# Professor David Saad

## Head of Mathematics

### Phone number: +44(0)121 204 3648

Email: d.saad@aston.ac.uk

Room number: MB313A

Profile

- BA in Physics (Cum Laude), Technion, Haifa, Israel, 1982

- BSc in Electrical and Electronic Engineering, (Cum Laude), Technion, Haifa, Israel, 1982

- MA in Physics, Tel-Aviv University, 1987

- PhD in Engineering, Tel-Aviv University, 1992

**Employment **

- 1999 – date: Professor of Information Mathematics in the School of Engineering and Applied Science, Aston University; Head of Mathematics 2006-2012 and again since 2015.

- 1997 – 1999: Reader in the NCRG and Department of Computer Science and Applied Mathematics, Aston University

- 1995 – 1997: Lecturer in the NCRG and Department of Computer Science and Applied Mathematics, Aston University.

- 1993 – 1995: Lecturer in the Physics Department, University of Edinburgh.

- Teaching on the Mathematics programmes:

- Partial Differential Equations (currently delivered by Bill Cox)

- Mathematical Methods

- Probabilistic Modelling

- Research interests
- Statistical mechanics of disordered systems

- Advanced Inference in complex systems

- Error Correcting Codes

- Multiuser communication (CDMA, broadcasting)

- Hard Computational Problems

- Computing with noise

- Distributed resources in networks (including routing and smart grids)

- Probabilistic control and relay switching in Smart-Grids, Industrial CASE Studentship, EPSRC, with ALSTOM Grid UK £89,924.
- Islands of Equilibrium in a Non-equilibrium World, Leverhulme Trust (RPG-2013-48) £155,624.

I have supervised about 10 PhD students and 13 MSc students. Current student: Elizabeth Harrison.

Fellow of the Institute of Mathematics and its Applications

- Harrison, E, Saad, D& Wong, KYM 2016, 'Message passing for distributed optimisation of power allocation with renewable resources'. in
*International conference on green building and smart grids.*vol. Accepted, IEEE, 2016 2nd International Conference on Intelligent Green Building and Smart Grid (IGBSG), Prague, Czech Republic, 27-29 June. - Ellis, AD, Mac Suibhne, N, Saad, D & Payne, DN2016, 'Communication networks beyond the capacity crunch'
*Philosophical Transactions A*, vol. 374, no. 2062, 20150191,10.1098/rsta.2015.0191 - Mozeika, A & Saad, D2015, 'On reliable computation by noisy random Boolean formulas'
*IEEE Transactions on Information Theory*, vol. 61, no. 1, pp. 637-644,10.1109/TIT.2014.2370638 - Saad, D, Yeung, CH, Rodolakis, G, Syrivelis, D, Koutsopoulos, I, Tassiulas, L, Urbanke, R, Giaccone, P & Leonardi, E 2014, 'Physics-inspired methods for networking and communications'
*IEEE Communications Magazine*, vol. 52, no. 11, pp. 144-151,10.1109/MCOM.2014.6957155 - Mahmoudi, H & Saad, D2014, 'Generalized mean field approximation for parallel dynamics of the Ising model'
*Journal of Statistical Mechanics*, vol. 2014, no. 7, P07001,10.1088/1742-5468/2014/07/P07001 - de Bacco, C, Franz, S, Saad, D& Yeung, CH 2014, 'Shortest node-disjoint paths on random graphs'
*Journal of Statistical Mechanics*, vol. 2014, no. 7, P07009,10.1088/1742-5468/2014/07/P07009 - Alamino, RC, Neirotti, JP & Saad, D2014, 'Compression by replication'
*Physical Review E*, vol. 89, no. 3, 033301,10.1103/PhysRevE.89.033301 - Yeung, CH & Saad, D2013, 'Self-sustained clusters and ergodicity breaking in spin models'
*Physical Review E*, vol. 88, no. 3, 032132,10.1103/PhysRevE.88.032132 - Yeung, CH, Saad, D& Wong, KYM 2013, 'From the physics of interacting polymers to optimizing routes on the London Underground'
*Proceedings of the National Academy of Sciences*, vol. 110, no. 34, pp. 13717-13722,10.1073/pnas.1301111110 - C. Alamino, R, P. Neirotti, J & Saad, D2013, 'Replication-based inference algorithms for hard computational problems'
*Physical Review E*, vol. 88, no. 1, 013313,10.1103/PhysRevE.88.013313 - Alamino, RC, Chattopadhyay, A & Saad, D2013, 'Interacting nonequilibrium systems with two temperatures'
*Physical Review E*, vol. 87, no. 5, 052123,10.1103/PhysRevE.87.052123 - Yeung, CH & Saad, D2013, 'Networking - a statistical physics perspective'
*Journal of Physics A: Mathematical and Theoretical*, vol. 46, no. 10,10.1088/1751-8113/46/10/103001 - Saad, D& Mozeika, A 2013, 'Emergence of equilibriumlike domains within nonequilibrium Ising spin systems'
*Physical Review E*, vol. 87, no. 3, 032131,10.1103/PhysRevE.87.032131 - Mahmoudi, H, Rodolakis, G, Georgiadis, L & Saad, D2013, 'Message-passing algorithms for optimal utilization of cognitive radio networks'. in
*2013 IEEE International Conference on Communications Workshops, ICC 2013.*IEEE, pp. 1393-1397,10.1109/ICCW.2013.6649455 - Yeung, C & Saad, D2012, 'Competition for shortest paths on sparse graphs'
*Physical Review Letters*, vol. 108, no. 20, 208701 ,10.1103/PhysRevLett.108.208701 - Mozeika, A & Saad, D2012, 'Phase transitions and memory effects in the dynamics of Boolean networks'
*Philosophical Magazine*, vol. 92, no. 1-3, pp. 210-229,10.1080/14786435.2011.602371 - Reichardt, J, Alamino, R & Saad, D2011, 'The interplay between microscopic and mesoscopic structures in complex networks'
*PLoS ONE*, vol. 6, no. 8, 21282,10.1371/journal.pone.0021282 - Mozeika, A & Saad, D2011, 'Dynamics of Boolean networks: an exact solution'
*Physical Review Letters*, vol. 106, no. 21, 214101, pp. 214101,10.1103/PhysRevLett.106.214101 - Mozeika, A, Saad, D& Raymond, J 2010, 'Noisy random Boolean formulae: a statistical physics perspective'
*Physical Review E*, vol. 82, no. 041112 , 041112,10.1103/PhysRevE.82.041112 - Mozeika, A, Saad, D& Raymond, J 2010, 'On the robustness of random Boolean formulae'
*Journal of Physics*, vol. 233, no. 1,10.1088/1742-6596/233/1/012015 - Mozeika, A, Saad, D& Raymond, J 2009, 'Computing with noise: phase transitions in Boolean formulas'
*Physical Review Letters*, vol. 103, no. 24, 248701, pp. 248701,10.1103/PhysRevLett.103.248701 - Raymond, J & Saad, D2009, 'Equilibrium properties of disordered spin models with two-scale interactions'
*Physical Review E*, vol. 80, no. 3, 031138, pp. 031138,10.1103/PhysRevE.80.031138 - Raymond, J & Saad, D2009, 'Composite CDMA—a statistical mechanics analysis'
*Journal of Statistical Mechanics*, vol. 2009, no. 5, P05015,10.1088/1742-5468/2009/05/P05015 - Alamino, RC & Saad, D2009, 'Properties of sparse random matrices over finite fields'
*Journal of Statistical Mechanics*, vol. 2009, no. 4, P04017, pp. P04017,10.1088/1742-5468/2009/04/P04017 - Mallard, E & Saad, D2008, 'Inference by belief propagation in composite systems'
*Physical Review E*, vol. 78, no. 2, 021107, pp. 021107,10.1103/PhysRevE.78.021107 - Yano, T, Tanaka, T & Saad, D2008, 'A mean field theory of coded CDMA systems'
*Journal of Physics A: Mathematical and General*, vol. 41, no. 32, 324022, pp. 324022,10.1088/1751-8113/41/32/324022 - Wong, KYM & Saad, D2008, 'Minimizing unsatisfaction in colourful neighbourhoods'
*Journal of Physics A: Mathematical and General*, vol. 41, no. 32, 324023, pp. 324023,10.1088/1751-8113/41/32/324023 - Alamino, RC & Saad, D2008, 'Typical kernel size and number of sparse random matrices over Galois fields: a statistical physics approach'
*Physical Review E*, vol. 77, no. 6, 061123, pp. 1-12,10.1103/PhysRevE.77.061123 - Alamino, RC & Saad, D2008, 'Typical performance of generalised vector channels'. in
*Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2008.*IEEE, pp. 598-602, 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008), Berlin, Germany, 1-3 April,10.1109/WIOPT.2008.4586143 - Wong, KYM, Saad, D& Yeung, CH 2008, 'Network optimisation - A statistical physics perspective'. in
*Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2008.*IEEE, pp. 577-582, 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008), Berlin, Germany, 1-3 April,10.1109/WIOPT.2008.4586136 - Alamino, RC & Saad, D2007, 'Typical behavior of relays in communication channels'
*Physical Review E*, vol. 76, no. 6, 061124, pp. 1-8,10.1103/PhysRevE.76.061124 - Neirotti, JP & Saad, D2007, 'Inference by replication in densely connected systems'
*Physical Review E*, vol. 76, no. 4, 046121, pp. 046121,10.1103/PhysRevE.76.046121 - Raymond, J & Saad, D2007, 'Sparsely spread CDMA - A statistical mechanics-based analysis'
*Journal of Physics A: Mathematical and Theoretical*, vol. 40, no. 41, pp. 12315-12333,10.1088/1751-8113/40/41/004 - Alamino, RC & Saad, D2007, 'Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels'
*Journal of Physics A: Mathematical and Theoretical*, vol. 40, no. 41, pp. 12259-12279,10.1088/1751-8113/40/41/001 - Efraim, H, Yacov, N, Shental, O, Kanter, I & Saad, D2007, 'Improved detection in CDMA for biased sources'
*Journal of Physics A: Mathematical and Theoretical*, vol. 40, no. 33, 003, pp. 9977-9985,10.1088/1751-8113/40/33/003 - Wong, KYM & Saad, D2007, 'Inference and optimization of real edges on sparse graphs: A statistical physics perspective'
*Physical Review E*, vol. 76, no. 1, 011115, pp. 011115,10.1103/PhysRevE.76.011115 - Bounkong, S, van Mourik, J & Saad, D2006, 'Coloring random graphs and maximizing local diversity'
*Physical Review E*, vol. 74, no. 5, 057101,10.1103/PhysRevE.74.057101 - Wong, KYM, Saad, D& Gao, Z 2006, 'Message passing for task redistribution on sparse graphs' Paper presented at Neural Information Processing Systems 18,23/10/06 -23/10/06 , pp. 1-8.
- Wong, KYM & Saad, D2006, 'Equilibration through local information exchange in networks'
*Physical Review E*, vol. 74, no. 1, 010104, pp. 1-4,10.1103/PhysRevE.74.010104 - Neirotti, JP & Saad, D2006, 'Efficient Bayesian inference for learning in the Ising linear perceptron and signal detection in CDMA'
*Physica A*, vol. 365, no. 1, pp. 203-210,10.1016/j.physa.2006.01.020 - Migliorini, G & Saad, D2006, 'Finite-connectivity spin-glass phase diagrams and low-density parity check codes'
*Physical Review E*, vol. 73, no. 2, 026122,10.1103/PhysRevE.73.026122 - Wong, KYM, Yeung, CH & Saad, D2006 'Distributed algorithms for global optimization on sparse networks of arbitrary bandwidths' Aston University, Birmingham.
- Bounkong, S, Toch, B & Saad, D2006, 'Optimal embedding for watermarking in discrete data spaces'. in M Barni, J Herrera-Joancomartí, S Katzenbeisser & F Pérez-González (eds),
*Information hiding: 7th international workshop, IH 2005, Barcelona, Spain, June 6-8, 2005. Revised selected papers.*Lecture notes in computer science, vol. 3727, Springer, Berlin (DE), pp. 77-90, 7th International Workshop on Information Hiding, Barcelona, Spain, 6-8 June,10.1007/11558859_7 - Wong, KYM, Yeung, CH & Saad, D2006, 'Message-passing for inference and optimization of real variables on sparse graphs'. in I King, J Wang, L-W Chan & D Wang (eds),
*Neural information processing: 13th international conference, ICONIP 2006, Hong Kong, China, October 3-6, 2006. Proceedings, Part II.*Lecture notes in computer science, vol. 4233, Springer, Berlin (DE), pp. 754-763, 13th International Conference on Neural Information Processing, Hong Kong, China, 3-6 October,10.1007/11893257_84 - Wong, KYM, Saad, D& Gao, Z 2005, 'Resource allocation in sparse graphs' Paper presented at European Conference on Complex Systems, 2005, Paris, France,1/01/05 -1/01/05 , .
- Neirotti, JP & Saad, D2005, 'Bayesian inference in densely connected networks applied to CDMA' Paper presented at European Conference on Complex Systems 2005, Paris,14/11/05 -18/11/05 , pp. 1-3.
- Neirotti, JP & Saad, D2005, 'Improved message passing for inference in densely connected systems'
*Europhysics Letters*, vol. 71, no. 5, pp. 866-872,10.1209/epl/i2005-10148-5 - Saad, D, Skantzos, NS & Kabashima, Y 2005, 'Security and reliability of LPDC based public-key cryptosystems'
*Progress of Theoretical Physics Supplement*, vol. 157, pp. 229-236,10.1143/PTPS.157.229 - Kabashima, Y & Saad, D2004, 'Statistical mechanics of low-density parity-check codes'
*Journal of Physics A: Mathematical and General*, vol. 37, no. 6, pp. R1-R43,10.1088/0305-4470/37/6/R01 - Bounkong, S, Toch, B, Saad, D & Lowe, D2003, 'ICA for watermarking digital images'
*Journal of Machine Learning Research*, vol. 4, no. 7-8, pp. 1471-1498. - Tanaka, T & Saad, D2003, 'Typical performance of regular low-density parity-check codes over general symmetric channels'
*Journal of Physics A: Mathematical and General*, vol. 36, no. 43, pp. 11143-11157,10.1088/0305-4470/36/43/033 - Skantzos, N, Saad, D& Kabashima, Y 2003, 'Analysis of common attacks in public-key cryptosystems based on low-density parity-check codes'
*Physical Review E*, vol. 68, no. 056125, 056125, pp. 056125/1-056125/11,10.1103/PhysRevE.68.056125 - Skantzos, N, van Mourik, J, Saad, D& Kabashima, Y 2003, 'Average and reliability error exponents in low-density parity-check codes'
*Journal of Physics A: Mathematical and General*, vol. 36, no. 43, pp. 11131-11141,10.1088/0305-4470/36/43/032 - Toch, B, Lowe, D & Saad, D2003, 'Watermarking of audio signals using independent component analysis'. in
*Proceedings of Third International Conference on Web Delivering of Music, 2003.*IEEE, pp. 71-74, Third International Conference on WEB Delivering of Music, 17-17 September,10.1109/WDM.2003.1233877 - Tanaka, T & Saad, D2003, 'A statistical-mechanical analysis of coded CDMA with regular LDPC codes'. in
*Proceedings of IEEE International Symposium on Information Theory, 2003.*IEEE, pp. 444-444, ISIT 2003, 4-4 July,10.1109/ISIT.2003.1228461 - Bounkong, S, Toch, B, Saad, D & Lowe, D2003, 'Structured codebooks for SCS watermarking' Paper presented at Signal Processing, Pattern Recognition, and Applications (SPPRA 2003),1/07/03 -1/07/03 , pp. 77-81.
- Bounkong, S, Saad, D & Lowe, D2003, 'Quantisation effects and watermarking capacity' Paper presented at Seventh International Symposium on Communications Theory and Applications,1/07/03 -1/07/03 , pp. 215-220.
- Nakamura, K, Kabashima, Y, Morelos-Zaragoza, R & Saad, D2003, 'Statistical mechanics of broadcast channels using low-density parity-check codes'
*Physical Review E*, vol. 67, no. 036703, pp. 1-9,10.1103/PhysRevE.67.036703 - Skantzos, NS, Van Mourik, J & Saad, D2003, 'Magnetization enumerator for real-valued symmetric channels in Gallager error-correcting codes'
*Physical Review E*, vol. 67, no. 3 , 037101,10.1103/PhysRevE.67.037101 - Saad, D2003, 'The theory of on-line learning: a statistical physicsapproach'. in M Schwaiger & O Opit (eds),
*Exploratory Data Analysis in Empirical Research: Proceedings of the 25th Annual Conference of the Gesellschaft für Klassifikation e.V, University of Munich, March 14-16, 2001.*Studies in Classification, Data Analysis, and Knowledge Organization, Springer, pp. 300-309, Studies in Classification, Data Analysis and Knowledge Organization, 1-1 January. - Mourik, JV & Saad, D2002, 'Random graph coloring: Statistical physics approach'
*Physical Review E*, vol. 66, no. 5, 056120, pp. 1-15,10.1103/PhysRevE.66.056120 - Skantzos, NS, Mourik, JV, Kabashima, Y & Saad, D2002 'Average error exponent in Gallager low-density parity-check codes' Aston University, Birmingham, UK.
- Van Mourik, J, Saad, D& Kabashima, Y 2002, 'Critical noise levels for low-density parity check decoding'
*Physical Review E*, vol. 66, no. 2, 026705,10.1103/PhysRevE.66.026705 - Tanaka, T & Saad, D2002 'Typical performance of low-density parity-check codes over general symmetric channels' Aston University.
- Mourik, JV, Saad, D& Kabashima, Y 2002 'Critical noise levels for LDPC decoding' Aston University.
- Bounkong, S, Saad, D & Lowe, D2002, 'Independent component analysis for domain independent watermarking'. in JR Dorronso (ed.),
*Artificial Neural Networks — ICANN 2002.*vol. 2415, Lecture Notes in Computer Science, Springer, Berlin, pp. 510-515, Artificial Neural Networks 2002, Madrid, Spain, 28-30 August,10.1007/3-540-46084-5_83 - Vicente, R, Saad, D& Kabashima, Y 2002, 'Low density parity check codes: a statistical physics perspective'. in PW Hawkes (ed.),
*Advances in electronics and electron physics.*vol. 125, Advances in Imaging and Electron Physics, vol. 125, Elsevier, pp. 231-353,10.1016/S1076-5670(02)80018-0 - Saad, D2002 'Final Report on EPSRC Research Grant GR/N00562' Aston University.
- Kabashima, Y, Sazuka, N, Nakamura, K & Saad, D2002, 'Evaluating zero error noise thresholds by replica method for Gallager code ensembles' Paper presented at ISIT 2002,1/01/02 -1/01/02 , pp. 1-1.
- Bounkong, S, Saad, D & Lowe, D2002, 'ICA based steganography' Paper presented at Second IMA International Conference on Mathematics in Communications,1/01/02 -1/01/02 , pp. 1-5.
- Van Mourik, J, Saad, D& Kabashima, Y 2002, 'Magnetization enumerator for LDPC codes - a statistical physics approach'. in
*Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on.*IEEE, pp. 256-256, ISIT 2002, 1-1 January,10.1109/ISIT.2002.1023528 - van Mourik, J, Saad, D& Kabashima, Y 2001, 'Weight vs magnetization enumerator for Gallager codes'. in B Honary (ed.),
*Cryptography and coding: Prooceeding of the8th IMA International Conference.*Lecture Notes in Computer Science, vol. 2260, Springer, Berlin, D, pp. 148-157. - Nakamura, K, Kabashima, Y & Saad, D2001, 'Statistical mechanics of low-density parity check error-correcting codes over Galois fields'
*Europhysics Letters*, vol. 56, no. 4, pp. 610-616,10.1209/epl/i2001-00564-y - Xiong, Y-S & Saad, D2001, 'Noise, regularizers, and unrealizable scenarios in online learning from restricted training sets'
*Physical Review E*, vol. 64, no. 1, 011919, pp. 1-18,10.1103/PhysRevE.64.011919 - Vicente, R, Saad, D& Kabashima, Y 2001, 'Error-correcting codes on a Bethe-like lattice'. in TK Leen, V Tresp & TG Dietterich (eds),
*Advances in neural information processing systems.*vol. 13, MIT, pp. 322-328, 14th Annual Neural Information Processing Systems Conference, Denver, CO, United States, 27-2 December. - Saad, D, Kabashima, Y & Murayama, T 2001, 'Public key cryptography and error correcting codes as Ising models'. in LPH P. Sollich & RF Streater (eds),
*Disordered and complex systems.*vol. 553, American Institute of Physics, New york, pp. 89-94, Disordered and Complex Systems, 9-9 February,10.1063/1.1358168 - Saad, D, Kabashima, Y & Vicente, R 2001, 'TAP for parity check error correcting codes'. in M Opper & D Saad (eds),
*Advanced mean field methods: Theory and practice.*Neural Information Processing, MIT, pp. 67-84. - Kabashima, Y & Saad, D2001, 'The TAP approach to intensive and extensive connectivity systems'. in M Opper & D Saad (eds),
*Advanced mean field methods: Theory and practice.*Neural Information Processing, MIT, Cambridge, US, pp. 51-65. - Opper, M & Saad, D(eds) 2001,
*Advanced mean field methods: theory and practice*. Neural Information Processing, MIT, Cambridge, Massachusetts (US). - Saad, D, Kabashima, Y, Murayama, T & Vicente, R 2001, 'Statistical physics of low density parity check error correcting codes'. in B Honary (ed.),
*Cryptography and Coding.*vol. 2260, Lecture Notes in Computer Science, Springer, Berlin / Heidelberg, pp. 307-316, Cryptography and Coding, 8-th IMA International Conference, 1-1 January,10.1007/3-540-45325-3_27 - Kabashima, Y, Sazuka, N, Nakamura, K & Saad, D2001, 'Tighter decoding reliability bound for Gallager's error-correcting code'
*Physical Review E*, vol. 64, no. 4, pp. 1-4,10.1103/PhysRevE.64.046113 - Coolen, ACC & Saad, D2000, 'Dynamics of learning with restricted training sets'
*Physical Review E*, vol. 62, no. 4, pp. 5444-5487,10.1103/PhysRevE.62.5444 - Vicente, R, Saad, D& Kabashima, Y 2000, 'Statistical physics of irregular low-density parity-check codes'
*Journal of Physics A: Mathematical and General*, vol. 33, no. 37, pp. 6527-6542,10.1088/0305-4470/33/37/305 - Vicente, R, Saad, D& Kabashima, Y 2000, 'Error-correcting code on a cactus: A solvable model'
*Europhysics Letters*, vol. 51, no. 6, pp. 698-704,10.1209/epl/i2000-00395-x - Kanter, I & Saad, D2000, 'Finite-size effects and error-free communication in Gaussian channels'
*Journal of Physics A: Mathematical and General*, vol. 33, no. 8, pp. 1675-1681,10.1088/0305-4470/33/8/311 - Kabashima, Y, Murayama, T & Saad, D2000, 'Typical performance of gallager-type error-correcting codes'
*Physical Review Letters*, vol. 84, no. 6, pp. 1355-1358. - Saad, D2000 'Final Report on EPSRC Research Grant GR/L52093' Aston University, Birmingham, UK.
- Vicente, R, Saad, D& Kabashima, Y 1999, 'Finite connectivity systems as error-correcting codes'
*Physical Review E*, vol. 60, no. 5, pp. 5352-5366,10.1103/PhysRevE.60.5352 - Scarpetta, S & Saad, D1999, 'On-line learning of unrealizable tasks'
*Physical Review E*, vol. 60, no. 5, pp. 5902-5911,10.1103/PhysRevE.60.5902 - Kanter, I & Saad, D1999, 'Error-correcting codes that nearly saturate Shannon's bound'
*Physical Review Letters*, vol. 83, no. 13, pp. 2660-2663,10.1103/PhysRevLett.83.2660 - Scarpetta, S, Rattray, M & Saad, D1999, 'Natural gradient matrix momentum'. in
*Ninth International Conference on Artificial Neural Networks, ICANN 99.*vol. 1, Conference Publication, vol. 470, IEEE, Edinburgh UK, pp. 43-48. - Kabashima, Y & Saad, D1999, 'Simple Gallager codes for BSC'. in
*Proceedings of the international workshop on soft computing in industry '99.*IEEE, pp. 136-140, Proceedings of the International Workshop on Soft Computing in Industry, 99, 1-1 June. - Kabashima, Y & Saad, D1999, 'The belief in TAP'. in MJ Kearns, SA Solla & D Cohn (eds),
*Advances in Neural Information Processing Systems 11.*vol. 11, Proceeding of the 1998 Conference, MIT, Cambridge MA, pp. 246-252. - Kabashima, Y & Saad, D1999, 'Statistical mechanics of error-correcting codes'
*Europhysics Letters*, vol. 45, no. 1, pp. 97-103,10.1209/epl/i1999-00137-2 - Rattray, M & Saad, D1999, 'Incorporating curvature information into on-line learning'. in D Saad (ed.),
*On-line learning in neural networks.*Publications of the Newton Institute, Cambridge University Press, Isaac Newton Institute, Cambridge, pp. 183-207, Proceedings of the on-line learning themed week, 1-1 January,10.2277/0521652634 - Saad, D (ed.)1999,
*On-line learning in neural networks*. Publications of the Newton Institute, vol. 17, Cambridge University Press, Cambridge,10.2277/0521652634 - Saad, D1999 'Final report on EPSRC research grant GR/L19232' Aston University, Aston University, Birmingham B4 7ET, UK.
- Kabashima, Y & Saad, D1998, 'Belief propagation vs. TAP for decoding corrupted messages'
*Europhysics Letters*, vol. 44, no. 5, pp. 668-674,10.1209/epl/i1998-00524-7 - Rattray, M & Saad, D1998, 'Transients and asymptotics of natural gradient learning'. in L Niklasson, M Boden & T Ziemke (eds),
*Proceedings of the 8th International Conference on Artificial Neural Networks.*vol. 1, Springer, pp. 165-170. - Rattray, M & Saad, D1998, 'The dynamics of matrix momentum'. in LF Niklasson, MB Boden & T Ziemke (eds),
*Proceedings of the 8th International Conference on Artificial Neural Networks.*vol. 1, Springer, pp. 183-188. - Saad, D& Rattray, M 1998, 'Globally optimal learning rates in multilayer neural networks'
*Philosophical Magazine Part B*, vol. 77, no. 5, pp. 1523-1530,10.1080/13642819808205044 - West, AHL & Saad, D1998, 'The role of biases in on-line learning of two-layer networks'
*Physical Review E*, vol. 57, no. 3, pp. 3265-3291,10.1103/PhysRevE.57.3265 - Saad, D& Rattray, M 1998, 'Learning with regularizers in multilayer neural networks'
*Physical Review E*, vol. 57, no. 2, pp. 2170-2176. - Rattray, M, Saad, D, Jordan, MI (ed.), Kearns, MJ (ed.) & Solla, SA (ed.) 1998, 'Globally optimal on-line learning rules'
*Advances in Neural Information Processing Systems*, vol. 10, pp. 322-328. - Rattray, M & Saad, D1997, 'Globally optimal on-line learning rules for multi-layer neural networks'
*Journal of Physics A: Mathematical and General*, vol. 30, no. 22, pp. L771-L776,10.1088/0305-4470/30/22/005 - Freeman, J & Saad, D1997, 'On-line learning in radial basis functions networks'
*Neural Computation*, vol. 9, no. 7, pp. 1601-1622. - Saad, D& Rattray, M 1997, 'Globally optimal parameters for on-line learning in multilayer neural networks'
*Physical Review Letters*, vol. 79, no. 13, pp. 2578-2581,10.1103/PhysRevLett.79.2578 - West, AHL & Saad, D1997, 'On-line learning with adaptive back-propagation in two-layer networks'
*Physical Review E*, vol. 56, no. 3, pp. 3426-3445,10.1103/PhysRevE.56.3426 - West, AHL & Saad, D1997, 'Threshold-induced phase transitions in perceptrons'
*Journal of Physics A: Mathematical and General*, vol. 30, no. 10, pp. 3471-3496,10.1088/0305-4470/30/10/023 - West, AHL, Saad, D, Nabney, IT, Mozer, MC (ed.), Petsche, T (ed.) & Jordan, MI (ed.) 1997, 'The learning dynamics of a universal approximator'
*Advances in Neural Information Processing Systems*, vol. 9, pp. 288-294. - Saad, D& Solla, SA 1997, 'On-line learning in multilayer neural networks'. in
*Proceedings of the first international conference on mathematics of neural networks : models, algorithms and applications: models, algorithms and applications.*Kluwer, Oxford. - Freeman, J & Saad, D1997, 'Dynamics of on-line learning in radial basis function networks'
*Physical Review E*, vol. 56, no. 1, pp. 907-918,10.1103/PhysRevE.56.907 - West, AHL & Saad, D1997, 'Capacity of the upstart algorithm'. in SW Ellacott, JC Mason & IJ Anderson (eds),
*Mathematics of Neural Networks: Models, Algorithms and Applications.*Kluwer, Oxford, pp. 372-378. - Saad, D1996, 'General gaussian priors for improved generalisation'
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