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Hentosh, O. Ye., Balinsky, A. A. and Prykarpatski, A. K. 2020. The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations. Carpathian Mathematical Publications 12 (1) , pp. 242-265. 10.15330/cmp.12.1.242-264 |
Byszewski, Ludwik, Blackmore, Denis, Balinsky, Alexander A., Prykarpatski, Anatolij K. and Lu´styk, Mirosław 2020. Solvability, completeness and computational analysis of a perturbed control problem with delays. Mathematics and Statistics 8 (2) , pp. 187-202. 10.13189/ms.2020.080215 |
Hentosh, Oksana E., Balinsky, Alexander A. and Prykarpatski, Anatolij K. 2020. Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems. Annals of Mathematics and Physics 3 (1) , 001-006. 10.17352/amp.000010 |
Nouretdinov, Ilia, Balinsky, Alexander and Gammerman, Alexander 2020. Conformal anomaly detection for visual reconstruction using gestalt principles. Presented at: 9th Symposium on Conformal and Probabilistic Prediction with Applications (COPA 2020), Verona, Italy, 9-11 September 2020. pp. 1-20. |
Prykarpatski, Anatolij, Balinsky, Alexandr and Artemovych, Orest 2019. Hamiltonian operators and related differential-algebraic Balinsky-Novikov, Riemann and Leibniz type structures on nonassociative noncommutative algebras. Proceedings of the International Geometry Center 12 (4) 10.15673/tmgc.v12i4.1554 |
Spasic, Irena, Krzeminski, Dominik, Corcoran, Padraig and Balinsky, Alexander 2019. Cohort selection from longitudinal patient records: Text mining approach. JMIR Medical Informatics 7 (4) , e15980. 10.2196/15980 |
Artemovych, O.D., Balinsky, Alexander and Prykarpatski, A.K. 2019. The quadratic Poisson structures and related nonassociative noncommutative Zinbiel type algebras. Annals of Mathematics and Physics 2 (1) , 026-037. 10.17352/amp.000007 |
Hentosh, O.E., Prykarpatsky, Y.A., Balinsky, Alexander and Prykarpatski, A.K. 2019. The dispersionless completely integrable heavenly type Hamiltonian flows and their differential-geometric structure. Annals of Mathematics and Physics 2 (1) , 011-025. 10.17352/amp.000006 |
Artemovych, Orest D., Balinsky, Alexander A., Blackmore, Denis and Prykarpatski, Anatolij K. 2018. Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators. Symmetry 10 (11) , 601. 10.3390/sym10110601 |
Krzeminski, Dominik, Balinsky, Helen and Balinsky, Alexander
2018.
Helmholtz principle on word embeddings for automatic document segmentation.
Presented at: DocEng 18: 18th ACM Symposium on Document Engineering,
Halifax, Nova Scotia, Canada,
28-31 August 2018.
DocEng '18: Proceedings of the ACM Symposium on Document Engineering 2018.
New York, NY:
ACM,
10.1145/3209280.3229103
Item availability restricted. |
Percy, Isabelle, Balinsky, Alexander, Balinsky, Helen and Simske, Steve
2018.
Text mining and recommender systems for predictive policing.
Presented at: DocEng 18: 18th ACM Symposium on Document Engineering,
Halifax, Nova Scotia, Canada,
28-31 August 2018.
Item availability restricted. |
Balinsky, Alexander, Balinsky, Helen and Simske, Steven 2017. On the Helmholtz Principle for data mining. In: Kreinovich, Vladek ed. Uncertainty Modeling, Vol. 683. Studies in Computational Intelligence, Springer, pp. 15-35. |
Balinsky, Alexander, Balinsky, Helen and Simske, Steven 2016. Detecting unusual behaviour and mining unstructured data. In: Aston, Philip J., Mulholland, Anthony J. and Tant, Katherine M. M. eds. UK Success Stories in Industrial Mathematics, Springer, pp. 181-187. (10.1007/978-3-319-25454-8_23) |
Balinsky, Alexander, Evans, William Desmond and Roger, Lewis 2015. The analysis and geometry of Hardy's Inequality. Springer. |
Dadachev, Boris, Balinsky, Alexander and Balinsky, Helen 2014. On automatic text segmentation. Presented at: DocEng 14: 2014 ACM Symposium on Document Engineering, Denver, CO, USA, 16-19 September 2014. Proceedings of the 2014 ACM Symposium on Document Engineering. Association for Computing Machinery, pp. 73-80. 10.1145/2644866.2644874 |
Dadachev, Boris, Balinsky, Alexander, Balinsky, Helen and Forman, George 2013. Automatic text and data stream segmentation using weighted feature extraction. Presented at: 3rd IMA Conference on Mathematics in Defence, Tom Elliott Conference Centre, QinetiQ, Malvern, UK, 24 October 2013. |
Hewlett Packard Development Co. 2013. Keyword determination based on a weight of meaningfulness. 8375022. [Patent]. |
Dadachev, Boris, Balinsky, Alexander, Balinsky, Helen and Simske, Steven 2012. On the Helmholtz Principle for Data Mining. Presented at: 2012 Third International Conference on Emerging Security Technologies (EST), Lisbon, Portugal, 5-7 September 2012. Published in: Stoica, A., Zarzhitsky, D., Howells, G., Frowd, C., McDonald-Maier, K., Erdogan, A. and Arslan, T. eds. Proceedings: EST 2012: Third International Conference on Emerging Security Technologies. Los Alamitos, CA: IEEE, pp. 99-102. 10.1109/EST.2012.11 |
Balinsky, Alexander, Evans, William Desmond and Lewis, R. T. 2012. Hardy's inequality and curvature. Journal of Functional Analysis 262 (2) , pp. 648-666. 10.1016/j.jfa.2011.10.001 |
Balinsky, Helen, Balinsky, Alexander and Simske, Steven J. 2012. Text documents as social networks. Presented at: SPIE Conference on Imaging and Printing in a Web 2.0 World III, Burlingame, CA, USA, 25-26 January 2012. Published in: Lin, Q., Allebach, J. P. and Fan, Z. eds. Imaging and Printing in a Web 2.0 World III. Proceedings of the SPIE , vol. 8302. Bellingham, WA: SPIE, p. 830207. 10.1117/12.909110 |
Balinsky, Alexander, Balinsky, Helen and Simske, Steven 2011. Rapid change detection and text mining. Presented at: 2nd IMA Conference on Mathematics in Defence, Defence Academy of the United Kingdom, Swindon, 20 October 2011. |
Balinsky, Helen, Balinsky, Alexander and Simske, Steven 2011. Document sentences as a small world. Presented at: 2011 IEEE International Conference on Systems, Man, and Cybernetics (SMC), Anchorage, AK, USA, 9-12 October 2011. Published in: Tunstel, E. and Nahavandi, S. eds. Proceedings of the 2011 IEEE International Conference on Systems, Man, and Cybernetics (SMC). Los Alamitos, CA: IEEE, pp. 2583-2588. 10.1109/ICSMC.2011.6084065 |
Balinsky, Alexander, Evans, William Desmond and Umeda, Tomio 2011. The Dirac-Hardy and Dirac-Sobolev inequalities in L1. Publications of the Research Institute for Mathematical Sciences 47 (3) , pp. 791-801. 10.2977/PRIMS/51 |
Balinsky, Alexander and Mohammad, Nassir 2011. Non-linear filter response distributions of natural images and applications in image processing. Applied Mathematics and Information Sciences 5 (3) , pp. 367-389. |
Balinsky, Helen, Balinsky, Alexander and Simske, Steven 2011. Automatic text summarization and small-world networks. Presented at: 11th ACM symposium on Document engineering, Mountain View, CA, USA, 19-22 September 2011. Proceedings of the 11th ACM symposium on Document engineering. New York, NY: Association for Computing Machinery, pp. 175-184. 10.1145/2034691.2034731 |
Kovalerchuk, Boris and Balinsky, Alexander 2011. Visual Data Mining and Discovery in Multivariate Data Using Monotone n-D Structure. Lecture Notes in Computer Science 6581 , pp. 297-313. 10.1007/978-3-642-22140-8_20 |
Balinsky, Helen, Balinsky, Alexander and Simske, Steven 2010. On the Helmholtz Principle for data mining. Hewlett Packard Development Company. |
Balinsky, Alexander and Evans, William Desmond 2010. Spectral Analysis of Relativistic Operators. London: Imperial College Press. |
Balinsky, Alexander and Evans, William Desmond 2010. Some recent results on Hardy-type inequalities. Applied Mathematics and Information Sciences 4 (2) , pp. 191-208. |
Balinsky, Alexander, Balinsky, Helen Y. and Simske, Steven J. 2010. On helmholtz's principle for documents processing. Presented at: 10th ACM Symposium on Document Engineering (DocEng2010), Manchester, UK, 21-24 September 2010. Published in: Antonacopoulos, Apostolos, Grmish, Michael and Ingold, Rolf eds. Proceedings of the 10th ACM symposium on Document engineering. New York: ACM Press, pp. 283-286. 10.1145/1860559.1860624 |
Balinsky, Alexander and Mohammad, Nassir 2010. Sparse natural image statistics and their applications to colorization and compression. Presented at: 17th IEEE International Conference on Image Processing (ICIP), Hong Kong, China, 26-29 September 2010. Published in: Siu, W.-C. ed. 2010 17th IEEE International Conference on Image Processing (ICIP), Hong Kong, 26-29 Sept. 2010. Los Alamitos, CA: IEEE, pp. 1661-1664. 10.1109/ICIP.2010.5652168 |
Balinsky, Alexander and Mohammad, Nassir 2009. Non-linear filter response distributions of natural colour images. Lecture Notes on Computer Science 5646 , pp. 101-108. 10.1007/978-3-642-03265-3_11 |
Balinsky, Alexander and Mohammad, Nassir 2009. Colorization of natural images via L1 optimization. Presented at: IEEE Workshop on Applications of Computer Vision, Snowbird, UT, USA, 7-8 December 2009. IEEE 2009 Workshop on Applications of Computer Vision WACV 2009, Dec. 7-8 2009, Snowbird Utah. IEEE Computer Society, pp. 1-6. |
Balinsky, Alexander and Balinsky, Helen 2009. On semi-supervised learning and sparsity. Presented at: IEEE International Conference on Systems, Man, and Cybernetics, San Antonio, TX, USA, 11-14 October 2009. Proceedings 2009 International Conference on Systems, Man and Cybernetics October 11-14, 2009 : San Antonio, Texas, USA. Los Alamitos, CA: IEEE, pp. 3083-3087. 10.1109/ICSMC.2009.5345946 |
Balinsky, Alexander, Evans, William Desmond and Saito, Y. 2008. Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Journal of Mathematical Physics 49 (4) , 043514. 10.1063/1.2912229 |
Balinsky, Alexander, Evans, William and Hundertmark, Dirk 2008. On inequalities of Hardy-Sobolev type. Banach Journal of Mathematical Analysis (BJMA) 2 (2) , pp. 94-106. |
Balinsky, Helen and Balinsky, Alexander 2007. Affine invariant total variation models. [Technical Report]. Bristol: Hewlett-Packard Development Company. Available at: http://www.hpl.hp.com/techreports/2007/HPL-2007-94... |
Balinsky, Alexander and Ryan, J. 2007. Some Sharp L2 Inequalities for Dirac Type Operators. Symmetry, Integrability and Geometry: Methods and Applications 3 , 114. 10.3842/SIGMA.2007.114 |
Tyukov, Alexey E. and Balinsky, Alexander 2006. On localization of pseudo-relativistic energy. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462 (2067) , pp. 897-912. 10.1098/rspa.2005.1606 |
Balinsky, Alexander, Laptev, Ari and Sobolev, Alexander V. 2004. Generalized Hardy inequality for the magnetic Dirichlet forms. Journal of Statistical Physics 116 (1-4) , pp. 507-521. 10.1023/B:JOSS.0000037228.35518.ca |
Balinsky, Alexander 2003. Hardy type inequalities for Aharonov-Bohm magnetic potential with multiple singularities. Mathematical Research Letters 10 (2) , pp. 169-176. |
Balinsky, Alexander and Evans, William Desmond 2002. On the Zero Modes of Weyl-Dirac Operators and their Multiplicity. Bulletin of the London Mathematical Society 34 (2) , pp. 236-242. 10.1112/S0024609301008736 |
Balinsky, Alexander and Evans, William Desmond 2002. On the spectral properties of the Brown-Ravenhall operator. Journal of Computational and Applied Mathematics 148 (1) , pp. 239-255. 10.1016/S0377-0427(02)00583-6 |
Balinsky, Alexander, Evans, William Desmond and Lewis, R. T. 2001. On the number of negative eigenvalues of Schrödinger operators with an Aharanov-Bohm magnetic field. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 457 (2014) , pp. 2481-2489. 10.1098/rspa.2001.0851 |
Balinsky, Alexander and Evans, William Desmond 2001. On the zero modes of Pauli operators. Journal of Functional Analysis 179 (1) , pp. 120-135. 10.1006/jfan.2000.3670 |
Balinsky, Alexander, Evans, William Desmond and Lewis, Roger T. 2001. Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3 [Letter]. Journal of Physics A: Mathematical and General 34 (5) , L19-L23. 10.1088/0305-4470/34/5/101 |
Balinsky, Alexander and Evans, William Desmond 1999. Stability of One-Electron Molecules in the Brown-Ravenhall Model. Communications in Mathematical Physics 202 (2) , pp. 481-500. 10.1007/s002200050592 |
Balinsky, Alexander and Evans, William Desmond 1999. On the stability of relativistic one-electron molecules [Letter]. Journal of Physics A: Mathematical and General 32 (11) , L129-L132. 10.1088/0305-4470/32/11/001 |
Balinsky, Alexander and Evans, William Desmond 1998. On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded Eigenvalues. Letters in Mathematical Physics 44 (3) , pp. 233-248. 10.1023/A:1007425400991 |
Balinsky, Alexander and Burman, Yu. 1996. Quadratic Poisson brackets and the Drinfeld theory for associative algebras [Letter]. Letters in Mathematical Physics 38 (1) , pp. 63-75. 10.1007/BF00398299 |
Balinsky, Alexander and Burman, Yu M 1994. Quadratic Poisson brackets compatible with an algebra structure [Letter]. Journal of Physics A: Mathematical and General 27 (18) , L693-L696. 10.1088/0305-4470/27/18/008 |
Balinsky, Alexander 1994. Generalized quantization scheme for central extensions of Lie algebras [Letter]. Journal of Physics A: Mathematical and General 27 (3) , L87-L90. 10.1088/0305-4470/27/3/005 |
Balinsky, Alexander and Balinsky, A. I. 1993. On the algebraic structures connected with the linear Poisson brackets of hydrodynamics type [Letter]. Journal of Physics A: Mathematical and General 26 (7) , L361-L364. 10.1088/0305-4470/26/7/002 |