Browse by Aston Author

Alves, Felippe and Saad, David (2024). The futility of being selfish in vaccine distribution. Journal of Physics: Complexity, 5 (3),

Li, Bo and Saad, David (2024). Infection-induced cascading failures – impact and mitigation. Communications Physics, 7 (1),

Xu, Yi-Zhi and Saad, David (2023). Network Pruning and Growth - Probabilistic Optimization. Physical Review Research, 5 (3),

Li, Bo, Saad, David and Yeung, Chi Ho (2022). Bilevel optimization in flow networks: A message-passing approach. Physical Review E, 106 (4),

Raykov, Yordan and Saad, David (2022). Principled machine learning. IEEE Journal of Selected Topics in Quantum Electronics, 28 (4),

Xu, Yi-Zhi, Po, Ho Fai, Yeung, Chi Ho and Saad, David (2022). Scalable node-disjoint and edge-disjoint multiwavelength routing. Physical Review E, 105 (4),

Li, Bo and Saad, David (2021). Impact of presymptomatic transmission on epidemic spreading in contact networks: A dynamic message-passing analysis. Physical Review E, 103 (5),

Sun, Hanlin, Saad, David and Lokhov, Andrey Y. (2021). Competition, Collaboration, and Optimization in Multiple Interacting Spreading Processes. Physical Review X, 11 (1),

Po, Ho Fai, Yeung, Chi Ho and Saad, David (2021). Futility of being selfish in optimized traffic. Physical Review E, 103 (2),

Badiu, Mihai Alin, Saad, David and Coon, Justin P (2021). Self-organization scheme for balanced routing in large-scale multi-hop networks. Journal of Physics A: Mathematical and Theoretical, 54 (4),

Mozeika, Alexander, Li, Bo and Saad, David (2020). Space of Functions Computed by Deep-Layered Machines. Physical Review Letters, 125 (16),

Li, Bo, Saad, David and Lokhov, Andrey Y. (2020). Reducing urban traffic congestion due to localized routing decisions. Physical Review Research, 2 (3),

Li, Bo and Saad, David (2020). Examining Two-stage Group Testing. Technical Report. UNSPECIFIED. (Unpublished)

Li, Bo and Saad, David (2020). Large deviation analysis of function sensitivity in random deep neural networks. Journal of Physics A: Mathematical and Theoretical, 53 (10),

Saad, David, Yeung, Chi Ho, Zhou, Hai-Jun and Xu, Yi-Zhi (2018). Entropy inflection and invisible low-energy states: Defensive alliance example. Physical Review Letters, 121 ,

Rocchi, Jacopo, Saad, David and Yeung, Chi Ho (2018). Slow spin dynamics and self-sustained clusters in sparsely connected systems. Physical Review E, 97 (6),

Li, Bo and Saad, David (2018). Exploring the Function Space of Deep-Learning Machines. Physical Review Letters, 120 (24),

Li, Bin, Michael Wong, K. Y., Chan, Amos H.M., So, Tsz Yan, Heimonen, Hermanni, Wei, Junyi and Saad, David (2017). How market structure drives commodity prices. Journal of Statistical Mechanics: Theory and Experiment, 2017 (11),

Rocchi, Jacopo, Saad, David and Tantari, Daniele (2017). High storage capacity in the Hopfield model with auto-interactions - stability analysis. Journal of Physics A: Mathematical and Theoretical, 50 ,

Lokhov, Andrey Y. and Saad, David (2017). Optimal deployment of resources for maximizing impact in spreading processes. Proceedings of the National Academy of Sciences, 114 (39), E8138-E8146.

Rocchi, Jacopo, Saad, David and Yeung, Chi Ho (2017). Self-sustained clusters as drivers of computational hardness in p-spin models. Physical Review B, 96 (2),

Rocchi, Jacopo, Tsui, Enoch Yan Lok and Saad, David (2017). Emerging interdependence between stock values during financial crashes. PLoS ONE, 12 (5),

Li, Bo and Saad, David (2017). Chimera-like states in structured heterogeneous networks. Chaos, 27 (4),

Harrison, Elizabeth, Saad, David and Wong, K.Y. Michael (2017). Optimal load shedding in electricity grids with renewable sources via message passing. Energy Procedia, 107 , pp. 101-108.

Li, Bin, Saad, David, Wong, K.Y. Michael, Chan, Amos H.M., So, Tsz Yan and Heimonen, Hrmanni (2017). Commodity prices rise sharply at turning points. Working Paper. American Physical Society.

Wong, K.Y. Michael, Saad, David and Yeung, Chi Ho (2016). Distributed optimization in transportation and logistics networks. IEICE Transactions on Communications, E99-B (11), pp. 2237-2246.

Harrison, Elizabeth, Saad, David and Wong, K. Y. Michael (2016). Optimal distribution in smart grids with volatile renewable sources using a message passing algorithm. International Journal of Smart Grid and Clean Energy, 5 (4), pp. 221-228.

Harrison, Elizabeth, Saad, David and Wong, K.Y. Michael (2016). Message passing for distributed optimisation of power allocation with renewable resources. IN: The proceedings of the 2nd International Conference on Intelligent Green Building and Smart Grid (IGBSG). CZE: IEEE.

Ellis, A.D., Mac Suibhne, N., Saad, D. and Payne, D.N. (2016). Communication networks beyond the capacity crunch. Philosophical Transactions A, 374 (2062),

Mozeika, Alexander and Saad, David (2015). On reliable computation by noisy random Boolean formulas. IEEE Transactions on Information Theory, 61 (1), pp. 637-644.

Saad, David, Yeung, Chi Ho, Rodolakis, Georgios, Syrivelis, Dimitris, Koutsopoulos, Iordanis, Tassiulas, Leandros, Urbanke, Rüdiger, Giaccone, Paolo and Leonardi, Emilio (2014). Physics-inspired methods for networking and communications. IEEE Communications Magazine, 52 (11), pp. 144-151.

Mahmoudi, Hamed and Saad, David (2014). Generalized mean field approximation for parallel dynamics of the Ising model. Journal of Statistical Mechanics, 2014 (7),

de Bacco, C., Franz, S., Saad, D. and Yeung, C.H. (2014). Shortest node-disjoint paths on random graphs. Journal of Statistical Mechanics, 2014 (7),

Alamino, Roberto C., Neirotti, Juan P. and Saad, David (2014). Compression by replication. Physical Review E, 89 (3),

Yeung, Chi H. and Saad, David (2013). Self-sustained clusters and ergodicity breaking in spin models. Physical Review E, 88 (3),

Yeung, Chi H., Saad, David and Wong, K.Y. Michael (2013). From the physics of interacting polymers to optimizing routes on the London Underground. Proceedings of the National Academy of Sciences, 110 (34), pp. 13717-13722.

C. Alamino, Roberto, P. Neirotti, Juan and Saad, David (2013). Replication-based inference algorithms for hard computational problems. Physical Review E, 88 (1),

Alamino, Roberto C., Chattopadhyay, Amit and Saad, David (2013). Interacting nonequilibrium systems with two temperatures. Physical Review E, 87 (5),

Yeung, Chi H. and Saad, David (2013). Networking - a statistical physics perspective. Journal of Physics A: Mathematical and Theoretical, 46 (10),

Saad, David and Mozeika, Alexander (2013). Emergence of equilibriumlike domains within nonequilibrium Ising spin systems. Physical Review E, 87 (3),

Mahmoudi, Hamed, Rodolakis, Georgios, Georgiadis, Leonidas and Saad, David (2013). Message-passing algorithms for optimal utilization of cognitive radio networks. IN: 2013 IEEE International Conference on Communications Workshops, ICC 2013. IEEE.

Yeung, Chi and Saad, David (2012). Competition for shortest paths on sparse graphs. Physical Review Letters, 108 (20),

Mozeika, Alexander and Saad, David (2012). Phase transitions and memory effects in the dynamics of Boolean networks. Philosophical Magazine, 92 (1-3), pp. 210-229.

Reichardt, Jörg, Alamino, Roberto C. and Saad, David (2011). The interplay between microscopic and mesoscopic structures in complex networks. PLoS ONE, 6 (8),

Mozeika, Alexander and Saad, David (2011). Dynamics of Boolean networks: an exact solution. Physical Review Letters, 106 (21), p. 214101.

Mozeika, Alexander, Saad, David and Raymond, Jack (2010). Noisy random Boolean formulae:a statistical physics perspective. Physical Review E, 82 (041112),

Mozeika, Alexander, Saad, David and Raymond, Jack (2010). On the robustness of random Boolean formulae. Journal of Physics: Conference Series, 233 (1),

Mozeika, Alexander, Saad, David and Raymond, Jack (2009). Computing with noise: phase transitions in Boolean formulas. Physical Review Letters, 103 (24), p. 248701.

Raymond, Jack and Saad, David (2009). Equilibrium properties of disordered spin models with two-scale interactions. Physical Review E, 80 (3), 031138.

Raymond, Jack and Saad, David (2009). Composite CDMA—a statistical mechanics analysis. Journal of Statistical Mechanics, 2009 (5),

Alamino, Roberto C. and Saad, David (2009). Properties of sparse random matrices over finite fields. Journal of Statistical Mechanics, 2009 (4), P04017.

Mallard, Etienne and Saad, David (2008). Inference by belief propagation in composite systems. Physical Review E, 78 (2), 021107.

Wong, K.Y. Michael and Saad, David (2008). Minimizing unsatisfaction in colourful neighbourhoods. Journal of Physics A: Mathematical and General, 41 (32), p. 324023.

Yano, Toru, Tanaka, Toshiyuki and Saad, David (2008). A mean field theory of coded CDMA systems. Journal of Physics A: Mathematical and General, 41 (32), p. 324022.

Alamino, Roberto C. and Saad, David (2008). Typical kernel size and number of sparse random matrices over Galois fields: a statistical physics approach. Physical Review E, 77 (6), pp. 1-12.

Wong, K.Y. Michael, Saad, David and Yeung, C.H. (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. DEU: IEEE.

Alamino, Roberto C. and Saad, David (2008). 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. DEU: IEEE.

Alamino, Roberto C. and Saad, David (2007). Typical behavior of relays in communication channels. Physical Review E, 76 (6), pp. 1-8.

Neirotti, Juan P. and Saad, David (2007). Inference by replication in densely connected systems. Physical Review E, 76 (4),

Raymond, Jack and Saad, David (2007). Sparsely spread CDMA - A statistical mechanics-based analysis. Journal of Physics A: Mathematical and Theoretical, 40 (41), pp. 12315-12333.

Alamino, Roberto C. and Saad, David (2007). Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels. Journal of Physics A: Mathematical and Theoretical, 40 (41), pp. 12259-12279.

Efraim, Hadar, Yacov, Nadav, Shental, Ori, Kanter, Ido and Saad, David (2007). Improved detection in CDMA for biased sources. Journal of Physics A: Mathematical and Theoretical, 40 (33), pp. 9977-9985.

Wong, K.Y. Michael and Saad, David (2007). Inference and optimization of real edges on sparse graphs:A statistical physics perspective. Physical Review E, 76 (1), 011115.

Bounkong, S., van Mourik, Jort and Saad, David (2006). Coloring random graphs and maximizing local diversity. Physical Review E, 74 (5),

Wong, K. Y. Michael, Saad, David and Gao, Zhuo (2006). Message passing for task redistribution on sparse graphs. IN: Neural Information Processing Systems 18. 2006-10-23 - 2006-10-23.

Wong, K. Y. Michael and Saad, David (2006). Equilibration through local information exchange in networks. Physical Review E, 74 (1), pp. 1-4.

Neirotti, Juan P. and Saad, David (2006). Efficient Bayesian inference for learning in the Ising linear perceptron and signal detection in CDMA. Physica A, 365 (1), pp. 203-210.

Migliorini, Gabriele and Saad, David (2006). Finite-connectivity spin-glass phase diagrams and low-density parity check codes. Physical Review E, 73 (2),

Wong, K. Y. Michael, Yeung, C. H. and Saad, David (2006). Distributed algorithms for global optimization on sparse networks of arbitrary bandwidths. Working Paper. Aston University, Birmingham.

Wong, K. Y. Michael, Saad, David and Gao, Zhuo (2005). Resource allocation in sparse graphs. IN: European Conference on Complex Systems, 2005. 2005-01-01 - 2005-01-01.

Neirotti, Juan. P. and Saad, David (2005). Bayesian inference in densely connected networks applied to CDMA. IN: European Conference on Complex Systems 2005. 2005-11-14 - 2005-11-18.

Neirotti, Juan P. and Saad, David (2005). Improved message passing for inference in densely connected systems. Europhysics Letters, 71 (5), pp. 866-872.

Kabashima, Yoshiyuki and Saad, David (2004). Statistical mechanics of low-density parity-check codes. Journal of Physics A: Mathematical and General, 37 (6), R1-R43.

Bounkong, Stephane, Toch, Boremi, Saad, David and Lowe, David (2003). ICA for watermarking digital images. Journal of Machine Learning Research, 4 (7-8), pp. 1471-1498.

Skantzos, N. S., Saad, D. and Kabashima, Y. (2003). Analysis of common attacks in public-key cryptosystems based on low-density parity-check codes. Physical Review E, 68 (5),

Skantzos, Nikos, van Mourik, Jort, Saad, David and Kabashima, Yoshiyuki (2003). Average and reliability error exponents in low-density parity-check codes. Journal of Physics A: Mathematical and General, 36 (43), pp. 11131-11141.

Toch, Boremi, Lowe, David and Saad, David (2003). Watermarking of audio signals using independent component analysis. IN: Proceedings of Third International Conference on Web Delivering of Music, 2003. IEEE.

Tanaka, Toshiyuki and Saad, David (2003). A statistical-mechanical analysis of coded CDMA with regular LDPC codes. IN: Proceedings of IEEE International Symposium on Information Theory, 2003. IEEE.

Bounkong, Stéphane, Saad, David and Lowe, David (2003). Quantisation effects and watermarking capacity. IN: Seventh International Symposium on Communications Theory and Applications. 2003-07-01 - 2003-07-01.

Bounkong, Stephane, Toch, Boremi, Saad, David and Lowe, David (2003). Structured codebooks for SCS watermarking. IN: Proceedings of the IASTED International Conference on Signal Processing, Pattern Reconition, and Applications. Hamza, M.H. (ed.) UNSPECIFIED.

Nakamura, Kazutaka, Kabashima, Yoshiyuki, Morelos-Zaragoza, R. and Saad, David (2003). Statistical mechanics of broadcast channels using low-density parity-check codes. Physical Review E, 67 ,

Skantzos, Nikos S., van Mourik, Jort and Saad, David (2003). Magnetization enumerator for real-valued symmetric channels in Gallager error-correcting codes. Physical Review E, 67 (3),

Saad, David (2003). The theory of on-line learning: a statistical physics approach. IN: 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. Schwaiger, Manfred and Opit, Otto (eds) Studies in Classification, Data Analysis, and Knowledge Organization . Springer.

van Mourik, Jort and Saad, David (2002). Random graph coloring:Statistical physics approach. Physical Review E, 66 (5),

Skantzos, Nikos S., van Mourik, Jort, Kabashima, Yoshiyuki and Saad, David (2002). Average error exponent in Gallager low-density parity-check codes. Working Paper. Aston University, Birmingham, UK.

van Mourik, Jort, Saad, David and Kabashima, Yoshiyuki (2002). Critical noise levels for low-density parity check decoding. Physical Review E, 66 (2),

Tanaka, Toshiyuki and Saad, David (2002). Typical performance of low-density parity-check codes over general symmetric channels. Working Paper. Aston University.

van Mourik, Jort, Saad, David and Kabashima, Yoshiyuki (2002). Critical noise levels for LDPC decoding. Working Paper. Aston University.

Bounkong, Stephane, Saad, David and Lowe, David (2002). Independent component analysis for domain independent watermarking. IN: Artificial Neural Networks — ICANN 2002. Dorronso, Jose R. (ed.) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2415 . ESP: Springer.

Kabashima, Yoshiyuki, Sazuka, Naoya, Nakamura, Kazutaka and Saad, David (2002). Evaluating zero error noise thresholds by the replica method for Gallager code ensembles. IN: Proceedings IEEE International Symposium on Information Theory,. IEEE International Symposium on Information Theory-Proceedings . IEEE.

Saad, David (2002). Final Report on EPSRC Research Grant GR/N00562. Project Report. Aston University.

Bounkong, Stephane, Saad, David and Lowe, David (2002). ICA based steganography. IN: Second IMA International Conference on Mathematics in Communications. 2002-01-01 - 2002-01-01.

Vicente, Renato, Saad, David and Kabashima, Yoshiyuki (2002). Low density parity check codes: a statistical physics perspective. IN: Advances in electronics and electron physics. Hawkes, Peter W. (ed.) Advances in Imaging and Electron Physics, 125 . Elsevier.

van Mourik, Jort, Saad, David and Kabashima, Yoshiyuki (2002). Magnetization enumerator for LDPC codes - a statistical physics approach. IN: Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on. IEEE.

Nakamura, Kazutaka, Kabashima, Yoshiyuki and Saad, David (2001). Statistical mechanics of low-density parity check error-correcting codes over Galois fields. Europhysics Letters, 56 (4), pp. 610-616.

Xiong, Yuan-Sheng and Saad, David (2001). Noise, regularizers, and unrealizable scenarios in online learning from restricted training sets. Physical Review E, 64 (1), pp. 1-18.

Kabashima, Yoshiyuki and Saad, David (2001). The TAP approach to intensive and extensive connectivity systems. IN: Advanced mean field methods: Theory and practice. Opper, Manfred and Saad, David (eds) Neural Information Processing . Cambridge, US: MIT.

Saad, David, Kabashima, Yoshiyuki and Vicente, Renato (2001). TAP for parity check error correcting codes. IN: Advanced mean field methods: Theory and practice. Opper, Manfred and Saad, David (eds) Neural Information Processing . MIT.

Saad, David, Kabashima, Yoshiyuki, Murayama, Tatsuto and Vicente, Renato (2001). Statistical physics of low density parity check error correcting codes. IN: Cryptography and Coding. Honary, B. (ed.) Lecture Notes in Computer Science, 2260 . Berlin / Heidelberg: Springer.

Kabashima, Yoshiyuki, Sazuka, Naoya, Nakamura, Kazutaka and Saad, David (2001). Tighter decoding reliability bound for Gallager's error-correcting code. Physical Review E, 64 (4), pp. 1-4.

Coolen, Anthony C.C. and Saad, David (2000). Dynamics of learning with restricted training sets. Physical Review E, 62 (4), pp. 5444-5487.

Vicente, Renato, Saad, David and Kabashima, Yoshiyuki (2000). Statistical physics of irregular low-density parity-check codes. Journal of Physics A: Mathematical and General, 33 (37), pp. 6527-6542.

Vicente, Renato, Saad, David and Kabashima, Yoshiyuki (2000). Error-correcting code on a cactus:A solvable model. Europhysics Letters, 51 (6), pp. 698-704.

Kanter, Ido and Saad, David (2000). Finite-size effects and error-free communication in Gaussian channels. Journal of Physics A: Mathematical and General, 33 (8), pp. 1675-1681.

Kabashima, Yoshiyuki, Murayama, Tatsuto and Saad, David (2000). Typical performance of gallager-type error-correcting codes. Physical Review Letters, 84 (6), pp. 1355-1358.

Saad, David (2000). Final Report on EPSRC Research Grant GR/L52093. Project Report. Aston University, Birmingham, UK.

Vicente, Renato, Saad, David and Kabashima, Yoshiyuki (1999). Finite connectivity systems as error-correcting codes. Physical Review E, 60 (5), pp. 5352-5366.

Scarpetta, Silvia and Saad, David (1999). On-line learning of unrealizable tasks. Physical Review E, 60 (5), pp. 5902-5911.

Kanter, Ido and Saad, David (1999). Error-correcting codes that nearly saturate Shannon's bound. Physical Review Letters, 83 (13), pp. 2660-2663.

Scarpetta, Silvia, Rattray, Magnus and Saad, David (1999). Natural gradient matrix momentum. IN: Ninth International Conference on Artificial Neural Networks, ICANN 99. Conference Publication, 1 . Edinburgh UK: IEEE.

Kabashima, Yoshiyuki and Saad, David (1999). The belief in TAP. IN: Advances in Neural Information Processing Systems 11. Kearns, Michael J.; Solla, Sara A. and Cohn, David (eds) Proceeding of the 1998 Conference, 11 . Cambridge MA: MIT.

Rattray, M. and Saad, D. (1999). Analysis of natural gradient descent for multilayer neural networks. Physical Review E, 59 (4), pp. 4523-4532.

Kabashima, Yoshiyuki and Saad, David (1999). Statistical mechanics of error-correcting codes. Europhysics Letters, 45 (1), pp. 97-103.

Rattray, Magnus and Saad, David (1999). Incorporating curvature information into on-line learning. IN: On-line learning in neural networks. Saad, David (ed.) Publications of the Newton Institute . Isaac Newton Institute, Cambridge: Cambridge University Press.

Saad, David (1999). Final report on EPSRC research grant GR/L19232. Project Report. Aston University, Aston University, Birmingham B4 7ET, UK.

Kabashima, Yoshiyuki and Saad, David (1998). Belief propagation vs. TAP for decoding corrupted messages. Europhysics Letters, 44 (5), pp. 668-674.

Rattray, Magnus and Saad, David (1998). Transients and asymptotics of natural gradient learning. IN: Proceedings of the 8th International Conference on Artificial Neural Networks. Niklasson, L.; Boden, M. and Ziemke, T. (eds) Springer.

Rattray, Magnus and Saad, David (1998). The dynamics of matrix momentum. IN: Proceedings of the 8th International Conference on Artificial Neural Networks. Niklasson, Lars F.; Boden, Mikael B. and Ziemke, Tom (eds) Springer.

Saad, David and Rattray, Magnus (1998). Globally optimal learning rates in multilayer neural networks. Philosophical Magazine Part B, 77 (5), pp. 1523-1530.

West, Ansgar H.L. and Saad, David (1998). The role of biases in on-line learning of two-layer networks. Physical Review E, 57 (3), pp. 3265-3291.

Saad, David and Rattray, Magnus (1998). Learning with regularizers in multilayer neural networks. Physical Review E, 57 (2), pp. 2170-2176.

Rattray, Magnus and Saad, David (1998). Globally optimal on-line learning rules. Advances in Neural Information Processing Systems, 10 , pp. 322-328.

Rattray, Magnus and Saad, David (1997). Globally optimal on-line learning rules for multi-layer neural networks. Journal of Physics A: Mathematical and General, 30 (22), L771-L776.

Freeman, Jason and Saad, David (1997). On-line learning in radial basis functions networks. Neural Computation, 9 (7), pp. 1601-1622.

Saad, David and Rattray, Magnus (1997). Globally optimal parameters for on-line learning in multilayer neural networks. Physical Review Letters, 79 (13), pp. 2578-2581.

West, Ansgar H.L. and Saad, David (1997). On-line learning with adaptive back-propagation in two-layer networks. Physical Review E, 56 (3), pp. 3426-3445.

West, Ansgar H. L. and Saad, David (1997). Threshold-induced phase transitions in perceptrons. Journal of Physics A: Mathematical and General, 30 (10), pp. 3471-3496.

West, Ansgar H. L., Saad, David and Nabney, Ian T. (1997). The learning dynamics of a universal approximator. Advances in Neural Information Processing Systems, 9 , pp. 288-294.

West, Ansgar H L and Saad, David (1997). Capacity of the upstart algorithm. IN: Mathematics of Neural Networks: Models, Algorithms and Applications. Ellacott, Stephen W.; Mason, John C. and Anderson, Iain J. (eds) Oxford: Kluwer.

Freeman, Jason and Saad, David (1997). Dynamics of on-line learning in radial basis function networks. Physical Review E, 56 (1), pp. 907-918.

Saad, David and Solla, Sara A. (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. Oxford: Kluwer.

Saad, David (1996). General gaussian priors for improved generalisation. Neural Networks, 9 (6), pp. 937-945.

Barber, David, Saad, David and Sollich, Peter (1996). Finite-size effects in on-line learning of multilayer neural networks. Europhysics Letters, 34 (2), pp. 151-156.

West, Ansgar H L and Saad, David (1996). Adaptive back-propagation in on-line learning of multilayer networks. IN: Proceedings of the neural information processing systems. Touretzky, David S; Mozer, Michael C and Hasselmo, Michael E. (eds) Boston: MIT.

Saad, David and Solla, Sara A. (1996). Dynamics of on-line gradient descent learning for multilayer neural networks. Advances in Neural Information Processing Systems, 8 , pp. 302-308.

Saad, David and Solla, Sara A. (1996). Learning with noise and regularizers in multilayer neural networks. Advances in Neural Information Processing Systems, 9 , pp. 260-266.