Toward Scientific Workflows in a Serverless World
Aakash Khochare, Yogesh Simmhan, et al.
eScience 2022
The configuration of the critical points of a smooth function of two variables is studied under the assumption that the function is Morse, that is, that all of its critical points are nondegenerate. A critical point configuration graph (CPCG) is derived from the critical points, ridge lines, and course lines of the function. Then a result from the theory of critical points of Morse functions is applied to obtain several constraints on the number and type of critical points that appear on cycles of a CPCG. These constraints yield a catalog of equivalent CPCG cycles containing four entries. The slope districts induced by a critical point configuration graph appear useful for describing the behavior of smooth functions of two variables, such as surfaces, images, and the radius function of three-dimensional symmetric axes. © 1984 IEEE
Aakash Khochare, Yogesh Simmhan, et al.
eScience 2022
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ICLR 2024
Maan Qraitem, Kate Saenko, et al.
CVPR 2023
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Journal of the ACM