Peer-Reviewed Publications

  1. R. Yoon, H. S. Bhat, and B. Osting , A non-autonomous equation discovery method for time signal classification, submitted (2020). [arXiv]
  2. B. Osting, D. Wang, Y. Xu, and D. Zosso, Consistency of archetypal analysis, to appear in SIAM Journal on Mathematics of Data Science (2020). [arXiv]
  3. C.-Y. Kao, B. Osting, and É. Oudet, Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems, submitted (2020). [arXiv]
  4. Z. M. Boyd, N. Fraiman, J. L. Marzuola, P. J. Mucha, B. Osting, and J. Weare, A metric on directed graphs and Markov chains based on hitting probabilities, submitted (2020). [arXiv]
  5. A. Yuan, J. Calder, and B. Osting, A continuum limit for the pagerank algorithm, submitted (2020). [arXiv]
  6. J. L. Marzuola, M. Rechtsman, B. Osting, and M. Bandres, Bulk soliton dynamics in bosonic topological insulators, submitted (2019). [arXiv]
  8. C.-Y. Kao, S. A. Mohammadi, and B. Osting, Linear convergence of a rearrangement method for the one-dimensional Poisson equation, to appear in Journal of Scientific Computing (2020).
  9. B. Knaeble, B. Osting, and M. Abramson, Regression Analysis of Unmeasured Confounding, Epidemiologic Methods 9 (2020) no. 1, 20190028. [link] [arXiv]
  10. B. Osting, S. Palande, and B. Wang, Spectral sparsification of simplicial complexes for clustering and label propagation, Journal of Computational Geometry 11 (2020), no. 1, 176–211. [arXiv] [link]
  11. B. Osting and B. Simanek, A maximal energy pointset configuration problem, Journal of Mathematical Analysis and Applications 485 (2020), no. 2, 123830. [link] [arXiv]
  12. B. Osting and D. Wang, A diffusion generated method for orthogonal matrix-valued fields, Mathematics of Computation 89 (2020), 515-550. [link] [arXiv]
  13. B. Osting and D. Wang, Diffusion generated methods for denoising target-valued images, AIMS Inverse Problems and Imaging 14 (2020), no. 2, 205-232. [link] [arXiv]
  14. R. Viator and B. Osting, Analyticity of Steklov eigenvalues of nearly-circular and nearly-spherical domains, Research in the Mathematical Sciences 7 (2020), no. 4. [link] [arXiv]
  15. D. Zosso and B. Osting, A Primal-Dual Optimization Strategy for Elliptic Partial Differential Equations, The Quarterly of Applied Mathematics (2020). [link]
  17. C.-Y. Kao and B. Osting, Extremal spectral gaps for periodic Schrödinger operators, ESAIM: Control, Optimisation and Calculus of Variations 25 (2019), 40. [link] [arXiv]
  18. R. Viertel and B. Osting, An approach to quad meshing based on harmonic cross-valued maps and the Ginzburg-Landau theory, SIAM Journal on Scientific Computing 41 (2019), no. 1, A452-A479. [link] [arXiv]
  19. R. Viertel, B. Osting, and M. Staten, Coarse quad layouts through robust simplification of cross field separatrix partitions, Proceedings of the 28th International Meshing Roundtable (IMR) (2019). [arXiv]
  20. D. Wang, A. Cherkaev, and B. Osting, Dynamics and stationary configurations of heterogeneous foams, PLoS ONE 14 (2019), no. 4, e0215836. [link] [arXiv]
  21. D. Wang and B. Osting, A diffusion generated method for computing Dirichlet partitions, Journal of Computational and Applied Mathematics 351 (2019), 302-316. [arXiv] [link]
  22. D. Wang, B. Osting, X.-P. Wang Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field, SIAM Journal on Multiscale Modeling & Simulation 17 (2019), no. 4, 1252–1273. [link] [arXiv]
  24. J.J. Abbott and B. Osting, Optimization of coreless electromagnets to maximize field generation for magnetic manipulation systems, IEEE Magnetics Letters 9 (2018) no. 1300104. [link] [pdf]
  25. D. N. Anderson, B. Osting, J. Vorwerk, A. C. Dorval, and C. R. Butson, Optimized programming algorithm for cylindrical and directional deep brain stimulation electrodes, Journal of Neural Engineering 15 (2018) 026005. [link]
  26. T. A. Howell, B. Osting, and J. J. Abbott, Sorting rotating micromachines by variations in their magnetic properties, Physical Review Applied 9 (2018), no. 5, 054021. [link]
  27. R. T. Keller, J. L. Marzuola, B. Osting, and M. I. Weinstein, Spectral band degeneracies of π/2-rotationally invariant periodic Schrödinger operators, SIAM Journal on Multiscale Modeling & Simulation 16 (2018), no. 4, 1684-1731. [arXiv] [link] [erratum]
  28. R. Viator and B. Osting, Steklov eigenvalues of reflection-symmetric nearly-circular planar domains, Proceedings of the Royal Society A 474 (2018), no. 2220. [link]
  30. E. Akhmetgaliyev, C.-Y. Kao, and B. Osting, Computational Methods For Extremal Steklov Problems, SIAM Journal on Control and Optimization 55 (2017), no. 2, p.1226-1240. [arXiv] [link]
  31. J. J. Abbott, J. B. Brink, and B. Osting, Computing minimum-power dipole solutions for interdipole forces using nonlinear constrained optimization with application to electromagnetic formation flight”. IEEE Robotics and Automation Letters, 2 (2017) no. 2, 1008-1014. [link]
  32. C.-Y. Kao, R. Lai, and B. Osting, Maximization of Laplace-Beltrami eigenvalues on closed Riemannian surfaces, ESAIM: Control, Optimisation and Calculus of Variations 23 (2017), no. 2, p.685-720. [arXiv] [CAM report] [link]
  33. B. Osting and J. Marzuola, Spectrally Optimized Pointset Configurations, Constructive Approximation, 46 (2017) no. 1, 1-35. [arXiv] [link]
  34. D. J. Perry, B. Osting, and R. T. Whitaker, Nyström sketches, ECML- PKDD (2017). [link]
  35. T. H. Reeb and B. Osting, Consistency of Dirichlet Partitions, SIAM Journal on Mathematical Analysis 49 (2017), no. 5, p.4251-4274. [arXiv] [link]
  36. C. H. Tan, C. Hohenegger, and B. Osting, A variational characterization of fluid sloshing with surface tension, SIAM Journal on Applied Mathematics 77 (2017), no. 3, p.995-1019. [arXiv] [link]
  37. D. Zosso, B. Osting, M. Xia and S. J. Osher, An Efficient Primal-Dual Method for the Obstacle Problem, Journal of Scientific Computing 73 (2017), no. 1, p.416-437. [CAM report] [link]
  39. B. Osting, J. Xiong, Q. Xu, Y. Yao, Analysis of Crowdsourced Sampling Strategies for HodgeRank with Sparse Random Graphs, Applied and Computational Harmonic Analysis, 41 (2016) no. 2, 540-560. [arXiv] [link]
  40. D. Zosso and B. Osting, A minimal surface criterion for graph partitioning, Inverse Problems and Imaging, 10 (2016) no. 4. [CAM report] [link] [code]
  42. B. Osting, J. Marzuola, and E. Cherkaev, An isoperimetric inequality for an integral operator on flat tori, Illinois Journal of Mathematics, 59 (2015), no. 3, 773-793. [arXiv] [link]
  43. D. Zosso, B. Osting, and S. J. Osher, A Dirichlet Energy Criterion for Graph-based Image Segmentation, IEEE Intl. Conf. Data Mining (ICDM) (2015). [CAM report]
  45. Y. van Gennip, N. Guillen, B. Osting, and A. Bertozzi, Mean curvature, threshold dynamics, and phase field theory on finite graphs, Milan J. Mathematics 82 (2014) no. 1, 3-65. [link] [arXiv] [CAM report]
  46. B. Osting, C. Brune, and S. J. Osher, Optimal data collection for informative rankings expose well-connected graphs, J. Machine Learning Research, 15 (2014), 2981-3012. [link] [arXiv] [CAM report]
  47. B. Osting and C.-Y. Kao, Minimal convex combinations of three sequential Laplace-Dirichlet eigenvalues, Applied Mathematics and Optimization, 69 (2014) no. 1, 123-139. [link] [CAM report]
  48. B. Osting, C. White, and É. Oudet, Minimal Dirichlet energy partitions for graphs, SIAM Journal on Scientific Computing, 36 (2014) no. 4, A1635–A1651. [link] [arXiv] [CAM report]
  50. D. Barrow, I. Drayer, P. Elliott, G. Gaut, and B. Osting, Ranking rankings: an empirical comparison of the predictive power of sports ranking methods, J. of Quantitative Analysis in Sports , 9 (2013) no. 2, 187-202. [link] [CAM report]
  51. B. Osting, C. Brune, and S. J. Osher, Enhanced statistical rankings via targeted data collection, JMLR, W&CP 28 (1): 489–497, (2013). [link]
  52. B. Osting, J. Darbon, and S. Osher, Statistical ranking using the l1-norm on graphs, AIMS J. Inverse Problems and Imaging, 7 (2013), no. 3, 907-926. [link] [CAM report]
  53. B. Osting and C.-Y. Kao, Minimal convex combinations of sequential Laplace-Dirichlet eigenvalues, SIAM Journal on Scientific Computing, 35 (2013), no. 3, B731-B750. [link] [CAM report]
  54. B. Osting and M. I. Weinstein, Long-lived scattering resonances and Bragg structures, SIAM Journal on Applied Mathematics, 73 (2013) no. 2, 827-852. [link] [arXiv]
  55. B. Osting and C. White, Nonnegative Matrix Factorization of Transition Matrices via Eigenvalue Optimization, NIPS OPT (2013). [pdf]
  56. A. H. Sheinfux, M. C. Rechtsman, B. Osting, J. Marzuola, and M. Segev, Soliton dynamics in a diffracting trapping potential, CLEO: QELS Fundamental Science. Optical Society of America (2013). [link]
  58. B. Osting, Bragg structure and the first spectral gap, Applied Mathematics Letters, 25 (2012), no. 11, 1926-1930. [link]
  60. H. S. Bhat and B. Osting, Kirchhoff's laws as a finite volume method for a planar Maxwell system, IEEE Transactions on Antennas and Propagation, 59 (2011) no. 10, 3772-3779. [link]
  61. H. S. Bhat and B. Osting, Two-dimensional inductor-capacitor lattice synthesis, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 30 (2011), no. 10, 1483-1492. [link]
  62. B. Osting and M. I. Weinstein, Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation, SIAM Multiscale Modeling and Simulation, 9 (2011) no. 2, 654-685. [link] [arXiv]
  64. H. S. Bhat and B. Osting, Discrete diffraction in two-dimensional transmission line metamaterials, Microwave and Optical Technology Letters, 52 (2010) no. 3, 721-725. [link]
  65. B. Osting, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues. J. Comp. Phys., 229 (2010) no. 22, 8578-8590. [link]
  66. A. Ying, B. Osting., I. C. Noyan, C. E. Murray, M. Holt, and J. Maser, Modeling kinematical x-ray diffraction excited by a coherent nanobeam, J. Applied Crystallography, 43 (2010) 587-595. [link]
  68. H. S. Bhat and B. Osting, Diffraction on the two-dimensional square lattice, SIAM Journal on Applied Mathematics, 70 (2009), no. 5, 1389–1406. [link] [code]
  69. H. S. Bhat and B. Osting, The zone boundary mode in periodic nonlinear electrical lattices, Physica D , 238 (2009), 1216–1228. [link]
  71. B. Osting and H. S. Bhat, Dispersive diffraction in a two-dimensional hexagonal transmission lattice, ISAP Conference Proceedings, Taipei, Taiwan, (2008). [pdf]
  72. H. S. Bhat and B. Osting, Thin slit diffraction in conventional and dual composite right/left-handed transmission line metamaterials, APMC Conference Proceedings, Hong Kong, (2008). [link]
  74. B. Osting, S. E. Hewitt, and J. N. Kutz, The dynamics of the optical parametric oscillator near resonance detuning, In Nonlinear Guided Waves and Their Applications, Dresden, Germany, (2005). [link]
  75. B. Osting, S. E. Hewitt, and J. N. Kutz, Stability and dynamics of transverse field structures in the optical parametric oscillator near resonance signal detuning, J. Phys. B: At. Mol. Opt. Phys., 38 (2005), 3461–3475. [link]

Other Publications

  1. K. Parker and B. Osting, Rank and score aggregation methods in competitive climbing, SIAM Undergraduate Research Online (SIURO), 11 (2018). [link]
  2. B. Osting and T. H. Reeb, Approximating Dirichlet partitions using geometric graphs, Oberwolfach Report on Nonlinear Partial Differential Equations on Graphs, (2017). [link]
  3. T. Kolokolnikov, B. Osting, and J. von Brecht, Algebraic Connectivity of Erdös-Rényi graphs near the connectivity threshold, UCLA CAM Report (2014). [CAM report]
  4. B. Osting, Spectral optimization problems controlling wave phenomena, PhD Thesis, Columbia University, (2011). [link]
  5. R. Bressler, C. Polwarth, and B. Osting, Analysis of dam failure in the Saluda river valley, UMAP, 26 (2005), no. 3, 263–278. [link] [pdf]
  6. B. Osting, Stability and dynamics of transverse field structures in the optical parametric oscillator near resonance detuning, Undergraduate Honors Thesis, University of Washington, (2005). [pdf]

Any comments, reviews, critiques, or objections are invited and should be sent to the author by e-mail.