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Andrea Bertozzi, Ph.D. - Publications

Affiliations: 
Applied Mathematics University of California, Los Angeles, Los Angeles, CA 
Area:
Nonlinear Partial Differential Equations, Applied Mathematics
Website:
http://www.math.ucla.edu/~bertozzi/
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58 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Parkinson C, Arnold D, Bertozzi AL, Chow YT, Osher S. Optimal human navigation in steep terrain: a Hamilton–Jacobi–Bellman approach Communications in Mathematical Sciences. 17: 227-242. DOI: 10.4310/cms.2019.v17.n1.a9  0.372
2019 Arnold DJ, Fernandez D, Jia R, Parkinson C, Tonne D, Yaniv Y, Bertozzi AL, Osher SJ. Modeling Environmental Crime in Protected Areas Using the Level Set Method Siam Journal On Applied Mathematics. 79: 802-821. DOI: 10.1137/18M1205339  0.481
2019 Wang B, Yin P, Bertozzi AL, Brantingham PJ, Osher SJ, Xin J. Deep Learning for Real-Time Crime Forecasting and Its Ternarization Chinese Annals of Mathematics, Series B. 40: 949-966. DOI: 10.1007/S11401-019-0168-Y  0.474
2017 Zhu W, Chayes V, Tiard A, Sanchez S, Dahlberg D, Bertozzi AL, Osher S, Zosso D, Kuang D. Unsupervised Classification in Hyperspectral Imagery With Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm Ieee Transactions On Geoscience and Remote Sensing. 55: 2786-2798. DOI: 10.1109/Tgrs.2017.2654486  0.452
2017 Merkurjev E, Bertozzi A, Yan X, Lerman K. Modified Cheeger and ratio cut methods using the Ginzburg–Landau functional for classification of high-dimensional data Inverse Problems. 33: 074003. DOI: 10.1088/1361-6420/33/7/074003  0.315
2016 Thomas JC, Goronzy DP, Dragomiretskiy K, Zosso D, Gilles J, Osher SJ, Bertozzi A, Weiss PS. Mapping Buried Hydrogen-Bonding Networks. Acs Nano. PMID 27096290 DOI: 10.1021/Acsnano.6B01717  0.428
2015 Bertozzi AL, Kolokolnikov T, Sun H, Uminsky D, Von Brecht J. Ring patterns and their bifurcations in a nonlocal model of biological swarms Communications in Mathematical Sciences. 13: 955-985. DOI: 10.4310/Cms.2015.V13.N4.A6  0.77
2015 Koniges A, Masters N, Fisher A, Eder D, Liu W, Anderson R, Benson D, Bertozzi A. Multi-material ALE with AMR for modeling hot plasmas and cold fragmenting materials Plasma Science and Technology. 17: 117-128. DOI: 10.1088/1009-0630/17/2/05  0.684
2015 ZIPKIN JR, SCHOENBERG FP, CORONGES K, BERTOZZI AL. Point-process models of social network interactions: Parameter estimation and missing data recovery European Journal of Applied Mathematics. DOI: 10.1017/S0956792515000492  0.75
2014 Meyer TR, Ziegler D, Brune C, Chen A, Farnham R, Huynh N, Chang JM, Bertozzi AL, Ashby PD. Height drift correction in non-raster atomic force microscopy. Ultramicroscopy. 137: 48-54. PMID 24295799 DOI: 10.1016/J.Ultramic.2013.10.014  0.483
2014 Zipkin JR, Short MB, Bertozzi AL. Cops on the dots in a mathematical model of urban crime and police response Discrete and Continuous Dynamical Systems - Series B. 19: 1479-1506. DOI: 10.3934/Dcdsb.2014.19.1479  0.734
2014 von Brecht JH, Sudakov B, Bertozzi AL. Swarming on Random Graphs II Journal of Statistical Physics. 1-36. DOI: 10.1007/S10955-014-0923-0  0.756
2014 Micheli M, Lou Y, Soatto S, Bertozzi AL. A linear systems approach to imaging through turbulence Journal of Mathematical Imaging and Vision. 48: 185-201. DOI: 10.1007/S10851-012-0410-7  0.495
2013 Lou Y, Kang SH, Soatto S, Bertozzi AL. Video stabilization of atmospheric turbulence distortion Inverse Problems and Imaging. 7: 839-861. DOI: 10.3934/Ipi.2013.7.839  0.451
2013 Hegemann RA, Lewis EA, Bertozzi AL. An “Estimate & Score Algorithm” for simultaneous parameter estimation and reconstruction of incomplete data on social networks Security Informatics. 2. DOI: 10.1186/2190-8532-2-1  0.746
2013 Merkurjev E, Kostić T, Bertozzi AL. An MBO scheme on graphs for classification and image processing Siam Journal On Imaging Sciences. 6: 1903-1930. DOI: 10.1137/120886935  0.594
2013 Dobrosotskaya JA, Bertozzi AL. Analysis of the wavelet Ginzburg-Landau energy in image applications with edges Siam Journal On Imaging Sciences. 6: 698-729. DOI: 10.1137/100812859  0.743
2013 Ziegler D, Nievergelt A, Benard A, Meyer T, Brune C, Lou Y, Bertozzi A, Ashby P. Spiral Scanning and Encased Cantilevers for High Spatial and Temporal Resolution in Atomic Force Microscopy Biophysical Journal. 104: 512a. DOI: 10.1016/J.Bpj.2012.11.2828  0.499
2013 von Brecht J, Kolokolnikov T, Bertozzi AL, Sun H. Swarming on Random Graphs Journal of Statistical Physics. 151: 150-173. DOI: 10.1007/S10955-012-0680-X  0.309
2013 Kostić T, Bertozzi A. Statistical density estimation using threshold dynamics for geometric motion Journal of Scientific Computing. 54: 513-530. DOI: 10.1007/S10915-012-9615-6  0.614
2013 von Brecht JH, Bertozzi AL. Well-Posedness Theory for Aggregation Sheets Communications in Mathematical Physics. 319: 451-477. DOI: 10.1007/s00220-012-1634-5  0.716
2012 Liu W, Bertozzi A, Kolokolnikov H. Diffuse interface surface tension models in an expanding flow Communications in Mathematical Sciences. 10: 387-418. DOI: 10.4310/Cms.2012.V10.N1.A16  0.707
2012 Huang Y, Bertozzi A. Asymptotics of blowup solutions for the aggregation equation Discrete and Continuous Dynamical Systems - Series B. 17: 1309-1331. DOI: 10.3934/Dcdsb.2012.17.1309  0.715
2012 Smith LM, Bertozzi AL, Brantingham PJ, Tita GE, Valasik M. Adaptation of an ecological territorial model to street gang spatial patterns in los angeles Discrete and Continuous Dynamical Systems. 32: 3223-3244. DOI: 10.3934/Dcds.2012.32.3223  0.49
2012 Von Brecht JH, Uminsky D, Kolokolnikov T, Bertozzi AL. Predicting pattern formation in particle interactions Mathematical Models and Methods in Applied Sciences. 22. DOI: 10.1142/S0218202511400021  0.755
2012 Sun H, Uminsky D, Bertozzi AL. A generalized birkhoff-rott equation for two-dimensional active scalar problems Siam Journal On Applied Mathematics. 72: 382-404. DOI: 10.1137/110819883  0.356
2012 Lewis E, Mohler G, Brantingham PJ, Bertozzi AL. Self-exciting point process models of civilian deaths in Iraq Security Journal. 25: 244-264. DOI: 10.1057/Sj.2011.21  0.512
2012 Ashby P, Ziegler D, Frank A, Frank S, Chen A, Meyer T, Farnham R, Huynh N, Rangelow I, Chang J, Bertozzi A. Encased Cantilevers and Alternative Scan Algorithms for Ultra-Gantle High Speed Atomic Force Microscopy Biophysical Journal. 102: 586a. DOI: 10.1016/J.Bpj.2011.11.3193  0.532
2012 Huang Y, Witelski TP, Bertozzi AL. Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions Applied Mathematics Letters. 25: 2317-2321. DOI: 10.1016/J.Aml.2012.06.023  0.717
2011 Kolokolnikov T, Sun H, Uminsky D, Bertozzi AL. Stability of ring patterns arising from two-dimensional particle interactions. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 015203. PMID 21867246 DOI: 10.1103/Physreve.84.015203  0.329
2011 Schönlieb' CB, Bertozzi A. Unconditionally stable schemes for higher order inpainting Communications in Mathematical Sciences. 9: 413-457. DOI: 10.4310/Cms.2011.V9.N2.A4  0.307
2011 Bertozzi AL, Ju N, Lu HW. A biharmonic-modified forward time stepping method for fourth order nonlinear diffusion equations Discrete and Continuous Dynamical Systems. 29: 1367-1391. DOI: 10.3934/Dcds.2011.29.1367  0.5
2011 Mohler GO, Bertozzi AL, Goldstein TA, Osher SJ. Fast TV regularization for 2D maximum penalized likelihood estimation Journal of Computational and Graphical Statistics. 20: 479-491. DOI: 10.1198/Jcgs.2010.09048  0.469
2011 Gao W, Bertozzi A. Level set based multispectral segmentation with corners Siam Journal On Imaging Sciences. 4: 597-617. DOI: 10.1137/100799538  0.513
2011 Chen A, Wittman T, Tartakovsky AG, Bertozzi AL. Efficient boundary tracking through sampling Applied Mathematics Research Express. 2011: 182-214. DOI: 10.1093/Amrx/Abr002  0.488
2011 Bedrossian J, Rodríguez N, Bertozzi AL. Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion Nonlinearity. 24: 1683-1714. DOI: 10.1088/0951-7715/24/6/001  0.681
2011 Stomakhin A, Short MB, Bertozzi AL. Reconstruction of missing data in social networks based on temporal patterns of interactions Inverse Problems. 27. DOI: 10.1088/0266-5611/27/11/115013  0.768
2011 Murisic N, Ho J, Hu V, Latterman P, Koch T, Lin K, Mata M, Bertozzi AL. Particle-laden viscous thin-film flows on an incline: Experiments compared with a theory based on shear-induced migration and particle settling Physica D: Nonlinear Phenomena. 240: 1661-1673. DOI: 10.1016/J.Physd.2011.05.021  0.769
2011 Hegemann RA, Smith LM, Barbaro ABT, Bertozzi AL, Reid SE, Tita GE. Geographical influences of an emerging network of gang rivalries Physica a: Statistical Mechanics and Its Applications. 390: 3894-3914. DOI: 10.1016/J.Physa.2011.05.040  0.746
2011 Mata MR, Bertozzi AL. A numerical scheme for particle-laden thin film flow in two dimensions Journal of Computational Physics. 230: 6334-6353. DOI: 10.1016/J.Jcp.2011.04.029  0.771
2011 Lou Y, Bertozzi AL, Soatto S. Direct sparse deblurring Journal of Mathematical Imaging and Vision. 39: 1-12. DOI: 10.1007/S10851-010-0220-8  0.475
2010 Dobrosotskaya JA, Bertozzi AL. Wavelet analogue of the Ginzburg-Landau energy and its Γ-convergence Interfaces and Free Boundaries. 12: 497-525. DOI: 10.4171/Ifb/243  0.746
2010 Smith LM, Keegan MS, Wittman T, Mohler GO, Bertozzi AL. Improving density estimation by incorporating spatial information Eurasip Journal On Advances in Signal Processing. 2010. DOI: 10.1155/2010/265631  0.438
2010 Rodriguez N, Bertozzi A. Local existence and uniqueness of solutions to a PDE model for criminal behavior Mathematical Models and Methods in Applied Sciences. 20: 1425-1457. DOI: 10.1142/S0218202510004696  0.591
2010 Huang Y, Bertozzi AL. Self-similar blowup solutions to an aggregation equation in Rn Siam Journal On Applied Mathematics. 70: 2582-2603. DOI: 10.1137/090774495  0.713
2010 Droske M, Bertozzi A. Higher-order feature-preserving geometric regularization Siam Journal On Imaging Sciences. 3: 21-51. DOI: 10.1137/090751694  0.317
2010 Eder DC, Anderson RW, Bailey DS, Bell P, Benson DJ, Bertozzi AL, Bittle W, Bradley D, Brown CG, Clancy TJ, Chen H, Chevalier JM, Combis P, Dauffy L, Debonnel CS, et al. Assessment and mitigation of radiation, EMP, debris & shrapnel impacts at megajoule-class laser facilities Journal of Physics: Conference Series. 244. DOI: 10.1088/1742-6596/244/3/032018  0.365
2010 Lou Y, Zhang X, Osher S, Bertozzi A. Image recovery via nonlocal operators Journal of Scientific Computing. 42: 185-197. DOI: 10.1007/S10915-009-9320-2  0.631
2010 Grunewald N, Levy R, Mata M, Ward T, Bertozzi AL. Self-similarity in particle-laden flows at constant volume Journal of Engineering Mathematics. 66: 53-63. DOI: 10.1007/S10665-009-9345-4  0.776
2009 Cook B, Alexandrov O, Bertozzi A. Linear stability of particle-laden thin films European Physical Journal: Special Topics. 166: 77-81. DOI: 10.1140/Epjst/E2009-00882-2  0.662
2008 Dobrosotskaya JA, Bertozzi AL. A wavelet-laplace variational technique for image deconvolution and inpainting. Ieee Transactions On Image Processing : a Publication of the Ieee Signal Processing Society. 17: 657-63. PMID 18390372 DOI: 10.1109/TIP.2008.919367  0.737
2008 Lu HW, Bottausci F, Fowler JD, Bertozzi AL, Meinhart C, Kim CJ. A study of EWOD-driven droplets by PIV investigation. Lab On a Chip. 8: 456-61. PMID 18305865 DOI: 10.1039/B717141B  0.477
2007 Bertozzi AL, Esedoglu S, Gillette A. Inpainting of binary images using the Cahn-Hilliard equation. Ieee Transactions On Image Processing : a Publication of the Ieee Signal Processing Society. 16: 285-91. PMID 17283787 DOI: 10.1109/Tip.2006.887728  0.62
2007 Cook BP, Bertozzi AL, Hosoi AE. Shock solutions for particle-laden thin films Siam Journal On Applied Mathematics. 68: 760-783. DOI: 10.1137/060677811  0.644
2007 Bertozzi A, Esedoǧlu S, Gillette A. Analysis of a two-scale Cahn-Hilliard model for binary image inpainting Multiscale Modeling and Simulation. 6: 913-936. DOI: 10.1137/060660631  0.672
2007 Lu HW, Glasner K, Bertozzi AL, Kim CJ. A diffuse-interface model for electrowetting drops in a Hele-Shaw cell Journal of Fluid Mechanics. 590: 411-435. DOI: 10.1017/S0022112007008154  0.419
2001 Diez JA, Kondic L, Bertozzi A. Global models for moving contact lines. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 63: 011208. PMID 11304247 DOI: 10.1103/Physreve.63.011208  0.315
1996 Almgren R, Bertozzi A, Brenner MP. Stable and unstable singularities in the unforced Hele-Shaw cell Physics of Fluids. 8: 1356-1370. DOI: 10.1063/1.868915  0.301
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