Projects per year
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Research interests
My research involves interactions between partial differential equations (PDE), numerical schemes, applied probability, and computer science. I am interested in both the rigorous analysis of PDE, and the development and implementation of algorithms. It is exciting when mathematical analysis and insights can lead to more efficient algorithms. A continuing theme in my current research is finding continuum limits for discrete combinatorial problems. I am particularly interested when these continuum limits involve solving nonlinear PDEs, and have applications in science and engineering.
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CAREER: Harnessing the continuum for big data: Partial differential equations, calculus of variations and machine learning
7/1/20 → 6/30/25
Project: Research project
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Geometric Analysis for Classification and Reassembly of Broken Bones
Olver, P. J. & Calder, J.
9/1/18 → 8/31/21
Project: Research project
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A continuum limit for the PageRank algorithm
Yuan, A., Calder, J. & Osting, B., Apr 27 2021, In: European Journal of Applied Mathematics. 2100009.Research output: Contribution to journal › Article › peer-review
Open Access -
Asymptotically Optimal Strategies for Online Prediction with History-Dependent Experts
Calder, J. & Drenska, N., Apr 2021, In: Journal of Fourier Analysis and Applications. 27, 2, 20.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
The virtual goniometer: demonstrating a new method for measuring angles on archaeological materials using fragmentary bone
Yezzi-Woodley, K., Calder, J., Olver, P. J., Cody, P., Huffstutler, T., Terwilliger, A., Melton, J. A., Tappen, M., Coil, R. & Tostevin, G. B., Jun 4 2021, In: Archaeological and Anthropological Sciences. 13, 7, 106.Research output: Contribution to journal › Article › peer-review
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Accelerated Variational PDEs for Efficient Solution of Regularized Inversion Problems
Benyamin, M., Calder, J., Sundaramoorthi, G. & Yezzi, A., Jan 1 2020, In: Journal of Mathematical Imaging and Vision. 62, 1, p. 10-36 27 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
Poisson learning: Graph based semi-supervised learning at very low label rates
Calder, J., Cook, B. B., Thorpe, M. & Slepčev, D., 2020, 37th International Conference on Machine Learning, ICML 2020. Daume, H. & Singh, A. (eds.). International Machine Learning Society (IMLS), p. 1283-1293 11 p. (37th International Conference on Machine Learning, ICML 2020; vol. PartF168147-2).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution