Braxton Osting

Preprints

1. C.-Y. Kao, S.A. Mohammadi, and B. Osting, An accelerated rearrangement method for two-phase composite optimization, submitted (2026). [arXiv]

2026

1. H. Crandall, T. Schuessler, F. Belik, A. Fabregas, B.M. Stults, A. Boyadzhiev, H. Zhang, J.S. Wu, A.R. Rodan, S.P. Juraschek, R. Mukkamala, A.K. Cheung, S.G. Drakos, C. Hohenegger, B. Osting, and B. Sanchez, Cuffless hemodynamic monitoring with physics-informed machine learning models, to appear in Nature Communications (2026). [arXiv]
2. C.-Y. Kao, J. Lin, and B. Osting, Dirac points for square lattice photonic crystals, to appear in SIAM Journal on Applied Mathematics (2026).
3. C.-Y. Kao, B. Osting, C.H. Tan, and R. Viator, Extremal Steklov-Neumann eigenvalues, to appear in SIAM Journal on Control and Optimization (2026). [arXiv]
4. B. Kim and B. Osting, Layer potential methods for doubly-periodic harmonic functions, to appear in SIAM Journal on Numerical Analysis (2026). [arXiv]
5. J.L. Marzuola, M.C. Rechtsman, B. Osting, and M.A. Bandres, Bulk soliton dynamics in bosonic topological insulators, Physical Review A 113 (2026) 033519. [doi] [arXiv]

2025

1. Z.M. Boyd, N. Fraiman, J.L. Marzuola, P.J. Mucha, and B. Osting, Targeting influence in a harmonic opinion model, SIAM Journal on Applied Mathematics 85 (2025) no.5, 2075-2099. [doi] [arXiv]
2. C.-Y. Kao, J. Lin, and B. Osting, A semi-definite optimization method for maximizing the shared band gap of topological photonic crystals, Journal of Computational Physics 521 (2025) no.1, 113538. [doi] [arXiv]

2024

1. Z.M. Boyd, N. Fraiman, J.L. Marzuola, P.J. Mucha, and B. Osting, An escape time formulation for subgraph detection and partitioning of directed graphs, SIAM Journal on Matrix Analysis and Applications 45 (2024) no.1. [doi] [arXiv]
2. K. Craig, B. Osting, D. Wang, Y. Xu, Wasserstein Archetypal Analysis, Applied Mathematics and Optimization 90 (2024), no.36. [doi] [arXiv]
3. B. Knaeble, B. Osting, and P. Tshiaba, Observational causality testing, STAT 13 (2024) no.4, e70017. [doi] [arXiv]
4. R. Yoon and B. Osting, A dynamical systems based framework for dimension reduction, Communications on Applied Mathematics and Computation 6 (2024), 757–789. [doi] [arXiv]

2023

1. R. Han, B. Osting, D. Wang, and Y. Xu, Probabilistic methods for approximate archetypal analysis, Information and Inference: A Journal of the IMA 12 (2023) no.1, 466–493. [doi] [arXiv]
2. C.-Y. Kao, B. Osting, and É. Oudet, Harmonic functions on finitely-connected tori, SIAM Journal on Numerical Analysis 61 (2023), no.6. [doi] [arXiv]
3. C.-Y. Kao, B. Osting, and É. Oudet, Computational approaches for extremal geometric eigenvalue problems, Handbook of Numerical Analysis 24 (2023), 377–406. [doi]
4. C.-Y. Kao, B. Osting, and J.C. Turner, Flat tori with large Laplacian eigenvalues in dimensions up to eight, SIAM Journal on Applied Algebra and Geometry 7 (2023), no.1, 172–193. [doi] [arXiv]
5. B. Knaeble, B. Osting, and P. Tshiaba, An asymptotic threshold of sufficient randomness for causal inference, Stat 12 (2023), no.1, e609. [doi] [arXiv]
6. B. Osting, Extremal graph realizations and graph Laplacian eigenvalues, SIAM Journal on Discrete Mathematics 37 (2023), no.3. [doi] [arXiv]
7. C.H. Tan, C. Hohenegger, and B. Osting, An isoperimetric sloshing problem in a shallow container with surface tension, Applied Mathematics and Optimization 87 (2023), no.33. [doi] [arXiv]

2022

1. R. Viator and B. Osting, Steklov Eigenvalues of Nearly Spherical Domains, SIAM Journal on Control and Optimization 60 (2022), no.3, 176–211. [doi] [arXiv]
2. N. Willis, C.H. Tan, C. Hohenegger, and B. Osting, High spots for the ice-fishing problem with surface tension, SIAM Journal on Applied Mathematics 82 (2022), no.4, 1312–1335. [doi] [arXiv]
3. R. Yoon, H.S. Bhat, and B. Osting, A non-autonomous equation discovery method for time signal classification, SIAM Journal on Applied Dynamical Systems 21 (2022), no.1, 33–59. [doi] [arXiv]

2021

1. 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, SIAM Journal on Mathematics of Data Science 3 (2021), no.2, 467–493. [doi] [arXiv]
2. C.-Y. Kao, S.A. Mohammadi, and B. Osting, Linear convergence of a rearrangement method for the one-dimensional Poisson equation, Journal of Scientific Computing 86 (2021), no.6. [doi]
3. B. Osting, D. Wang, Y. Xu, and D. Zosso, Consistency of Archetypal Analysis, SIAM Journal on Mathematics of Data Science 3 (2021), no.1, 1–30. [doi] [arXiv]
4. É. Oudet, C.-Y. Kao, and B. Osting, Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems, ESAIM: Control, Optimisation and Calculus of Variations 27 (2021), 34. [doi] [arXiv]
5. A. Yuan, J. Calder, and B. Osting, A continuum limit for the pagerank algorithm, European Journal of Applied Mathematics (2021). [doi] [arXiv]
6. D. Zosso and B. Osting, A Primal-Dual Optimization Strategy for Elliptic Partial Differential Equations, The Quarterly of Applied Mathematics 79 (2021), 75–100. [doi]
7. R. Aggarwal, M. Lee, B. Osting, and H. Singh, Improving funding operations of equity-based crowdfunding platforms, Production and Operations Management (2021). [doi]

2020

1. B. Knaeble, B. Osting, and M. Abramson, Regression analysis of unmeasured confounding, Epidemiologic Methods 9 (2020) no.1, 20190028. [doi] [arXiv]
2. 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. [doi] [arXiv]
3. B. Osting and B. Simanek, A maximal energy pointset configuration problem, Journal of Mathematical Analysis and Applications 485 (2020), no.2, 123830. [doi] [arXiv]
4. B. Osting and D. Wang, A diffusion generated method for orthogonal matrix-valued fields, Mathematics of Computation 89 (2020), 515–550. [doi] [arXiv]
5. B. Osting and D. Wang, Diffusion generated methods for denoising target-valued images, AIMS Inverse Problems and Imaging 14 (2020), no.2, 205–232. [doi] [arXiv]
6. 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. [doi] [arXiv]

2019

1. C.-Y. Kao and B. Osting, Extremal spectral gaps for periodic Schrödinger operators, ESAIM: Control, Optimisation and Calculus of Variations 25 (2019), 40. [doi] [arXiv]
2. 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. [doi] [arXiv]
3. 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). [doi] [arXiv]
4. D. Wang, A. Cherkaev, and B. Osting, Dynamics and stationary configurations of heterogeneous foams, PLoS ONE 14 (2019), no.4, e0215836. [doi] [arXiv]
5. D. Wang and B. Osting, A diffusion generated method for computing Dirichlet partitions, Journal of Computational and Applied Mathematics 351 (2019), 302–316. [doi] [arXiv]
6. D. Wang, B. Osting, and 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. [doi] [arXiv]

2018

1. 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. [doi]
2. 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. [doi]
3. 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. [doi]
4. 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. [doi] [erratum] [arXiv]
5. R. Viator and B. Osting, Steklov eigenvalues of reflection-symmetric nearly-circular planar domains, Proceedings of the Royal Society A 474 (2018), no.2220. [doi]

2017

1. E. Akhmetgaliyev, C.-Y. Kao, and B. Osting, Computational methods for extremal Steklov problems, SIAM Journal on Control and Optimization 55 (2017), no.2, 1226–1240. [doi] [arXiv]
2. 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. [doi]
3. 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. [doi] [arXiv] [CAM report]
4. B. Osting and J. Marzuola, Spectrally optimized pointset configurations, Constructive Approximation 46 (2017) no.1, 1–35. [doi] [arXiv]
5. D.J. Perry, B. Osting, and R.T. Whitaker, Nyström sketches, ECML- PKDD (2017). [doi] [link]
6. T.H. Reeb and B. Osting, Consistency of Dirichlet Partitions, SIAM Journal on Mathematical Analysis 49 (2017), no.5, p.4251–4274. [doi] [arXiv]
7. 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. [doi] [arXiv]
8. 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. [doi] [CAM report]

2016

1. B. Osting, J. Xiong, Q. Xu, and Y. Yao, Analysis of Crowdsourced Sampling Strategies for HodgeRank with Sparse Random Graphs, Applied and Computational Harmonic Analysis 41 (2016) no.2, 540–560. [doi] [arXiv]
2. D. Zosso and B. Osting, A minimal surface criterion for graph partitioning, Inverse Problems and Imaging 10 (2016) no.4. [doi] [CAM report] [code]

2015

1. 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. [doi] [arXiv]
2. D. Zosso, B. Osting, and S.J. Osher, A Dirichlet Energy Criterion for Graph-based Image Segmentation, IEEE Intl. Conf. Data Mining (ICDM) (2015). [doi] [CAM report]

2014

1. Y. van Gennip, N. Guillen, B. Osting, and A. Bertozzi, Mean curvature, threshold dynamics, and phase field theory on finite graphs, Milan Journal of Mathematics 82 (2014) no.1, 3–65. [doi] [arXiv] [CAM report]
2. B. Osting, C. Brune, and S.J. Osher, Optimal data collection for informative rankings expose well-connected graphs, Journal of Machine Learning Research 15 (2014), 2981–3012. [link] [arXiv] [CAM report]
3. 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. [doi] [CAM report]
4. B. Osting, C. White, and É. Oudet, Minimal Dirichlet energy partitions for graphs, SIAM Journal on Scientific Computing 36 (2014) no.4, A1635–A1651. [doi] [arXiv] [CAM report]

2013

1. D. Barrow, I. Drayer, P. Elliott, G. Gaut, and B. Osting, Ranking rankings: an empirical comparison of the predictive power of sports ranking methods, Journal of Quantitative Analysis in Sports 9 (2013) no.2, 187–202. [doi] [CAM report]
2. B. Osting, C. Brune, and S.J. Osher, Enhanced statistical rankings via targeted data collection, JMLR, W&CP 28 (1): 489–497, (2013). [link]
3. B. Osting, J. Darbon, and S. Osher, Statistical ranking using the l1-norm on graphs, AIMS Inverse Problems and Imaging 7 (2013), no.3, 907–926. [doi] [CAM report]
4. 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. [doi] [CAM report]
5. B. Osting and M.I. Weinstein, Long-lived scattering resonances and Bragg structures, SIAM Journal on Applied Mathematics 73 (2013) no.2, 827–852. [doi] [arXiv]
6. B. Osting and C. White, Nonnegative Matrix Factorization of Transition Matrices via Eigenvalue Optimization, NIPS OPT (2013). [pdf]
7. 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). [doi]

2012

1. B. Osting, Bragg structure and the first spectral gap, Applied Mathematics Letters 25 (2012), no.11, 1926–1930. [doi]

2011

1. 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. [doi]
2. 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. [doi]
3. B. Osting and M.I. Weinstein, Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation, SIAM Journal on Multiscale Modeling & Simulation 9 (2011) no.2, 654–685. [doi] [arXiv]

2010

1. 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. [doi]
2. B. Osting, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues. Journal of Computational Physics 229 (2010) no.22, 8578–8590. [doi]
3. 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, Journal of Applied Crystallography 43 (2010) 587–595. [doi]

2009

1. H.S. Bhat and B. Osting, Diffraction on the two-dimensional square lattice, SIAM Journal on Applied Mathematics 70 (2009), no.5, 1389–1406. [doi] [code]
2. H.S. Bhat and B. Osting, The zone boundary mode in periodic nonlinear electrical lattices, Physica D 238 (2009), 1216–1228. [doi]

2008

1. B. Osting and H.S. Bhat, Dispersive diffraction in a two-dimensional hexagonal transmission lattice, ISAP Conference Proceedings Taipei, Taiwan, (2008). [doi]
2. 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). [doi]

2005

1. 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). [doi]
2. 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, Journal of Physics B: Atomic, Molecular and Optical Physics 38 (2005), 3461–3475. [doi]