Publications
46. Selvitella, A.M. (2024). On the metastability of learning algorithms in physics-informed neural networks: a case study on Schr\"{o}dinger operators. ICML 2024 Workshop High-dimensional Learning Dynamics 2024: The Emergence of Structure and Reasoning. https://openreview.net/pdf?id=N6eW99aNlg
45. Selvitella, A.M. and Foster, K.L. (2023). On the effects of Type II left censoring in stable and chaotic compartmental models for infectious diseases: Do small sample estimates survive censoring?. Proceedings of the 2023 AAAI Fall Symposia, Second Symposium on Survival Prediction: Algorithms, Challenges, and Applications (SPACA), 2 (1). Arlington, Virginia, October 25-27, 2023. https://ojs.aaai.org/index.php/AAAI-SS/article/view/27715.
44. Selvitella, A.M. and Foster, K.L. (2023). On the variability and dependence of human leg stiffness across strides during running and some consequences for the analysis of locomotion data. Royal Society Open Science, 10, 230597. https://doi.org/10.1098/rsos.230597.
43. A.M. Selvitella and K.L. Foster. (2023). Gait stability of the spring-mass model of planar locomotion on inclines. Integrative and Comparative Biology, 62, S99-S99.
42. K.L. Foster and A.M. Selvitella. (2023). Anolis ecomorph biomechanics across arboreal environments: What can machine learning tell us about behavioral plasticity in lizards?. Integrative and Comparative Biology, 62, S99-S99.
41. A.M. Selvitella and K.L. Foster. (2022). The spring-mass model and other reductionist models of bipedal locomotion on inclines. Integrative and Comparative Biology, 62 (5), 1320-1334. https://doi.org/10.1093/icb/icac047.
40. K.L. Foster and A.M. Selvitella. (2022). Transfer of Anolis locomotor behavior across environments and species. Integrative and Comparative Biology, 62 (3), 774–790. https://doi.org/10.1093/icb/icac015.
39. N. Olson, K.L. Foster, and A.M. Selvitella. (2022). On the possibility of mode-collapse phenomena in combined machine learning and differential equation models for infectious diseases. ICML 2022 The 1st Workshop on Healthcare AI and COVID-19.
38. N. Schutt, K.L. Foster, and A.M. Selvitella. (2022). An interpretable time-series model for predicting nurse shortages and planning optimal nurse scheduling and staffing during the COVID-19 pandemic. ICML 2022The 1st Workshop on Healthcare AI and COVID-19.
37. B. Cao, Y.S. Liu, A.M. Selvitella, D. Librenza-Garcia, I. Cavalcante-Passos, J. Sawalha, P. Ballester, J. Chen, S. Dong, F. Wang, F. Kapczinski, S. Dursun, X.-M. Li, R. Greiner, and A.J. Greenshaw. (2021). Differential power of placebo across major psychiatric disorders: a preliminary meta-analysis and machine learning study. Scientific Reports, 21301. https://doi.org/10.1038/s41598-021-99534-z.
36. J. Sawalha, M. Yousefnezhad, A.M. Selvitella, B. Cao, A.J. Greenshaw, and R. Greiner. (2021). Predicting pediatric anxiety from the temporal pole using neural responses to emotional faces. Scientific Reports, 18, 11 (1), 16723. https://doi.org/10.1038/s41598-021-95987-4.
35. K.L. Foster and A.M. Selvitella. (2021). On the relationship between COVID-19 reported fatalities early in the pandemic and national socio-economic status predating the pandemic. AIMS Public Health, 8 (3), 439-455. https://doi.org/10.3934/publichealth.2021034
34. A.M. Selvitella, L. Carolan, J. Smethers, C. Hernandez, and K.L. Foster. (2021). A spatio-temporal investigation of the growth rate of COVID-19 incidents in Ohio, USA, early in the pandemic. The Ohio Journal of Science, 121 (2), 33-47. http://dx.doi.org/10.18061/ojs.v121i2.8059
33. A.M. Selvitella and J.J. Valdes. (2021). An extension of the gamma test to binary variables and its use as a machine learning tool. International Journal of Pattern Recognition and Artificial Intelligence, 35 (10), 2151010. https://doi.org/10.1142/S0218001421510101
32. J. Sawalha, L. Cao, J. Chen, A.M. Selvitella, Y. Liu, J. Sui, R. Greiner, X.-M. Li, A. Greenshaw, T. Li, and B. Cao. (2021). Individualized identification of first-episode bipolar disorder using machine learning and cognitive tests. Journal of Affective Disorders, 282, 662-668. https://doi.org/10.1016/j.jad.2020.12.046
31. M. Yousefnezhad, J. Sawalha, A.M. Selvitella, and D. Zhang. (2021). Deep representational similarity learning for analyzing neural signatures in task-based fMRI datasets. Neuroinformatics, 19 (3), 417- 431. https://doi.org/10.1007/s12021-020-09494-4
30. M. Yousefnezhad, A.M. Selvitella, L. Han, and D. Zhang. (2021). Supervised hyperalignment for multi-subject fMRI data alignment. IEEE Transactions in Cognitive and Developmental Systems, 13 (3), 475- 490. https://doi.org/10.1109/TCDS.2020.2965981
29. N. Schutt, K.L. Foster, and A.M. Selvitella. (2021). On learning the effects of healthcare overextension on increased mortality rate in the COVID-19 pandemic. International Joint Conference on Artificial Intelligence 2021 Workshop on AI for Social Good. August 21st, 2021.
28. K.L. Foster and A.M. Selvitella. (2021). Government measures against COVID-19 must be determined according to the socio-economic status of the country. International Conference on Learning Representations 2021 Workshop on AI for Public Health. May 7th, 2021. https://aiforpublichealth.github.io/papers/ICLR-AI4PH_paper_2.pdf
27. A.M. Selvitella and K.L. Foster. (2021). A higher order Taylor expansion of the initial trajectory of COVID-19 cases and deaths via Bayesian hierarchical models: a toy problem and possible public health insights. International Conference on Learning Representations 2021 Workshop on AI for Public Health. May 7th, 2021. https://aiforpublichealth.github.io/papers/ICLR-AI4PH_paper_3.pdf
26. A.M. Selvitella and K.L. Foster. (2021). Bayesian detection and uncertainty quantification of the first change point of the COVID-19 case curve in the Midwest: Timeliness of non-pharmaceutical interventions. International Conference on Learning Representations 2021 Workshop on AI for Public Health & International Conference on Learning Representations 2021 Workshop on Machine Learning for Preventing and Combating Pandemics. May 7th, 2021. https://aiforpublichealth.github.io/papers/ICLR-AI4PH_paper_21.pdf
25. K. Menchhofer, N. Mills, K.L. Foster, and A.M. Selvitella. (2021). COVID-19 incidence in the Indiana’s secondary school system through a conditional Gaussian model and an age-structured compartmental model. International Conference on Learning Representations 2021 Workshop on Machine Learning for Preventing and Combating Pandemics. May 7th, 2021. https://mlpcp21.github.io/pages/Accepted%20Paper.html
24. M. Yousefnezhad, A.M. Selvitella, A. Greenshaw, D. Zhang, and R. Greiner. (2020). Shared space transfer learning for analyzing multi-site fMRI data. Advances in Neural Information Processing Systems, 34, 1-11. December 10th, 2020. https://proceedings.neurips.cc/paper/2020/file/b837305e43f7e535a1506fc263eee3ed-Paper.pdf
23. K.L. Foster and A.M. Selvitella. (2020). Learning the locomotion behaviour of lizards transfers across environments. International Conference on Machine Learning 2020 Workshop on Computational Biology. July 17th, 2020. https://icml-compbio.github.io/2020/papers/WCBICML2020_paper_2.pdf
22. A.M. Selvitella and K.L. Foster. (2020). Societal and economic factors associated with COVID-19 indicate that developing countries suffer the most. Technium Social Sciences Journal, 10, 637-644. https://doi.org/10.47577/tssj.v10i1.1357
21. A.M. Selvitella. (2020). Uniqueness of the ground state of the NLS on Hd via analytical and topological methods. Rocky Mountain Journal of Mathematics, 50 (5), 1817-1832. https://doi.org/10.1216/rmj.2020.50.1817
20. K. Sabri, S. Shivananda, F. Farrokhyar, A.M. Selvitella, B. Easterbrook, W. Seidlitz, and S. Lee. (2020). Refining evidence-based retinopathy of prematurity screening guidelines: The SCREENROP Study. Paediatrics & Child Health, 25 (7), 455-466. https://doi.org/10.1093/pch/pxz085.
19. A.M. Selvitella. (2019). A characterization of elliptical distributions through stretched orthogonal matrices. Journal of Applied Probability and Statistics, 14 (3), 1-22.
18. A.M. Selvitella. (2019). On geometric probability distributions on the torus and applications to molecular biology. Electronic Journal of Statistics, 13 (2), 2717-2763. https://doi.org/10.1214/19-EJS1579
17. A.M. Selvitella. (2019). Qualitative properties of stationary solutions of the NLS on the hyperbolic space without and with external potentials. Communications in Pure and Applied Analysis, 18 (5), 2663-2677. https://doi.org/10.3934/cpaa.2019118
16. A.M. Selvitella. (2018). A Rosetta Stone for information theory and differential equations. Communications in Advanced Mathematical Sciences, 1 (1), 45-64. https://doi.org/10.33434/cams.448407
15. A.M. Selvitella. (2017). The Monge-Ampère equation in transformation theory and an application to 1/α - probabilities. Communications in Statistics - Theory and Methods, 46 (4), 2037-2054. https://doi.org/10.1080/03610926.2015.1040509
14. A.M. Selvitella. (2017). On 1/α - characteristic functions and applications to asymptotic statistical inference, Communications in Statistics - Theory and Methods, 46 (4), 1941-1958. https://doi.org/10.1080/03610926.2015.1030427
13. N. Balakrishnan and A.M. Selvitella. (2017). Symmetry of a distribution via symmetry of order statistics. Statistics and Probability Letters, 129, 367-372. https://doi.org/10.1016/j.spl.2017.06.023
12. A.M. Selvitella. (2017). The Simpson’s paradox in quantum mechanics. Journal of Mathematical Physics, 58 (3), 032101. https://doi.org/10.1063/1.4977784
11. A.M. Selvitella. (2017). The ubiquity of the Simpson’s paradox. Journal of Statistical Distributions and Applications, 4, 1-16. https://doi.org/10.1186/s40488-017-0056-5
10. B. Franke, J.-F. Plante, R. Roscher, E.A. Lee, C. Smyth, A. Hatefi, F. Chen, E. Gil, A. Schwing, A.M. Selvitella, M.M. Hoffman, R. Grosse, D. Hendricks, and N. Reid. (2016). Statistical inference, learning and models in big data. International Statistical Review, 84 (3), 371-289. https://doi.org/10.1111/insr.12176
9. A.M. Selvitella. (2016). The maximal Strichartz family of Gaussian distributions. International Journal of Differential Equations, 2016, 2343975. https://doi.org/10.1155/2016/2343975
8. A.M. Selvitella. (2016). The dual approach to stationary and evolution quasilinear PDEs. Nonlinear Differential Equations and Applications, 23, 1-22. https://doi.org/10.1007/s00030-016-0367-0
7. A.M. Selvitella. (2015). Nondegeneracy of the Ground State for Quasilinear Schrödinger Equations. Calculus of Variations and Partial Differential Equations, 53, 349-364. http://dx.doi.org/10.1007/s00526-014-0751-8
6. A.M. Selvitella. (2015). Remarks on the sharp constant for the Schrödinger Strichartz estimate and applications. Electronic Journal of Differential Equations, 2015 (270), 1-19. https://ejde.math.txstate.edu/Volumes/2015/270/selvitella.pdf
5. W. Craig, A.M. Selvitella, and Y. Wang. (2013). Birkhoff Normal Form for the Nonlinear Schrödinger Equation. Rendiconti Lincei. Matematica e Applicazioni, 24, 215-228. http://dx.doi.org/10.4171/RLM/653
4. A.M. Selvitella and Y. Wang. (2012). Morawetz and Interaction Morawetz estimates for a Quasilinear Schrödinger Equation. Journal of Hyperbolic Differential Equations, 09 (04), 613-639. https://doi.org/10.1142/S0219891612500208
3. A.M. Selvitella. (2011). Uniqueness and Nondegeneracy of the Ground State for a class of Quasilinear Schrödinger Equations with a small parameter. Nonlinear Analysis: Theory, Methods and Applications, 74 (5), 1731-1737. https://doi.org/10.1016/j.na.2010.10.045
2. A.M. Selvitella. (2010). Semiclassical evolution of two rotating solitons for the Nonlinear Schrödinger equation with electric potential. Advances in Differential Equations, 15 (3-4), 315-348. https://projecteuclid.org/journals/advances-in-differential-equations/volume-15/issue-3_2f_4/Semiclassical-evolution-of-two-rotating-solitons-for-the-Nonlinear-Schr%C3%B6dinger/ade/1355854752.full
1. A.M. Selvitella. (2008). Asymptotic Evolution for the Semiclassical Nonlinear Schrödinger Equation in presence of electric and magnetic fields. Journal of Differential Equations, 245 (9), 2566-2584. https://doi.org/10.1016/j.jde.2008.05.012