Anthony, Martin

Anthony, Martin and Boros, Endre and Crama, Yves and Gruber, Aritanan (2016) Quadratic reformulations of nonlinear binary optimization problems Mathematical Programming. ISSN 0025-5610

Anthony, Martin and Boros, Endre and Crama, Yves and Gruber, Aritanan (2016) Quadratization of symmetric pseudo-Boolean functions Discrete Applied Mathematics, 203. 1-12. ISSN 0166-218X

Anthony, Martin and Ratsaby, Joel (2014) Learning bounds via sample width for classifiers on finite metric spaces Theoretical Computer Science, 529. 2-10. ISSN 0304-3975

Anthony, Martin and Ratsaby, Joel (2014) Classification based on prototypes with spheres of influence London School of Economics and Political Science, Department of Mathematics, London, UK.

Anthony, Martin and Ratsaby, Joel (2013) Quantifying accuracy of learning via sample width Proceedings of the 2013 IEEE Symposium on Foundations of Computational Intelligence (Foci): 2013 IEEE Symposium Series on Com. 84-90. ISSN 9781467359016

Anthony, Martin and Ratsaby, Joel (2013) Maximal-margin case-based inference In: Jin, Yaochu and Thomas, Spencer Angus, (eds.) 2013 13th Uk Workshop on Computational Intelligence (Ukci): Management School Foyer, University of Surrey, Guildford, Surrey, Uk. IEEE Conference Publications. Institute of Electrical and Electronics Engineers, New York, USA, 112-119. ISBN 9781479915682

Anthony, Martin and Boros, Endre and Crama, Yves and Gruber, Aritanan (2013) Quadratization of symmetric pseudo-Boolean functions RUTCOR Research Reports, RRR 12-2013. Rutgers University, Rutgers Center for Operations Research, New Jersey, USA.

Anthony, Martin (2012) Probability in machine learning In: Seel, Norbert M. , (ed.) Encyclopedia of the Sciences of Learning. Springer Verlag. ISBN 9781441914279

Anthony, Martin and Ratsaby, Joel (2012) The performance of a new hybrid classifier based on boxes and nearest neighbors. In: International Symposium on Artificial Intelligence and Mathematics, 9th-11th January 2012, Fort Lauderdale

Subasi, Munevver Mine and Subasi, Ersoy and Anthony, Martin and Hammer, Peter L. (2012) A new imputation method for incomplete binary data. In: International Symposium on Artificial Intelligence and Mathematics, 9th-11th January 2012, Fort Lauderdale

Anthony, Martin and Ratsaby, Joel (2012) Sample width for multi-category classifiers RUTCOR Research Reports, RRR 29-2012. RUTCOR, Rutgers University, Piscataway, New Jersey, USA.

Anthony, Martin and Ratsaby, Joel (2012) Robust cutpoints in the logical analysis of numerical data Discrete Applied Mathematics, 160 (4 - 5). 355-364. ISSN 0166-218X

Anthony, Martin (2012) Generalization error bounds for the logical analysis of data Discrete Applied Mathematics, 160 (10-11). 1407-1415. ISSN 0166-218X

Anthony, Martin and Harvey, Michele (2012) Linear algebra: concepts and methods Cambridge University Press, Cambridge, UK. ISBN 9780521279482

Anthony, Martin and Ratsaby, Joel (2012) Learning on finite metric spaces RUTCOR research reports, RRR 19-2012. Center for Operations Research, Rutgers University, Piscataway, New Jersey.

Anthony, Martin and Ratasaby, Joel (2012) Analysis of a multi-category classifier Discrete Applied Mathematics, 160 (16-17). 2329-2338. ISSN 0166-218X

Anthony, Martin and Ratsaby, Joel (2012) Using boxes and proximity to classify data into several categories RUTCOR research reports, RRR 7-2012. Center for Operations Research, Rutgers University, Piscataway, New Jersey.

Anthony, Martin (2011) The beauty of maths LSE Connect (1 Jan 2011) 19

Anthony, Martin and Ratsaby, Joel (2011) The performance of a new hybrid classifier based on boxes and nearest neighbors RUTCOR research reports, RRR 17-2011. Center for Operations Research, Rutgers University, Piscataway, New Jersey.

Anthony, Martin (2011) Generalization error bounds for the logical analysis of data Rutcor Research Report, 1-2011. Rutgers University, New Jersey, USA.

Subasi, Munevver Mine and Subasi, Ersoy and Anthony, Martin and Hammer, Peter L. (2011) A new imputation method for incomplete binary data Discrete Applied Mathematics, 159 (10). 1040-1047. ISSN 0166-218X

Anthony, Martin (2010) Probabilistic learning of boolean functions In: Grama, Yves and Hammer, Peter L., (eds.) Boolean Models and Methods in Mathematics, Computer Science, and Engineering. Encyclopedia of mathematics and its applications (134). Cambridge University Press, New York, USA, 197-220. ISBN 9780521847520

Anthony, Martin (2010) Decision lists and related classes of boolean functions In: Crama, Yves and Hammer, Peter L., (eds.) Boolean Models and Methods in Mathematics, Computer Science, and Engineering. Encyclopedia of mathematics and its applications (134). Cambridge University Press, New York, USA, 577-598. ISBN 9780521847520

Anthony, Martin and Ratsaby, Joel (2010) Maximal width learning of binary functions Theoretical Computer Science, 411 (1). 138-147. ISSN 0304-3975

Anthony, Martin (2009) On constructing threshold networks for pattern classification In: Franco, Leonardo and Elizondo, David A. and Jerez, José M., (eds.) Constructive Neural Networks. Studies in computational intelligence (258). Springer, Berlin, Germany, 71-82. ISBN 9783642045110

Subasi, M. and Subasi, E. and Anthony, Martin and Hammer, P. L. (2009) Using a similarity measure for credible classification Discrete Applied Mathematics, 157 (5). 1104-1112. ISSN 0166-218X

Anthony, Martin (2007) Advanced mathematical analysis 2790041. University of London Press, London, UK.

Anthony, Martin and Harvey, M (2006) Advanced linear algebra University of London Press, London, UK. ISBN 0387978372

Anthony, Martin and Hammer, Peter Ladislaw (2006) A Boolean measure of similarity Discrete Applied Mathematics, 154 (16). 2242-2246. ISSN 0166-218X

Anthony, Martin and Franco, Leonardo (2006) The influence of oppositely classified examples on the generalization complexity of Boolean functions IEEE Transactions on Neural Networks, 17 (3). 578-590. ISSN 1045-9227

Franco, L. and Subirats, J.L. and Anthony, Martin and Jerez, J.M. (2006) A new constructive approach for creating all linearly separable (threshold) functions In: International Joint Conference on Neural Networks, 2006. Ijcnn '06. IEEE, Vancouver, Canada, 4791-4796.

Anthony, Martin and Ratsaby, Joel (2006) Maximal width learning of binary functions CDAM research report series, CDAM-LSE-2006-11. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2005) Decision lists CDAM research report series, CDAM-LSE-2005-23. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2005) Connections between neural networks and boolean functions CDAM research report series, CDAM-LSE-2005-25. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin and Hammer, P. L. and Subasi, E. and Subasi, M. (2005) Using a similarity measure for credible classification CDAM research report series, CDAM-LSE-2005-22. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2004) On data classification by iterative linear partitioning Discrete Applied Mathematics, 144 (1-2). 2-16. ISSN 0166-218X

Anthony, Martin (2004) Generalization error bounds for threshold decision lists Journal of Machine Learning Research, 5 (Feb). 189-217. ISSN 1532-4435

Franco, Leonardo and Anthony, Martin (2004) On a generalisation complexity measure for boolean functions In: Proceedings of the IEEE 2004 International Joint Conference on Neural Networks. IEEE Press. ISBN 0780383591

Anthony, Martin (2004) Some connections between learning and optimization Discrete Applied Mathematics, 144 (1-2). 17-26. ISSN 0166-218X

Anthony, Martin (2004) On Learning a Function of Perceptrons In: Proceedings of the IEEE 2004 International Joint Conference on Neural Networks. IEEE Press, 967-972. ISBN 0780383591

Anthony, Martin and Hammer, Peter L. (2004) A Boolean measure of similarity RUTCOR research reports, 27-2004. Rutgers Center for Operations Research, Rutgers University, New Jersey, USA.

Anthony, Martin (2003) Accuracy of classification by iterative linear thresholding. In: SIAM International Conference on Data Mining, 1-3 May 2003, San Francisco, CA., USA

Anthony, Martin (2003) Links between learning and optimization: a brief tutorial CDAM research report series, LSE-CDAM-2003-02. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2003) Boolean functions and artificial neural networks CDAM research report series, LSE-CDAM-2003-01. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2003) Margin-based generalization error bounds for threshold decision lists CDAM research report series, LSE-CDAM-2003-09. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Franco, Leonardo and Anthony, Martin (2003) The influence of opposite examples and randomness on the generalization complexity of Boolean functions CDAM research report series, LSE-CDAM-2003-21. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2003) On Boolean combinations of definitive classifiers CDAM Research Report Series, LSE-CDAM-2003-22. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2003) Learning multivalued multithreshold functions CDAM Research Report Series, LSE-CDAM-2003-03. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2002) Mathematical modelling of generalization In: Marinaro, M. and Tagliaferri, R., (eds.) Neural Nets: 13th Italian Workshop on Neural Nets, Wirn Vietri 2002 Vietri Sul Mare, Italy, May 30-June 1, 2002. Lecture notes in computer science (2486). Springer, Berlin; New York, 181-189. ISBN 9783540442653

Anthony, Martin (2002) The sample complexity and computational complexity of Boolean function learning CDAM research report series, LSE-CDAM-2002-13. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2002) Decision lists and threshold decision lists CDAM research report series, LSE-CDAM-2002-11. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2002) Partitioning points by parallel planes CDAM research report series, LSE-CDAM-2002-10. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (2002) Uniform Glivenko-Cantelli theorems and concentration of measure in the mathematical modelling of learning CDAM research report series, LSE-CDAM-2002-07. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

Anthony, Martin (1999) Accuracy of techniques for the logical analysis of data Discrete Applied Mathematics, 96-97 (1-3). 247-257. ISSN 0166-218X