# Browse by Aston Author

Up a level |

**122**.

## 2018

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),

## 2017

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.

## 2016

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),

## 2015

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

## 2014

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),

## 2013

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.

## 2012

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.

## 2011

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.

## 2010

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*, 233
(1),

## 2009

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.

## 2008

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.

Kanter, Ido
(2008).
*Spread-spectrum transmission in which not all chips are transmitted.*
H04B1/707.

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.

## 2007

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.

## 2006

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.

## 2005

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.

## 2004

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.

## 2003

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, 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.

## 2002

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 replica method for Gallager code ensembles.
IN: *ISIT 2002*. 2002-01-01 - 2002-01-01.

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.

## 2001

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.

## 2000

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.

## 1999

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.

## 1998

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.

## 1997

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.

## 1996

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.

**Sun Nov 17 02:04:19 2019 GMT**.