Items where Author is "Anthony, Martin"

Anthony, Martin ORCID: 0000-0002-7796-6044 and Ratsaby, Joel (2020) Large-width machine learning algorithm. Progress in Artificial Intelligence, 9 (3). 275 – 285. ISSN 2192-6360

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 and Ratsaby, Joel (2018) Large-width bounds for learning half-spaces on distance spaces. Discrete Applied Mathematics. ISSN 0166-218X

Anthony, Martin ORCID: 0000-0002-7796-6044 and Ratsaby, Joel (2017) Classification based on prototypes with spheres of influence. Information and Computation, 256. pp. 372-380. ISSN 0890-5401

Anthony, Martin ORCID: 0000-0002-7796-6044, 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044, 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 ORCID: 0000-0002-7796-6044 and Ratsaby, Joel (2015) A probabilistic approach to case-based inference. Theoretical Computer Science, 589. pp. 61-75. ISSN 0304-3975

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044, 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 and Ratasaby, Joel (2012) Analysis of a multi-category classifier. Discrete Applied Mathematics, 160 (16-17). pp. 2329-2338. ISSN 0166-218X

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 and Harvey, Michele (2012) Linear algebra: concepts and methods. Cambridge University Press, Cambridge, UK. ISBN 9780521279482

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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, USA. (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, USA. (Submitted)

Anthony, Martin ORCID: 0000-0002-7796-6044 (2012) Probability in machine learning. In: Seel, Norbert M., (ed.) Encyclopedia of the Sciences of Learning. Springer Berlin / Heidelberg. ISBN 9781441914279

Anthony, Martin ORCID: 0000-0002-7796-6044 and Harvey, Michele (2012) Further linear algebra. International Programmes. University of London.

Anthony, Martin ORCID: 0000-0002-7796-6044 (2012) Generalization error bounds for the logical analysis of data. Discrete Applied Mathematics, 160 (10-11). pp. 1407-1415. ISSN 0166-218X

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 (2011) Generalization error bounds for the logical analysis of data. Rutcor Research Report (1-2011). Rutgers University, New Jersey, USA.

Anthony, Martin ORCID: 0000-0002-7796-6044 and Harvey, Michele (2011) Algebra. International Programmes. University of London.

Anthony, Martin ORCID: 0000-0002-7796-6044 (2011) The beauty of maths. LSE Connect (2011). Website.

Anthony, Martin ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 and Ratsaby, Joel (2010) Maximal width learning of binary functions. Theoretical Computer Science, 411 (1). pp. 138-147. ISSN 0304-3975

Anthony, Martin ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 and Hammer, P.L. (2009) A new imputation method for incomplete binary data. RUTCOR research report (RRR 15-2009). RUTCOR, Rutgers University.

Anthony, Martin ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 (2006) Abstract mathematics. University of London Press, London.

Anthony, Martin ORCID: 0000-0002-7796-6044 and Harvey, M (2006) Advanced linear algebra. University of London Press, London, UK. ISBN 0387978372

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044, 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 ORCID: 0000-0002-7796-6044 (2004) Some connections between learning and optimization. Discrete Applied Mathematics, 144 (1-2). pp. 17-26. ISSN 0166-218X

Anthony, Martin ORCID: 0000-0002-7796-6044 (2004) Partitioning points by parallel planes. Discrete Mathematics, 282 (1-3). pp. 17-21. ISSN 0012-365X

Anthony, Martin ORCID: 0000-0002-7796-6044 (2004) Generalization error bounds for threshold decision lists. Journal of Machine Learning Research, 5 (Feb). pp. 189-217. ISSN 1532-4435

Anthony, Martin ORCID: 0000-0002-7796-6044 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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (2004) On data classification by iterative linear partitioning. Discrete Applied Mathematics, 144 (1-2). pp. 2-16. ISSN 0166-218X

Anthony, Martin ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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, USA. (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, USA. (Submitted)

Anthony, Martin ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 and Bartlett, Peter L. (2000) Function learning from interpolation. Combinatorics, Probability and Computing, 9 (3). pp. 213-225. ISSN 0963-5483

Anthony, Martin ORCID: 0000-0002-7796-6044 (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 ORCID: 0000-0002-7796-6044 and Bartlett, P (1999) Neural network learning: theoretical foundations. Cambridge University Press, Cambridge, UK. ISBN 052157353x

Anthony, Martin ORCID: 0000-0002-7796-6044 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