Jeff Calder

Assistant Professor of Mathematics
538 Vincent Hall
School of Mathematics
University of Minnesota
Phone: 612-626-1324
Email: jcalder at umn dot edu

Preprints


  1. M. Flores, J. Calder, and G. Lerman. Algorithms for Lp-based semi-supervised learning on graphs. arXiv preprint, 2019. [ arXiv ]
  2. J. Calder, and D. Slepčev. Properly-weighted graph Laplacian for semi-supervised learning. arXiv preprint, 2018. [ arXiv ]
  3. J. Calder, and A. Yezzi. PDE Acceleration: A convergence rate analysis and applications to obstacle problems. arXiv preprint, 2018. [ arXiv ][ code ]
  4. M. Benyamin, J. Calder, G. Sundaramoorthi, and A. Yezzi. Accelerated PDE’s for efficient solution of regularized inversion problems. arXiv preprint, 2018. [ arXiv ]
  5. A.M. Oberman, and J. Calder. Lipschitz regularized Deep Neural Networks converge and generalize. arXiv preprint, 2018. [ arXiv ]
  6. J. Calder, and C. K. Smart. The limit shape of convex peeling. arXiv preprint, 2018. [ arXiv ]
  7. J. Calder. Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data. arXiv preprint, 2017. [ arXiv ]

Publications


  1. J. Calder. The game theoretic p-Laplacian and semi-supervised learning with few labels. Nonlinearity, 32(1):301, 2019. [ arXiv ]
  2. T. Gangwar, J. Calder, T. Takahashi, J. Bechtold, and D. Schillinger. Robust variational segmentation of 3D bone CT data with thin cartilage interfaces. Medical Image Analysis, 47:95--110, 2018. [ .pdf ]
  3. B. Abbasi, J. Calder, and Adam M. Oberman. Anomaly detection and classification for streaming data using partial differential equations. SIAM Journal on Applied Mathematics, 78(2):921--941, 2018. [ arXiv ]
  4. W. Thawinrak, and J. Calder. High-order filtered schemes for the Hamilton-Jacobi continuum limit of nondominated sorting. Journal of Mathematics Research, 10(1):90--109, 2018. [ arXiv ]
  5. J. Calder. Numerical schemes and rates of convergence for the Hamilton-Jacobi equation continuum limit of nondominated sorting. Numerische Mathematik, 137(4):819--856, 2017. [ arXiv ]
  6. J. Calder. A direct verification argument for the Hamilton-Jacobi equation continuum limit of nondominated sorting. Nonlinear Analysis Series A: Theory, Methods, & Applications, 141:88-108, 2016. [ .pdf ]
  7. K.-J. Hsiao, K. Xu, J. Calder, and A. O. Hero III. Multi-criteria Similarity-based Anomaly Detection using Pareto Depth Analysis. IEEE Transactions on Neural Networks and Learning Systems, 27(6):1307-1321, 2016. [ .pdf ]
  8. K.-J. Hsiao, J. Calder, and A. O. Hero III. Pareto-depth for Multiple-query Image Retrieval. IEEE Transactions on Image Processing,, 24(2):583-594, 2015. [ .pdf ]
  9. J. Calder. Directed last passage percolation with discontinuous weights. Journal of Statistical Physics, 158(45):903-949, 2015. [ .pdf ]
  10. J. Calder, S. Esedoḡlu, and A. O. Hero III. A PDE-based approach to non-dominated sorting. SIAM Journal on Numerical Analysis, 53(1):82-104, 2015. [ .pdf ]
  11. J. Calder, S. Esedoḡlu, and A. O. Hero III. A continuum limit of non-dominated sorting. In Information Theory and Applications Workshop, 2014. [ .pdf ]
  12. J. Calder, S. Esedoḡlu, and A. O. Hero III. A Hamilton-Jacobi equation for the continuum limit of non-dominated sorting. SIAM Journal on Mathematical Analysis, 46(1):603–638, 2014. [ .pdf ]
  13. K.-J. Hsiao, K. Xu, J. Calder, and A. Hero. Multi-criteria anomaly detection using Pareto depth analysis. In Advances in Neural Information Processing Systems 25, pages 854-862. 2012. [ .pdf ]
  14. J. Calder and S. Esedoḡlu. On the circular area signature for graphs. SIAM Journal on Imaging Sciences, 5(4):1355-1379, 2012. [ .pdf ]
  15. J. Calder and A.-R. Mansouri. Anisotropic image sharpening via well-posed Sobolev gradient flows. SIAM Journal on Mathematical Analysis, 43(4):1536-1556, 2011. [  .pdf ]
  16. J. Calder, A.-R. Mansouri, and A. Yezzi. New possibilities in image diffusion and sharpening via high-order Sobolev gradient flows. Journal of Mathematical Imaging and Vision, 40(3):248-258, 2011. [  .pdf ]
  17. J. Calder, A. M. Tahmasebi, and A.-R. Mansouri. A variational approach to bone segmentation in CT images. In SPIE Medical Imaging, volume 7962, 2011. [  .pdf ]
  18. J. Calder, A.-R. Mansouri, and A. Yezzi. Image sharpening via Sobolev gradient flows. SIAM Journal on Imaging Sciences, 3(4):981-1014, 2010. [  .pdf ]
  19. R. Deriche, J. Calder, and M. Descoteaux. Optimal real-time Q-ball imaging using regularized Kalman filtering with incremental orientation sets. Medical Image Analysis, 13(4):564-579, 2009. [  .pdf ]
  20. R. Deriche and J. Calder. Real-time magnetic resonance Q-ball imaging using Kalman filtering with Laplace-Beltrami regularization. In SPIE Medical Imaging, volume 7259, 2009. [  .pdf ]

Theses


  1. J. Calder. Hamilton-Jacobi equations for sorting and percolation problems. PhD Thesis, University of Michigan, June 2014. [  .pdf ]
  2. J. Calder. Sobolev gradient flows and image processing. Master's thesis, Queen's University, August 2010. [  .pdf ]
  3. J. Calder, D. Awamleh, and A. MacAulay. Region tracking over an image sequence. Mathematics and Engineering Undergraduate Thesis, Queen's University, April 2008. [  .pdf ]

Patents


  1. J. Calder and T. Sun. Efficient implementation of branch intensive algorithms in VLIW and superscalar processors. US Patent Number 8019979, Issued on September 13, 2011. [  .pdf ]