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.
Fingerprint
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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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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MoDL: Analytical Foundations for Deep Learning and Inference over Graphs
Calder, J. (PI)
THE NATIONAL SCIENCE FOUNDATION
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
Calder, J. (PI)
THE NATIONAL SCIENCE FOUNDATION
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. (PI) & Calder, J. (CoI)
THE NATIONAL SCIENCE FOUNDATION
9/1/18 → 8/31/21
Project: Research project
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Using machine learning on new feature sets extracted from three-dimensional models of broken animal bones to classify fragments according to break agent
Yezzi-Woodley, K., Terwilliger, A., Li, J., Chen, E., Tappen, M., Calder, J. & Olver, P., Feb 2024, In: Journal of Human Evolution. 187, 103495.Research output: Contribution to journal › Article › peer-review
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Deep Semi-supervised Label Propagation for SAR Image Classification
Enwright, J., Hardiman-Mostow, H., Calder, J. & Bertozzi, A., 2023, Algorithms for Synthetic Aperture Radar Imagery XXX. Zelnio, E. & Garber, F. D. (eds.). SPIE, 125200G. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 12520).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access -
Novel Batch Active Learning Approach and Its Application to Synthetic Aperture Radar Datasets
Chapman, J., Chen, B., Tan, Z., Calder, J., Miller, K. & Bertozzi, A. L., 2023, Algorithms for Synthetic Aperture Radar Imagery XXX. Zelnio, E. & Garber, F. D. (eds.). SPIE, 125200B. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 12520).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access2 Scopus citations -
Online Prediction with History-Dependent Experts: The General Case
Drenska, N. & Calder, J., Sep 2023, In: Communications on Pure and Applied Mathematics. 76, 9, p. 1678-1727 50 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
Rates of convergence for Laplacian semi-supervised learning with low labeling rates
Calder, J., Slepčev, D. & Thorpe, M., Mar 2023, In: Research in Mathematical Sciences. 10, 1, 10.Research output: Contribution to journal › Article › peer-review
6 Scopus citations
Datasets
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GraphLearning Python Package
Calder, J., ZENODO, 2022
DOI: 10.5281/zenodo.5850940, https://zenodo.org/record/5850940
Dataset