Welcome.

I am Lucas Böttcher. Below you can find some information about me and my research.

About

Current and Past Positions
Education (courses)
Awards
Memberships


Publications

Articles
  1. L. Böttcher, M. A. Porter, Dynamical processes on metric networks, arXiv:2401.00735, GitLab repo
  2. L. L. Fonseca, L. Böttcher, B. Mehrad, R. C. Laubenbacher, Metamodeling and control of medical digital twins, arXiv:2402.05750
  3. L. Böttcher, T. Chou, M. R. D'Orsogna, Forecasting drug overdose mortality by age in the United States at the national and county levels, PNAS Nexus (2024), arXiv:2309.14452, medRxiv:2023.09.25.23296097
  4. H. Masoomy, T. Chou, L. Böttcher, Impact of random and targeted disruptions on information diffusion during outbreaks, Chaos 33, 033145 (2023), arXiv:2301.00748, GitLab repo
  5. L. Böttcher, M. A. Porter, Complex networks with complex weights, Phys. Rev. E 109, 024314 (2024), arXiv:2212.06257, GitLab repo
  6. L. Böttcher, J. J. F. Breedvelt, F. C. Warren, Z. Segal, W. Kuyken, C. L. H. Bockting, Identifying relapse predictors in individual participant data with decision trees, BMC Psychiatry 23, 835 (2023), PsyArXiv:69ezt
  7. L. Böttcher, G. Wheeler, Visualizing high-dimensional loss landscapes with Hessian directions, J. Stat. Mech. Theory Exp., 023401 (2024), arXiv:2208.13219, GitLab repo
  8. L. Böttcher, T. Chou, M. R. D'Orsogna, Modeling and forecasting age-specific overdose mortality in the United States, Eur. Phys. J. Spec. Top. 232, 1743--1752 (2023), arXiv:2303.16172
  9. L. Böttcher, T. Asikis, Near-optimal control of dynamical systems with neural ordinary differential equations, Mach. Learn.: Sci. Technol. 3, 045004 (2022), arXiv:2206.11120, Gitlab repo
  10. D. Wernli, L. Böttcher, F. Vanackere, Y. Kaspiarovich, M. Massood, N. Levrat, Understanding and governing systemic crises in the 21st century: a review from a complexity perspective, Glob. Policy 14, 207--228 (2023)
  11. L. Böttcher, S. Wald, T. Chou, Mathematical characterization of private and public immune repertoire sequences, Bull. Math. Biol. 85, 102 (2023), arXiv:2205.08750, biorxiv:2022.05.17.492232v1, Gitlab repo
  12. M. R. D'Orsogna, L. Böttcher, T. Chou, Fentanyl-driven acceleration of racial, gender and geographical disparities in drug overdose deaths in the United States, PLOS Glob. Public Health 3, e0000769 (2023), medRxiv:2022.06.22.22276766
  13. M. Xia, L. Böttcher, T. Chou, Spectrally adapted physics-informed neural networks for solving unbounded domain problems, Mach. Learn.: Sci. Technol. 4, 025024 (2023), arXiv:2202.02710, Gitlab repo
  14. L. Böttcher, T. Asikis, I. Fragkos, Control of dual-sourcing inventory systems using recurrent neural networks, INFORMS J. Comput. 35, 1308--1328 (2023), arXiv:2201.06126, IJoC GitHub repo
  15. N. Antulov-Fantulin, L. Böttcher, On the accuracy of short-term COVID-19 fatality forecasts, BMC Infect. Dis. 22, 251 (2022), arXiv:2107.09891, GitHub repo
  16. L. Böttcher, H. Gersbach, D. Wernli, Restoring the antibiotic R&D market to combat the resistance crisis, Sci. Public Policy 49, 127--131 (2022)
  17. M. Xia, L. Böttcher, T. Chou, Controlling epidemics through optimal allocation of test kits and vaccine doses across networks, IEEE Trans. Netw. Sci. Eng. 9, 1422--1436 (2022), arXiv:2107.13709, GitLab repo
  18. T. Schneider, O. R. A. Dunbar, J. Wu, L. Böttcher, D. Burov, A. Garbuno-Inigo, G. L. Wagner, S. Pei, C. Daraio, R. Ferrari, J. Shaman, Epidemic management and control through individual risk-tailored contact interventions, PLOS Comp. Biol. 18, e1010171 (2022), arXiv:2109.10970, GitHub repo
  19. L. Böttcher, N. Antulov-Fantulin, T. Asikis, AI Pontryagin or how artificial neural networks learn to control dynamical systems, Nat. Commun. 13, 333 (2022), arXiv:2103.06525, GitHub repo
  20. L. Böttcher, M. R. D'Orsogna, T. Chou, A statistical model of COVID-19 testing in populations: effects of sampling bias and testing errors, Philos. Trans. Royal Soc. A 380, 20210121 (2021), medRxiv:2021.05.22.21257643, arXiv:2105.11961, GitHub repo
  21. L. Böttcher, J. Nagler, Decisive conditions for strategic vaccination against SARS-CoV-2, Chaos 31, 101105 (2021), medRxiv:2021.03.05.21252962, GitHub repo
  22. L. Böttcher, G. Kernell, Examining the limits of the Condorcet Jury Theorem: Tradeoffs in hierarchical information aggregation systems, Collect. Intell. 1, 1--16 (2022), arXiv:2110.02298
  23. D. Wernli, M. Clausin, N. Antulov-Fantulin, J. Berezowski, N. Biller, K. Blanchet, L. Böttcher, C. Burton-Jeangros, G. Escher, A. Flahault, K. Fukuda, D. Helbing, P. D. Jaffé, P. S. Jørgensen, Y. Kaspiarovich, J. Krishnakumar, J. Berezowski, R. J. Lawrence, K. Lee, A. Léger, N. Levrat, R. Martischang, C. M. Morel, D. Pittet, M. Stauffer, F. Tediosi, F. Vanackere, J.-D. Vassalli, G. Wolff, O. Young, Building a multisystemic understanding of societal resilience to the COVID-19 pandemic, BMJ Glob. Health 6, e006794 (2021)
  24. L. Böttcher, M. R. D'Orsogna, T. Chou, Using excess deaths and testing statistics to determine estimates of COVID-19 mortalities, Eur. J. Epidemiol. 36, 545--558 (2021), medRxiv:2021.01.10.21249524, arXiv:2101.03467, GitHub repo
  25. L. Böttcher, M. A. Porter, Classical and quantum random-walk centrality measures in multilayer networks, SIAM J. Appl. Math. 81, 2704--2724 (2021), arXiv:2012.07157, Gitlab repo
  26. S. Wald, L. Böttcher, From classical to quantum walks with stochastic resetting on networks, Phys. Rev. E 103, 012122 (2021), arXiv:2008.00510, GitHub repo
  27. T. Asikis, L. Böttcher, N. Antulov-Fantulin, Neural ordinary differential equation control of dynamics on graphs, Phys. Rev. Res. 4, 013221 (2022), arXiv:2006.09773, GitHub repo
  28. P. Richter, M. Henkel, L. Böttcher, Aging and equilibration in bistable contagion dynamics, Phys. Rev. E 102, 042308 (2020), arXiv:2006.05937
  29. S.D.S. Reis, L. Böttcher, J.P. da C. Nogueira, G.S. Sousa, A.S. Lima Neto, H.J. Herrmann, J.S. Andrade Jr, Spatio-temporal characteristics of dengue outbreaks, Front. Phys. 10, 923099 (2022), arXiv:2006.02646
  30. L. Böttcher, M. Xia, T. Chou, Why case fatality ratios can be misleading: individual- and population-based mortality estimates and factors influencing them, Phys. Biol. 17, 065003 (2020), arXiv:2003.12032, medRxiv:2020.03.26.20044693
  31. L. Böttcher, N. Antulov-Fantulin, Unifying continuous, discrete, and susceptible-infected-recovered processes on networks, Phys. Rev. Res. 2, 033121 (2020), arXiv:2002.11765
  32. L. Böttcher, H. Gersbach, A refunding scheme to incentivize narrow-spectrum antibiotic development, Bull. Math. Biol. 84, 59 (2022), arXiv:2007.06468, medRxiv:2020.07.13.20152652, CEPR:DP15512
  33. F. D'Angelo, L. Böttcher, Learning the Ising model with generative neural networks, Phys. Rev. Res. 2, 023266 (2020), arXiv:2001.05361, GitHub repo
  34. L. Böttcher, A random-line-graph approach to overlapping line segments, J. Complex Netw. 8, cnaa029 (2020), arXiv:1911.10679
  35. S. Nauer, L. Böttcher, M. A. Porter, Random-graph models and characterization of granular networks, J. Complex Netw. 8, cnz037 (2019), arXiv:1907.13424
  36. S. Xu, L. Böttcher, T. Chou, Diversity in biology: definitions, quantification, and models, Phys. Biol. 17, 031001 (2020), arXiv:1908.08190
  37. L. Böttcher, H. Gersbach, The great divide: Quantifying drivers of polarization in the US public, EPJ Data Sci. 9, 32 (2020), arXiv:2001.05163, GitLab repo
  38. L. Böttcher, P. Montealegre, E. Goles, H. Gersbach, Competing activists--political polarization, Physica A 545, 123713 (2019), arXiv:1910.14531
  39. S. Strub, L. Böttcher, Modeling deformed transmission lines for continuous strain sensing applications, Meas. Sci. Technol. 31, 035109 (2019), arXiv:1912.13319
  40. M. Hoferer, L. Böttcher, H.J. Herrmann, H. Gersbach, The impact of technologies in political campaigns, Physica A 538, 122795 (2019), arXiv:1909.07644
  41. L. Böttcher, H.J. Herrmann, H. Gersbach, Clout, activists and budget: The road to presidency, PLOS One 13(3):e0193199. (2018), arXiv:1802.02048
  42. L. Böttcher, H.J. Herrmann, M. Henkel, Dynamical universality of the contact process, J. Phys. A 51, 125003 (2018), arXiv:1802.00037
  43. L. Böttcher, J. S. Andrade Jr., H.J. Herrmann, Targeted recovery as an effective strategy against epidemic spreading, Sci. Rep. 7, 14356 (2017), arXiv:1710.05807
  44. L. Böttcher, J. Nagler, H.J. Herrmann, Critical behaviors in contagion dynamics, Phys. Rev. Lett. 118, 088301 (2017), arXiv:1701.08988, GitHub repo
  45. L. Böttcher, O. Woolley-Meza, D. Brockmann, Temporal dynamics of online petitions, PLOS One 12(5):e0178062. (2017), arXiv:1705.04202
  46. L. Böttcher, M. Lukovic, J. Nagler, S. Havlin, H.J. Herrmann, Failure and recovery in dynamical networks, Sci. Rep. 7, 41729 (2017), arXiv:1610.00997
  47. L. Böttcher, O. Woolley-Meza, E. Goles, D. Helbing, H.J. Herrmann, Connectivity disruption sparks explosive epidemic spreading, Phys. Rev. E 93, 042315 (2016), arXiv:1604.07783
  48. L. Böttcher, N.A.M. Araújo, J. Nagler, J.F.F. Mendes, D. Helbing, H.J. Herrmann, Gender gap in the ERASMUS mobility program, PLOS One 11(2):e0149514. (2016), arXiv:1602.01442
  49. L. Böttcher, O. Woolley-Meza, N.A.M. Araújo, H.J. Herrmann, D. Helbing, Disease-induced resource constraints can trigger explosive epidemics, Sci. Rep. 5, 16571 (2015), arXiv:1508.05484, ssrn.2496128
  50. R. Mani, L. Böttcher, H.J. Herrmann, D. Helbing, Extreme power law in a driven many-particle system without threshold dynamics, Phys. Rev. E 90, 042201 (2014), arXiv:1404.7460
Books, chapters, conference proceedings, and other scholarship
  1. H. Gersbach, L. Böttcher New incentives for antibiotics research and development, KOF Bulletin, No. 175, July (2023)
  2. L. Böttcher, Gradient-free training of neural ODEs for system identification and control using ensemble Kalman inversion, ICML Workshop on New Frontiers in Learning, Control, and Dynamical Systems at the International Conference on Machine Learning (ICML), Honolulu, Hawaii, USA (2023), arXiv:2307.07882
  3. L. Böttcher, chapter on Contagion dynamics in complex networks, Automata and Complexity, Essays presented to Eric Goles on the occasion of his 70th birthday, Emergence, Complexity, and Computation (2022)
  4. L. Böttcher, H. Gersbach, Tax drugs to fight bugs (edited by John A. Whitfield), Research Europe (2022)
  5. D. Wernli, N. Antulov-Fantulin, J. Berezowski, N. Biller, K. Blanchet, L. Böttcher, C. Burton-Jeangros, M. Clausin, G. Escher, A. Flahault, K. Fukuda, D. Helbing, P. D. Jaffé, P. S. Jørgensen, Y. Kaspiarovich, J. Krishnakumar, J. Berezowski, R. J. Lawrence, K. Lee, A. Léger, N. Levrat, R. Martischang, C. M. Morel, D. Pittet, M. Stauffer, F. Tediosi, F. Vanackere, J.-D. Vassalli, G. Wolff, O. Young, Governance in the age of complexity: building resilience to COVID-19 and future pandemics (2021)
  6. L. Böttcher, H.J. Herrmann, Computational Statistical Physics, Cambridge University Press, Cambridge, United Kingdom (2021)
Media coverage and highlights You can find more information about my research and teaching (incl. planned workshops/conferences and job postings) on Twitter and LinkedIn.

Teaching

Year Courses
2023 -- Numerical Analysis of Dynamical Systems Machine Learning Computational Statistics Introduction to Data Analytics
2022 Numerical Analysis of Dynamical Systems Machine Learning Introduction to Data Analytics
2021 Introduction to Data Analytics
2020 Epidemic Forecasting Data Assimilation in Complex Social Systems
2019 Introduction to Computational Physics Computational Statistical Physics Dynamical Processes in Complex Networks
2018 Mathematik III
2017 Numerische Methoden

Pictures

Contact

Lucas Böttcher
Frankfurt School of Finance and Management
Adickesallee 32-34
60322 Frankfurt am Main, Germany
l dot boettcher at fs dot de