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I created one of the first mesh-generation algorithm to offer a mathematical guarantee about the quality of the resulting mesh.
The technique, which is based on interval analysis, is initialization independent, and if properly implemented provides a mathematical guarantee that the correct solution to the phase stability problem has been found.
However, there is no mathematical guarantee for a genetic algorithm to reach a global optimum.
Thus, there is no strict mathematical guarantee that the normal vector components will be selected in the first s iterations.
Differential privacy is one such field with one of the strongest mathematical guarantee and with a large scope of future development.
(vii) Differential privacy in big data scenario is yet to be explored and implemented in real world datasets on a large scale to make use of its full potential being the one with the strongest mathematical guarantee. .
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This new paper builds upon earlier work from the Camera Culture group, by now introducing mathematical guarantees as to when 3D shape can be accurately recovered.
Computer system security is traditionally regarded as a primarily technological concern; the fundamental questions to which security researchers address themselves are those of the mathematical guarantees that can be made for the performance of various communication and computational challenges.
However, more theoretical work is needed to derive mathematical guarantees for robust recovery.
"I think being able to do all of these things asynchronously with all of the mathematical guarantees is very difficult," he continues, returning to the core consensus challenge.
Dissertation: "Novel Computational Protein Design Algorithms with Sparse Residue Interaction Graphs, Ensembles, and Mathematical Guarantees, and their Application to Antibody Design". Department of Computer Science, Duke University.
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