Projects per year
Personal profile
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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The Fingerprint is created by mining the titles and abstracts of the person's research outputs and projects/funding awards to create an index of weighted terms from discipline-specific thesauri.
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MoDL: Analytical Foundations for Deep Learning and Inference over Graphs
7/1/22 → 6/30/25
Project: Research project
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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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Analysis and algorithms for ℓp-based semi-supervised learning on graphs
Flores, M., Calder, J. & Lerman, G., Sep 2022, In: Applied and Computational Harmonic Analysis. 60, p. 77-122 46 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications
Calder, J., Park, S. & Slepčev, D., Aug 2022, In: Journal of Scientific Computing. 92, 2, 56.Research output: Contribution to journal › Article › peer-review
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Graph-based Active Learning for Semi-supervised Classification of SAR Data∗
Miller, K., Mauro, J., Setiadi, J., Baca, X., Shi, Z., Calder, J. & Bertozzi, A. L., 2022, Algorithms for Synthetic Aperture Radar Imagery XXIX. Zelnio, E. & Garber, F. D. (eds.). SPIE, 120950C. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 12095).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs
Calder, J. & García Trillos, N., Sep 2022, In: Applied and Computational Harmonic Analysis. 60, p. 123-175 53 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
LIPSCHITZ REGULARITY OF GRAPH LAPLACIANS ON RANDOM DATA CLOUDS
Calder, J., Trillos, N. G. & Lewicka, M., 2022, In: SIAM Journal on Mathematical Analysis. 54, 1, p. 1169-1222 54 p.Research output: Contribution to journal › Article › peer-review
4 Scopus citations