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Anthony, Martin and Ratsaby, Joel (2020) Large-width machine learning algorithm. Progress in Artificial Intelligence, 9 (3). 275 – 285. ISSN 2192-6360
Anthony, Martin and Ratsaby, Joel (2018) Large width nearest prototype classification on general distance spaces. Theoretical Computer Science, 738 (22). pp. 65-79. ISSN 0304-3975
Anthony, Martin and Ratsaby, Joel (2018) Large-width bounds for learning half-spaces on distance spaces. Discrete Applied Mathematics. ISSN 0166-218X
Anthony, Martin and Ratsaby, Joel (2017) Classification based on prototypes with spheres of influence. Information and Computation, 256. pp. 372-380. ISSN 0890-5401
Anthony, Martin, Boros, Endre, Crama, Yves and Gruber, Aritanan (2017) Quadratic reformulations of nonlinear binary optimization problems. Mathematical Programming, 162 (1). pp. 115-144. ISSN 0025-5610
Anthony, Martin and Ratsaby, Joel (2016) Multi-category classifiers and sample width. Journal of Computer and System Sciences, 82 (8). pp. 1223-1231. ISSN 0022-0000
Anthony, Martin, Boros, Endre, Crama, Yves and Gruber, Aritanan (2016) Quadratization of symmetric pseudo-Boolean functions. Discrete Applied Mathematics, 203. pp. 1-12. ISSN 0166-218X
Anthony, Martin and Ratsaby, Joel (2015) A probabilistic approach to case-based inference. Theoretical Computer Science, 589. pp. 61-75. ISSN 0304-3975
Anthony, Martin and Ratsaby, Joel (2014) A hybrid classifier based on boxes and nearest neighbors. Discrete Applied Mathematics, 172. pp. 1-11. ISSN 0166-218X
Anthony, Martin and Ratsaby, Joel (2014) Learning bounds via sample width for classifiers on finite metric spaces. Theoretical Computer Science, 529. pp. 2-10. ISSN 0304-3975
Anthony, Martin, Boros, Endre, 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 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. IEEE, New York, USA, pp. 112-119. ISBN 9781479915682 (Submitted)
Anthony, Martin and Ratsaby, Joel (2013) Quantifying accuracy of learning via sample width. In: 2013 IEEE Symposium on Foundations of Computational Intelligence (FOCI). IEEE, Singapore, Singapore, pp. 84-90. ISBN 9781467359016
Anthony, Martin and Ratsaby, Joel (2013) Large margin case-based reasoning. RUTCOR Research Reports (RRR 2-2013). Rutgers, The State University of New Jersey, 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). pp. 355-364. ISSN 0166-218X
Anthony, Martin and Ratasaby, Joel (2012) Analysis of a multi-category classifier. Discrete Applied Mathematics, 160 (16-17). pp. 2329-2338. ISSN 0166-218X
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 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 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.
Subasi, Munevver Mine, Subasi, Ersoy, Anthony, Martin and Hammer, Peter L. (2012) A new imputation method for incomplete binary data. In: International Symposium on Artificial Intelligence and Mathematics, 2012-01-09 - 2012-01-11, Fort Lauderdale FL, United States. (Submitted)
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, 2012-01-09 - 2012-01-11, Fort Lauderdale FL, United States. (Submitted)
Anthony, Martin (2012) Probability in machine learning. In: Seel, Norbert M., (ed.) Encyclopedia of the Sciences of Learning. Springer Berlin / Heidelberg. ISBN 9781441914279
Anthony, Martin and Harvey, Michele (2012) Further linear algebra. International Programmes. University of London.
Anthony, Martin (2012) Generalization error bounds for the logical analysis of data. Discrete Applied Mathematics, 160 (10-11). pp. 1407-1415. ISSN 0166-218X
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.
Subasi, Munevver Mine, Subasi, Ersoy, Anthony, Martin and Hammer, Peter L. (2011) A new imputation method for incomplete binary data. Discrete Applied Mathematics, 159 (10). pp. 1040-1047. ISSN 0166-218X
Anthony, Martin (2011) Generalization error bounds for the logical analysis of data. Rutcor Research Report (1-2011). Rutgers University, New Jersey, USA.
Anthony, Martin and Harvey, Michele (2011) Algebra. International Programmes. University of London.
Anthony, Martin (2011) The beauty of maths. LSE Connect (2011). Website.
Anthony, Martin (2010) Neural networks and 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, pp. 554-576. ISBN 9780521847520
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, pp. 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, pp. 577-598. ISBN 9780521847520
Anthony, Martin and Ratsaby, Joel (2010) Maximal width learning of binary functions. Theoretical Computer Science, 411 (1). pp. 138-147. ISSN 0304-3975
Anthony, Martin (2009) On constructing threshold networks for pattern classification. In: Franco, Leonardo, Elizondo, David A. and Jerez, José M., (eds.) Constructive Neural Networks. Studies in computational intelligence (258). Springer Berlin / Heidelberg, Berlin, Germany, pp. 71-82. ISBN 9783642045110
Subasi, M., Subasi, E., Anthony, Martin and Hammer, P. L. (2009) Using a similarity measure for credible classification. Discrete Applied Mathematics, 157 (5). pp. 1104-1112. ISSN 0166-218X
Subasi, Mine, Subasi, Ersoy, Anthony, Martin and Hammer, P.L. (2009) A new imputation method for incomplete binary data. RUTCOR research report (RRR 15-2009). RUTCOR, Rutgers University.
Anthony, Martin (2008) Aspects of discrete mathematics and probability in the theory of machine learning. Discrete Applied Mathematics, 156 (6). pp. 883-902. ISSN 0166-218X
Anthony, Martin (2007) On the generalization error of fixed combinations of classifiers. Journal of Computer and System Sciences, 73 (5). pp. 725-734. ISSN 0022-0000
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 and Franco, Leonardo (2006) The influence of oppositely classified examples on the generalization complexity of Boolean functions. IEEE Transactions on Neural Networks, 17 (3). pp. 578-590. ISSN 1045-9227
Anthony, Martin (2006) Abstract mathematics. University of London Press, London.
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). pp. 2242-2246. ISSN 0166-218X
Franco, L., Subirats, J.L., 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, pp. 4791-4796.
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 (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) Learning boolean functions. CDAM research report series (CDAM-LSE-2005-24). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Anthony, Martin, Hammer, P. L., 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) Some connections between learning and optimization. Discrete Applied Mathematics, 144 (1-2). pp. 17-26. ISSN 0166-218X
Anthony, Martin (2004) Partitioning points by parallel planes. Discrete Mathematics, 282 (1-3). pp. 17-21. ISSN 0012-365X
Anthony, Martin (2004) Generalization error bounds for threshold decision lists. Journal of Machine Learning Research, 5 (Feb). pp. 189-217. ISSN 1532-4435
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 (2004) On Learning a Function of Perceptrons. In: Proceedings of the IEEE 2004 International Joint Conference on Neural Networks. IEEE Press, pp. 967-972. ISBN 0780383591
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) On data classification by iterative linear partitioning. Discrete Applied Mathematics, 144 (1-2). pp. 2-16. ISSN 0166-218X
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.
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) Accuracy of classification by iterative linear thresholding. In: SIAM International Conference on Data Mining, 2003-05-01 - 2003-05-03, CA., United States. (Submitted)
Anthony, Martin (2003) Data classification by multithreshold functions. In: SIAM International Conference on Data Mining, 2003-05-01 - 2003-05-03, CA., United States. (Submitted)
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.
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) 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 (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 (2002) Analysis of data with threshold decision lists. CDAM research report series (LSE-CDAM-2002-12). 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) 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) 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 (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 / Heidelberg, Berlin; New York, pp. 181-189. ISBN 9783540442653
Anthony, Martin (2001) Discrete mathematics of neural networks: selected topics. SIAM monographs on discrete mathematics and applications. Society for Industrial and Applied Mathematics, New York. ISBN 9780898714807
Anthony, Martin and Bartlett, Peter L. (2000) Function learning from interpolation. Combinatorics, Probability and Computing, 9 (3). pp. 213-225. ISSN 0963-5483
Anthony, Martin (1999) Accuracy of techniques for the logical analysis of data. Discrete Applied Mathematics, 96-97 (1-3). pp. 247-257. ISSN 0166-218X
Anthony, Martin and Bartlett, P (1999) Neural network learning: theoretical foundations. Cambridge University Press, Cambridge, UK. ISBN 052157353x
Anthony, Martin and Biggs, Norman (1995) Pac learning and artificial neural networks. In: Arbib, Michael A., (ed.) Handbook of Brain Theory and Neural Networks. MIT Press, Cambridge, MA, USA, pp. 694-697. ISBN 9780262011488
