misztal, Jacek Tabor, Józef Tabor Generalized midconvexity, BANACH CENTER PUBLICATIONS vol. 99 (2013), 207-215
Krzysztof Misztal, Przemysław Spurek, Jacek Tabor Weighted Approach to Projective Clustering, COMPUTER INFORMATION SYSTEMS AND INDUSTRIAL MANAGEMENT LECTURE NOTES IN COMPUTER SCIENCE vol. 8104 (2013), 367-378
Jacek Tabor, Józef Tabor, Marek Żołdak Strongly Midquasiconvex Functions , J CONVEX ANAL vol. 20 (2013), 531-543

2012

Marek Śmieja, Jacek Tabor Entropy of the mixture of source and entropy dimension, IEEE T INFORM THEORY vol. 58(5) (2012), 2719-2728
Piotr Kościelniak, Marcin Mazur, Jacek Tabor Appendix A: Semi-Hyperbolicity: Estimations vol. Random and Computational Dynamics 1 (2012), "Phil Diamond, Peter Kloeden, Victor Kozyakin, Alexei Pokrovskii, Semi-Hyperbolicity and Bi-Shadowing", American Institute of Mathematical Sciences
Jacek Tabor, Józef Tabor Paraconvex, but not strongly, Takagi functions, CONTROL CYBERN vol. 41 (2012), 545-559
M Śmieja, J Tabor, Partition reduction for lossy data compression problem, arXiv preprint arXiv:1204.0078 (2012)
Anna Mureńko, Jacek Tabor, Józef Tabor Applications of de Rham theorem in approximate midconvexity, J DIFFER EQU APPL vol. 18 (2012), 335-344
Krzysztof Misztal, Jacek Tabor, Józef Tabor Approximately Midconvex Functions vol. Springer Optimization and Its Applications (2012), "Functional Equations in Mathematical Analysis", Springer Verlag (połaczony z Kluwer Academic Publishing)
Krzysztof Misztal, Emil Saeed, Khalid Saeed, Jacek Tabor Iris Pattern Recognition with a New Mathematical Model to its Rotation Detection vol. 1 (2012), "Biometrics and Kansei Engineering", Springer Verlag (połaczony z Kluwer Academic Publishing)
Przemysław Spurek, Jacek Tabor Numerical verification of condition for approximately midconvex functions, AEQUATIONES MATH vol. 83 (2012), 223-237
Tomasz Kulaga, Łukasz Struski, Jacek Tabor Cone-Fields without Constant Orbit Core Dimension, DISCRETE CONT DYN-A vol. 32(10) (2012), 3651-3664
Krzysztof Misztal, Khalid Saeed, Jacek Tabor A new algorithm for rotation detection in iris pattern recognition, LECTURE NOTES IN COMPUTER SCIENCE vol. Computer Information Systems and Industrial Management, Volume 7564/2012 (2012), 135-145
Jakub Bielawski, Jacek Tabor A t-norm embedding theorem for fuzzy sets, FUZZY SET SYST (2012), 33-53

2011

Marcin Mazur, Jacek Tabor Computational hyperbolicity, DISCRETE CONT DYN-A vol. 29 (2011), 1175-1189
Tomasz Kułaga, Jacek Tabor Hyperbolic dynamics in graph-directed IFS, J DIFFER EQUATIONS vol. 251 (2011), 3363-3380
Jacek Tabor, Józef Tabor, Marek Żołdak On w-strongly quasiconvex and w-strongly quasiconcave sequences, AEQUATIONES MATH vol. 82 (2011), 255-268
Anna Mureńko, Jacek Tabor, Józef Tabor Semiconcave functions with power moduli, J CONVEX ANAL vol. 18 (2011), 391-396

2010

A Najdecki, J Tabor, J Tabor, On conditionally δ-convex functions, Acta Mathematica Hungarica 128 (1-2), 131-138 (2010)
J Tabor, J Tabor, M Żołdak, Optimality estimations for approximately midconvex functions, Aequationes mathematicae 80 (1), 227-237 (2010)
Jacek Tabor, Józef Tabor, Marek Żołdak Approximately convex functions on topological vector spaces, PUBL MATH-DEBRECEN vol. 365 (2010), 115-123
Adam Najdecki, Jacek Tabor, Józef Tabor On conditionally d-convex functions, ACTA MATH HUNG vol. 128 (2010), 131-138
Jacek Tabor, Józef Tabor, Marek Żołdak Optimality estimations for approximately convex functions, AEQUATIONES MATH vol. 80 (2010), 227-237
Jacek Tabor, Józef Tabor Extensions of convex and semiconvex functions and intervally thin sets, J MATH ANAL APPL vol. 365 (2010), 43-49

2009

Jakub Bielawski, Jacek Tabor An embedding theorem for unbounded convex sets in a Banach space, DEMONSTRATIO MATHEMATICA vol. 42(4) (2009), 703-709
Jacek Tabor, Józef Tabor Generalized approximate midconvexity, CONTROL CYBERN vol. 38 (2009), 655-669
Jacek Mrowiec, Jacek Tabor, Józef Tabor Approximately midconvex functions vol. International Series of Numerical Mathematics 157 (2009), "Inequalities and Applications", Birkhäuser
Anna Mureńko, Jacek Tabor, Józef Tabor On characterizations of sup-preserving functionals, ACTA MATH HUNG vol. 12 (2009), 161-172
Jacek Tabor, Józef Tabor Takagi functions and approximate midconvexity, J MATH ANAL APPL vol. 356 (2009), 729-737
Jacek Tabor, Józef Tabor Characterization of convex functions, STUD MATH vol. 192 (2009), 29-37

2008

J Tabor, J Tabor, Stability of the Cauchy equation almost everywhere, Aequationes mathematicae 75 (3), 308-313 (2008)
Jacek Tabor Restricted stability and shadowing, PUBL MATH-DEBRECEN vol. 73 (2008), 49-58
Jacek Tabor, Józef Tabor Stability of the Cauchy functional equations in metric groupoids, AEQUATIONES MATH vol. 76 (2008), 92-104
Piotr Kościelniak, Marcin Mazur, Jacek Tabor Semi-hyperbolicity and hyperbolicity, DISCRETE CONT DYN-A (2008), 1029-1038
J Tabor, J Tabor, Stability of the Cauchy functional equation in metric groupoids, Aequationes mathematicae 76 (1), 92-104 (2008)
Jacek Tabor Stability of isometries in p-Banach spaces, FUNCTIONES ET APPROXIMATIO, COMMENTARII MATHEMATICI vol. 38 (2008), 109-119

2007

Z Ma̧czyńska, J Tabor, Shadowing with multidimensional time in Banach spaces, Journal of Mathematical Analysis and Applications 331 (2), 866-872 (2007)
J Tabor, Locally expanding mappings and hyperbolicity, Topological Methods in Nonlinear Analysis 30 (2), 335-343 (2007)
J Tabor, J Tabor, General stability of functional equations of linear type, Journal of Mathematical Analysis and Applications 328 (1), 192-200 (2007)

2006

W Jabłoński, J Tabor, J Tabor, Generalized shadowing for discrete semidynamical systems, Annales Polonici Mathematici 88 (3), 263-269 (2006)

2004

J Tabor, M Żołdak, Iterative equations in Banach spaces, Journal of mathematical analysis and applications 299 (2), 651-662 (2004)
J Tabor, Stability of the Cauchy functional equation in quasi-Banach spaces, Annales Polonici Mathematici 83, 243-255 (2004)

2003

J Tabor, Stability of the Fischer-Muszly functional equation, PUBLICATIONES MATHEMATICAE-DEBRECEN 62 (1-2), 205-211 (2003)
J Tabor, Oscillation of linear difference equations in Banach spaces, Journal of Differential Equations 192 (1), 170-187 (2003)

2002

J Tabor, Differential equations in metric spaces, Proceedings of Equadiff 10, 207-214 (2002)
J Tabor, D Yost, Applications of inverse limits to extensions of operators and approximation of Lipschitz functions, Journal of Approximation Theory 116 (2), 257-267 (2002)
J Tabor, Oscillation theory of linear systems, Journal of Differential Equations 180 (1), 171-197 (2002)
J Tabor, J Tabor, Geometrical Aspects of Stability, Functional Equations—Results and Advances, 123-132 (2002)
J Tabor, Hyers theorem and the cocycle property, Functional Equations—Results and Advances, 275-290 (2002)
Marcin Kulczycki, Jacek Tabor Iterative functional equations in the class of Lipschitz functions, AEQUATIONES MATH vol. 64, no. 1-2 (2002), 24-33
J Tabor, Proper families and almost additive functions, Aequationes mathematicae 63 (1), 18-25 (2002)
Bogdan Batko, Zygfryd Kominek, Jacek Tabor Generalized norms and convexity, PUBL MATH-DEBRECEN vol. 60.1-2 (2002), 63-73

2000

J Tabor, Monomial selections of set-valued functions, PUBLICATIONES MATHEMATICAE-DEBRECEN 56 (1-2), 33-42 (2000)
J Tabor, Ideally convex sets and Hyers theorem, FUNKCIALAJ EKVACIOJ SERIO INTERNACIA 43 (1), 121-126 (2000)
J Tabor, Stability of surjectivity, Journal of Approximation Theory 105 (1), 166-175 (2000)

1999

J Tabor, A general stability result in the class of Lipschitz functions, PUBLICATIONES MATHEMATICAE-DEBRECEN 55 (3-4), 385-394 (1999)
J Tabor, Superstability of the Cauchy, Jensen and isometry equations, Results in mathematics 35 (3-4), 355-379 (1999)
J Tabor, J Tabor, Stability of the Cauchy type equations in the class of differentiable functions, Journal of approximation theory 98 (1), 167-182 (1999)
B Batko, J Tabor, Stability of an alternative Cauchy equation on a restricted domain, aequationes mathematicae 57 (2), 221-232 (1999)
J Tabor, J Tabor, Local stability of the Cauchy and Jensen equations in function spaces, aequationes mathematicae 58 (3), 296-310 (1999)
Bogdan Batko, Jacek Tabor Stability of the generalized alternative Cauchy equation , ABH MATH SEM HAMBURG vol. 69 (1999), 67-73
Bogdan Batko, Jacek Tabor Stability of an alternative Cauchy equation on a restricted, AEQUATIONES MATH vol. 57 (1999), 221-232

1998

J Tabor, Oscillations in Banach spaces and positive operators, Journal of differential equations 144 (2), 219-232 (1998)
Marcin Mazur, Kinga Stolot, Jacek Tabor Semi-hyperbolicity implies hyperbolicity in the linear case, UNIVERSITATIS IAGELLONICAE ACTA MATHEMATICA vol. 36 (1998), 121-126
J Tabor, J Tabor, Stability of the Cauchy equation on an interval, aequationes mathematicae 55 (1), 153-176 (1998)

1997

J Tabor, Remark 20, In ‘Report on the 34th ISFE, Aequationes Math 53, 194-196 (1997)
T Popiela, J Kulig, D Karcz, J Tabor, J Torres, M Marquez, O Fillat, ..., Efficacy of ebrotidine and ranitidine combined with amoxicillin and metronidazole in the eradication of Helicobacter pylori in patients with duodenal ulcer., Arzneimittel-Forschung 47 (4A), 573-577 (1997)
J Tabor, Stability of the Cauchy equation with variable bound, PUBLICATIONES MATHEMATICAE-DEBRECEN 51 (1-2), 165-173 (1997)
J Tabor, Stability of the Cauchy type equations in% MathType! MTEF! 2! 1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq%-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr-xfr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyuam% aaBaaaleaacaaIXaGaaGimaaqabaGccqGH9aqpciGGSbGaaiOBaiaa% ysW7caWGRbWaaSbaaSqaaiaadsfacaaIXaaabeaakiaac+ cacaWGRb% WaaSbaaSqaaiaadsfacaaIYaaabeaakiabg2da9iabgkHiTmaabmaa% baGaamyramaaBaaaleaacaWGHbaabeaakiaac+ cacaWGsbaacaGLOa% GaayzkaaGaey41aq7aaiWaaeaadaqadaqaaiaadsfadaWgaaWcbaGa% aGOmaaqabaGccqGHsislcaWGubWaaSbaaSqaaiaaigdaaeqaaaGcca% GLOaGaayzkaaGaai4laiaacIcacaWGubWaaSbaaSqaaiaaikdaaeqa% aOGaaGjbVlaadsfadaWgaaWcbaGaamysaaqabaGccaGGPaaacaGL7b% GaayzFaaaaaa! 5C4A! norms, Results in Mathematics 32 (1-2), 145-158 (1997)
J Tabor, Lipschitz stability of the Cauchy and Jensen equations, Results in Mathematics 32 (1-2), 133-144 (1997)

1996

J Tabor, J Brzdek, J Brzdek, R Ger, P Semrl, Stability of the Cauchy equation on a restricted domain, PUBLICATIONES MATHEMATICAE-DEBRECEN 49 (1-2), 69-76 (1996)
J Tabor, Hosszu's functional equation on the unit interval is not stable, PUBLICATIONES MATHEMATICAE-DEBRECEN 49 (3-4), 335-340 (1996)

1995

J Tabor, On the division by R n, Aequationes Mathematicae 49 (1), 300-303 (1995)
J Tabor, J Tabor, On a linear iterative equation, Results Math 27, 412-421 (1995)

1994

J Tabor, J Tabor, Homogeneity is superstable, PUBLICATIONES MATHEMATICAE-DEBRECEN 45 (1-2), 123-130 (1994)
TM Rassias, J Tabor, On approximately additive mappings in Banach spaces, Manuscript (1994)

1992

T Popiela, J Kulig, J Skucinski, A Szczepanik, J Tabor, P Plaskocinski, ..., Advances in treatment of seriously advanced gastric cancer using aggressive EAP chemotherapy, Proceedings of an International Symposium „Gastric Cancer “, May, 25-26 (1992)

1991

J Tabor, Cauchy and Jensen equations on a restricted domain almost everywhere, PUBLICATIONES MATHEMATICAE-DEBRECEN 39 (3-4), 219-235 (1991)

1983

A Gregorczyk, J Tabor, Monotonic solution of the translation equation, Annales Polonici Mathematici 3 (43), 253-260 (1983)

1978

S Midura, J Tabor, The translation equation on a direct product of groups, Annales Polonici Mathematici 3 (35), 223-228 (1978)
J Tabor, Algebraic objects over a small category, Instytut Matematyczny Polskiej Akademi Nauk (Warszawa) (1978)

1976

Z Moszner, J Tabor, L'quation de translation sur une structure avec zro, Annales Polonici Mathematici 3 (31), 255-264 (1976)
J Tabor, Regular extensions of algebraic objects, Tensor (NS) 30, 186-190 (1976)

1975

J Tabor, Solution of Cauchy's functional equation on a restricted domain, Colloquium Mathematicae 33 (2), 203-208 (1975)
J cizef Tabor, Remarks on J. Gancarzewicz’s Paper “On Commutative Algebraic Objects over a Groupoid “, (1975)
J Tabor, EXTENSIONS OF ALGEBRAIC OBJECTS OVER A BRANDT GROUPOID, TENSOR 29 (1), 85-88 (1975)

Contact Us

Igor Podolak, PhD
Group of Machine Learning Research
Faculty of Mathematics and Computer Science
ul. Lojasiewicza 6
30-342, Cracow, Poland