AI based traffic lights optimization

Scientific publications of current team members
Authors Title Publication Volume Number Pages Year
Gurevich, Pavel; Stuke, Hannes Gradient conjugate priors and multi-layer neural networks Artificial Intelligence 278 103-184 2020
Gurevich, Pavel; Stuke, Hannes Dynamical systems approach to outlier robust deep neural networks for regression SIAM Journal on Applied Dynamical Systems 19 4 2567-2593 2020
Apruzzi, Fabio; Lin, Ling; Mayrhofer, Christoph Phases of 5d SCFTs from M-/F-theory on non-flat fibrations Journal of High Energy Physics 2019 5 1-53 2019
Achmed-Zade, Ismail; García-Etxebarria, Iñaki; Mayrhofer, Christoph A note on non-flat points in the SU (5)× U (1) PQ F-theory model Journal of High Energy Physics 2019 5 1-29 2019
Gurevich, Pavel Asymptotics of the heat kernels on 2D lattices Asymptotic Analysis 112 1-2 107-124 2019
Gurevich, Pavel; Ron, Eyal Stability of periodic solutions for hysteresis-delay differential equations Journal of Dynamics and Differential Equations 31 4 1873-1920 2019
Gurevich, Pavel; Stuke, Hannes Pairing an arbitrary regressor with an artificial neural network estimating aleatoric uncertainty Neurocomputing 350 291-306 2019
Cicoli, Michele; Ciupke, David; Mayrhofer, Christoph; Shukla, Pramod A geometrical upper bound on the inflaton range Journal of High Energy Physics 2018 5 1-28 2018
Scheel, Arnd; Sandstede, Björn; Hell, Juliette; Gurevich, Pavel Patterns of Dynamics: Berlin, July 2016 2018
Gurevich, Pavel; Reichelt, Sina Pulses in FitzHugh--Nagumo Systems with Rapidly Oscillating Coefficients Multiscale Modeling & Simulation 16 2 833-856 2018
Gurevich, Pavel; Tikhomirov, Sergey Spatially discrete reaction–diffusion equations with discontinuous hysteresis Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35 4 1041-1077 2018
H. Stuke Complex time blow-up of the nonlinear heat equation arXiv:1812.10707 2018
N. Ben-Gal; B. Brehm; J. Buchner; J. Hell; A. Karnauhova; S. Liebscher; A. Rendall; B. Smith; H. Stuke; M. Väth; B. Fiedler; Global Dynamics; Blow-Up and Bianchi. Cosmology in Space-Time-Matter: Analytic and Geometric Structures Monograph, Walter de Gruyter 2018
García-Etxebarria, Iñaki; Lüst, Dieter; Massai, Stefano; Mayrhofer, Christoph Ubiquity of non-geometry in heterotic compactifications Journal of High Energy Physics 2017 3 1-22 2017
Bies, Martin; Mayrhofer, Christoph; Weigand, Timo Gauge backgrounds and zero-mode counting in F-theory Journal of High Energy Physics 2017 11 1-106 2017
Cicoli, Michele; García-Etxebarria, Iñaki; Mayrhofer, Christoph; Quevedo, Fernando; Shukla, Pramod; Valandro, Roberto Global orientifolded quivers with inflation Journal of High Energy Physics 2017 11 1-36 2017
Bies, Martin; Mayrhofer, Christoph; Weigand, Timo Algebraic cycles and local anomalies in F-theory Journal of High Energy Physics 2017 11 1-49 2017
Font, Anamaría; Mayrhofer, Christoph Non-geometric vacua of the Spin (32)/ℤ2 heterotic string and little string theories Journal of High Energy Physics 2017 11 1-35 2017
Font, Anamaría; García-Etxebarria, Iñaki; Lust, Dieter; Massai, Stefano; Mayrhofer, Christoph Non-geometric heterotic backgrounds and 6D SCFTs/LSTs arXiv preprint arXiv:1712.07083 2017
Font, Anamaría; Mayrhofer, Christoph Non-Geometric Vacua of the $\mathbf {\text {Spin}(32)/\mathbb Z_2} $ Heterotic String and Little String Theories arXiv preprint arXiv:1708.05428 2017
Gurevich, Pavel; Tikhomirov, Sergey Error estimates for Riemann sums of some singular functions arXiv preprint arXiv:1703.03203 2017
Gurevich, Pavel; Stuke, Hannes; Kastrup, Andreas; Stuke, Heiner; Hildebrandt, Helmut Neuropsychological testing and machine learning distinguish Alzheimer’s disease from other causes for cognitive impairment Frontiers in aging neuroscience 9 114 2017
Gurevich, Pavel; Hell, Juliette; Sandstede, Björn; Scheel, Arnd Patterns of Dynamics Springer Proceedings in Mathematics & Statistics 205 2017
Gurevich, Pavel Asymptotics of parabolic Green’s functions on lattices St. Petersburg Mathematical Journal 28 5 569-596 2017
Arnold, Maxim; Begun, Nikita; Gurevich, Pavel; Kwame, Eyram; Lamba, Harbir; Rachinskii, Dmitrii Dynamics of discrete time systems with a hysteresis stop operator SIAM Journal on Applied Dynamical Systems 16 1 91-119 2017
Gurevich, Pavel; Tikhomirov, Sergey Rattling in spatially discrete diffusion equations with hysteresis Multiscale Modeling & Simulation 15 3 1176-1197 2017
H. Stuke, H. Stuke, V. A. Weilnhammer, K. Schmack Psychotic Experiences and Overhasty Inferences Are Related to Maladaptive Learning PLoS Computational Biology 13 2017
Chekmenev, Stanislav Investigation of possibilities to measure the deuteron electric dipole moment at storage rings PhD Thesis 137 2017
Lin, Ling; Mayrhofer, Christoph; Till, Oskar; Weigand, Timo Fluxes in F-theory compactifications on genus-one fibrations Journal of High Energy Physics 2016 1 1-37 2016
Font, Anamaría; García-Etxebarria, Iñaki; Lüst, Dieter; Massai, Stefano; Mayrhofer, Christoph Heterotic T-fects, 6D SCFTs, and F-theory Journal of High Energy Physics 2016 8 1-62 2016
Gurevich, Pavel; Väth, Martin Stability for Semilinear Parabolic Problems in $ L_2 $ and $ W^{1, 2} $ Zeitschrift für Analysis und ihre Anwendungen 35 3 333-357 2016
Gurevich, Pavel; Rachinskii, Dmitrii Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds Asymptotic Analysis 96 1 1-22 2016
Curran, Mark; Gurevich, Pavel; Tikhomirov, Sergey Recent advances in reaction-diffusion equations with non-ideal relays Control of Self-Organizing Nonlinear Systems 211-234 2016
M. Fila, H. Stuke Very slow stabilization for a nonlinear Fokker-Planck equation Nonlinear Analysis, Theory, Methods & Applications 138 2016
Chekmenev, Stanislav Estimation of systematic errors for deuteron electric dipole moment search at COSY International Journal of Modern Physics: Conference Series 40 2016
Mayrhofer, Christoph; Palti, Eran; Till, Oskar; Weigand, Timo On discrete symmetries and torsion homology in F-theory Journal of High Energy Physics 2015 6 1-21 2015
Gurevich, Pavel; Rachinskii, Dmitrii Pattern formation in parabolic equations containing hysteresis with diffusive thresholds Journal of Mathematical Analysis and Applications 424 2 1103-1124 2015
Zeitz, Maria; Gurevich, Pavel; Stark, Holger Feedback control of flow vorticity at low Reynolds numbers The European Physical Journal E 38 3 1-8 2015
Friedman, G; Gurevich, P; McCarthy, S; Rachinskii, D Switching behaviour of two-phenotype bacteria in varying environment Journal of Physics: Conference Series 585 1 12012 2015
Senichev, Yuriy; Andrianov, Sergei; Chekmenev, Stanislav Quasi-frozen spin method for EDM deuteron search Proceedings of the 6th International Particle Accelerator Conference 213-215 2015
Senichev, Yuriy; Andrianov, Sergei; Chekmenev, Stanislav Investigation of lattice for deuteron EDM ring Proceedings of ICAP2015 17-19 2015
Borchmann, Jan; Mayrhofer, Christoph; Palti, Eran; Weigand, Timo SU (5) Tops with Multiple U (1) s in F-theory Nuclear Physics B 882 1-69 2014
Cicoli, Michele; Klevers, Denis; Krippendorf, Sven; Mayrhofer, Christoph; Quevedo, Fernando; Valandro, Roberto Explicit de Sitter flux vacua for global string models with chiral matter Journal of High Energy Physics 2014 5 1-50 2014
Arends, Maximilian; Hebecker, Arthur; Heimpel, Konrad; Kraus, S; Luest, Dieter; Mayrhofer, Christoph; Schick, Christoph; Weigand, Timo D7‐brane moduli space in axion monodromy and fluxbrane inflation Fortschritte der Physik 62 8 647-702 2014
Mayrhofer, Christoph; Morrison, David R; Till, Oskar; Weigand, Timo Mordell-Weil torsion and the global structure of gauge groups in F-theory Journal of High Energy Physics 2014 10 1-47 2014
Mayrhofer, Christoph; Palti, Eran; Till, Oskar; Weigand, Timo Discrete Gauge Symmetries by Higgsing in four-dimensional F-theory Compactifications Journal of High Energy Physics 2014 12 1-36 2014
Gurevich, Pavel Asymptotics of solutions for nonlocal elliptic problems in plane bounded domains Functional Differential Equations 10 1-2 175-214 2014
Gurevich, Pavel; Tikhomirov, Sergey Systems of reaction-diffusion equations with spatially distributed hysteresis Mathematica Bohemica 139 2 239-257 2014
M. Fila, H. Stuke Special asymptotics for a critical fast diffusion equation Discrete and Continuous Dynamical Systems 7 2014
Chekmenev, Stanislav Estimation of systematic errors for deuteron electric dipole moment search at a storage ring Proceedings of the 65th International Particle Accelerator Conference 2998-3001 2014
Mayrhofer, Christoph; Palti, Eran; Weigand, Timo U (1) symmetries in F-theory GUTs with multiple sections Journal of High Energy Physics 2013 3 1-45 2013
Borchmann, Jan; Mayrhofer, Christoph; Palti, Eran; Weigand, Timo Elliptic fibrations for S U (5)× U (1)× U (1) F-theory vacua Physical Review D 88 4 46005 2013
Cicoli, Michele; Krippendorf, Sven; Mayrhofer, Christoph; Quevedo, Fernando; Valandro, Roberto The web of D-branes at singularities in compact Calabi-Yau manifolds Journal of High Energy Physics 2013 5 1-28 2013
Mayrhofer, Christoph; Palti, Eran; Weigand, Timo Hypercharge flux in IIB and F-theory: anomalies and gauge coupling unification Journal of High Energy Physics 2013 9 1-30 2013
Cicoli, Michele; Krippendorf, Sven; Mayrhofer, Christoph; Quevedo, Fernando; Valandro, Roberto D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation Journal of High Energy Physics 2013 7 1-30 2013
Gurevich, Pavel; Rachinskii, Dmitrii Well-posedness of parabolic equations containing hysteresis with diffusive thresholds Proceedings of the Steklov Institute of Mathematics 283 1 87-109 2013
Gurevich, Pavel; Shamin, Roman; Tikhomirov, Sergey Reaction-diffusion equations with spatially distributed hysteresis SIAM Journal on Mathematical Analysis 45 3 1328-1355 2013
Krause, Sven; Mayrhofer, Christoph; Weigand, Timo G4-flux, chiral matter and singularity resolution in F-theory compactifications Nuclear Physics B 858 1 1-47 2012
Cicoli, Michele; Mayrhofer, Christoph; Valandro, Roberto Moduli stabilisation for chiral global models Journal of High Energy Physics 2012 2 1-43 2012
Cicoli, Michele; Kreuzer, Maximilian; Mayrhofer, Christoph Toric K3-fibred Calabi-Yau manifolds with del Pezzo divisors for string compactifications Journal of High Energy Physics 2012 2 1-42 2012
Krause, Sven; Mayrhofer, Christoph; Weigand, Timo Gauge fluxes in F-theory and type IIB orientifolds Journal of High Energy Physics 2012 8 1-52 2012
Cicoli, Michele; Krippendorf, Sven; Mayrhofer, Christoph; Quevedo, Fernando; Valandro, Roberto D-branes at del Pezzo singularities: global embedding and moduli stabilisation Journal of High Energy Physics 2012 9 1-52 2012
Gurevich, PL Elliptic problems with nonlocal boundary conditions and Feller semigroups Journal of Mathematical Sciences 182 3 255-440 2012
Gurevich, Pavel; Tikhomirov, Sergey Uniqueness of transverse solutions for reaction–diffusion equations with spatially distributed hysteresis Nonlinear Analysis: Theory, Methods & Applications 75 18 6610-6619 2012
Knapp, Johanna; Kreuzer, Maximilian; Mayrhofer, Christoph; Walliser, Nils-Ole Toric construction of global F-theory GUTs Journal of High Energy Physics 2011 3 1-37 2011
Gurevich, Pavel; Tikhomirov, Sergey Symmetric periodic solutions of parabolic problems with discontinuous hysteresis Journal of Dynamics and Differential Equations 23 4 923-960 2011
Gurevich, Pavel Periodic solutions of parabolic problems with hysteresis on the boundary Discrete & Continuous Dynamical Systems 29 3 1041 2011
Chen, Ching-Ming; Knapp, Johanna; Kreuzer, Maximilian; Mayrhofer, Christoph Global SO (10) F-theory guts Journal of High Energy Physics 2010 10 1-60 2010
Gurevich, Pavel Leonidovich Elliptic problems with nonlocal boundary conditions and Feller semigroups Contemporary Mathematics. Fundamental Directions 38 3-173 2010
J. Klein, S. Barbieri, H. Stuke, M. Bauer, J. Egger, C. Nimsky, H. K. Hahn On the Reliability of Diffusion Neuroimaging Neuroimaging 1-24 2010
Collinucci, Andrés; Kreuzer, Maximilian; Mayrhofer, Christoph; Walliser, Nils-Ole Four-modulus``Swiss Cheese''chiral models Journal of High Energy Physics 2009 7 74 2009
Gurevich, Pavel; Jäger, Willi; Skubachevskii, Alexander On periodicity of solutions for thermocontrol problems with hysteresis-type switches SIAM journal on mathematical analysis 41 2 733-752 2009
Gurevich, Pavel; Jäger, Willi Parabolic problems with the Preisach hysteresis operator in boundary conditions Journal of Differential Equations 247 11 2966-3010 2009
Kreuzer, M; Mayrhofer, C; Rashkov, RC Note on the near flat limit for strings in the Maldacena-Nunez background Physical Review D 77 6 66016 2008
Gurevich, Pavel On nonexistence of Feller semigroups in the nontransversal case Russian Math. Surveys. 63 3 565-566 2008
Gurevich, Pavel Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions Journal of Differential Equations 245 5 1323-1355 2008
Gurevich, Pavel Leonidovich Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary Mathematical Notes 83 1 162-179 2008
Gurevich, Pavel Leonidovich On the existence of a Feller semigroup with atomic measure in a nonlocal boundary condition Proceedings of the Steklov Institute of Mathematics 260 1 157-171 2008
Gurevich, PL; Jäger, W; Skubachevskii, AL On the existence of periodic solutions to some nonlinear thermal control problems Doklady Mathematics 77 1 27-30 2008
. Klein, H. Stuke, B. Stieltjes, O. Konrad, H. K. Hahn, H.-O. Peitgen Efficient Fiber Clustering using Parameterized Polynomials SPIE Medical Imaging (Visualization, Image-Guided Procedures, and Modeling) 2008
J. Klein, H. Stuke, J. Rexilius, B. Stieltjes, H. K. Hahn, and H.-O. Peitgen Towards User-Independent DTI Quantification SPIE Medical Imaging (Image Processing) 6914 2008
Mayrhofer, Christoph; Rebhan, Anton; van Nieuwenhuizen, Peter; Wimmer, Robert Perturbative quantum corrections to the supersymmetric CP1 kink with twisted mass Journal of High Energy Physics 2007 9 69 2007
Gurevich, Pavel Unbounded perturbations of two-dimensional diffusion processes with nonlocal boundary conditions Russian Acad. Sci. Dokl. Math. 76 2007
Gurevich, Pavel; Skubachevskii, Alexander On the Fredholm and unique solvability of nonlocal elliptic problems in multidimensional domains Trans. Moscow Math. Soc. 261-336 2007
Gurevich, Pavel Leonidovich On the index instability for some nonlocal elliptic problems Journal of Mathematical Sciences 143 4 3293-3302 2007
Gurevich, Pavel Leonidovich On the stability of the index of unbounded nonlocal operators in Sobolev spaces Proceedings of the Steklov Institute of Mathematics 255 1 108-126 2006
Gurevich, Pavel The consistency conditions and the smoothness of generalized solutions of nonlocal elliptic problems Advances in Differential Equations 11 3 305-360 2006
Gurevich, Pavel Leonidovich Generalized solutions of nonlocal elliptic problems Mathematical Notes 77 5 614-629 2005
Gurevich, PL Solvability of nonlocal elliptic problems in Sobolev spaces, II Russian Journal of Mathematical Physics 11 1 1-44 2004
Gurevich, PL Asymptotics of solutions for nonlocal elliptic problems in plane angles Journal of Mathematical Sciences 120 3 1295-1312 2004
Gurevich, PL Smoothness of Generalized Solutions to Nonlocal Elliptic Problems on the Plane Doklady Mathematics-Interperiodica Translation 70 2 714-718 2004
Gurevich, PL Nonlocal elliptic problems with nonlinear argument transformations near the conjugation points Izvestiia Rossijskoj Akademii Nauk-Seriia Matematitcheskaia 67 6 71-110 2003
Gurevich, Pavel Leonidovich Solvability of nonlocal elliptic problems in dihedral angles Mathematical Notes 72 1 158-176 2002
Gurevich, Pavel Nonlocal problems for elliptic equations in dihedral angles and the Green formula Mitteilungen aus dem Mathem. Seminar Giessen, Math. Inst. Univ. Giessen, Germany 247 1-74 2001
Gurevich, PL Nonlocal Elliptic Problems in Dihedral Angles and the Green Formula Doklady Mathematics-Interperiodica Translation 64 1 117-120 2001
Gurevich, Pavel Solvability of the boundary value problem for some differential-difference equations Functional Differential Equations 5 139-157 1998