Publications of Andrea L Bertozzi
Link to my publications on Google Scholar
Link to publications in ORCID
Link to my publications in Publons
Link to publications on MathSciNet - requires database access and only includes about 2/3 of my papers, those that are the most mathematical
Books
- Andrew J. Majda and Andrea L. Bertozzi, Vorticity and Incompressible Flow,
Cambridge Univ. Press, 2002.
[link to google books].
Papers Submitted
Papers Accepted
- Wing Pok Lee, Jonathan D. Woo, Luke F. Triplett, Yifan Gua, Sarah C. Burnett, Lingyun Ding, Andrea L. Bertozzi, A comparative study of dynamic models for gravity-driven particle-laden flows, accepted to applied math letters, 2024., see also https://arxiv.org/abs/2410.23561
Papers Published (reverse chronological order)
- Xia Li, Andrea L. Bertozzi, P. Jeffrey Brantingham, Yevgeniy
Vorobeychik, Optimal cost policy restriction using the SIR model, Networks and Heterogeneous Media, 19(2), 2024, pp. 867-886, DOI 10.3934/nhm.2024039
- B Chen, K Miller, AL Bertozzi, J Schwenk,
CGAP: A hybrid contrastive and graph-based active learning pipeline to detect water and sediment in multispectral images , IEEE JSTARS, early access; DOI: 10.1109/JSTARS.2024.3493073, 2024.
- Xinyi Leng, Jason Liang, Jack Mauro, Xu Wang, James Chapman, Andrea
Bertozzi, Junyuan Lin, Bohan Chen, Chenchen Ye, Temple Daniel, and P.
Jeffrey Brantingham. 2024. Narrative Analysis of True Crime Podcasts With
Knowledge Graph-Augmented Large Language Models. Proceedings of
ACM Conference (CIKM 2024 GTA3-2024 Workshop). ACM, New York, NY, USA.
https://arxiv.org/abs/2411.02435
- Yurun Ge, Dominic Yang, and Andrea L. Bertozzi, Iterative active learning strategies for subgraph matching, Pattern Recognition, Volume 158, February 2025, 110797, https://doi.org/10.1016/j.patcog.2024.110797
- J. Brown, A. Arnheim, A. Bertozzi and D. Carlo, Detection and Segmentation Of Shape-Coded Particles Via Hough Transforms and Snake Active Contours, in 2024 IEEE Southwest Symposium on Image Analysis and Interpretation (SSIAI), Santa Fe, NM, USA, 2024 pp. 85-88.
doi: 10.1109/SSIAI59505.2024.10508613
- Kevin Miller and Andrea L. Bertozzi,
Model-Change Active Learning in Graph-Based Semi-Supervised Learning, Communications on Applied Mathematics and Computation, open access 2024.
- Shih-Hsin Wang, Yung-Chang Hsu, Justin Baker, Andrea Bertozzi, Jack Xin and Bao Wang,
Rethinking the benefits of Steerable Features in 3D Equivariant Graph Neural Networks, The International Conference on Learning Representations (ICLR), 2024.
- Jason Brown, Bohan Chen, Harris Hardiman-Mostow, Adrien Weihs, Andrea Bertozzi and Jocelyn Chanussot, Material Identification in Complex Environments: Neural Network Approaches to Hyperspectral Image Analysis, 2023 13th Workshop on Hyperspectral Imaging and Signal Processing: Evolution in Remote Sensing (WHISPERS), Athens, Greece, 2023, pp. 1-5, doi: 10.1109/WHISPERS61460.2023.10431067.
- B. Chen and A. L. Bertozzi,
AutoKG: Efficient Automated Knowledge Graph Generation for Language Models, 2023 IEEE International Conference on Big Data (BigData), Sorrento, Italy, 2023, pp. 3117-3126, doi: 10.1109/BigData59044.2023.10386454.
- Malvina Bozhidarova, Jonathn Chang, Aaishah Ale-Rasool, Yuxiang Liu, Chongyao Ma, Andrea Bertozzi, Jeffrey Brantingham, Junyuan Lin, and Sanjukta Krishnagopal, Hate speech and hate crimes: a data-driven study of evolving discourse around marginalized groups, 2023 IEEE International Conference on Big Data (BigData), Sorrento, Italy, 2023, pp. 3107-3116, doi: 10.1109/BigData59044.2023.10386312.
- H. Jia, H. Li, X. Li, X. Shen, Y. Wang, Z. Liao, A.L. B ertozzi, P. J. Brantingham, and J. Lelmi, Intentional Youth Development Activities and Peer Effects in a Gang Prevention Program, 2023 IEEE International Conference on Big Data (BigData), Sorrento, Italy, 2023, pp. 4166-4175, doi: 10.1109/BigData59044.2023.10386512.
- Eric Hester, Sean Carney, Vishwesh Shah, Alyssa Arnjeim, Bena Patel, Dino Di Carlo and Andrea L. Bertozzi, Fluid dynamics alters liquid-liquid phase separation in confined aqueous two-phase systems, Proc. Nat. Acad. Sci., Vol. 120 No. 49, e2306467120, 2023.
- Bohyun Kim, Hangjie Ji, Andrea L. Bertozzi, Abolfazl Sadeghpour, Y. Sungtaek Ju, A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber, J. Comp. Phys., Volume 496, 1 January 2024, 112560.
- Bohan Chen, Kevin Miller, Andrea Bertozzi, Jon Schwenk,
Graph-Based Active Learning for Surface Water and Sediment Detection in Multispectral Images, IGARSS 2023 - 2023 IEEE International Geoscience and Remote Sensing Symposium, Pasadena, CA, USA, 2023, pp. 5431-5434, doi: 10.1109/IGARSS52108.2023.10282009.
- Joel Barnett, Andrea Bertozzi, Luminita Vese, Igor Yanovsky,
Incorporating texture features into optical flow for atmospheric wind velocity estimation,
IGARSS 2023 - 2023 IEEE International Geoscience and Remote Sensing Symposium, pp. 3784-3787, doi: 10.1109/IGARSS52108.2023.10283045
- Shiba Biswal, Hangjie Ji, Karthik Elamvazhuthi, and Andrea L. Bertozzi, Optimal Boundary Control of a Model Thin-Film Equation, Physica D, 133942, 2023
- Bohan Chen, Yifei Lou, Andrea L. Bertozzi, Jocelyn Chanussot,
Graph-based Active Learning for Nearly Blind Hyperspectral Unmixing, IEEE Trans. Geosci. Remote Sensing, 2023.
- Bohan Chen, Kevin Miller, Andrea L. Bertozzi, and Jon Schwenk,
Batch active learning for multispectral and hyperspectral image segmentation using similarity graphs, Communications on Applied Mathematics and Computation, 2023.
- Weiqi Chu, Hangjie Ji, Qining Wang, Chang-Jin Kim, and Andrea L. Bertozzi, An electro-hydrodynamics modeling of droplet actuation on solid surface by surfactant-mediated
electro-dewetting , Phys. Rev. Fluids, 8, 073701, Published 21 July 2023.
- Dominic Yang, Yurun Ge, Thien Nguyen, Denali Molitor, Jacob Moorman, and Andrea Bertozzi,
Structural Equivalence in Subgraph Matching, IEEE Trans. Net. Sci. Eng., 10(4), pp. 1846 - 1862, 2023, ArXiv preprint.
- Joel R. Barnett, Andrea Bertozzi, Luminita A. Vese, and Igor Yanovsky,
Texture-based optical flow for wind velocity estimation from water vapor data, Proc. SPIE 12543, Ocean Sensing and Monitoring XV, 125430H (12 June 2023)
- Jason Brown, Riley O'Neill, Jeff Calder, and Andrea L. Bertozzi,
Utilizing contrastive learning for graph-based active learning of SAR data,
Proc. SPIE 12520, Algorithms for Synthetic Aperture Radar Imagery XXX, 125200I (13 June 2023)
- James Chapman, Bohan Chen, Zheng Tan, Jeff Calder, Kevin Miller, Andrea L. Bertozzi,
Novel batch active learning approach and its application on the synthetic aperture radar datasets,
Proc. SPIE 12520, Algorithms for Synthetic Aperture Radar Imagery XXX, 125200B (13 June 2023), awarded best student paper
- Joshua Enwright, Harris Hardiman-Mostow, Jeff Calder, Andrea Bertozzi,
Deep semi-supervised label propagation for SAR image classification,
Proc. SPIE 12520, Algorithms for Synthetic Aperture Radar Imagery XXX, 125200G (13 June 2023)
- H. Lee, A. Saeed and A. L. Bertozzi, Active Learning of non-Semantic Speech Tasks with Pretrained models, ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, 2023, pp. 1-5, doi: 10.1109/ICASSP49357.2023.10096465.
- Tan Minh Nguyen, Tam Minh Nguyen, Nhat Ho, Andrea L. Bertozzi, Richard Baraniuk, Stanley Osher, A Primal-Dual Framework for Transformers and Neural Networks, ICLR 2023, notable top 25% paper.
- Marc Andrew Choi, Siyu Huang, Hengyuan Qi, Marco Scialanga, Emerson McMullen, Axel Sanchez Moreno, Yifei Lou, Andrea L. Bertozzi, and P. Jeffrey Brantingham, Combining Dynamic Mode Decomposition and Difference-in-Differences in an Analysis of At-Risk Youth, 2022 IEEE International Conference on Big Data Workshop on Data science for equality, inclusion and well-being challenges, 2022.
- Clay Adams, Malvina, Bozhidarova, James Chen, Andrew Gao, Zhengtong Liu, J. Hunter Priniski, Junyuan Lin, Rishi Sonthalia, Andrea L. Bertozzi, and P. Jeffrey Brantingham, Knowledge Graphs of the QAnon Twitter Network,
Graph Techniques for Adversarial Activity Analytics (GTA3) workshop in IEEE BIG DATA, 2022.
- Jiaoying Ren, Karina Santoso, David Hyde, Andrea Bertozzi,
P. Jeffrey Brantingham,
The Pandemic did not Interrupt LA's Violence Interrupters,
Journal of Aggression, Conflict and Peace Research, 2022. DOI 10.1108/JACPR-10-2022-0745
- Marcelo Bongarti, Luke Diego Galvan, Lawford Hatcher, Michael R. Lindstrom, Christian Parkinson, Chuntian Wang, Andrea L. Bertozzi,
Alternative SIAR models for infectious diseases and applications in the
study of non-compliance, Mathematical Models and Methods in Applied Sciences, Special Issue "Mathematics Towards COVID19 and Pandemic in a Globally Connected World", 2022.
- Bohan Chen, Pujan Shrestha, Andrea L. Bertozzi, George Mohler,
and Frederic Schoenberg,
A Novel Point Process Model for COVID-19: Multivariate Recursive
Hawkes Process,
Modeling and Simulation in Science, Engineering, and Technology, Predicting Pandemics in a Globally Connected World, Volume 1, pp. 141-182, Birkhauser-Springer, New York, USA, Nicola Bellomo and Mark A.J. Chaplain editors.
- Yifan Hua, Kevin Miller, Andrea L. Bertozzi, Chen Qian, and Bao Wang, Efficient and Reliable Overlay Networks for Decentralized Federated Learning, SIAM J. Appl. Math., 82(4), 2022, pp. 1558-1586. ArXiv preprint version.
- Bao Wang, Tan M. Nguyen, Andrea L. Bertozzi, Richard G. Baraniuk, Stanley J. Osher, Scheduled Restart Momentum for Accelerated
Stochastic Gradient Descent , SIAM J. Imag. Sci. 15(2), pp. 738-761, 2022
- Hangjie Ji, Kyle Lafata, Yvonne Mowery, David Brizel, Andrea L. Bertozzi, Fang-Fang Yin, Chunhao Wang,
Post-Radiotherapy PET Image Outcome Prediction by Deep Learning under Biological Model Guidance: A Feasibility Study of Oropharyngeal Cancer Application, Frontiers in Oncology, Radiation Oncology, May 13, 2022.
ArXiv preprint.
- Karthik Elamvazhuthi, Bahman Gharesifard, Andrea L. Bertozzi, and Stanley Osher, Neural ODE Control for Trajectory Approximation of Continuity Equation IEEE Control Systems Letters, Volume 6, pp. 3152-3157, 2022. DOI: 10.1109/LCSYS.2022.3182284.
- Harlin Lee, Andrea Bertozzi, Jelena Kovacevic, Yuejie Chi,
Privacy-preserving federated multi-task linear regression: a one-shot linear mixing approach inspired by graph regularization, ICASSP 2022 - IEEE International Conference on Acoustics, Speech and Signal Processing, 2022, DOI: 10.1109/ICASSP43922.2022.9746007.
- Matthew Thorpe, Tan Nguyen, Hedi Xia, Thomas Strohmer, Andrea L. Bertozzi, Stanley J. Osher, and Bao Wang, , GRAND++: Graph Neural Diffusion with a Source Term, International Conference on Learning Representations (ICLR), 2022.
- Kyung Ha, Joseph de Rutte, Dino Di Carlo, and Andrea Bertozzi,
Surface energy minimizing configurations for axisymmetric microparticles, J. Eng. Math, 134 (2), 2022.
- Kevin Miller, John Mauro, Jason Setiadi, Xoaquin Baca, Zhan Shi, Jeff Calder, and Andrea L. Bertozzi, Graph-based Active Learning for Semi-supervised
Classification of SAR Data, SPIE Defense and Commercial Sensing, 2022,
preprint version.
- Joseph de Rutte, Robert Dimatteo, Maani M Archang , Mark van Zee, Doyeon Koo, Sohyung Lee, Allison C. Sharrow, Patrick J. Krohl, Michael P. Mellody, Sheldon Zhu, James Eichenbaum, Monika Kizerwetter, Shreya Udani, Kyung Ha, Richard C. Willson, Andrea L. Bertozzi, Jamie B. Spangler, Robert Damoiseaux and Dino Di Carlo, Suspendable hydrogel nanovials for massively parallel single-cell functional analysis and sorting, ACS Nano, 16, 5, 7242-7257, 2022.
- Xia Li, Chuntian Wang, Hao Li, and Andrea L. Bertozzi, A martingale formulation for Stochastic Compartmental Susceptible-Infected-Resistant (SIR) Models to analyze finite size effects in COVID-19 Case Studies, Networks and Heterogeneous Media, 17(3) 311-331,2022, doi: 10.3934/nhm.2022009.
- Kyung Ha, Brendan Harding, Andrea L. Bertozzi, and Yvonne M. Stokes, Dynamics of small particle inertial migration in curved square ducts, SIADS, 21(1), pp. 714-734, 2022. Author reprint
- Kristopher K. Barr, Naihao Chiang, Andrea L. Bertozzi,
Jerome Gilles, Stanley J. Osher, and Paul S. Weiss,
Extraction of Hidden Science from Nanoscale Images,
Journal of Physical Chemistry C, 126(1) 3-13, 2022,
virtual special issue W. E. Moerner Festschrift
- Yurun Ge and Andrea L. Bertozzi, Active Learning for the Subgraph Matching Problem, GTA3 workshop, IEEE BIG DATA conference, pp. 2641-2649, 2021.
- D. Flocco, B. Palmer-Toy, R. Wang, H. Zhu, R. Sonthalia, J. Lin, A. L. Bertozzi, and P. J. Brantingham, An Analysis of COVID-19 Knowledge Graph Construction and Applications, GTA3 workshop, IEEE BIG DATA conference, p. 2631-2640, 2021.
- Kaiyan Peng, Zheng Lu, Vanessa Lin, Michael R. Lindstrom, Christian Parkinson, Chuntian Wang, Andrea L. Bertozzi, Mason A. Porter,
A Multilayer Network Model of the Coevolution of the Spread of a
Disease and Competing Opinions , M3AS 31(12) pp. 2455-2494, 2021,
preprint version.
- Hedi Xia, Vai Suliafu, Hangjie Ji, Tan Minh Nguyen, Andrea Bertozzi, Stanley Osher, Bao Wang, Heavy Ball Neural Ordinary Differential Equations, Neurips 2021.
- Hannah Dröge, Baichuan Yuan, Rafael Llerena, Jesse Yen, Michael Moeller, Andrea L. Bertozzi, Mitral Valve Segmentation using Robust Nonnegative Matrix Factorization, J. Imaging, 7(10), 213, special issue on Inverse Problems and Imaging, 2021.
- Erfan Sedighi, Zezhi Zeng, Abolfazl Sadeghpour, Hangjiei Ji, Y. Sungtaek Ju, Andrea L. Bertozzi, Capillary-Driven Rise of Well-Wetting Liquid on the Outer Surface of Cylindrical Nozzles, Langmuir, 37, 35, 2021, pp. 10413-10423.
- Andrea L. Bertozzi, Bamdad Hosseini, Hao Li, Kevin Miller, Andrew M. Stuart, Posterior Consistency of Semi-Supervised Regression on Graphs, Inverse Problems, 37(10), 105011, 2021.
ArXiv preprint.
- Ryan Shijie Du, Lily Liu, Simon Ng, Sneha Sambandam, Bernardo Hernandez Adame, Hansell Perez, Kyung Ha, Claudia Falcon, Joseph de Rutte, Dino Di Carlo, and Andrea L. Bertozzi, Statistical Energy Minimization Theory for Systems of Drop-Carrier Particles, Phys Rev. E, 104, 015109, 2021
- B. Chen, K. Peng, C. Parkinson, A. L. Bertozzi, T. L. Slough, and J. Urpelainen, Modeling illegal logging in Brazil, Research in the Mathematical Sciences 8(29), 2021, preprint version.
- Hangjie Ji, Claudia Falcon, Erfan Sedighi, Abolfazl Sadeghpour, Sungtaek Ju, and A. L. Bertozzi, Thermally-driven coalescence in thin liquid film flowing down a fibre, J. Fluid Mech, 916, A19-1-22, 2021.
- C. Wang, Y. Zhang, A. L. Bertozzi, and M. B. Short, A stochastic-Statistical Residential Burglary Model with Independent Poisson Clocks, Eur. J. Appl. Math., v. 32, pp. 32-58, 2021.
- Jing Qin, Harlin Lee, Jocelyn T. Chi, Lucas Drumetz, Jocelyn Chanussot, Yifei Lou, and Andrea L. Bertozzi, Blind Hyperspectral Unmixing Based on Graph Total Variation Regularization, IEEE Trans. Geosci. Remote Sensing, 59(4), pp. 3338-3351, 2021.
- J. Park, F. P. Schoenberg, A. L. Bertozzi, P. J. Brantingham,
Investigating clustering and violence
interruption in gang-related violent crime data using
spatial-temporal point processes with covariates, JASA, 116(536), 1674-1687, 2021.
- Hao Li, Honglin Chen, Matt Haberland, Andrea L. Bertozzi, and P. Jeffrey Brantingham, PDEs on graphs for semi-supervised learning applied to first-person activity recognition in body worn video, DCDS, 41(9):4351-4373, 2021.
- Moorman, Jacob; Tu, Thomas; Chen, Qinyi; He, Xie; Bertozzi, Andrea,
Subgraph Matching on Multiplex Networks, IEEE Trans. Network Sci. and Engineering, 8(2), pp. 1367-1384, 2021, preprint version.
- Dinh T., Wang B., Bertozzi A., Osher S., Xin J. (2020)
Sparsity Meets Robustness: Channel Pruning for the Feynman-Kac Formalism Principled Robust Deep Neural Nets. In: Nicosia G. et al. (eds) Machine Learning, Optimization, and Data Science. LOD 2020. Lecture Notes in Computer Science, vol 12566. Springer, Cham. https://doi.org/10.1007/978-3-030-64580-9_31,
preprint version .
- Abolfazl Sadeghpour, Farzan Oroumiyeh, Yifang Zhu, Danny D. Ko, Hangjie Ji, Andrea L. Bertozzi, Y. Sungtaek Ju,
Experimental study of a string-based counterflow wet electrostatic precipitator for collection of fine and ultrafine particles,
J. Air and Waste Management Assoc., 71(7), pp. 851-865, 2021.
- Baichuan Yuan, Frederic P. Schoenberg , Andrea L. Bertozzi,
Fast Estimation of Multivariate Spatiotemporal Hawkes Processes and Network Reconstruction, Annals of the Institute of Statistical Mathematics, 73, 1127-1152, 2021.
- Bao Wang, Alex Lin, Penghang Yin, Wei Zhu, Andrea L. Bertozzi and
Stanley Osher, Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training,
Inverse Problems and Imaging, 15(1), pp. 129-145, 2021, preprint version.
- Geoffrey Iyer, Jocelyn Chanussot, and Andrea L. Bertozzi, A Graph-Based Approach for Data Extraction and Segmentation of Multimodal Images, IEEE Trans. Goesciences and Remote Sensing, 59(5), pp. 4419-4429, 2021. DOI: 10.1109/TGRS.2020.2971395.
- Christian Parkinson, Andrea L. Bertozzi, Stanley Osher,
A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles, Proc. of the 59th IEEE Conf. on Decision and Control (CDC), Jeju Island, Republic of Korea, 2020, pp. 4073-4078.
- Ruofei Wu, Chenxin Yang, David Hyde, Andrea L. Bertozzi and P. Jeffrey Brantingham, Emotion Classification and Textual Clustering Techniques for Gang Intervention Data, workshop on Data Science for Smart and Connected Communities, Proc. Proc. IEEE International Conference on BIG DATA, pp. 3246-3254, 2020. final submitted version.
- Sian Wen, Andy Chen, Tanishq Bhatia, Nicholas Liskij, David Hyde, Andrea L. Bertozzi, and P. Jeffrey Brantingham, Analyzing Effectiveness of Gang Interventions using Koopman Operator Theory, workshop on Data Science for Smart and Connected Communities, Proc. IEEE International Conference on BIG DATA, pp. 3237-3245, 2020. final submitted.
- Thomas K. Tu, Jacob D. Moorman, Dominic Yang, Qinyi Chen, and Andrea L. Bertozzi, Inexact Attributed Subgraph Matching, Graph Techniques for Adversarial Activity Analytics (GTA3 4.0) workshop, Proc. 2020 IEEE International Conference on BIG DATA, pp. 2575-2582. final submitted
- Mariam Alaverdian, William Gilroy, Veronica Kirgios, Xia Li, Carolina Matuk, Daniel McKenzie, Tachin Ruangkriengsin, Andrea L. Bertozzi, and P. Jeffrey Brantingham, Who killed Lilly Kane? A case study in applying knowledge graphs to crime fiction, Graph Techniques for Adversarial Activity Analytics (GTA3 4.0) workshop, Proc. 2020 IEEE International Conference on BIGDATA, pp. 2506-2512. final submitted
- Tan M Nguyen, Richard G Baraniuk, Andrea L Bertozzi, Stanley J Osher, Bao Wang, MomentumRNN: Integrating Momentum into Recurrent Neural Networks, 34th Conference on Neural Information Processing Systems (NeurIPS 2020), Vancouver, Canada 2020.
- Chueh-Yu Wu, Bao Wang, Joseph de Rutte, Alexis Joo, Matthew Jacobs, Kyung Ha, Andrea L. Bertozzi, Dino Di Carlo, Monodisperse emulsions templated by 3D-structured microparticles, Science Advances, 6(45), eabb9023, Nov. 4, 2020
- H. Ji, A. Sadeghpour, Y. S. Ju, and A. L. Bertozzi,
Modeling film flows down a fibre influenced by nozzle geometry, J. Fluid Mech., 901, online publication 2020, preprint version.
- Michael Lindstrom, Andrea L. Bertozzi, Qualitative Features of a Nonlinear, Nonlocal Agent-Based PDE Model with Applications to Homelessness,
Mathematical Models and Methods in the Applied Sciences, 2020
- C. Parkinson, D. Arnold, A. L. Bertozzi, and S. J. Osher,
A Model for Optimal Human Navigation with Stochastic Effects, SIAM J. Appl. Math., 80(4), 1862-1881, 2020. ArXiv preprint version.
- Kevin Miller, Hao Li, and Andrea L. Bertozzi, Efficient Graph-Based Active Learning with Probit Likelihood via Gaussian Approximations, Workshop on Real World Experiment Design and Active Learning, at the International Conference on Machine Learning (ICML), July 18, 2020
- Andrea L Bertozzi, Elisa Franco, George Mohler, Martin B Short, Daniel Sledge
The challenges of modeling and forecasting the spread of COVID-19, PNAS, July 21, 2020 117(29), 16732-16738, 2020.
- George Mohler, Andrea L. Bertozzi, Jeremy Carter, Martin B. Short, Daniel Sledge, George E. Tita, Craig D. Uchida, and P. Jeffrey Brantingham,
Impact of social distancing during COVID-19 pandemic on crime in Los Angeles and Indianapolis,
J. Crim. Justice, 68, May-June 2020, 101692, preprint version.
- Yonatan Dukler, Hangjie Ji, Claudia Falcon, and Andrea L. Bertozzi, Theory for undercompressive shocks in tears of wine, Phys. Rev. Fluids 5, 034002, 2020.
- Baichuan Yuan, Xiaowei Wang, Andrea Bertozzi, Hongxia Yang,
Variational Autoencoders for Highly Multivariate Spatial Point Processes Intensities, 2020 International Conference on Learning Representations (ICLR).
- Shay Deutsch, Andrea Bertozzi, and Stefano Soatto, Zero Shot Learning with the Isoperimetric Loss, Proc. Thirty-Fourth AAAI Conference on Artificial Intelligence (AAAI-20), 34(7), pp. 10704-10712, 2020. Preprint version.
- Zach Boyd, Mason A. Porter, and Andrea L. Bertozzi, Stochastic Block Models are a Discrete Surface Tension, J. Non. Sci., 30, pp. 2429-2462, 2020; published online April 22, 2019. ArXiv preprint
-
Dominic Diaz, Jessica Bojorquez, Joshua Crasto, Margaret Koulikova, Tameez Latib, Aviva Prins, Andrew Shapiro, Clover Ye,
David Arnold, Claudia Falcon, Michael R. Lindstrom, Andrea L. Bertozzi,
Investigation of Constant Volume and Constant Flux Initial
Conditions on Bidensity Particle-Laden Slurries on an Incline,
American J. Undergraduate Research, 16(3), pp. 43-54, 2019.
- Hui Jin, Xie He, Yanghui Wang, Hao Li, and Andrea Bertozzi,
Noisy Subgraph Isomorphisms on Multiplex Networks,
Third workshop on Graph Techniques for Adversarial Activity Analytics (GTA3 3.0), IEEE BIG DATA conference, Los Angeles, Dec 9, 2019.
- Thien Nguyen, Dominic Yang, Yurun Ge, Hao Li, and Andrea Bertozzi,
Applications of Structural Equivalence to Subgraph Isomorphism on Multichannel Multigraphs, Third workshop on Graph Techniques for Adversarial Activity Analytics (GTA3 3.0),
IEEE BIG DATA conference, Los Angeles, Dec 9, 2019.
- Zhijian Li, Xiyang Luo, Bao Wang, Andrea L. Bertozzi, Jack Xin,
A Study on Graph-Structured Recurrent Neural Networks and Sparsification with Application to Epidemic Forecasting,
In: Le Thi H., Le H., Pham Dinh T. (eds) Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol 991. Springer, Cham.
- Bao Wang, Penghang Yin, Andrea L. Bertozzi, P. Jeffrey Brantingham, Stanley J. Osher, Jack Xin, Deep Learning for Real-Time Crime Forecasting and its Ternarization, Chinese Annals of Mathematics, Series B, 40(6), pp. 949-966, 2019, special issue dedicated to Andrew Majda on his 70th birthday. preprint version .
- A. L. Bertozzi and E. Merkurjev, Graph-based optimization approaches for machine learning, uncertainty quantification and networks, Handbook of Numerical Analysis, Volume 20, Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2,pp. 503-531, Elsevier, 2019.
- Jyun-Yu Jiang, Zehan Chao, Andrea L. Bertozzi, Wei Wang, Sean Young and Deanna Needell, Learning to Predict Human Stress Level with Incomplete Sensor Data from Wearable Devices, Proceedings of the 28th ACM International Conference on Information and Knowledge Management (CIKM), Beijing Nov 3-7, 2019, pp. 2773-2781.
- Brendon Anderson, Eva Loeser, Marissa Gee, Fei Ren, Swagata Biswas,
Olga Turanova, Matt Haberland, and Andrea L. Bertozzi,
Quantifying Swarm Coverage, Lecture Notes in Electrical Engineering,vol 613, pp. 276-301, 2019, Special book collection from ICINCO 2018 Inforatics in Control, Automation, and Robotics.
preprint version.
- Jing Qin, Harlin Lee, Jocelyn T. Chi, Yifei Lou, Jocelyn Chanussot, and Andrea L. Bertozzi, Fast blind hyperspectral unmixing based on graph Laplacian, Proc. 10th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), Amsterdam, Sept. 24-26th, 2019.
- W. Chiang, B. Yuan, H. Li, B. Wang, A. Bertozzi, J. Carter, B. Ray, and G. Mohler. System for Overdose Spike Early Warning using Drug Mover's Distance-based Hawkes Processes. ECML-PKDD Workshop on Data Science for Social Good. 2019.
- Jeffrey Wong, Michael Lindstrom, and Andrea L. Bertozzi,
Fast equilibration dynamics of viscous particle-laden flow in an inclined channel, J. Fluid Mech. 879, pp. 28-53, 2019.
preprint version.
- Omri Azencot, Wotao Yin, and Andrea L. Bertozzi,
Consistent Dynamic Mode Decomposition, SIAM J. Appl. Dyn. Syst., 18(3), 1565-1585, 2019. preprint version.
- Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi, and Martin B. Short,
A Stochastic-Statistical Residential Burglary
Model with Finite Size Effects, in N. Bellomo et al. (eds.), Active Particles, Volume 2, Modeling
and Simulation in Science, Engineering and Technology, pp. 245-274, Springer,
https://doi.org/10.1007/978-3-030-20297-2_8.
preprint version.
- B. Harding, Y. Stokes, and A.L. Bertozzi,
Effect of inertial lift on a spherical particle suspended in flow through a curved duct,
J. Fl. Mech., 875, pp. 1-43, 2019;
ArXiv preprint.
- Baichuan Yuan, Hao Li, Andrea L. Bertozzi, P. Jeffrey Brantingham, and Mason Porter,
Multivariate Spatiotemporal Hawkes Processes and Network Reconstruction, SIAM J. Mathematics of Data Science, 1(2), pp. 356-382, 2019;
ArXiv preprint version.
- D. J. Arnold, D. Fernandez, R. Jia, C. Parkinson, D. Tonne, Y. Yaniv, A. L. Bertozzi, and S. J. Osher, Modeling environmental crime in protected areas using the level set method, SIAM J. Appl. Math., 79(3), 802-821, 2019.
- Christian Parkinson, David Arnold, Andrea L. Bertozzi, Yat Tin Chow, and Stanley J. Osher, Optimal Human Navigation in Steep Terrain: A Hamilton-Jacobi-Bellman Approach, Communications in Mathematical Sciences, 17(1), (2019), pp. 227-242, author final submitted.
- Lucas Drumetz, Travis R. Meyer, Jocelyn Chanussot, Andrea L. Bertozzi, Christian Jutten, Hyperspectral Image Unmixing With Endmember Bundles and Group Sparsity Inducing Mixed Norms, IEEE Trans. Image Proc., 28(7), p. 3435-3450, 2019.
- Kevin Bui, Jacob Fauman, David Kes, Leticia Torres Mandiola, Adina Ciomaga, Ricardo Salazar, Andrea L. Bertozzi, Jerome Gilles, Andrew I. Guttentag, Paul S. Weiss,
Segmentation of Scanning Tunneling Microscopy Images Using Variational Methods and Empirical Wavelets, Pattern Analysis and Applications (Springer), online first, 2019,
ArXiv preprint.
- A. Sadeghpour, Z. Zeng, H. Ji, N. Dehdari Ebrahimi, A. L. Bertozzi, Y. S. Ju, Water vapor capturing using an array of traveling liquid beads for desalination and water treatment, Science Advances, April 12, 2019, Vol. 5, no. 4, eaav7662.
- Travis R. Meyer, D. Balagué, M. Camacho-Collados, Hao Li, Katie Khuu, P. Jeffrey Brantingham, and Andrea L. Bertozzi,
A year in Madrid as described through the analysis of
geotagged Twitter data, Environment and Planning B: Urban Analytics and City Science vol 46(9), pp. 1724-1740, 2019.
- Y. Qiao, C. Shi, C. Wang, H. Li, M. Haberland, X. Luo, A. M. Stuart, and A. L. Bertozzi, Uncertainty Quantification for Semi-supervised Multi-class Classification
in Image Processing and Ego-Motion Analysis of Body-Worn Videos,
IS&T International Symposium on Electronic Imaging 2019: Image Processing: Algorithms and Systems XVII proceedings, Burlingame, CA.
- Hangjie Ji, Claudia Falcon, Abolfazl Sadeghpour, Zezhi Zeng, Y.
Sungtaek Ju, A. L. Bertozzi,
Dynamics of thin liquid films on vertical cylindrical fibres
J. Fluid Mech. 865, pp. 303-327, April 25, 2019;
preprint with American spellings, UCLA CAM report 19-12.
- M. Diaz, J. Chanussot, R. Guerra, S. López, R. Sarmiento and A. L. Bertozzi, A Novel Highly Parallel Algorithm For The Detection And Tracking Of Chemical Gas Plumes Using Hyperspectral Video Sequences, 2018 9th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), Amsterdam, Netherlands, 2018.
- Wenting Shang, Zebin Wu, Jie Wei, Yang Xu, Ling Qian, Jocelyn Chanussot, and Andrea L. Bertozzi, Gas Plume Detection in Hyperspectral Video Sequence Using Tensor Nuclear Norm, 2018 9th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), Sept 23-26, 2018, Amsterdam, Netherlands
- E. Merkurjev, A. L. Bertozzi, and F. Chung,
A semi-supervised heat kernel pagerank MBO algorithm for data classification, Comm. Math. Sci, 16(5), pp. 1241-1265, 2018, author final version .
- Zhaoyi Meng, Javier Sanchez, Jean-Michel Morel, Andrea L Bertozzi, P. Jeffrey Brantingham, Ego-motion Classification for Body-worn Videos
, 2018 Proceedings of the 2016 International Conference on Imaging, vision and learning based on optimization and PDEs, Bergen, Norway, pp. 221-239.
- Jacob D. Moorman, Qinyi Chen, Thomas K. Tu, Zachary M. Boyd,
Andrea L. Bertozzi,
Filtering Methods for Subgraph Matching on Multiplex Networks, Proc. GTA3 workshop, IEEE Conference on BIG DATA, Seattle Dec. 2018, pp. 3979-3984.
- Huimin Yu, Zebin Wu, Jie Wei, Yang Xu, Jocelyn Chanussot, Andrea L. Bertozzi, Linlin Shi, Zhihui Wei, GPU parallel implementation of gas plume detection in hyperspectral video sequences, IEEE International Geoscience and Remote Sensing Symposium (IGARSS) 2018, pp 2781-2784.
- Z. Boyd, E. Bae, X.C. Tai, and A. L. Bertozzi,
Simplified energy landscape for modularity using total variation,
SIAM J. Applied Math, 78(5), pp. 2439-2464, 2018, UCLA CAM preprint 17-47
- B. Wang, X. Luo, F. Zhang, B. Yuan, A. L. Bertozzi, and P. J. Brantingham, Graph-Based Deep Modeling and Real Time Forecasting of Sparse Spatio-Temporal Data, 4th Workshop on Mining and Learning from Time Series (MileTS), at KDD London, August 2018.
- Andrea L. Bertozzi,
Graphical Models in Machine Learning, Networks, and Uncertainty Quantification, Proc. Int. Cong. of Math., Rio de Janeiro, Vol. 3 pp. 3853-3880, 2018.
- Chaohao Pan, Bo Li, Chuntian Wang, Yuqi Zhang, Nathan Geldner, Li Wang, and Andrea L. Bertozzi, Crime modeling with truncated L\'evy flights for residential burglary models, Mathematical Models and Methods in Applied Sciences, 28(9), pp. 1857-1880, 2018
- Brendon Anderson, Eva Loeser, Marissa Gee, Felix Ren,
Swagata Biswas, Olga Turanova, Matt Haberland, and Andrea L. Bertozzi, Quantitative Assessment of Robotic Swarm
Coverage, Proc. 15th Int. Conf. on Informatics in Control, Automation, and Robotics (ICINCO 2018), vol. 2, pp. 91-101, 2018.
- A. Mavromoustaki, L. Wang, J. T. Wong, and A. L. Bertozzi,
Surface tension effects for particle settling and resuspension in viscous thin films, Nonlinearity, 31(7), pp. 3151-3173, 2018.
preprint version.
- Y. van Gennip, B. Hunter, A. Ma, D. Moyer, R. de Vera, and A. L. Bertozzi, Unsupervised record matching with noisy and incomplete data, International Journal of Data Science and Analytics, 6, pp. 109-129, 2018.
ArXiv preprint
- Fangbo Zhang, Andrea L. Bertozzi, Karthik Elamvazhuthi, and Spring Berman, Performance Bounds on Spatial Coverage Tasks by
Stochastic Robotic Swarms, IEEE Trans. Aut. Control, 63(6), 2018, pp. 1473-1488.
- Yang Xu, Zebin Wu, Jocelyn Chanussot, Mauro Dalla Mura, Andrea L. Bertozzi, and Zhihui Wei,
Low-Rank Decomposition and Total Variation Regularization of Hyperspectral
Video Sequences, IEEE Transactions on Geoscience and Remote Sensing, 56(3), pp. 1680-1694, 2018
- A. L. Bertozzi, X. Luo, A. M. Stuart, and K. C. Zygalakis,
Uncertainty Quantification in the Classification of High Dimensional Data,
SIAM/ASA J. Uncertainty Quantification, 6(2), pp.568-595, 2018.
- D. A. Vaughn, W. K . van Deen, W. T. Kerr, T. R. Meyer, A. L. Bertozzi, D. W. Hommes, and M. S. Cohen, Using insurance claims to predict and improve hospitalizations and biologics use in members with inflammatory bowel diseases Journal of Biomedical Informatics, Volume 81, pp. 93-101, 2018.
- Yonatan Dukler, Yurun Ge, Yizhou Qian, Shintaro Yamamoto, Baichuan Yuan, Long Zhao, Andrea L. Bertozzi, Blake Hunter, Rafael Llerena, and Jesse T. Yen, Automatic decomposition and mitral valve segmentation of cardiac ultrasound time series data, Proc. SPIE conference on medical imaging, 2018.
- Da Kuang, P. Jeffrey Brantingham, Andrea L. Bertozzi,
Crime Topic Modeling, Crime Sci. 6:12, 2017,
https://doi.org/10.1186/s40163-017-0074-0
- Da Kuang, Zuoqiang Shi, Stanley Osher, and Andrea Bertozzi, A Harmonic Extension Approach for Collaborative Ranking, 2017 International Symposium on Nonlinear Theory and Its Applications (NOLTA),
Cancun, Mexico, December 4-7, pages 318-321, 2017.
- B. Wang, D. Zhang, D. Zhang, P. J. Brantingham, and A. L. Bertozzi, Deep Learning for Real Time Crime Forecasting 2017 International Symposium on Nonlinear Theory and Its Applications (NOLTA),
Cancun, Mexico, December 4-7, pages 330-333, 2017.
-
Hanjun Li, Chunhan Feng, Henry Ehrhard,
Yijun Shen, Bernardo Cobos, Fangbo Zhang, Karthik
Elamvazhuthi, Spring Berman, Matt Haberland, Andrea L.
Bertozzi, Decentralized Stochastic Control
of Robotic Swarm Density: Theory, Simulation, and
Experiment, 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
September 24-28, 2017, Vancouver, BC, Canada, pp. 4341-4347, 2017.
- Geoffrey Iyer, Jocelyn Chanussot, Andrea L. Bertozzi,
A graph-based approach for feature extraction and segmentation in multimodal images, ICIP conference, pp. 3320-3324, Bejing, Sept. 2017.
- R. Archibald, F. Bao, A. L. Bertozzi, A. Gelb, C. Hauck, K. Law, S. Osher, H. Tran, C. Webster, S. Wise, and G. Zhang,
Exascale Data Analytics for the DOE,
position paper, 6 pages, available online.
- Z. Meng, E. Merkurjev, A. Koniges, and A. L. Bertozzi,
Hyperspectral Image Classification Using Graph Clustering Methods,
Image Processing Online (with code), 7 (2017), pp. 218-245, 2017.
- Guillaume Tochon, Jocelyn Chanussot, Mauro Dalla Mura and
Andrea. L. Bertozzi, Object tracking by hierarchical decomposition of hyperspectral video sequences: application to chemical gas plume tracking,
IEEE Transactions on Geoscience and Remote Sensing, 55(8), pp. 4576-4585, 2017.
- Ekaterina Merkurjev, Andrea Bertozzi, Xiaoran Yan, and Kristina Lerman, Modified Cheeger and Ratio Cut Methods Using the Ginzburg-Landau Functional for Classification of High-Dimensional Data, Inverse Problems, 33(7), 074003, 2017.
preprint version
- D. Zosso, A. Jing, J. Stevick, N. Takaki, M. Weiss, L. S. Slaughter, H. H. Cao, P. S. Weiss, A. L. Bertozzi,
Image Segmentation with Dynamic Artifacts Detection and Bias Correction, AIMS Inverse Problems and Imaging, 11(3) 2017, pp. 577-600; doi:10.3934/ipi.2017027;
original preprint version.
- D. Zosso, K. Dragomiretskiy, A. L. Bertozzi, and P. S. Weiss,
Two-Dimensional Compact Variational Mode Decomposition, JMIV, 58(2), pp. 294-320, 2017.
- X. Luo and A. L. Bertozzi, Convergence Analysis of the Graph Allen-Cahn Scheme J. Stat. Phys. 167(3), pp. 934-958, 2017,
preprint version.
- Wei Zhu, Victoria Chayes, Alexandre Tiard, Stephanie Sanchez, Devin Dahlberg, Da Kuang, Andrea L. Bertozzi, Stanley Osher, Dominique Zosso,
Unsupervised Classification in Hyperspectral Imagery with Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm, IEEE Trans. Geo. Remote Sensing, 55(5), pp. 2786-2798, 2017.
- Victoria Chayes, Kevin Miller, Rasika Bhalerao, Jiajie Luo, Wei Zhu, Andrea L. Bertozzi, Wenzhi Liao, Stanley Osher,
Pre-processing and classification of hyperspectral imagery via selective inpainting, ICASSP 2017
- Baichuan Yuan, Sathya R Chitturi, Geoffrey Iyer, Nuoyu Li, Xiaochuan Xu, Ruohan Zhan, Rafael Llerena, Jesse T Yen, Andrea L Bertozzi,
Machine Learning for Cardiac Ultrasound Time Series Data, Proc. SPIE 10137, Medical Imaging 2017: Biomedical Applications in Molecular, Structural, and Functional Imaging, 101372D,
preprint version.
- Dominik Ziegler, Travis R. Meyer, Andreas Amrein, Andrea L. Bertozzi, and Paul D. Ashby, Ideal Scan Path for High-Speed Atomic
Force Microscopy, IEEE/ASME Trans. Mechatronics, 22(1), pp. 381-391, 2017, preprint.
- Li Wang, Martin Short, and Andrea L Bertozzi, Efficient numerical methods for multiscale crowd dynamics with emotional contagion. Math. Models Methods Appl. Sci. 27 (2017), no. 1, 205-230. preprint version. http://dx.doi.org/10.1142/S0218202517400073, Clarivate Analytics "highly cited" paper for 2017.
- Andrea Bertozzi, John Garnett, Thomas Laurent, Joan Verdera,
The regularity of the boundary of a multidimensional aggregation patch,
SIAM J. Math. Anal., 48(6), pp. 3789-3819, 2016;
Preprint available on the arxiv.
- Zhaoyi Meng, Alice Koniges, Yun (Helen) He, Samuel Williams,
Thorsten Kurth, Brandon Cook, Jack Deslippe, and Andrea L. Bertozzi,
OpenMP Parallelization and Optimization of
Graph-based Machine Learning Algorithms, In Maruyama N. de Supinksi B., and Wahib, M. (eds), IWOMP 2016. Lecture Notes in Computer Science, vol 9930, Springer.
preprint version from International Workshop on Open MP (IWOMP), 2016
- Andrea L. Bertozzi,
Designer shocks for carving out microscale surface morphologies,
Proc. Nat. Acad. Sci., 113(41), pp. 11384-11386, 2016. commentary.
- Yang Yu, Zebin Wu, Zhihui Wei, Mauro Dalla Mura, Jocelyn Chanussot, and Andrea Bertozzi, Gas Plume Detection in Hyperspectral Video Sequence Using Low Rank Representation, Proc. IEEE Int. Conf. Imag. Proc. Phoenix, pp. 2221-2225, 2016.
- Travis R. Meyer, Lucas Drumetz, Jocelyn Chanussot, Andrea L. Bertozzi, and Christian Jutten, Hyperspectral unmixing with material variability using social sparsity, Proc. IEEE Int. Conf. Imag. Proc. pp. 2187-2191, Phoenix, 2016.
- E. Lai, D. Moyer, B. Yuan, E. Fox, B. Hunter, A. L. Bertozzi, and P. J. Brantingham, Topic Time Series Analysis of Microblogs, IMA Journal of Applied Mathematics, 81(3) pp. 409-431, 2016.
- Sean Wilson, Ruben Gameros, Michael Sheely, Matthew Lin, Kathryn Dover, Robert Gevorkyan, Matt Haberland, Andrea Bertozzi, and Spring Berman,
Pheeno, a Versatile Swarm Robotic Research and Education Platform, Sean Wilson, Robotics and Automation Letters (RA-L), 1(2), pp. 884-891, 2016.
preprint version
- Jeffrey T. Wong and Andrea L. Bertozzi, A conservation law model for bidensity suspensions on an incline Physica D, Volume 330, 1 September 2016, Pages 47-57,
preprint version.
- E. W. Fox, M. B. Short, F. P. Schoenberg, K. D. Coronges, and A. L. Bertozzi, Modeling e-mail networks and inferring leadership using self-exciting point processes, J. Am. Stat. Assoc.,
Volume 111, 2016 - Issue 514, pp. 564-584. accepted author version
- Andrea L. Bertozzi and Arjuna Flenner, Diffuse Interface Models on Graphs for Classification of High Dimensional Data,
SIAM Review, 58(2), pp. 293-328, 2016.
- John C. Thomas, Dominic P Goronzy, Konstantin Dragomiretskiy, Dominique Zosso, Jerome Gilles, Stanley J. Osher, Andrea Bertozzi, and Paul S. Weiss, Mapping Buried Hydrogen-Bonding Networks, ACS Nano, 10(5), pp. 5445-5451, 2016.
- Charles Z. Marshak, M. Puck Rombach, Andrea L. Bertozzi, and Maria R. D'Orsogna, Growth and containment of a hierarchical criminal network Phys. Rev E, 022308, Feb. 23, 2016.
preprint version.
- K. Craig and A. L. Bertozzi,
A blob method for the aggregation equation, Math. Comp. 85, 2016, pp. 1681-1717,
preprint version, ArXiv:1405.6424, first published electronically Dec. 4, 2015.
- Joseph R. Zipkin, Frederic P. Schoenberg, Kathryn Coronges, and Andrea L. Bertozzi, Point-process models of social network interactions: parameter estimation and missing data recovery, Eur. J. Appl. Math., 27(3) pp. 502-529, 2016, published online Oct. 8, 2015,
Preprint Version .
- G.O. Mohler, M.B. Short, S. Malinowski, M. Johnson, G.E. Tita, A.L. Bertozzi, and P.J. Brantingham, Randomized controlled field trials of predictive policing, J. Am. Stat. Assoc., 111(512), 1399-1411, (2015).
- Jing Qin, Thomas Laurent, Kevin Bui, Ricardo V. Tan, Jasmine Dahilig, Shuyi Wang, Jared Rohe, Justin Sunu, Andrea L. Bertozzi,
Detecting Plumes in LWIR Using Robust Nonnegative Matrix Factorization with Graph-based Initialization, in Proceedings of SPIE Defense and Security, Baltimore MD April 2015.
- Mitchell Horning, Matthew Lin, Srinivasan Siddarth, Simon Zou, Matt
Haberland, Ke Yin, Andrea L. Bertozzi,
Compressed Sensing Environmental Mapping by an Autonomous Robot,
Proceedings of the Second International Workshop on Robotic Sensor Networks, Seattle WA, April 13, 2015.
- E. Merkurjev, E. Bae, A.L. Bertozzi and X.-C. Tai,
Global binary optimization on graphs for classification of high dimensional data, J. Math. Imag. Vis., 52(3), pp. 414-435, 2015,
preprint version.
- A. Koniges, N. Masters, A. Fisher, D. Eder, W. Liu, R. Anderson, D. Benson, and A. L. Bertozzi, Multi-material ALE with AMR for Modeling Hot Plasmas and Cold
Fragmenting Materials, Plasma Science and Technology, Vol.17, No.2, p. 117-128, 2015
- Andrea L. Bertozzi, James von Brecht, Hui Sun,
Theodore Kolokolnikov, and David Uminsky, Ring Patterns and their Bifurcations in a Nonlocal Model of Biological Swarms, Comm. Math. Sci., special issue in honor of George Papanicolau's birthday, Vol. 13, No. 4, pp. 955-985, 2015.
- S. Lee, J. Wong, and A. L. Bertozzi, Equilibrium theory of bidensity particle-laden flow on an incline, Mathematical Modelling and Numerical Simulation of Oil Pollution Problems, The Reacting Atmosphere Volume 2, pp. 85-97, Mattias Ehrhardt, Editor, 2015.
author final preprint
- L. Wang, A. Mavromoustaki, A. L. Bertozzi, G. Urdaneta, and K. Huang,
Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film, Physics of Fluids, 27, 033301, 2015.
preprint version.
- Andrea L. Bertozzi, Jesus Rosado, Martin B. Short and Li Wang,
Contagion shocks in one dimension, J. Stat. Phys., 158(3), pp. 647-664,
2015.
preprint version.
- Huiyi Hu, Justin Sunu, and Andrea L. Bertozzi,
Multi-class Graph Mumford-Shah Model for Plume Detection using the MBO scheme, Proceedings of the EMMCVPR conference in Hong Kong 2015, pp. 209-222, X. -C. Tai et al (Eds), Springer Lecture Notes in Computer Science vol. 8932.
- James von Brecht, Benjamin Sudakov, and A. L. Bertozzi, Swarming on Random Graphs II, J. Stat. Phys., 158(3), pp. 699-734, 2015,
preprint version.
- Subramanian Ramakrishnan, Thomas Laurent, Manish Kumar, and Andrea L. Bertozzi, A spatiotemporal chemotactic model for ant foraging, Modern Physics Letters B, 20(30), 1450238, 9 pages, 2014. DOI: 10.1142/S0217984914502388,
preprint version
- E. Merkurjev, J. Sunu, and A.L. Bertozzi,
Graph MBO method for multiclass segmentation of hyperspectral stand-off detection video
Proc. Int. Conf. Image Proc. (ICIP) Paris 2014, pp. 689-693.
preprint version
- J. T. Woodworth, G. O. Mohler, A. L. Bertozzi and P. J. Brantingham,
Nonlocal Crime Density
Estimation Incorporating
Housing Information, Phil. Trans. Roy. Soc. A, 372(2028), 20130403, 2014.
- G. Tochon, J. Chanussot, J. Gilles, M. Dalla Mura, J.-M. Chang, and A. L. Bertozzi, Gas Plume Detection and Tracking in Hyperspectral Video Sequences using Binary Partition Trees, IEEE Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS 2014), Lausanne: Switzerland (2014).
- J. Sunu, J. M. Chang, and A. L. Bertozzi, Simultaneous spectral analysis of multiple video sequence
data for LWIR gas plumes, SPIE Defense and Security Conference, Baltimore, MD, May 2014.
- Yves van Gennip, Nestor Guillen, Braxton Osting, and Andrea L. Bertozzi,
Mean curvature, threshold dynamics, and phase field theory on finite graphs,
Milan J. of Math, 82(1), pp. 3-65, 2014,
preprint version .
- A. Mavromoustaki and A. L. Bertozzi,
Hyperbolic systems of conservation laws in gravity-driven,
particle-laden thin-film flows, J. Eng. Math., 88(1), pp. 29-48, 2014,
preprint version
.
- Sungyon Lee, Yvonne Stokes, and Andrea L. Bertozzi,
Behavior of a particle-laden flow in a spiral channel,
Physics of Fluids 26, 043302, 2014,
preprint version.
- Andrea L. Bertozzi,
Preface to special issue on mathematics of social systems,
Discrete and Continuous Dynamical Systems B, 19(5), page i-v, July 2014, preprint version.
- Alan Mackey, Theodore Kolokolnikov, and Andrea L. Bertozzi,
Two-species particle aggregation and stability of co-dimension one solutions, Discrete and Continuous Dynamical Systems B,
19(5), pp. 1411-1436, July 2014,
preprint version.
- J. Zipkin, M. B. Short, A. L. Bertozzi,
Cops on the dots in a mathematical model of urban crime and police response, Discrete and Continuous Dynamical Systems B, 19(5), pp. 1479-1506, July 2014, preprint version.
- S. Lee, A. Mavromoustaki, G. Urdaneta, K. Huang, and A. L. Bertozzi,
Experimental investigation of bidensity slurries on an incline, Granular Matter, 16(2), April 2014, pp. 269-274,
preprint version.
- Li Wang and Andrea L. Bertozzi,
Shock solutions for high concentration particle-laden thin films, SIAM J. Appl. Math., 74(2), pp. 322-344, 2014.
- Cristina Garcia-Cardona, Ekaterina Merkurjev, Andrea L. Bertozzi, Arjuna Flenner and Allon G. Percus, Multiclass Data Segmentation Using Diffuse Interface Methods on Graphs, IEEE Trans. Pattern Anal. Mach. Int., 36(8), pp. 1600-1613, 2014, preprint version
- E. Merkurjev, C. Garcia, A. L. Bertozzi, A. Flenner, A. Percus
Diffuse interface methods for multiclass segmentation of high-dimensional data
Applied Math. Letters, 33, July, 2014, pp. 29-34,
preprint version.
- Travis R. Meyer, Dominik Ziegler, Christoph Brune, Alex Chen, Rodrigo Farnham, Nen Huynh, Jen-Mei Chang, Andrea Bertozzi, and Paul D. Ashby,
Height Drift Correction in Non-Raster Atomic Force Microscopy, Ultramicroscopy, 137, pp. 48-54, 2014.
- Huiyi Hu, Thomas Laurent, Mason A. Porter, Andrea L. Bertozzi,
A Method Based on Total Variation for Network Modularity Optimization using the MBO Scheme, SIAM J. Appl. Math., 73(6), pp. 2224-2246, 2013.
- A. Koniges, W. Liu, J. Barnard, A. Friedman, G. Logan, D. Eder, A. Fisher, N. Masters, and A. Bertozzi, Modeling Warm Dense Matter Experiments using the 3D ALE-AMR Code and the Move Toward Exascale Computing, EPJ Web of Conferences 59, 09006, 2013, Proceedings of the Seventh International Conference on Inertial Fusion Sciences and Applications (IFSA), 2011.
- E. Merkurjev, T. Kostic, and A. L. Bertozzi,
An MBO Scheme on Graphs for Segmentation and Image Processing,
SIAM J. Imaging Sci. 6(4), 1903-1930, 2013.
- Yao Yao and Andrea L. Bertozzi,
Blow-up dynamics for the aggregation equation with degenerate diffusion, Physica D, 260, pp. 77-89, 2013, special issue on Emergent Behaviour in Multi-particle Systems with Non-local Interactions.
preprint version.
- Yifei Lou, Sung Ha Kang, Stefano Soatto, and Andrea L. Bertozzi,
Video Stabilization of Atmospheric Turbulence Distortion, Inverse Problems in Imaging, 7(3) pp. 839-861, 2013, Special Issue in honor of
Tony Chan.
- Dominik Ziegler, Travis R. Meyer, Rodrigo Farnham, Christophe Brune, Andrea L. Bertozzi and Paul D. Ashby,
Improved accuracy and speed in scanning probe microscopy by image reconstruction from non-gridded position sensor data, Nanotechnology, 24, 335703, 2013.
- Mario Micheli, Yifei Lou, Stefano Soatto, and Andrea L. Bertozzi,
A linear systems approach to imaging through turbulence, J. Math. Imag. Vis., 48(1), pp. 185-201,2013,
preprint version.
- T. Gerhart, J. Sunu, L. Lieu, E. Merkurjev, J.-M. Chang, J. Gilles, A. L. Bertozzi, Detection and tracking of gas plumes in LWIR hyperspectral
video sequence data, SPIE Conference on Defense Security and Sensing, 2013, Baltmore, MD, April 29-May 3, 2013.
- Rachel A. Hegemann, Erik A. Lewis, and Andrea L. Bertozzi,
An "Estimate & Score Algorithm" for simultaneous parameter estimation and reconstruction of missing data
on social networks Security Informatics, 2:1, 2013.
- Julia Dobrosotskaya and A. L. Bertozzi,
Analysis of the wavelet Ginzburg-Landau energy in image applications with edges
SIAM J. Imaging Sciences, 6(1), 698-729, 2013.
preprint version.
- Yves van Gennip, Blake Hunter, Raymond Ahn, Peter Elliott, Kyle Luh, Megan Halvorson, Shannon Reid, Matt Valasik, James Wo, George E. Tita, Andrea L. Bertozzi, P. Jeffrey Brantingham,
Community detection using spectral clustering on sparse geosocial data, SIAP, 73(1), pp. 67-83, 2013.
Arxiv version
- N. Murisic, B. Pausader, D. Peschka, and A. L. Bertozzi,
Dynamics of particle settling and resuspension
in viscous liquid films , J. Fl. Mech., vol. 717, pp. 203-231, 2013.
- James von Brecht Theodore Kolokolnikov Andrea L. Bertozzi Hui Sun,
Swarming on Random Graphs, 151(1-2), J. Stat. Phys., pp. 150-173, 2013.
- Alex Chen, Andrea L. Bertozzi, Paul D. Ashby, Pascal Getreuer, and Yifei Lou, Enhancement and Recovery in Atomic Force Microscopy Images,
in
Excursions in Harmonic Analysis, Volume 2, Andrews, T.D.; Balan, R.; Benedetto, J.J.; Czaja, W.; Okoudjou, K.A. (Eds.), Birkhauser Basel, 2013, pp. 311-332. preprint version.
- James von Brecht and Andrea L. Bertozzi,
Well-posedness theory for aggregation sheets, Comm. Math. Phys., 319(2), pp. 451-477, 2013,
(
preprint version )
- Tijana Kostic and Andrea Bertozzi, Statistical Density Estimation using Threshold Dynamics for Geometric Motion, J. Sci. Comp.,
54(2-3), pp. 513-530, 2013, special issue in honor of S. Osher's 70th Birthday. preprint version.
- David S. Hermina Martinez, Maximillian Gonzalez, Xinheng Huang, Benjamin Irvine, Chung H. Hsieh, Yuan R. Huang, Martin B. Short and Andrea L. Bertozzi, An Economical Testbed for Cooperative Control and Sensing Strategies of Robotic Micro-vehicles, in Informatics in Control, Automation, and Robotics,
Springer Lecture Notes in Electrical Engineering 2013, vol. 174, Part 3,
pages 65-75, DOI: 10.1007/978-3-642-31353-0_5.
- B. Hunter, Y. Lou, A.L. Bertozzi,
A spectral graph based approach to analyze hyperspectral data,
IEEE Applied Imagery Pattern Recognition, Washington DC, 2012.
- H. Hu, Y. van Gennip, B. Hunter, A.L. Bertozzi, M.A. Porter, Multislice Modularity Optimization in Community Detection and Image Segmentation, IEEE International
Conference on Data Mining (Brussels), ICDM'12, pp. 934-936, 2012.
- Andrea L. Bertozzi and Arjuna Flenner, Diffuse interface models on graphs for classification of high dimensional data, Multiscale Modeling and Simulation, 10(3), pp. 1090-1118, 2012.
- Miranda Holmes-Cerfon, Wei Zhou, Andrea L. Bertozzi, Michael P. Brenner, and Michael J. Aziz, Development of Knife-Edge Ridges on Ion-Bombarded Surfaces, Applied Physics Letters, 101, 143109, 2012.
- Sungyon Lee, Yvonne Stokes, and Andrea L. Bertozzi, A model for particle laden flow in a spiral concentrator, Proceedings of International Conference on Theoretical and Applied Mechanics, 2012 in Beijing.
- Hui Sun, David Uminsky, and Andrea L. Bertozzi,
Stability and clustering of self-similar solutions of aggregation equations J. Math. Phys. 53, 115610 (2012).
preprint version.
- Yves van Gennip and Andrea L. Bertozzi,
Gamma-convergence of graph Ginzburg-Landau functionals, Advances in Differential Equations, 17(11-12), 2012, pp. 1115-1180;
preprint version.
- Yanghong Huang, Thomas P. Witelski, and Andrea L. Bertozzi,
Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions,
Applied Mathematics Letters, 25(12), p. 2317-2321, 2012,
preprint version.
- Laura M. Smith, Andrea L. Bertozzi, P. Jeffrey Brantingham, George E. Tita, and Matthew Valasik,
Adaptation of an Ecological Territorial Model to Street Gang Spatial Patterns in Los Angeles Discrete and Continuous Dynamical Systems A, 32(9), pp. 3223 - 3244, 2012.
- Jérôme Gilles, Balaji R. Sharma, Will Ferenc, Hannah Kastein, Lauren Lieu, Ryan Wilson, Yuan Rick Huang, Andrea L. Bertozzi, Baisravan HomChaudhuri, Subramanian Ramakrishnan, and Manish Kumar,
Robotic Swarming over the Internet, Proceedings of the 2012 American Control Conference, pp. 6065-6070,
preprint version.
- Matthew Keeter, Daniel Moore, Ryan Muller, Eric Nieters, Jennifer Flenner, Susan E. Martonosi, Andrea L. Bertozzi, Allon G. Percus, Rachel Levy,
Cooperative Search with Autonomous Vehicles in a 3D Aquatic Testbed,
Proceedings of the 2012 American Control Conference, pp 3154-3160, 2012.
preprint version
- Andrea L. Bertozzi, John B. Garnett, and Thomas Laurent,
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations, SIAM J. Math. Anal., 44(2), pp. 651-681, 2012,
preprint version.
- James von Brecht, David Uminsky, Theodore Kolokolnikov, and Andrea L. Bertozzi,
Predicting pattern formation in particle interactions
M3AS, vol. 22, Supp. 1, 1140002, 2012,
preprint version,
special issue on Mathematics and Complexity of Multi-Particle Systems;
Thomson-Reuters 2015 "highly cited paper".
- Andrea L. Bertozzi, Thomas Laurent, and Flavien Leger,
Aggregation and Spreading via the Newtonian Potential: The Dynamics of Patch Solutions M3AS,vol. 22, Supp. 1, 2012,
special issue on Mathematics and Complexity of Multi-Particle Systems,
2012, DOI 10.1142/S0218202511400057,
preprint version.
- Yanghong Huang and Andrea L. Bertozzi,
Asymptotics of blowup solutions for the aggregation equation
Discrete and Continuous Dynamical Systems Series B,
pages 1309 - 1331, Volume 17, Issue 4, June 2012,
preprint version.
- Hui Sun, David Uminsky, and Andrea L. Bertozzi,
A generalized Birkhoff-Rott Equation for 2D Active Scalar Problems,
SIAM J. Appl. Math, 72(1), pp. 382-404, 2012, preprint version.
- Andrea Bertozzi, Theory, Modeling and Experiments Shed Light on Oil - Sand Mixtures, SIAM News, January/February, 2012, p. 3,6.
- Michael Moeller, Todd Wittman, Andrea L. Bertozzi, and Martin Burger
A Variational Approach for Sharpening High Dimensional Images, SIAM J. Imaging Sci., 5, pp. 150-178, 2012,
preprint version.
- W. Liu, A. L. Bertozzi, and T. Kolokolnikov, Diffuse interface surface tension models in an expanding flow, Comm. Math. Sci., 10(1), pp. 387-418, 2012.
- Alexey Stomakhin, Martin B. Short, and Andrea L. Bertozzi, Reconstruction of Missing Data in Social Networks Based on Temporal Patterns of Interactions, Inverse Problems, 27(11), 115013, 2011.
preprint version
- E. Lewis, G. Mohler, P. J. Brantingham, and A. L. Bertozzi, Self-Exciting Point Process Models of Civilian Deaths in Iraq, Security Journal,
25, 244-264, 2012, doi:10.1057/sj.2011.21, published online Sept. 19, 2011.
- M. Gonzalez, X. Huang, B. Irvine, D. S. Hermina Martinez, C. H. Hsieh, Y. R. Huang, M. B. Short, and A. L. Bertozzi
A Third Generation Micro-vehicle Testbed for Cooperative Control and Sensing Strategies published in the Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO), pages 14-20, 2011.
preprint version without watermark
- Matthew R. Mata and Andrea L. Bertozzi,
A Numerical Scheme for Particle-Laden Thin Film Flow in two dimensions
J. Comp. Phys., Vol. 230, No. 16, 10 July 2011, Pages 6334-6353,
preprint version.
- Theodore Kolokolnikov, Hui Sun, David Uminsky, Andrea L. Bertozzi,
Stability of ring patterns arising from 2D particle interactions, Phys. Rev. E, Rapid Communications, 84(1), 015203(R), 2011.
preprint version
- R. A. Hegemann, L. M. Smith, A. Barbaro, A. L. Bertozzi, S. Reid, and G. E. Tita,
Geographical influences of an emerging network of gang rivalries,
Physica A, Volume 390, Issues 21-22, 15 October 2011, Pages 3894-3914,
preprint version.
- N. Murisic, J. Ho, V. Hu, P. Latterman, T. Koch, K. Lin, M. Mata, and A. Bertozzi,
Particle-laden viscous thin-film flows on an incline: experiments compared with an equilibrium theory based on shear-induced migration and particle settling, Physica D, 240(20), pp. 1661-1673, 2011, Special Issue: Fluid Dynamics: From Theory to Experiment Edited by Andrew Gilbert, Isaac Klapper, Jean-Luc Thiffeault and Jane Wang ,
preprint version.
- W. Gao and A. L. Bertozzi,
Level set based multispectral segmentation with corners, SIAM J. Imag. Sci., 4(2), pp. 597-617, 2011.
preprint version.
- George O. Mohler, Andrea L. Bertozzi, Thomas A. Goldstein, and Stanley J. Osher,
Fast TV Regularization for 2D Maximum Penalized Likelihood Estimation,
Journal of Computational and Graphical Statistics,
June 1, 2011, 20(2): 479-491.
pdf version
- J. Bedrossian, Nancy Rodriguez, and Andrea Bertozzi, Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion, Nonlinearity 24 (2011) 1683-1714.; Thomson-Reuters ESI 2015 "Highly Cited Paper", Clarivate Analytics "highly cited" paper for 2017.
- A. Chen, T. Wittman, A. Tartakovsky, and A. Bertozzi,
Boundary Tracking Through Efficient Sampling AMRX, Volume 2011, Issue 2, pages 182-214, 2011, preprint version.
- Carola-Bibiane Schoenlieb and Andrea Bertozzi,
Unconditionally stable schemes for higher order inpainting , Comm. Math. Sci., 9(2), pp. 413-457, 2011.
- Andrea L. Bertozzi, Ning Ju, and Hsiang-Wei Lu,
A biharmonic modified forward time stepping method for fourth order nonlinear diffusion equations, DCDS, Vol. 29, No. 4,
special issue on Trends and Developments in DE/Dynamics,
April 2011, pages 1367-1391.
- Andrea L. Bertozzi, Thomas Laurent, and Jesus Rosado,
Lp theory for the multidimensional aggregation equation,
Comm. Pur. Appl. Math., Vol. 64, No. 1, pages 45-83, January 2011;
Thomson-Reuters ESI 2015 "Highly Cited Paper", Clarivate Analytics "highly cited paper" 2017.
- Y. Lou, A. Bertozzi, and S. Soatto,
Direct Sparse Deblurring,
J. Math. Imag. Vis., vol. 39, pages 1-12, 2011, published online Aug. 14, 2010, DOI: 10.1007/s10851-010-0220-8.
preprint version.
- Julia A. Dobrosotskaya and Andrea L. Bertozzi,
Wavelet analogue of the Ginzburg-Landau energy and its Gamma-convergence,
Interfaces and Free Boundaries, 12(2), 2010, pp. 497-525.
preprint version
- Andrea Bertozzi and Dejan Slepcev,
Existence and Uniqueness of Solutions to an Aggregation Equation with Degenerate Diffusion, Comm. Pur. Appl. Anal., 9(6), 2010, pp. 1617-1637.
- Nancy Rodriguez and Andrea Bertozzi, Local Existence and Uniqueness of Solutions to a PDE model for Criminal Behavior , M3AS, special issue on
Mathematics and Complexity in Human and Life Sciences, Vol. 20, Issue supp01, pp. 1425-1457, 2010. preprint
- Yanghong Huang and A. L. Bertozzi,
Self-similar blowup solutions to an aggregation equation in RN, SIAM. J. Appl. Math.,Volume 70, Issue 7, pp. 2582-2603 (2010),
preprint version.
- Laura M. Smith, Matthew S. Keegan, Todd Wittman, George O. Mohler and Andrea L. Bertozzi,
Improving Density Estimation by Incorporating Spatial Information, EURASIP J. on Advances in Signal Processing, Article ID 265631, doi:10.1155/2010/265631, Volume 2010, 12 pages, special issue on Advanced Image Processing for Defense and Security Applications, 2010.
- Wangyi Liu, Martin B. Short, Yasser E. Taima, and Andrea L. Bertozzi,
Multiscale Collaborative Searching Through Swarming, Proceedings of the 7th International Conference on Informatics in Control, Automation, and Robotics (ICINCO), Portugal, June 2010.
- Martin Short, Andrea Bertozzi, and P. J. Brantingham,
Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression SIAM J. Appl. Dyn. Syst. Volume 9, Issue 2, pp. 462-483 (2010).
- M. B. Short, P. J. Brantingham, A. L. Bertozzi, G. E. Tita,
Dissipation and displacement of hotspots in reaction-diffusion models of crime, Proc. Nat. Acad. Sci., 107(9), March 2, 2010, pp. 3961-3965.
doi: 10.1073/pnas.0910921107.
- M. Droske and A. Bertozzi,
Higher-order feature-preserving geometric regularization, SIAM J. Im. Sci.,
3(1), pp. 21-51, 2010.
- Andrea L. Bertozzi and Jeremy Brandman,
Finite-time blow-up of L-infinity-weak solutions of an aggregation equation
Communications in the Mathematical Sciences, Vol. 8, No. 1, pp. 45-65, 2010, special issue in honor of Andrew Majda's 60th birthday,
preprint version
- Yifei Lou, Xiaoqun Zhang, Stanley Osher and Andrea Bertozzi,
Image Recovery via Nonlocal Operators,
J. Sci. Comp., 42(2), pp. 185-197, February 2010, published online Aug 27, 2009, DOI 10.1007/s10915-009-9320-2.
preprint version; Thomson-Reuters 2015 "Highly Cited Paper", Clarivate analytics "highly cited paper", 2017.
- Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward,
and Andrea L. Bertozzi,
Self-similarity in particle laden flows at constant volume, J. Eng. Math., 66(1-3), pp. 53-63, 2010, DOI 10.1007/s10665-009-9345-4,
preprint version.
- Yifei Lou, Paolo Favaro, Stefano Soatto, and Andrea Bertozzi,
Nonlocal Similarity Image Filtering in
the
15th International Conference on Image Analysis and Processing,
Vietri sul Mare - Salerno, September 8-11, 2009.
- Thomas Ward, Chi Wey, Robert Glidden, A. E. Hosoi, and A. L. Bertozzi, 2009
Experimental study of gravitation effects in the flow of a particle-laden thin film on an inclined plane, Physics of Fluids, 21, 083305, 2009.
preprint version .
- Andrea L. Bertozzi and Thomas Laurent,
The behavior of solutions of multidimensional aggregation
equations with mildly singular interaction kernels Chinese Annals of Mathematics, Series B,
for a special issue in honor of Andrew Majda's 60
th Birthday, 2009.
preprint version
- A. Joshi, T. Ashley, Y. Huang, and A. L. Bertozzi,
Experimental validation of cooperative environmental boundary tracking with on-board sensors, American Control Conference, St. Louis, MO, June 2009, pp. 2630-2635.
- Carola-Bibiane Schoenlieb, Andrea Bertozzi Martin Burger, and Lin He, Image Inpainting using a fourth-order total variational flow,
in SAMPTA '09,
Marseille, May 18-22, 2009.
- A. Chen, T. Wittman, A. Tartakovsky, and A. L. Bertozzi,
Image segmentation through efficient boundary sampling, in SAMPTA '09,
Marseille, May 18-22, 2009.
- Michael Moeller, Todd Wittman, and Andrea L. Bertozzi,
A Variational Approach to Hyperspectral Image Fusion,
Proc. SPIE Conference on Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XV. Orlando, Florida. April 2009.
- Benjamin Cook, Oleg Alexandrov, and Andrea Bertozzi,
Linear stability of particle laden thin films, European Physical Journal - Special Topics, 166(1), pp. 77-81, 2009.
preprint version
- Andrea L. Bertozzi, Jose A. Carrillo, and Thomas Laurent
Blowup in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity, FEATURED ARTICLE, 22 (2009) 683-710.
Featured in
most downloaded articles of 2009.
preprint version
; Thomson-Reuters 2015 "Highly Cited Paper".
-
Wen Yang, Andrea L. Bertozzi, Xiao Fan Wang,
Stability of a
second order consensus algorithm with time delay,
Proc. IEEE Conference on Decision and Control, Cancun Mexico,
2008, pages 2926-2931.
- M. B. Short, M. R. D'Orsogna, V. B. Pasour, G. E. Tita, P. J. Brantingham,
A. L. Bertozzi, and L. Chayes,
A statistical model of criminal behavior,
M3AS: Mathematical Models and Methods in Applied Sciences,
special issue on Traffic, Crowds, and Swarms,
volume 18, Supp., pages 1249-1267, 2008.; Thomson-Reuters ESI 2015 "Highly Cited Paper", Clarivate analytics "highly cited" paper 2017.
- Julia A. Dobrosotskaya and Andrea L. Bertozzi,
A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting,
IEEE Trans. Imag. Proc., 17(5), pages 657-663, 2008.
preprint version.
- H.-W. Lu, F. Bottausci, A. L. Bertozzi, C. D. Meinhart, and C.-J. Kim,
PIV Investigation of 3-Dimensional Flow in Drops Actuated by EWOD,
21st IEEE Conference on Micro Electro Mechanical Systems, 2008,
pages 571-574.
preprint version.
- B. Cook, A. L. Bertozzi, and A. E. Hosoi,
Shock
Solutions for Particle-Laden Thin Films, SIAM J. Appl. Math.
vol. 68, no. 3, pp. 760-783, 2008.
- Hsiang-Wei Lu, Frederic Bottausci, Jesse Fowler, Andrea L. Bertozzi, Carl Meinhart, and Chang-Jin "CJ" Kim,
A Study of EWOD-Driven Droplets by PIV Investigation, Lab on a Chip, 8, p. 456-461, 2008,
DOI: 10.1039/b717141b.
- Z. Jin and A. L. Bertozzi,
Evironmental Boundary Tracking and Estimation
using Multiple Autonomous Vehicles, Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, 2007, pp. 4918-4923.
preprint version.
- Andrea Bertozzi, Selim Esedoglu, and Alan Gillette,
Analysis of a two-scale Cahn-Hilliard model for image inpainting,
Multiscale Modeling and Simulation, vol. 6, no. 3, pages 913-936, 2007.
- H.-W. Lu, K. Glasner, A. L. Bertozzi, and C.-J. Kim,
A Diffuse Interface Model for Electrowetting Droplets in a Hele-Shaw Cell
J. Fluid Mech., 590:411-435, 2007.
preprint version.
- A. L. Bertozzi and T. Laurent,
Finite-time blow-up of solutions of
an aggregation equation in R^n (springer link), Comm. Math. Phys.,
274, p. 717-735, 2007. preprint version
- Y. Landa, D. Galkowski, Y. R. Huang, A. Joshi, C. Lee, K. K. Leung, G. Malla, J. Treanor, V. Voroninski, A. L. Bertozzi, and R. Tsai,
Robotic path planning and visibility
with limited sensor data, in the proceedings of the 2007
American Control Conference.
preprint version
- Kevin K. Leung, Chung H. Hsieh, Yuan R. Huang,
Abhijeet Joshi, Vlad Voroninski, and Andrea L. Bertozzi,
A second generation micro-vehicle testbed for cooperative
control and sensing strategies, Proceedings of
the 2007 American Control Conference, pages 1900-1907.
preprint version
- Y.-L. Chuang, M. R. D'Orsogna, D. Marthaler, A. L. Bertozzi, and
L. Chayes,
State Transitions and the Continuum Limit
for a 2D Interacting, Self-Propelled Particle System
Physica D, 232, 33-47, 2007.
- Yifei Lou, Paolo Favaro, A. L. Bertozzi, and S. Soatto,
Autocalibration and uncalibrated reconstruction of shape from defocus, Proceedings of the Conference on Computer
Vision and Pattern Recognition, pp. 1-8, 2007.
preprint version
- Y.-L. Chuang, Y. R. Huang, M. R. D'Orsogna, and A. L. Bertozzi,
Multi-vehicle flocking: scalability of cooperative control algorithms
using pairwise potentials, IEEE International Conference on Robotics and Automation, 2007, pp. 2292-2299.
- Andrea Bertozzi, Selim Esedoglu, and Alan Gillette,
Inpainting of Binary Images Using the Cahn-Hilliard Equation
IEEE Trans. Image Proc. 16(1) pp. 285-291, 2007.
- Andrea L. Bertozzi,
Editorial to UCLA-IPAM-NSF workshop on thin films
and fluid interfaces,
Applied Mathematics Research eXpress 2006,
published online.
- Edward Welsh, Bjorn Birnir, and Andrea L. Bertozzi,
Shocks in the Evolution of an Eroding Channel,
Applied Mathematics Research eXpress 2006,
published online.
- M. R. D'Orsogna, Y. Chuang, A. Bertozzi, and L. Chayes,
Pattern formation, stability and collapse in 2D driven particle
systems, in "Device applications of nonlinear dynamics",
pages 103-115, edited by A. Bulsara and S. Baglio
(Springer-Verlag , Berlin Heidelberg, 2006).
- Chung H. Hsieh, Yao-Li Chuang, Yuan Huang, Kevin K. Leung, Andrea L. Bertozzi, and Emilio Frazzoli,
An Economical Micro-Car Testbed for Validation of Cooperative Control
Strategies, in the Proceedings of the
2006 American Control Conference, Minneapolis, MN, June 14-16,
pages 1446-1451.
- C.M. Topaz, A.L. Bertozzi, and M.A. Lewis.
A nonlocal continuum model for biological aggregation. Bulletin of Mathematical Biology, 68(7), pages 1601-1623, 2006; Thomson-Reuters 2015 "Highly Cited Paper".
- John Greer, Andrea Bertozzi, and Guillermo Sapiro,
Fourth Order Partial Differential Equations on General Geometries,
J. Computational Physics, 216(1), pages 216-246, 2006.
- Maria R. D'Orsogna, Yao-Li Chuang, Andrea L. Bertozzi and Lincoln Chayes,
Self-propelled particles with soft-core interactions: patterns, stability, and collapse ,
Physical Review Letters, 96, 104302, 2006;
Thomson-Reuters 2015 "Highly Cited Paper".
- Chuang, Y.L., Oren, R., Bertozzi, A.L., Phillips, N., and Katul, G.G., " The porous media model for the hydraulic system of a tree: from sap flux data to transpiration rate ",
Ecological Modeling, 191(3-4), pp. 447-468, 2006.
- Mark Bowen, Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer,
Nonlinear dynamics of two-dimensional undercompressive shocks,
Physica D, Volume 209, Issues 1-4 , 15 September 2005, Pages 36-48.
- Chung H. Hsieh, Zhipu Jin, Daniel Marthaler, Bao Q. Nguyen, David J. Tung, Andrea L. Bertozzi, and Richard M. Murray, Experimental Validation of an Algorithm for Cooperative Boundary Tracking , Proceedings of the American Control Conference, Portland 2005, pp. 1078-1083.
- B. Q. Nguyen, Y-L Chuang, D. Tung, C. Hsieh, Z. Jin, L. Shi, D. Marthaler, A. L. Bertozzi, R. M. Murray, Virtual attractive-repulsive potentials for cooperative control of second order dynamic vehicles on the Caltech MVWT, Proceedings of the American Control Conference, Portland 2005, pp. 1084-1089.
- Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi,
Theory for shock dynamics in particle-laden thin films,
Physical Review Letters, March 25, 2005,
117803.
- Andrea Bertozzi, John Greer, Stanley Osher, and Kevin Vixie,
Nonlinear regularizations of TV based PDEs for image processing ,
AMS Series of Contemporary Mathematics, vol. 371, pages 29-40, Gui-Qiang Chen, George Gasper, and Joseph Jerome eds, 2005.
- M. Kemp, A.L. Bertozzi, D. Marthaler, Multi-UUV perimeter surveillance, edited by
C., Brancart, E. An, M. Benjamin,
2004 IEEE/OES Workshop on Autonomous Underwater Vehicles,
Sebasco Estates, Maine, pages 102-107.
link to online article .
- A.L. Bertozzi M. Kemp, and D. Marthaler,
Determining Environmental Boundaries: Asynchronous communication and physical scales,
Cooperative Control,
Lecture Notes in Control and Information Systems,
V. Kumar, N. Leonard, and A. S. Morse eds, vol. 309, pages 25-42, 2004.
- Chad Topaz and Andrea L. Bertozzi,
Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups ,
SIAM Journal on Applied Mathematics
Volume 65, Number 1
pp. 152-174, 2004.
- Andrea L. Bertozzi and John B. Greer, Low curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes,
Comm. Pure Appl. Math., vol. 57 no. 6
(2004),
pp. 764-790.
- John B. Greer and Andrea L. Bertozzi, Traveling wave solutions of fourth order PDEs for image processing ,
SIAM J. Math. Anal., vol. 36 no. 1
(2004),
pp. 38-68.
- T.P. Witelski, A. J. Bernoff, A. L. Bertozzi,
Blow-up and dissipation in a critical-case unstable thin film equation,
European J. Appl. Math., vol. 15, no. 2, (2004),
pp. 223-256.
- John B. Greer and Andrea L. Bertozzi, H1 Solutions of a class of fourth order nonlinear equations for image processing,
Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: V. Chepyzhov, M. Efendiev, Alain Miranville, and Roger Temam, web page , vol. 1-2 no. 10
,
pp. 349-366 preprint version.
- B. A. Wagner, A. L. Bertozzi, and L. E. Howle,
Positive Feedback Control of Rayleigh-Benard Convection ,
Discrete and Continuous Dynamical Systems Series B, 2003,
special issue in honor of David Schaeffer, vol. 3 no. 4, pp. 619-642.
- Daniel Marthaler and Andrea L. Bertozzi, Tracking environmental level sets with autonomous vehicles ,
S. Butenko, R. Murphey and P.M. Pardalos (editors), ``Recent Developments in Cooperative Control and Optimization'', Kluwer Academic Publishers, 2003.
- B. Cook, D. Marthaler, C. Topaz, A. Bertozzi, and M. Kemp,
Fractional bandwidth reacquisition algorithms for VSW-MCM,
Multi-Robot Systems: From Swarms to Intelligent Automata, Volume II, 2003, Kluwer Academic Publishers, Dordrecht, A.C. Schultz et al. eds. 77-86.
- Jeanman Sur, Andrea L. Bertozzi, Robert P. Behringer, Reverse undercompressive shock structures in driven thin film flow,
Phys. Rev. Lett. 90 (12) 126105, 2003.
- R. Buckingham, M. Shearer, and A. L. Bertozzi, Thin film traveling waves and the Navier slip condition,
SIAM J. Appl. Math.Volume 63, Number 2, pp. 722-744, 2003.
- Andrea L. Bertozzi and Mark Bowen, Thin film dynamics:theory and applications,
Modern Methods in Scientific Computing and Applications, Proceedings of the Nato Adv. Study Institute, Montreal Canada, 2001, pp. 31-79.Anne Bourlioux, Martin J. Gander, and Gert Sabidussi, eds., Nato Science Series II, Vol. 75, Kluwer, Dordrecht, 2002
.
-
M. Bertalmio, A. L. Bertozzi, and G. Sapiro,
Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting,
Proceedings of the International Conference on Computer Vision and Pattern Recognition
, IEEE, Dec. 2001, Kauai, HI, volume I, pp. I-355-I362.
- Andrea L. Bertozzi, Guenther Gruen, and Thomas P. Witelski, Dewetting films: bifurcations and concentrations ,
Nonlinearity, vol 14, number 6, Nov 2001, pp 1569-1592.
- Andrea Bertozzi, Andreas Munch, Michael Shearer, and Kevin Zumbrun, Stability of compressive and undercompressive thin film travelling waves,
European J. of Appl. Math., 12(3), pp.253-291, 2001.
- Javier Diez, Lou Kondic, and Andrea Bertozzi, Global models for moving contact lines,
Phys. Rev. E. 63, 011208 (January 2001)
[available here].
- Andrea L. Bertozzi and Mary C. Pugh, Finite-time blow-up of solutions of some long-wave unstable thin film equations ,
Indiana Univ. Mathematics J. 49(4), pp. 1323-1366, 2000
- Andrea L. Bertozzi and Michael Shearer, Existence of undercompressive traveling waves in thin film equations,
SIAM J. Math. Anal., vol 32, no. 1, pp. 194-213, 2000.
- L. Zhornitskaya and A. L. Bertozzi,
Positivity Preserving Numerical Schemes for Lubrication-Type Equations,
S.I.A.M. J. Num Anal., Vol. 37, No. 2, pp. 523-555, 2000.
- Andrea L Bertozzi, A. Munch, M. Shearer,
Undercompressive Shocks in Thin Film Flow,
Physica D, 134(4), 431-464, 1999.
- L. Kondic and A. L. Bertozzi, Nonlinear Dynamics and Transient Growth of Driven Contact Lines ,
Physics of Fluids, vol. 11, number 11, pages 3560-3562, 1999.
- L. Kondic and A. L. Bertozzi, Thin Liquid Films: Instabilities of Driven Coating Flows On A Rough Surface,
Dynamics in Small Confined Systems IV, ed. J. M. Drake, G. S. Grest, J. Klafter, and R. Kopelman, Materials Research Society Symposium Proceedings, Vol. 543, pages 213-218, 1999.
- A. Munch, A. L. Bertozzi, Rarefaction-Undercompressive Fronts in Driven Films,
Physics of Fluids (Letters) 11(10), pp. 2812-2814, 1999.
- Andrea L. Bertozzi,A. Münch and M. Shearer, Undercompressive waves in driven thin film flow: Theory, Computation, and Experiment,
Proceedings of the Conference on Trends in Mathematical Physics, Knoxville,
TN, Oct. 14-17, 1998. editors: V.Alexiades and G.Siopsis, AMS/IP Studies in Advanced Mathematics,
Volume 13, AMS and International Press, 1999, pp. 43-68.
- Andrea L Bertozzi, A. Munch, X. Fanton, A.M. Cazabat,
Contact Line Stability and 'Undercompressive Shocks'
In Driven Thin Film Flow, Physical Review Letters, 81(23),
pp. 5169-5l72, December 7, 1998.
- Andrew Bernoff, Andrea L Bertozzi, Thomas Witelski, Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinch-Off ,
J. Stat. Phys., 93(3/4), November 1998, pp. 725-776.
- Andrea L Bertozzi, M. Pugh, Long-Wave Instabilities and Saturation in Thin Film Equations,
Comm. Pur. Appl. Math., Vol. LI, pages 625-651, 1998.
- Andrea L Bertozzi,
The Mathematics of Moving Contact Lines in Thin Liquid Films ,
Notices Am. Math. Soc., 45(6), pp. 689-697, June/July 1998.
- Andrea L Bertozzi, Michael Brenner, Linear Stability and Transient Growth in Driven Contact Lines,
Physics of Fluids 9(3) March 1997, pp. 530-539.
- Robert Almgren, Andrea L Bertozzi, Michael Brenner,
Stable and Unstable Singularities in the Unforced Hele-Shaw Cell ,
Physics of Fluids 8(6), June 1996.
- Andrea L Bertozzi, Lubrication Approximations for Surface Tension Driven Interfaces: Some Open Problems,
Z. angew. Math. Mech. 76(1996) S2, pp. 373-376 .
- Andrea L Bertozzi, Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion, 34 pp,
SIAM J. Applied Math. Vol. 56, No. 3, pp. June 1996, pp. 681-714.
- Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: Regularity and Long Time Behavior of Weak Solutions,
Comm. Pure. Appl. Math., February, 49(2), 1996, pp. 85-123.
- A. J. Bernoff, Andrea L Bertozzi, Singularities in a Modified Kuramoto-Sivashinsky Equation Describing Interface Motion for Phase Transition,
Physica D 85 (1995) 375-404.
- Andrea L Bertozzi, Loss and Gain of Regularity in a Lubrication Equation for Thin Viscous Films,
Free Boundary Problems: Theory and Applications, pp. 72-85, J. I. Diaz, M. Herrero, A. Linan, J. L. Vazquez, eds., Pitman Research Notes in Mathematics Series 323, Longman House, London, 1995.
- Andrea L Bertozzi, M. Pugh, The Lubrication Approximation for Thin Viscous Films: The Moving Contact Line with a 'Porous Media' cut off of van der Waals Interactions,
Nonlinearity. 7(6)November, 1994, pp. 1535-64.
- Andrea L Bertozzi, Michael P. Brenner, Todd F. Dupont, Leo P. Kadanoff, Singularities and Similarities in Interface Flows,
Trends and Perspectives in Applied Mathematics, pp. 155-208, L. Sirovich, ed. volume 100, Springer-Verlag Applied Mathematical Sciences, 1994.
- Andrea L Bertozzi, Ashvin B. Chhabra, Cancellation Exponents and Fractal Scaling,
Phys. Rev. E., 49(5) May 1, 1994, pp. 4716-9.
- Michael Brenner and Andrea L. Bertozzi, Spreading of Droplets on a Solid Surface,
Physical Review Letters, 71 No. 4 pp. 593-596, July 26, 1993.
- Andrea L Bertozzi, James McKenna, Multidimensional Residues, Generating Functions, and Their Application To Queueing Networks,
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