Previous Research

Previous Research

Complex Networks

Deep extreme learning machines: Supervised autoencoding architecture for classification

Date Published: 2014

Type: Journal Article

Reference: M. D. McDonnell, O. N. Yaveroglu, B. A. Schmerl, N. Iannella and L. M. Ward. Motif-role-fingerprints: the building-blocks of motifs, clustering-coefficients and transitivities in directed networks. PLOS One, 9: Article Number e114503, 2014.


A model of the effects of authority on consensus formation in adaptive networks: Impact on network topology and robustness.

Date Published: 2013

Type: Journal Article

Reference: B. J. Prettejohn, M. J. Berryman and M. D. McDonnell. A model of the effects of authority on consensus formation in adaptive networks: Impact on network topology and robustness. Physica A 392:857–868, 2013.


Methods for generating complex networks with selected structural properties for simulations: A review and tutorial for neuroscientists.

Date Published: 2011

Type: Journal Article

Reference: Methods for generating complex networks with selected structural properties for simulations: A review and tutorial for neuroscientists.


Effect of network topology in opinion formation models.

Date Published: 2011

Type: Journal Article

Reference: B. J. Prettejohn and M. D. McDonnell. Effect of network topology in opinion formation models. In C. Guttman, F. Dignum, and M. Georgeff, editors, Proc. Collaborative Agents REsearch and development (CARE 2009/2010), LNAI 6066, Springer-Verlag, pages 114-124, 2011.


Stochastic Resonance

Optimal weighted suprathreshold stochastic resonance with multigroup saturating sensors. Physica A: Statistical Mechanics and its Applications

Date Published: 2016

Type: Journal Article

Reference: L. Xu, F. Duan, D. Abbott, and M. D. McDonnell. Optimal weighted suprathreshold stochastic resonance with multigroup saturating sensors. Physica A: Statistical Mechanics and its Applications, 457:348-355, 2016.


Decoding suprathreshold stochastic resonance with optimal weights

Date Published: 2015

Type: Journal Article

Reference: L. Xu, T. Vladusich, F. Duan, L. J. Gunn, D. Abbott and M. D. McDonnell. Decoding suprathreshold stochastic resonance with optimal weights Physics Letters A, 379: 2277-2283, 2015.


Optimizing threshold levels for information transmission in binary threshold networks: independent multiplicative noise on each threshold.

Date Published: 2015

Type: Journal Article

Reference: B. Zhou and M. D. McDonnell. Optimizing threshold levels for information transmission in binary threshold networks: independent multiplicative noise on each threshold. Physica A, 419:659-667, 2015.


M-ary suprathreshold stochastic resonance: Generalization and scaling beyond binary threshold nonlinearities.

Date Published: 2014

Type: Journal Article

Reference: M. D. McDonnell and X. Gao. M-ary suprathreshold stochastic resonance: Generalization and scaling beyond binary threshold nonlinearities. EPL (Europhysics Letters), 108: Article Number 60003, 2014.


Is electrical noise useful?

Date Published: 2011

Type: Journal Article

Reference: M. D. McDonnell. Is electrical noise useful? Proceedings of the IEEE, 99:242–246, 2011.


Communication of uncoded sensor measurements through nanoscale binary-node stochastic pooling networks.

Date Published: 2010

Type: Journal Article

Reference: M. D. McDonnell, N. G. Stocks and P. O. Amblard. Communication of uncoded sensor measurements through nanoscale binary-node stochastic pooling networks. Nano Communication Networks 1:209–223, 2010.


Bio-inspired communication: performance limits for information transmission and compression in stochastic pooling networks with binary quantizing nodes.

Date Published: 2010

Type: Journal Article

Reference: M. D. McDonnell, P. O. Amblard and N. G. Stocks. Bio-inspired communication: performance limits for information transmission and compression in stochastic pooling networks with binary quantizing nodes. Journal of Computational and Theoretical Nanoscience 7:876–883, 2010.


Stochastic pooling networks.

Date Published: 2009

Type: Journal Article

Reference: M. D. McDonnell, P. O. Amblard and N. G. Stocks. Stochastic pooling networks. Journal of Statistical Mechanics: Theory and Experiment Article Number P01012, 2009.


What is stochastic resonance? Definitions, misconceptions, debates, and its relevance to biology.

Date Published: 2009

Type: Journal Article

Reference: M. D. McDonnell and D. Abbott. What is stochastic resonance? Definitions, misconceptions, debates, and its relevance to biology. PLoS Computational Biology 5: Article Number e1000348, 2009.


Signal acquisition via polarization modulation in single photon sources

Date Published: 2009

Type: Journal Article

Reference: M. D. McDonnell and A. P. Flitney. Signal acquisition via polarization modulation in single photon sources. Physical Review E 80: Article Number 060102(R), 2009 [Selected for Rapid Publication].


Supratheshold Stochastic Resonance.

Date Published: 2009

Type: Journal Article

Reference: M. D. McDonnell and N. G. Stocks. Supratheshold Stochastic Resonance. Scholarpedia 4: Article Number 6508, 2009.


Optimal stimulus and noise distributions for information transmission via suprathreshold stochastic resonance.

Date Published: 2007

Type: Journal Article

Reference: M. D. McDonnell, N. G. Stocks, and D. Abbott. Optimal stimulus and noise distributions for information transmission via suprathreshold stochastic resonance. Physical Review E 75: Article Number 061105, 2007.


Optimal information transmission in nonlinear arrays through suprathreshold stochastic resonance

Date Published: 2006

Type: Journal Article

Reference: M. D. McDonnell, N. G. Stocks, C. E. M. Pearce, and D. Abbott. Optimal information transmission in nonlinear arrays through suprathreshold stochastic resonance. Physics Letters A 352:183–189, 2006.


Quantization in the presence of large amplitude threshold noise

Date Published: 2005

Type: Journal Article

Reference: M. D. McDonnell, N. G. Stocks, C. E. M. Pearce, and D. Abbott. Quantization in the presence of large amplitude threshold noise. Fluctuation and Noise Letters, 5:L457–L468, 2005.


Stochastic resonance and the data processing inequality

Date Published: 2003

Type: Journal Article

Reference: M. D. McDonnell, N. G. Stocks, C. E. M. Pearce, and D. Abbott. Stochastic resonance and the data processing inequality. Electronics Letters, 39:1287–1288, 2003.


A characterization of suprathreshold stochastic resonance in an array of comparators by correlation coefficient.

Date Published: 2002

Type: Journal Article

Reference: M. D. McDonnell, D. Abbott, and C. E. M. Pearce. A characterization of suprathreshold stochastic resonance in an array of comparators by correlation coefficient. Fluctuation and Noise Letters, 2:L205–L220, 2002.


An analysis of noise enhanced information transmission in an array of comparators.

Date Published: 2002

Type: Journal Article

Reference: M. D. McDonnell, D. Abbott, and C. E. M. Pearce. An analysis of noise enhanced information transmission in an array of comparators. Microelectronics Journal, 33:1079–1089, 2002.


Optimization of Randomized Algorithms and Noisy Nonlinear Systems

Too good to be true: when overwhelming evidence fails to convince

Date Published: 2016

Type: Journal Article

Reference: L. J. Gunn, F. Chapeau-Blondeau, M. D. McDonnell, B R. Davis, A. Allison and D. Abbott. Too good to be true: when overwhelming evidence fails to convince. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472: Article no. 20150748, 2016.


Optimal sensor selection for noisy binary detection in stochastic pooling networks

Date Published: 2013

Type: Journal Article

Reference: M. D. McDonnell, F. Li, P.-O. Amblard and A. J. Grant. Optimal sensor selection for noisy binary detection in stochastic pooling networks. Physical Review E, 88: Article Number 022118, 2013.


Gain from the two-envelope problem via information asymmetry: On the suboptimality of randomized switching

Date Published: 2011

Type: Journal Article

Reference: M. D. McDonnell, A. J. Grant, I. Land, B. N. Vellambi, D. Abbott and K. Lever. Gain from the two-envelope problem via information asymmetry: On the suboptimality of randomized switching. Proceedings of the Royal Society A 467:2825–2851, 2011.


Randomized switching in the two-envelope problem

Date Published: 2009

Type: Journal Article

Reference: M. D. McDonnell and D. Abbott. Randomized switching in the two-envelope problem. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences 465:3309–3322, 2009.


Information capacity of stochastic pooling networks is achieved by discrete inputs

Date Published: 2009

Type: Journal Article

Reference: M. D. McDonnell. Information capacity of stochastic pooling networks is achieved by discrete inputs. Physical Review E 79: Article Number 041107, 2009.


Mathematical methods for spatially cohesive reserve design

Date Published: 2002

Type: Journal Article

Reference: M. D. McDonnell, H. P. Possingham, I. R. Ball, and E. A. Cousins. Mathematical methods for spatially cohesive reserve design. Environmental Modeling and Assessment, 7:107–114, 2002.