2021 |
Lange-Hegermann, M; Robertz, D; Seiler, W M; Seiß, M Singularities of Algebraic Differential Equations Journal Article Advances in Applied Mathematics, 131 , pp. Paper No. 102266, 2021. @article{LangeHegermannRobertzSeilerSeiss, title = {Singularities of Algebraic Differential Equations}, author = {Lange-Hegermann, M. and Robertz, D. and Seiler, W. M. and Seiß, M.}, year = {2021}, date = {2021-08-26}, journal = {Advances in Applied Mathematics}, volume = {131}, pages = {Paper No. 102266}, abstract = {There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose an extension of the key concepts to arbitrary systems of ordinary or partial differential equations. Furthermore, we show how a combination of this geometric theory with (differential) algebraic tools allows us to make parts of the theory algorithmic. Our three main results are firstly a proof that even in the case of partial differential equations regular points are generic. Secondly, we present an algorithm for the effective detection of all singularities at a given order or, more precisely, for the determination of a regularity decomposition. Finally, we give a rigorous definition of a regular differential equation, a notoriously difficult notion, ubiquitous in the geometric theory of differential equations, and show that our algorithm extracts from each prime component a regular differential equation. Our main tools are on the one hand the algebraic resp.\ differential Thomas decomposition and on the other hand the Vessiot theory of differential equations.}, keywords = {}, pubstate = {published}, tppubtype = {article} } There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose an extension of the key concepts to arbitrary systems of ordinary or partial differential equations. Furthermore, we show how a combination of this geometric theory with (differential) algebraic tools allows us to make parts of the theory algorithmic. Our three main results are firstly a proof that even in the case of partial differential equations regular points are generic. Secondly, we present an algorithm for the effective detection of all singularities at a given order or, more precisely, for the determination of a regularity decomposition. Finally, we give a rigorous definition of a regular differential equation, a notoriously difficult notion, ubiquitous in the geometric theory of differential equations, and show that our algorithm extracts from each prime component a regular differential equation. Our main tools are on the one hand the algebraic resp. differential Thomas decomposition and on the other hand the Vessiot theory of differential equations. |
Chudoba, R; Niemeyer, A; Spartali, H; Robertz, D; Plesken, W Description of the origami waterbomb cell kinematics as a basis for the design of thin-walled oricrete shells Inproceedings Behnejad, S A; Parke, G A R; Samavati, O A (Ed.): IASS2020/21-SURREY7: Annual Symposium of the International Association for Shell and Spatial Structures (IASS2020/21) and the 7th Surrey International Conference on Spatial Structure, 2021. @inproceedings{ChudobaNiemeyerSpartaliRobertzPlesken1, title = {Description of the origami waterbomb cell kinematics as a basis for the design of thin-walled oricrete shells}, author = {Chudoba, R. and Niemeyer, A. and Spartali, H. and Robertz, D. and Plesken, W.}, editor = {Behnejad, S. A. and Parke, G. A. R. and Samavati, O. A.}, year = {2021}, date = {2021-08-23}, booktitle = {IASS2020/21-SURREY7: Annual Symposium of the International Association for Shell and Spatial Structures (IASS2020/21) and the 7th Surrey International Conference on Spatial Structure}, keywords = {}, pubstate = {published}, tppubtype = {inproceedings} } |
Hashemi, A; Izgin, T; Robertz, D; Seiler, W M An Involutive GVW Algorithm and the Computation of Pommaret Bases Journal Article Mathematics in Computer Science, 15 (3), pp. 419-452, 2021. @article{HashemiIzginRobertzSeiler2, title = {An Involutive GVW Algorithm and the Computation of Pommaret Bases}, author = {Hashemi, A. and Izgin, T. and Robertz, D. and Seiler, W. M.}, year = {2021}, date = {2021-06-07}, journal = {Mathematics in Computer Science}, volume = {15}, number = {3}, pages = {419-452}, abstract = {The GVW algorithm computes simultaneously Gröbner bases of a given ideal and of the syzygy module of the given generating set. In this work, we discuss an extension of it to involutive bases. Pommaret bases play here a special role in several respects. We distinguish between a fully involutive GVW algorithm which determines involutive bases for both the given ideal and the syzygy module and a semi-involutive version which computes for the syzygy module only an ordinary Gröbner basis. A prototype implementation of the developed algorithms in Maple is described.}, keywords = {}, pubstate = {published}, tppubtype = {article} } The GVW algorithm computes simultaneously Gröbner bases of a given ideal and of the syzygy module of the given generating set. In this work, we discuss an extension of it to involutive bases. Pommaret bases play here a special role in several respects. We distinguish between a fully involutive GVW algorithm which determines involutive bases for both the given ideal and the syzygy module and a semi-involutive version which computes for the syzygy module only an ordinary Gröbner basis. A prototype implementation of the developed algorithms in Maple is described. |
Andrade, D; Stuhlmeier, R; Stiassnie, M Freak waves caused by reflection Journal Article Coastal Engineering, 170 , 2021. @article{Andrade2021, title = {Freak waves caused by reflection}, author = {D Andrade and R Stuhlmeier and M Stiassnie}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115234924&doi=10.1016%2fj.coastaleng.2021.104004&partnerID=40&md5=3668a1ba379b5d5e003dde3522ca1a4c}, doi = {10.1016/j.coastaleng.2021.104004}, year = {2021}, date = {2021-01-01}, journal = {Coastal Engineering}, volume = {170}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Jones, B G; Streeter, A J; Baker, A; Moyeed, R; Creanor, S Systematic Reviews, 10 (1), 2021. @article{Jones2021, title = {Bayesian statistics in the design and analysis of cluster randomised controlled trials and their reporting quality: a methodological systematic review}, author = {B G Jones and A J Streeter and A Baker and R Moyeed and S Creanor}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103745899&doi=10.1186%2fs13643-021-01637-1&partnerID=40&md5=d6b92f799a4790f1c15bc8ffa6017dda}, doi = {10.1186/s13643-021-01637-1}, year = {2021}, date = {2021-01-01}, journal = {Systematic Reviews}, volume = {10}, number = {1}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Abramowicz, H; Acosta, U; Altarelli, M; Aßmann, R; Bai, Z; Behnke, T; Benhammou, Y; Blackburn, T; Boogert, S; Borysov, O; Borysova, M; Brinkmann, R; Bruschi, M; Burkart, F; Büßer, K; Cavanagh, N; Davidi, O; Decking, W; Dosselli, U; Elkina, N; Fedotov, A; Firlej, M; Fiutowski, T; Fleck, K; Gostkin, M; Grojean, C; Hallford, J; Harsh, H; Hartin, A; Heinemann, B; Heinzl, T; Helary, L; Hoffmann, M; Huang, S; Huang, X; Idzik, M; Ilderton, A; Jacobs, R; Kämpfer, B; King, B; Lahno, H; Levanon, A; Levy, A; Levy, I; List, J; Lohmann, W; Ma, T; Macleod, A J; Malka, V; Meloni, F; Mironov, A; Morandin, M; Moron, J; Negodin, E; Perez, G; Pomerantz, I; Pöschl, R; Prasad, R; Quéré, F; Ringwald, A; Rödel, C; Rykovanov, S; Salgado, F; Santra, A; Sarri, G; Sävert, A; Sbrizzi, A; Schmitt, S; Schramm, U; Schuwalow, S; Seipt, D; Shaimerdenova, L; Shchedrolosiev, M; Skakunov, M; Soreq, Y; Streeter, M; Swientek, K; Hod, N T; Tang, S; Teter, T; Thoden, D; Titov, A I; Tolbanov, O; Torgrimsson, G; Tyazhev, A; Wing, M; Zanetti, M; Zarubin, A; Zeil, K; Zepf, M; Zhemchukov, A Conceptual design report for the LUXE experiment Journal Article European Physical Journal: Special Topics, 230 (11), pp. 2445-2560, 2021. @article{Abramowicz20212445, title = {Conceptual design report for the LUXE experiment}, author = {H Abramowicz and U Acosta and M Altarelli and R Aßmann and Z Bai and T Behnke and Y Benhammou and T Blackburn and S Boogert and O Borysov and M Borysova and R Brinkmann and M Bruschi and F Burkart and K Büßer and N Cavanagh and O Davidi and W Decking and U Dosselli and N Elkina and A Fedotov and M Firlej and T Fiutowski and K Fleck and M Gostkin and C Grojean and J Hallford and H Harsh and A Hartin and B Heinemann and T Heinzl and L Helary and M Hoffmann and S Huang and X Huang and M Idzik and A Ilderton and R Jacobs and B Kämpfer and B King and H Lahno and A Levanon and A Levy and I Levy and J List and W Lohmann and T Ma and A J Macleod and V Malka and F Meloni and A Mironov and M Morandin and J Moron and E Negodin and G Perez and I Pomerantz and R Pöschl and R Prasad and F Quéré and A Ringwald and C Rödel and S Rykovanov and F Salgado and A Santra and G Sarri and A Sävert and A Sbrizzi and S Schmitt and U Schramm and S Schuwalow and D Seipt and L Shaimerdenova and M Shchedrolosiev and M Skakunov and Y Soreq and M Streeter and K Swientek and N T Hod and S Tang and T Teter and D Thoden and A I Titov and O Tolbanov and G Torgrimsson and A Tyazhev and M Wing and M Zanetti and A Zarubin and K Zeil and M Zepf and A Zhemchukov}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114439270&doi=10.1140%2fepjs%2fs11734-021-00249-z&partnerID=40&md5=db7caf5241db2d4bed6ab57b249e47f5}, doi = {10.1140/epjs/s11734-021-00249-z}, year = {2021}, date = {2021-01-01}, journal = {European Physical Journal: Special Topics}, volume = {230}, number = {11}, pages = {2445-2560}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Lange-Hegermann, M; Robertz, D; Seiler, W M; Seiß, M Singularities of algebraic differential equations Journal Article Advances in Applied Mathematics, 131 , 2021. @article{Lange-Hegermann2021, title = {Singularities of algebraic differential equations}, author = {M Lange-Hegermann and D Robertz and W M Seiler and M Seiß}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85113604798&doi=10.1016%2fj.aam.2021.102266&partnerID=40&md5=14ede15648e01d820c8838bfd7b2befc}, doi = {10.1016/j.aam.2021.102266}, year = {2021}, date = {2021-01-01}, journal = {Advances in Applied Mathematics}, volume = {131}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Hashemi, A; Izgin, T; Robertz, D; Seiler, W M An Involutive GVW Algorithm and the Computation of Pommaret Bases Journal Article Mathematics in Computer Science, 15 (3), pp. 419-452, 2021. @article{Hashemi2021419, title = {An Involutive GVW Algorithm and the Computation of Pommaret Bases}, author = {A Hashemi and T Izgin and D Robertz and W M Seiler}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107552206&doi=10.1007%2fs11786-021-00512-5&partnerID=40&md5=1820bab4c4d1c41034f6b1c3c12c907e}, doi = {10.1007/s11786-021-00512-5}, year = {2021}, date = {2021-01-01}, journal = {Mathematics in Computer Science}, volume = {15}, number = {3}, pages = {419-452}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Heinzl, T; Ilderton, A; King, B Classical Resummation and Breakdown of Strong-Field QED Journal Article Physical Review Letters, 127 (6), 2021. @article{Heinzl2021, title = {Classical Resummation and Breakdown of Strong-Field QED}, author = {T Heinzl and A Ilderton and B King}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112394500&doi=10.1103%2fPhysRevLett.127.061601&partnerID=40&md5=6a9df903962b7521999838ded54aec88}, doi = {10.1103/PhysRevLett.127.061601}, year = {2021}, date = {2021-01-01}, journal = {Physical Review Letters}, volume = {127}, number = {6}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Blackburn, T G; Macleod, A J; Ilderton, A; King, B; Tang, S; Marklund, M Self-absorption of synchrotron radiation in a laser-irradiated plasma Journal Article Physics of Plasmas, 28 (5), 2021. @article{Blackburn2021, title = {Self-absorption of synchrotron radiation in a laser-irradiated plasma}, author = {T G Blackburn and A J Macleod and A Ilderton and B King and S Tang and M Marklund}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105706640&doi=10.1063%2f5.0044766&partnerID=40&md5=13e24dd8e68837962ab29b8c62e1beff}, doi = {10.1063/5.0044766}, year = {2021}, date = {2021-01-01}, journal = {Physics of Plasmas}, volume = {28}, number = {5}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Ekman, R; Heinzl, T; Ilderton, A Exact solutions in radiation reaction and the radiation-free direction Journal Article New Journal of Physics, 23 (5), 2021. @article{Ekman2021, title = {Exact solutions in radiation reaction and the radiation-free direction}, author = {R Ekman and T Heinzl and A Ilderton}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107293059&doi=10.1088%2f1367-2630%2fabfab2&partnerID=40&md5=ed1b196bcbbf9359e4eadaee079aa4ad}, doi = {10.1088/1367-2630/abfab2}, year = {2021}, date = {2021-01-01}, journal = {New Journal of Physics}, volume = {23}, number = {5}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Aziz, W; Christopher, C; Llibre, J; Pantazi, C Three-Dimensional Lotka–Volterra Systems with 3:−1:2-Resonance Journal Article Mediterranean Journal of Mathematics, 18 (4), 2021. @article{Aziz2021, title = {Three-Dimensional Lotka–Volterra Systems with 3:−1:2-Resonance}, author = {W Aziz and C Christopher and J Llibre and C Pantazi}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107652695&doi=10.1007%2fs00009-021-01809-2&partnerID=40&md5=295239091985d2ecb20e0b0c10c0b2e5}, doi = {10.1007/s00009-021-01809-2}, year = {2021}, date = {2021-01-01}, journal = {Mediterranean Journal of Mathematics}, volume = {18}, number = {4}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Sethi, J; Suhail, A; Safarzadeh, M; Sattar, A; Wei, Y; Pan, G NH2 linker for femtomolar label-free detection with reduced graphene oxide screen-printed electrodes Journal Article Carbon, 179 , pp. 514-522, 2021. @article{Sethi2021514, title = {NH2 linker for femtomolar label-free detection with reduced graphene oxide screen-printed electrodes}, author = {J Sethi and A Suhail and M Safarzadeh and A Sattar and Y Wei and G Pan}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107427414&doi=10.1016%2fj.carbon.2021.04.074&partnerID=40&md5=4d251a1c5b3fcae45423f7c51cdb599d}, doi = {10.1016/j.carbon.2021.04.074}, year = {2021}, date = {2021-01-01}, journal = {Carbon}, volume = {179}, pages = {514-522}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Christopher, C; Giné, J Analytic integrability of certain resonant saddle Journal Article Chaos, Solitons and Fractals, 146 , 2021. @article{Christopher2021, title = {Analytic integrability of certain resonant saddle}, author = {C Christopher and J Giné}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102384817&doi=10.1016%2fj.chaos.2021.110821&partnerID=40&md5=c1de2982f819234922fb222ea0c7ad04}, doi = {10.1016/j.chaos.2021.110821}, year = {2021}, date = {2021-01-01}, journal = {Chaos, Solitons and Fractals}, volume = {146}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Cossu, G; Lancaster, D; Lucini, B; Pellegrini, R; Rago, A Ergodic sampling of the topological charge using the density of states Journal Article European Physical Journal C, 81 (4), 2021. @article{Cossu2021, title = {Ergodic sampling of the topological charge using the density of states}, author = {G Cossu and D Lancaster and B Lucini and R Pellegrini and A Rago}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105063348&doi=10.1140%2fepjc%2fs10052-021-09161-1&partnerID=40&md5=8d12c91c4439f040eab85036aeab10fd}, doi = {10.1140/epjc/s10052-021-09161-1}, year = {2021}, date = {2021-01-01}, journal = {European Physical Journal C}, volume = {81}, number = {4}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Drach, V; Janowski, T; Pica, C; Prelovsek, S Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice Journal Article Journal of High Energy Physics, 2021 (4), 2021. @article{Drach2021, title = {Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice}, author = {V Drach and T Janowski and C Pica and S Prelovsek}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104308327&doi=10.1007%2fJHEP04%282021%29117&partnerID=40&md5=fdc3baf44654a71e24721dc5751ea73f}, doi = {10.1007/JHEP04(2021)117}, year = {2021}, date = {2021-01-01}, journal = {Journal of High Energy Physics}, volume = {2021}, number = {4}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
King, B Interference effects in nonlinear Compton scattering due to pulse envelope Journal Article Physical Review D, 103 (3), 2021. @article{King2021, title = {Interference effects in nonlinear Compton scattering due to pulse envelope}, author = {B King}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102061164&doi=10.1103%2fPhysRevD.103.036018&partnerID=40&md5=c6a75e54fc930e78b15afc74a5fcf662}, doi = {10.1103/PhysRevD.103.036018}, year = {2021}, date = {2021-01-01}, journal = {Physical Review D}, volume = {103}, number = {3}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Lavelle, M; McMullan, D Simplest description of charge propagation in a strong background Journal Article Physical Review D, 103 (3), 2021. @article{Lavelle2021, title = {Simplest description of charge propagation in a strong background}, author = {M Lavelle and D McMullan}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102049790&doi=10.1103%2fPhysRevD.103.036015&partnerID=40&md5=06112a2e035c455ce7ea9e72e84eebe1}, doi = {10.1103/PhysRevD.103.036015}, year = {2021}, date = {2021-01-01}, journal = {Physical Review D}, volume = {103}, number = {3}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Edwards, J P; Ilderton, A Resummation of background-collinear corrections in strong field QED Journal Article Physical Review D, 103 (1), 2021. @article{Edwards2021, title = {Resummation of background-collinear corrections in strong field QED}, author = {J P Edwards and A Ilderton}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099299939&doi=10.1103%2fPhysRevD.103.016004&partnerID=40&md5=58a2dd6d1b7abc1e31c77a83192c6193}, doi = {10.1103/PhysRevD.103.016004}, year = {2021}, date = {2021-01-01}, journal = {Physical Review D}, volume = {103}, number = {1}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Sorrell, L; Wei, Y; Wojtyś, M; Rowe, P Estimating the correlation between semi-competing risk survival endpoints Journal Article Biometrical Journal, 2021. @article{Sorrell2021, title = {Estimating the correlation between semi-competing risk survival endpoints}, author = {L Sorrell and Y Wei and M Wojtyś and P Rowe}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85116455985&doi=10.1002%2fbimj.202000226&partnerID=40&md5=f35742bdbef195bd7c34209d4f837466}, doi = {10.1002/bimj.202000226}, year = {2021}, date = {2021-01-01}, journal = {Biometrical Journal}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Zhu, G; Hughes, J; Zheng, S; Greaves, D A sph model with open relaxation boundary for wave generation and absorption Conference 2021. @conference{Zhu20211612, title = {A sph model with open relaxation boundary for wave generation and absorption}, author = {G Zhu and J Hughes and S Zheng and D Greaves}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115233776&partnerID=40&md5=4644542be103b1c519ecdc119879c7c1}, year = {2021}, date = {2021-01-01}, journal = {Proceedings of the International Offshore and Polar Engineering Conference}, pages = {1612-1617}, keywords = {}, pubstate = {published}, tppubtype = {conference} } |
Stuhlmeier, R; Stiassnie, M Deterministic wave forecasting with the Zakharov equation Journal Article Journal of Fluid Mechanics, 913 , 2021. @article{Stuhlmeier2021, title = {Deterministic wave forecasting with the Zakharov equation}, author = {R Stuhlmeier and M Stiassnie}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102017511&doi=10.1017%2fjfm.2021.50&partnerID=40&md5=12f1c5362ed101174ae916d57f521580}, doi = {10.1017/jfm.2021.50}, year = {2021}, date = {2021-01-01}, journal = {Journal of Fluid Mechanics}, volume = {913}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Hernandez-Vaquero, D; Vigil-Escalera, C; Pérez-Méndez, I; Gutiérrez, A; Avanzas, P; Wei, Y; Diaz, R; Silva, J; Moris, C; Pascual, I Survival After Thoracoscopic Surgery or Open Lobectomy: Systematic Review and Meta-Analysis Journal Article Annals of Thoracic Surgery, 111 (1), pp. 302-313, 2021. @article{Hernandez-Vaquero2021302, title = {Survival After Thoracoscopic Surgery or Open Lobectomy: Systematic Review and Meta-Analysis}, author = {D Hernandez-Vaquero and C Vigil-Escalera and I Pérez-Méndez and A Gutiérrez and P Avanzas and Y Wei and R Diaz and J Silva and C Moris and I Pascual}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097471445&doi=10.1016%2fj.athoracsur.2020.05.144&partnerID=40&md5=67362ff0007869fd4dce9d072ef6c2c5}, doi = {10.1016/j.athoracsur.2020.05.144}, year = {2021}, date = {2021-01-01}, journal = {Annals of Thoracic Surgery}, volume = {111}, number = {1}, pages = {302-313}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Graham, D I; Craven, M J An exact algorithm for small-cardinality constrained portfolio optimisation Journal Article Journal of the Operational Research Society, 72 (6), pp. 1415-1431, 2021. @article{Graham20211415, title = {An exact algorithm for small-cardinality constrained portfolio optimisation}, author = {D I Graham and M J Craven}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079710322&doi=10.1080%2f01605682.2020.1718019&partnerID=40&md5=97a010bbc4ec050e48319c744cb88a1a}, doi = {10.1080/01605682.2020.1718019}, year = {2021}, date = {2021-01-01}, journal = {Journal of the Operational Research Society}, volume = {72}, number = {6}, pages = {1415-1431}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
2020 |
Walter, Matthew J; Walker, David J; Craven, Matthew J Visualising Evolution History in Multi- and Many-Objective Optimisation Conference Forthcoming Proceedings of Parallel Problem Solving from Nature, Lecture Notes in Computer Science Springer, Forthcoming. @conference{walterwalkercraven2020, title = {Visualising Evolution History in Multi- and Many-Objective Optimisation}, author = {Matthew J. Walter and David J. Walker and Matthew J. Craven}, year = {2020}, date = {2020-09-01}, booktitle = {Proceedings of Parallel Problem Solving from Nature}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, keywords = {}, pubstate = {forthcoming}, tppubtype = {conference} } |
Dyke, Phil; Searl, John; Craven, Matthew J; Wei, Yinghui Modern Engineering Mathematics Book Pearson, 2020. @book{dykeetal2020, title = {Modern Engineering Mathematics}, author = {Phil Dyke and John Searl and Matthew J. Craven and Yinghui Wei}, year = {2020}, date = {2020-02-21}, publisher = {Pearson}, keywords = {}, pubstate = {published}, tppubtype = {book} } |
Graham, David I; Craven, Matthew J An Exact Algorithm for Small-Cardinality Constrained Portfolio Optimisation Journal Article Journal of the Operational Research Society, 2020. @article{digmjc2, title = {An Exact Algorithm for Small-Cardinality Constrained Portfolio Optimisation}, author = {David I. Graham and Matthew J. Craven}, doi = {10.1080/01605682.2020.1718019}, year = {2020}, date = {2020-02-13}, journal = {Journal of the Operational Research Society}, abstract = {Real-world portfolio optimisation problems are often NP-hard, their efficient frontiers (EFs) in practice being calculated by randomised algorithms. In this work, a deterministic method of decomposition of EFs into a short sequence of sub-EFs is presented. These sub-EFs may be calculated by a quadratic programming algorithm, the collection of such sub-EFs then being subjected to a sifting process to produce the full EF. Full EFs of portfolio optimisation problems with small cardinality constraints are computed to a high resolution, providing a fast and practical alternative to randomised algorithms. The method may also be used with other practical classes of portfolio problems, complete with differing measures of risk. Finally, it is shown that the identified sub-EFs correspond closely to local optima of the objective function of a case study evolutionary algorithm.}, keywords = {}, pubstate = {published}, tppubtype = {article} } Real-world portfolio optimisation problems are often NP-hard, their efficient frontiers (EFs) in practice being calculated by randomised algorithms. In this work, a deterministic method of decomposition of EFs into a short sequence of sub-EFs is presented. These sub-EFs may be calculated by a quadratic programming algorithm, the collection of such sub-EFs then being subjected to a sifting process to produce the full EF. Full EFs of portfolio optimisation problems with small cardinality constraints are computed to a high resolution, providing a fast and practical alternative to randomised algorithms. The method may also be used with other practical classes of portfolio problems, complete with differing measures of risk. Finally, it is shown that the identified sub-EFs correspond closely to local optima of the objective function of a case study evolutionary algorithm. |
Brakhage, K H; Niemeyer, A C; Plesken, W; Robertz, D; Strzelczyk, A The icosahedra of edge length 1 Journal Article Journal of Algebra, 545 , pp. 4–26, 2020. @article{BrakhageNiemeyerPleskenRobertzStrzelczyk, title = {The icosahedra of edge length 1}, author = {Brakhage, K. H. and Niemeyer, A. C. and Plesken, W. and Robertz, D. and Strzelczyk, A.}, doi = {doi:10.1016/j.jalgebra.2019.04.028}, year = {2020}, date = {2020-01-01}, journal = {Journal of Algebra}, volume = {545}, pages = {4--26}, abstract = {Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular (planar) triangles, the 30 edges of length 1, and the 12 different vertices together with the incidence structure, we investigate variations of the regular icosahedron admitting self-intersections of faces. We determine all rigid equivalence classes of these icosahedra with non-trivial automorphism group and find one curve of flexible icosahedra. Visualisations and explicit data for this paper are available under http://algebra.data.rwth-aachen. de/Icosahedra/visualplusdata.html.}, keywords = {}, pubstate = {published}, tppubtype = {article} } Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular (planar) triangles, the 30 edges of length 1, and the 12 different vertices together with the incidence structure, we investigate variations of the regular icosahedron admitting self-intersections of faces. We determine all rigid equivalence classes of these icosahedra with non-trivial automorphism group and find one curve of flexible icosahedra. Visualisations and explicit data for this paper are available under http://algebra.data.rwth-aachen. de/Icosahedra/visualplusdata.html. |
Francis, A; Fritzsch, P; Lüscher, M; Rago, A Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness Journal Article Computer Physics Communications, 255 , 2020. @article{Francis2020, title = {Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness}, author = {A Francis and P Fritzsch and M Lüscher and A Rago}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85085660600&doi=10.1016%2fj.cpc.2020.107355&partnerID=40&md5=4d93213e69a26ad1dda41698cee49896}, doi = {10.1016/j.cpc.2020.107355}, year = {2020}, date = {2020-01-01}, journal = {Computer Physics Communications}, volume = {255}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Stander, M; Stander, J A simple method for correcting for the Will Rogers phenomenon with biometrical applications Journal Article Biometrical Journal, 62 (4), pp. 1080-1089, 2020. @article{Stander20201080, title = {A simple method for correcting for the Will Rogers phenomenon with biometrical applications}, author = {M Stander and J Stander}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078787776&doi=10.1002%2fbimj.201900199&partnerID=40&md5=a212ca3ad49ace7ad8308055daa3808b}, doi = {10.1002/bimj.201900199}, year = {2020}, date = {2020-01-01}, journal = {Biometrical Journal}, volume = {62}, number = {4}, pages = {1080-1089}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Ilderton, A; King, B; Tang, S Toward the observation of interference effects in nonlinear Compton scattering Journal Article Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 804 , 2020. @article{Ilderton2020, title = {Toward the observation of interference effects in nonlinear Compton scattering}, author = {A Ilderton and B King and S Tang}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082826912&doi=10.1016%2fj.physletb.2020.135410&partnerID=40&md5=82ebc019d80d3a497502a25618a75356}, doi = {10.1016/j.physletb.2020.135410}, year = {2020}, date = {2020-01-01}, journal = {Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics}, volume = {804}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
King, B Uniform locally constant field approximation for photon-seeded pair production Journal Article Physical Review A, 101 (4), 2020. @article{King2020, title = {Uniform locally constant field approximation for photon-seeded pair production}, author = {B King}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85085165691&doi=10.1103%2fPhysRevA.101.042508&partnerID=40&md5=7c07fe97ff384b9a41668812840b6bfa}, doi = {10.1103/PhysRevA.101.042508}, year = {2020}, date = {2020-01-01}, journal = {Physical Review A}, volume = {101}, number = {4}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Ilderton, A; MacLeod, A J The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red Journal Article Journal of High Energy Physics, 2020 (4), 2020. @article{Ilderton2020b, title = {The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red}, author = {A Ilderton and A J MacLeod}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083438245&doi=10.1007%2fJHEP04%282020%29078&partnerID=40&md5=7b5a32d097538ca6561787026bbe74ac}, doi = {10.1007/JHEP04(2020)078}, year = {2020}, date = {2020-01-01}, journal = {Journal of High Energy Physics}, volume = {2020}, number = {4}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Kelly, J; Moyeed, R; Carroll, C; Luo, S; Li, X Genetic networks in Parkinson's and Alzheimer's disease Journal Article Aging, 12 (6), pp. 5221-5243, 2020. @article{Kelly20205221, title = {Genetic networks in Parkinson's and Alzheimer's disease}, author = {J Kelly and R Moyeed and C Carroll and S Luo and X Li}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083042266&doi=10.18632%2faging.102943&partnerID=40&md5=b1cfda32f2bb96eeb1d663ecd8d5596a}, doi = {10.18632/aging.102943}, year = {2020}, date = {2020-01-01}, journal = {Aging}, volume = {12}, number = {6}, pages = {5221-5243}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Walker, D J; Craven, M J Identifying good algorithm parameters in evolutionary multi- and many-objective optimisation: A visualisation approach Journal Article Applied Soft Computing Journal, 88 , 2020. @article{Walker2020, title = {Identifying good algorithm parameters in evolutionary multi- and many-objective optimisation: A visualisation approach}, author = {D J Walker and M J Craven}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076567782&doi=10.1016%2fj.asoc.2019.105902&partnerID=40&md5=17d2b585aa127d82e3fc8258cf6282fa}, doi = {10.1016/j.asoc.2019.105902}, year = {2020}, date = {2020-01-01}, journal = {Applied Soft Computing Journal}, volume = {88}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Cai, Y; Stander, J The Threshold GARCH Model: Estimation and Density Forecasting for Financial Returns Journal Article Journal of Financial Econometrics, 18 (2), pp. 395-424, 2020. @article{Cai2020395, title = {The Threshold GARCH Model: Estimation and Density Forecasting for Financial Returns}, author = {Y Cai and J Stander}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85089502444&doi=10.1093%2fjjfinec%2fnbz014&partnerID=40&md5=163077f1767626db16decb1550bd24b8}, doi = {10.1093/jjfinec/nbz014}, year = {2020}, date = {2020-01-01}, journal = {Journal of Financial Econometrics}, volume = {18}, number = {2}, pages = {395-424}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Ekman, R; Ilderton, A Backreaction in strong field QED: A toy model Journal Article Physical Review D, 101 (5), 2020. @article{Ekman2020, title = {Backreaction in strong field QED: A toy model}, author = {R Ekman and A Ilderton}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083357704&doi=10.1103%2fPhysRevD.101.056022&partnerID=40&md5=f3d5ae489f94fc89416eadd7d3bc34b6}, doi = {10.1103/PhysRevD.101.056022}, year = {2020}, date = {2020-01-01}, journal = {Physical Review D}, volume = {101}, number = {5}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Ransley, E; Yan, S; Brown, S; Hann, M; Graham, D; Windt, C; Schmitt, P; Davidson, J; Ringwood, J; Musiedlak, P -H; Wang, J; Wang, J; Ma, Q; Xie, Z; Zhang, N; Zheng, X; Giorgi, G; Chen, H; Lin, Z; Qian, L; Ma, Z; Bai, W; Chen, Q; Zang, J; Ding, H; Cheng, L; Zheng, J; Gu, H; Gong, X; Liu, Z; Zhuang, Y; Wan, D; Bingham, H; Greaves, D A blind comparative study of focused wave interactions with floating structures (CCP-WSI blind test series 3) Journal Article International Journal of Offshore and Polar Engineering, 30 (1), pp. 1-10, 2020. @article{Ransley20201, title = {A blind comparative study of focused wave interactions with floating structures (CCP-WSI blind test series 3)}, author = {E Ransley and S Yan and S Brown and M Hann and D Graham and C Windt and P Schmitt and J Davidson and J Ringwood and P -H Musiedlak and J Wang and J Wang and Q Ma and Z Xie and N Zhang and X Zheng and G Giorgi and H Chen and Z Lin and L Qian and Z Ma and W Bai and Q Chen and J Zang and H Ding and L Cheng and J Zheng and H Gu and X Gong and Z Liu and Y Zhuang and D Wan and H Bingham and D Greaves}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85081623074&doi=10.17736%2fijope.2020.jc774&partnerID=40&md5=db564955ed30acee811f6816f4f95585}, doi = {10.17736/ijope.2020.jc774}, year = {2020}, date = {2020-01-01}, journal = {International Journal of Offshore and Polar Engineering}, volume = {30}, number = {1}, pages = {1-10}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Valle, Dalla L; Leisen, F; Rossini, L; Zhu, W Bayesian analysis of immigration in Europe with generalized logistic regression Journal Article Journal of Applied Statistics, 47 (3), pp. 424-438, 2020. @article{DallaValle2020424, title = {Bayesian analysis of immigration in Europe with generalized logistic regression}, author = {L Dalla Valle and F Leisen and L Rossini and W Zhu}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079351321&doi=10.1080%2f02664763.2019.1642310&partnerID=40&md5=735ff23a36917693af567a64113b6c70}, doi = {10.1080/02664763.2019.1642310}, year = {2020}, date = {2020-01-01}, journal = {Journal of Applied Statistics}, volume = {47}, number = {3}, pages = {424-438}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Mohammed, S; Graham, D I; Reis, T Modeling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method Journal Article Physics of Fluids, 32 (2), 2020. @article{Mohammed2020, title = {Modeling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method}, author = {S Mohammed and D I Graham and T Reis}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079294877&doi=10.1063%2f1.5131865&partnerID=40&md5=2ea3921a69f51975ea2bc99bfd26eadf}, doi = {10.1063/1.5131865}, year = {2020}, date = {2020-01-01}, journal = {Physics of Fluids}, volume = {32}, number = {2}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Cutello, C A; Hellier, E; Stander, J; Hanoch, Y Evaluating the effectiveness of a young driver-education intervention: Learn2Live Journal Article Transportation Research Part F: Traffic Psychology and Behaviour, 69 , pp. 375-384, 2020. @article{Cutello2020375, title = {Evaluating the effectiveness of a young driver-education intervention: Learn2Live}, author = {C A Cutello and E Hellier and J Stander and Y Hanoch}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079845957&doi=10.1016%2fj.trf.2020.02.009&partnerID=40&md5=fa5191dc8573ff4875fb89b2327865ce}, doi = {10.1016/j.trf.2020.02.009}, year = {2020}, date = {2020-01-01}, journal = {Transportation Research Part F: Traffic Psychology and Behaviour}, volume = {69}, pages = {375-384}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Lanario, J W; Hyland, M E; Wei, Y; Jones, R C; Masoli, M Comparison of the effects of pulmonary and extra-pulmonary symptoms on health-related quality of life in patients with severe asthma Journal Article Respiratory Medicine, 162 , 2020. @article{Lanario2020, title = {Comparison of the effects of pulmonary and extra-pulmonary symptoms on health-related quality of life in patients with severe asthma}, author = {J W Lanario and M E Hyland and Y Wei and R C Jones and M Masoli}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077751142&doi=10.1016%2fj.rmed.2020.105870&partnerID=40&md5=d0233addd17ae5a0d1e457e9273592e6}, doi = {10.1016/j.rmed.2020.105870}, year = {2020}, date = {2020-01-01}, journal = {Respiratory Medicine}, volume = {162}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Francesconi, O; Holzmann, M; Lucini, B; Rago, A Free energy of the self-interacting relativistic lattice Bose gas at finite density Journal Article Physical Review D, 101 (1), 2020. @article{Francesconi2020, title = {Free energy of the self-interacting relativistic lattice Bose gas at finite density}, author = {O Francesconi and M Holzmann and B Lucini and A Rago}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078183135&doi=10.1103%2fPhysRevD.101.014504&partnerID=40&md5=2d89d7bbe99588600845f798593ff86c}, doi = {10.1103/PhysRevD.101.014504}, year = {2020}, date = {2020-01-01}, journal = {Physical Review D}, volume = {101}, number = {1}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Ilderton, A Coherent quantum enhancement of pair production in the null domain Journal Article Physical Review D, 101 (1), 2020. @article{Ilderton2020c, title = {Coherent quantum enhancement of pair production in the null domain}, author = {A Ilderton}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078129194&doi=10.1103%2fPhysRevD.101.016006&partnerID=40&md5=956ae435ec5bce5dd6e1539ca1d0f841}, doi = {10.1103/PhysRevD.101.016006}, year = {2020}, date = {2020-01-01}, journal = {Physical Review D}, volume = {101}, number = {1}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Graham, D I; Craven, M J An exact algorithm for small-cardinality constrained portfolio optimisation Journal Article Journal of the Operational Research Society, 2020. @article{Graham2020, title = {An exact algorithm for small-cardinality constrained portfolio optimisation}, author = {D I Graham and M J Craven}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079710322&doi=10.1080%2f01605682.2020.1718019&partnerID=40&md5=97a010bbc4ec050e48319c744cb88a1a}, doi = {10.1080/01605682.2020.1718019}, year = {2020}, date = {2020-01-01}, journal = {Journal of the Operational Research Society}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Kluczek, M; Stuhlmeier, R Mass transport for Pollard waves Journal Article Applicable Analysis, 2020. @article{Kluczek2020, title = {Mass transport for Pollard waves}, author = {M Kluczek and R Stuhlmeier}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087156706&doi=10.1080%2f00036811.2020.1766029&partnerID=40&md5=175e543dc6ee343bb779657856d47074}, doi = {10.1080/00036811.2020.1766029}, year = {2020}, date = {2020-01-01}, journal = {Applicable Analysis}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Sinnah, Bu Z A; Graham, D I; Reis, T Lattice Boltzmann modelling of pulsatile flow using moment boundary conditions Conference 2020. @conference{BuSinnah20202355, title = {Lattice Boltzmann modelling of pulsatile flow using moment boundary conditions}, author = {Z A Bu Sinnah and D I Graham and T Reis}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85081064443&partnerID=40&md5=85b7d6bedc7f3d0ba67aade20d49a432}, year = {2020}, date = {2020-01-01}, journal = {Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018}, pages = {2355-2366}, keywords = {}, pubstate = {published}, tppubtype = {conference} } |
Francesconi, O; Holzmann, M; Lucini, B; Rago, A Density of state method for complex action systems Journal Article Acta Physica Polonica B, Proceedings Supplement, 13 (1), pp. 121-126, 2020. @article{Francesconi2020121, title = {Density of state method for complex action systems}, author = {O Francesconi and M Holzmann and B Lucini and A Rago}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078839034&doi=10.5506%2fAPhysPolBSupp.13.121&partnerID=40&md5=be6caf3ae1c7289a8a7a7ab9902bdef7}, doi = {10.5506/APhysPolBSupp.13.121}, year = {2020}, date = {2020-01-01}, journal = {Acta Physica Polonica B, Proceedings Supplement}, volume = {13}, number = {1}, pages = {121-126}, keywords = {}, pubstate = {published}, tppubtype = {article} } |
Lange-Hegermann, M; Robertz, D Thomas Decomposition and Nonlinear Control Systems Book Chapter Quadrat A.; Zerz, E (Ed.): Algebraic and Symbolic Computation Methods in Dynamical Systems, 9 , pp. 117-146, Springer, 2020. @inbook{LangeHegermannRobertz2b, title = {Thomas Decomposition and Nonlinear Control Systems}, author = {Lange-Hegermann, M. and Robertz, D.}, editor = {Quadrat, A.; Zerz, E.}, url = {https://link.springer.com/chapter/10.1007/978-3-030-38356-5_4}, year = {2020}, date = {2020-01-01}, booktitle = {Algebraic and Symbolic Computation Methods in Dynamical Systems}, volume = {9}, pages = {117-146}, publisher = {Springer}, series = {Advances in Delays and Dynamics}, abstract = {This paper applies the Thomas decomposition technique to nonlinear control systems, in particular to the study of the dependence of the system behavior on parameters. Thomas' algorithm is a symbolic method which splits a given system of nonlinear partial differential equations into a finite family of so-called simple systems which are formally integrable and define a partition of the solution set of the original differential system. Different simple systems of a Thomas decomposition describe different structural behavior of the control system in general. The paper gives an introduction to the Thomas decomposition method and shows how notions such as invertibility, observability and flat outputs can be studied. A Maple implementation of Thomas' algorithm is used to illustrate the techniques on explicit examples.}, keywords = {}, pubstate = {published}, tppubtype = {inbook} } This paper applies the Thomas decomposition technique to nonlinear control systems, in particular to the study of the dependence of the system behavior on parameters. Thomas' algorithm is a symbolic method which splits a given system of nonlinear partial differential equations into a finite family of so-called simple systems which are formally integrable and define a partition of the solution set of the original differential system. Different simple systems of a Thomas decomposition describe different structural behavior of the control system in general. The paper gives an introduction to the Thomas decomposition method and shows how notions such as invertibility, observability and flat outputs can be studied. A Maple implementation of Thomas' algorithm is used to illustrate the techniques on explicit examples. |
2019 |
Walker, David J; Craven, Matthew J Identifying Good Algorithm Parameters in Evolutionary Multi- and Many-Objective Optimisation: A Visualisation Approach Journal Article Applied Soft Computing, pp. 105902, 2019. @article{djw-mjc-3, title = {Identifying Good Algorithm Parameters in Evolutionary Multi- and Many-Objective Optimisation: A Visualisation Approach}, author = {David J. Walker and Matthew J. Craven}, doi = {10.1016/j.asoc.2019.105902}, year = {2019}, date = {2019-11-28}, journal = {Applied Soft Computing}, pages = {105902}, abstract = {Evolutionary algorithms are often highly dependent on the correct setting of their parameters, and benchmarking different parametrisations allows a user to identify which parameters offer the best performance on their given problem. Visualisation offers a way of presenting the results of such benchmarking so that a non-expert user can understand how their algorithm is performing. By examining the characteristics of their algorithm, such as convergence and diversity, the user can learn how effective their chosen algorithm parametrisation is. This paper presents a technique intended to offer this insight, by presenting the relative performance of a set of EAs optimising the same multi-objective problem in a simple visualisation. The visualisation characterises the behaviour of the algorithm in terms of known performance indicators drawn from the literature, and is capable of visualising the optimisation of many-objective problems also. The method is demonstrated with benchmark test problems from the popular DTLZ and CEC 2009 problem suites, optimising them with different parametrisations of both NSGA-II and NSGA-III, and it is shown that known characteristics of optimisers solving these problems can be observed in the visualisations resulting.}, keywords = {}, pubstate = {published}, tppubtype = {article} } Evolutionary algorithms are often highly dependent on the correct setting of their parameters, and benchmarking different parametrisations allows a user to identify which parameters offer the best performance on their given problem. Visualisation offers a way of presenting the results of such benchmarking so that a non-expert user can understand how their algorithm is performing. By examining the characteristics of their algorithm, such as convergence and diversity, the user can learn how effective their chosen algorithm parametrisation is. This paper presents a technique intended to offer this insight, by presenting the relative performance of a set of EAs optimising the same multi-objective problem in a simple visualisation. The visualisation characterises the behaviour of the algorithm in terms of known performance indicators drawn from the literature, and is capable of visualising the optimisation of many-objective problems also. The method is demonstrated with benchmark test problems from the popular DTLZ and CEC 2009 problem suites, optimising them with different parametrisations of both NSGA-II and NSGA-III, and it is shown that known characteristics of optimisers solving these problems can be observed in the visualisations resulting. |
Publications
2021 |
Singularities of Algebraic Differential Equations Journal Article Advances in Applied Mathematics, 131 , pp. Paper No. 102266, 2021. |
Description of the origami waterbomb cell kinematics as a basis for the design of thin-walled oricrete shells Inproceedings Behnejad, S A; Parke, G A R; Samavati, O A (Ed.): IASS2020/21-SURREY7: Annual Symposium of the International Association for Shell and Spatial Structures (IASS2020/21) and the 7th Surrey International Conference on Spatial Structure, 2021. |
An Involutive GVW Algorithm and the Computation of Pommaret Bases Journal Article Mathematics in Computer Science, 15 (3), pp. 419-452, 2021. |
Freak waves caused by reflection Journal Article Coastal Engineering, 170 , 2021. |
Systematic Reviews, 10 (1), 2021. |
Conceptual design report for the LUXE experiment Journal Article European Physical Journal: Special Topics, 230 (11), pp. 2445-2560, 2021. |
Singularities of algebraic differential equations Journal Article Advances in Applied Mathematics, 131 , 2021. |
An Involutive GVW Algorithm and the Computation of Pommaret Bases Journal Article Mathematics in Computer Science, 15 (3), pp. 419-452, 2021. |
Classical Resummation and Breakdown of Strong-Field QED Journal Article Physical Review Letters, 127 (6), 2021. |
Self-absorption of synchrotron radiation in a laser-irradiated plasma Journal Article Physics of Plasmas, 28 (5), 2021. |
Exact solutions in radiation reaction and the radiation-free direction Journal Article New Journal of Physics, 23 (5), 2021. |
Three-Dimensional Lotka–Volterra Systems with 3:−1:2-Resonance Journal Article Mediterranean Journal of Mathematics, 18 (4), 2021. |
NH2 linker for femtomolar label-free detection with reduced graphene oxide screen-printed electrodes Journal Article Carbon, 179 , pp. 514-522, 2021. |
Analytic integrability of certain resonant saddle Journal Article Chaos, Solitons and Fractals, 146 , 2021. |
Ergodic sampling of the topological charge using the density of states Journal Article European Physical Journal C, 81 (4), 2021. |
Scattering of Goldstone bosons and resonance production in a composite Higgs model on the lattice Journal Article Journal of High Energy Physics, 2021 (4), 2021. |
Interference effects in nonlinear Compton scattering due to pulse envelope Journal Article Physical Review D, 103 (3), 2021. |
Simplest description of charge propagation in a strong background Journal Article Physical Review D, 103 (3), 2021. |
Resummation of background-collinear corrections in strong field QED Journal Article Physical Review D, 103 (1), 2021. |
Estimating the correlation between semi-competing risk survival endpoints Journal Article Biometrical Journal, 2021. |
A sph model with open relaxation boundary for wave generation and absorption Conference 2021. |
Deterministic wave forecasting with the Zakharov equation Journal Article Journal of Fluid Mechanics, 913 , 2021. |
Survival After Thoracoscopic Surgery or Open Lobectomy: Systematic Review and Meta-Analysis Journal Article Annals of Thoracic Surgery, 111 (1), pp. 302-313, 2021. |
An exact algorithm for small-cardinality constrained portfolio optimisation Journal Article Journal of the Operational Research Society, 72 (6), pp. 1415-1431, 2021. |
2020 |
Visualising Evolution History in Multi- and Many-Objective Optimisation Conference Forthcoming Proceedings of Parallel Problem Solving from Nature, Lecture Notes in Computer Science Springer, Forthcoming. |
Modern Engineering Mathematics Book Pearson, 2020. |
An Exact Algorithm for Small-Cardinality Constrained Portfolio Optimisation Journal Article Journal of the Operational Research Society, 2020. |
The icosahedra of edge length 1 Journal Article Journal of Algebra, 545 , pp. 4–26, 2020. |
Master-field simulations of O(a)-improved lattice QCD: Algorithms, stability and exactness Journal Article Computer Physics Communications, 255 , 2020. |
A simple method for correcting for the Will Rogers phenomenon with biometrical applications Journal Article Biometrical Journal, 62 (4), pp. 1080-1089, 2020. |
Toward the observation of interference effects in nonlinear Compton scattering Journal Article Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 804 , 2020. |
Uniform locally constant field approximation for photon-seeded pair production Journal Article Physical Review A, 101 (4), 2020. |
The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red Journal Article Journal of High Energy Physics, 2020 (4), 2020. |
Genetic networks in Parkinson's and Alzheimer's disease Journal Article Aging, 12 (6), pp. 5221-5243, 2020. |
Identifying good algorithm parameters in evolutionary multi- and many-objective optimisation: A visualisation approach Journal Article Applied Soft Computing Journal, 88 , 2020. |
The Threshold GARCH Model: Estimation and Density Forecasting for Financial Returns Journal Article Journal of Financial Econometrics, 18 (2), pp. 395-424, 2020. |
Backreaction in strong field QED: A toy model Journal Article Physical Review D, 101 (5), 2020. |
A blind comparative study of focused wave interactions with floating structures (CCP-WSI blind test series 3) Journal Article International Journal of Offshore and Polar Engineering, 30 (1), pp. 1-10, 2020. |
Bayesian analysis of immigration in Europe with generalized logistic regression Journal Article Journal of Applied Statistics, 47 (3), pp. 424-438, 2020. |
Modeling the effects of slip on dipole-wall collision problems using a lattice Boltzmann equation method Journal Article Physics of Fluids, 32 (2), 2020. |
Evaluating the effectiveness of a young driver-education intervention: Learn2Live Journal Article Transportation Research Part F: Traffic Psychology and Behaviour, 69 , pp. 375-384, 2020. |
Comparison of the effects of pulmonary and extra-pulmonary symptoms on health-related quality of life in patients with severe asthma Journal Article Respiratory Medicine, 162 , 2020. |
Free energy of the self-interacting relativistic lattice Bose gas at finite density Journal Article Physical Review D, 101 (1), 2020. |
Coherent quantum enhancement of pair production in the null domain Journal Article Physical Review D, 101 (1), 2020. |
An exact algorithm for small-cardinality constrained portfolio optimisation Journal Article Journal of the Operational Research Society, 2020. |
Mass transport for Pollard waves Journal Article Applicable Analysis, 2020. |
Lattice Boltzmann modelling of pulsatile flow using moment boundary conditions Conference 2020. |
Density of state method for complex action systems Journal Article Acta Physica Polonica B, Proceedings Supplement, 13 (1), pp. 121-126, 2020. |
Thomas Decomposition and Nonlinear Control Systems Book Chapter Quadrat A.; Zerz, E (Ed.): Algebraic and Symbolic Computation Methods in Dynamical Systems, 9 , pp. 117-146, Springer, 2020. |
2019 |
Identifying Good Algorithm Parameters in Evolutionary Multi- and Many-Objective Optimisation: A Visualisation Approach Journal Article Applied Soft Computing, pp. 105902, 2019. |